TSTP Solution File: GRP271-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP271-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n017.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 16:54:06 EDT 2024
% Result : Unsatisfiable 11.24s 11.42s
% Output : Proof 11.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP271-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun May 26 19:28:24 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.24/11.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.eep9diWOQ2/cvc5---1.0.5_12626.smt2
% 11.24/11.42 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.eep9diWOQ2/cvc5---1.0.5_12626.smt2
% 11.53/11.72 (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.53/11.72 (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.53/11.72 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.53/11.72 (assume a3 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.53/11.72 (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.53/11.72 (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.53/11.72 (assume a6 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.53/11.72 (assume a7 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.53/11.72 (assume a8 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.53/11.72 (assume a9 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.53/11.72 (assume a10 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.53/11.72 (assume a11 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.53/11.72 (assume a12 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.53/11.72 (assume a13 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.53/11.72 (assume a14 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.53/11.72 (assume a15 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.53/11.72 (assume a16 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.53/11.72 (assume a17 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.53/11.72 (assume a18 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.53/11.72 (assume a19 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.53/11.72 (assume a20 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.53/11.72 (assume a21 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.53/11.72 (assume a22 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.53/11.72 (assume a23 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.53/11.72 (assume a24 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.53/11.72 (assume a25 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.53/11.72 (assume a26 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.53/11.72 (assume a27 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.53/11.72 (assume a28 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.53/11.72 (assume a29 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.53/11.72 (assume a30 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.53/11.72 (assume a31 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.53/11.72 (assume a32 (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.53/11.72 (assume a33 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.53/11.72 (assume a34 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.53/11.72 (assume a35 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.53/11.72 (assume a36 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.53/11.72 (assume a37 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.53/11.72 (assume a38 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.53/11.72 (assume a39 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.53/11.72 (assume a40 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.53/11.72 (assume a41 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.53/11.72 (assume a42 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.53/11.72 (assume a43 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)))
% 11.53/11.72 (assume a44 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)))
% 11.53/11.72 (assume a45 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)))
% 11.53/11.72 (assume a46 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)))
% 11.53/11.72 (assume a47 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)))
% 11.53/11.72 (assume a48 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)))
% 11.53/11.72 (assume a49 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c8 tptp.sk_c10) tptp.sk_c11)))
% 11.53/11.72 (assume a50 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c7) tptp.sk_c6)))
% 11.53/11.72 (assume a51 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c6) tptp.sk_c8)))
% 11.53/11.72 (assume a52 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)))
% 11.53/11.72 (assume a53 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))))
% 11.53/11.72 (step t1 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) (not (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule equiv_pos2)
% 11.53/11.72 (anchor :step t2 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2) (X5 $$unsorted) (:= X5 X5) (X6 $$unsorted) (:= X6 X6) (X7 $$unsorted) (:= X7 X7) (X8 $$unsorted) (:= X8 X8)))
% 11.53/11.72 (step t2.t1 (cl (= X3 X3)) :rule refl)
% 11.53/11.72 (step t2.t2 (cl (= X4 X4)) :rule refl)
% 11.53/11.72 (step t2.t3 (cl (= X1 X1)) :rule refl)
% 11.53/11.72 (step t2.t4 (cl (= X2 X2)) :rule refl)
% 11.53/11.72 (step t2.t5 (cl (= X5 X5)) :rule refl)
% 11.53/11.72 (step t2.t6 (cl (= X6 X6)) :rule refl)
% 11.53/11.72 (step t2.t7 (cl (= X7 X7)) :rule refl)
% 11.53/11.72 (step t2.t8 (cl (= X8 X8)) :rule refl)
% 11.53/11.72 (step t2.t9 (cl (= (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11)))) :rule all_simplify)
% 11.53/11.72 (step t2.t10 (cl (= (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))))) :rule cong :premises (t2.t9))
% 11.53/11.72 (step t2.t11 (cl (= (= (tptp.inverse X3) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X3)))) :rule all_simplify)
% 11.53/11.72 (step t2.t12 (cl (= (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X3))))) :rule cong :premises (t2.t11))
% 11.53/11.72 (step t2.t13 (cl (= (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.53/11.72 (step t2.t14 (cl (= (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule cong :premises (t2.t13))
% 11.53/11.72 (step t2.t15 (cl (= (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10)))) :rule all_simplify)
% 11.53/11.72 (step t2.t16 (cl (= (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))))) :rule cong :premises (t2.t15))
% 11.53/11.72 (step t2.t17 (cl (= (= (tptp.inverse X4) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X4)))) :rule all_simplify)
% 11.53/11.72 (step t2.t18 (cl (= (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X4))))) :rule cong :premises (t2.t17))
% 11.53/11.72 (step t2.t19 (cl (= (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11)))) :rule all_simplify)
% 11.53/11.72 (step t2.t20 (cl (= (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))))) :rule cong :premises (t2.t19))
% 11.53/11.72 (step t2.t21 (cl (= (= (tptp.inverse X1) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse X1)))) :rule all_simplify)
% 11.53/11.72 (step t2.t22 (cl (= (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.inverse X1))))) :rule cong :premises (t2.t21))
% 11.53/11.72 (step t2.t23 (cl (= (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10)))) :rule all_simplify)
% 11.53/11.72 (step t2.t24 (cl (= (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))))) :rule cong :premises (t2.t23))
% 11.53/11.72 (step t2.t25 (cl (= (= (tptp.inverse X2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse X2)))) :rule all_simplify)
% 11.53/11.72 (step t2.t26 (cl (= (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= tptp.sk_c10 (tptp.inverse X2))))) :rule cong :premises (t2.t25))
% 11.53/11.72 (step t2.t27 (cl (= (= (tptp.multiply X5 X6) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X5 X6)))) :rule all_simplify)
% 11.53/11.72 (step t2.t28 (cl (= (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X5 X6))))) :rule cong :premises (t2.t27))
% 11.53/11.72 (step t2.t29 (cl (= (= (tptp.inverse X5) X6) (= X6 (tptp.inverse X5)))) :rule all_simplify)
% 11.53/11.72 (step t2.t30 (cl (= (not (= (tptp.inverse X5) X6)) (not (= X6 (tptp.inverse X5))))) :rule cong :premises (t2.t29))
% 11.53/11.72 (step t2.t31 (cl (= (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10)))) :rule all_simplify)
% 11.53/11.72 (step t2.t32 (cl (= (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))))) :rule cong :premises (t2.t31))
% 11.53/11.72 (step t2.t33 (cl (= (= (tptp.inverse X7) X8) (= X8 (tptp.inverse X7)))) :rule all_simplify)
% 11.53/11.72 (step t2.t34 (cl (= (not (= (tptp.inverse X7) X8)) (not (= X8 (tptp.inverse X7))))) :rule cong :premises (t2.t33))
% 11.53/11.72 (step t2.t35 (cl (= (= (tptp.inverse X8) X6) (= X6 (tptp.inverse X8)))) :rule all_simplify)
% 11.53/11.72 (step t2.t36 (cl (= (not (= (tptp.inverse X8) X6)) (not (= X6 (tptp.inverse X8))))) :rule cong :premises (t2.t35))
% 11.53/11.72 (step t2.t37 (cl (= (= (tptp.multiply X7 X6) X8) (= X8 (tptp.multiply X7 X6)))) :rule all_simplify)
% 11.53/11.72 (step t2.t38 (cl (= (not (= (tptp.multiply X7 X6) X8)) (not (= X8 (tptp.multiply X7 X6))))) :rule cong :premises (t2.t37))
% 11.53/11.72 (step t2.t39 (cl (= (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8))) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))) :rule cong :premises (t2.t10 t2.t12 t2.t14 t2.t16 t2.t18 t2.t20 t2.t22 t2.t24 t2.t26 t2.t28 t2.t30 t2.t32 t2.t34 t2.t36 t2.t38))
% 11.53/11.72 (step t2 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))))) :rule bind)
% 11.53/11.72 (step t3 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))))) :rule all_simplify)
% 11.53/11.72 (step t4 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule refl)
% 11.53/11.72 (step t5 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))) :rule refl)
% 11.53/11.72 (step t6 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))) :rule refl)
% 11.53/11.72 (step t7 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule refl)
% 11.53/11.72 (step t8 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule refl)
% 11.53/11.72 (step t9 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule all_simplify)
% 11.53/11.72 (anchor :step t10 :args ((X5 $$unsorted) (:= X5 X5) (X7 $$unsorted) (:= X7 X7)))
% 11.53/11.72 (step t10.t1 (cl (= X5 X5)) :rule refl)
% 11.53/11.72 (step t10.t2 (cl (= X7 X7)) :rule refl)
% 11.53/11.72 (step t10.t3 (cl (= (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))))) :rule refl)
% 11.53/11.72 (step t10.t4 (cl (= (= (tptp.inverse X5) (tptp.inverse X5)) true)) :rule all_simplify)
% 11.53/11.72 (step t10.t5 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) (not true))) :rule cong :premises (t10.t4))
% 11.53/11.72 (step t10.t6 (cl (= (not true) false)) :rule all_simplify)
% 11.53/11.72 (step t10.t7 (cl (= (not (= (tptp.inverse X5) (tptp.inverse X5))) false)) :rule trans :premises (t10.t5 t10.t6))
% 11.53/11.72 (step t10.t8 (cl (= (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))))) :rule refl)
% 11.53/11.72 (step t10.t9 (cl (= (= (tptp.inverse X7) (tptp.inverse X7)) true)) :rule all_simplify)
% 11.53/11.72 (step t10.t10 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) (not true))) :rule cong :premises (t10.t9))
% 11.53/11.72 (step t10.t11 (cl (= (not (= (tptp.inverse X7) (tptp.inverse X7))) false)) :rule trans :premises (t10.t10 t10.t6))
% 11.53/11.72 (step t10.t12 (cl (= (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))))) :rule refl)
% 11.53/11.72 (step t10.t13 (cl (= (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) :rule refl)
% 11.53/11.72 (step t10.t14 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) false (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule cong :premises (t10.t3 t10.t7 t10.t8 t10.t11 t10.t12 t10.t13))
% 11.53/11.72 (step t10.t15 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) false (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) false (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule all_simplify)
% 11.53/11.72 (step t10.t16 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule trans :premises (t10.t14 t10.t15))
% 11.53/11.72 (step t10 (cl (= (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= (tptp.inverse X5) (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X7) (tptp.inverse X7))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule bind)
% 11.53/11.72 (step t11 (cl (= (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule trans :premises (t9 t10))
% 11.53/11.72 (step t12 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule cong :premises (t4 t5 t6 t7 t8 t11))
% 11.53/11.72 (step t13 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))) (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))) (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))) (not (= tptp.sk_c11 (tptp.multiply X5 X6))) (not (= X6 (tptp.inverse X5))) (not (= tptp.sk_c11 (tptp.multiply X6 tptp.sk_c10))) (not (= X8 (tptp.inverse X7))) (not (= X6 (tptp.inverse X8))) (not (= X8 (tptp.multiply X7 X6))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule trans :premises (t3 t12))
% 11.53/11.72 (step t14 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.multiply X5 X6) tptp.sk_c11)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.inverse X8) X6)) (not (= (tptp.multiply X7 X6) X8)))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))))) :rule trans :premises (t2 t13))
% 11.53/11.72 (step t15 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule resolution :premises (t1 t14 a53))
% 11.53/11.72 (step t16 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t15))
% 11.53/11.72 (step t17 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t18)
% 11.53/11.72 (assume t18.a0 (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))
% 11.53/11.72 (step t18.t1 (cl (or (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule forall_inst :args ((:= X5 tptp.identity) (:= X7 tptp.identity)))
% 11.53/11.72 (step t18.t2 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule or :premises (t18.t1))
% 11.53/11.72 (step t18.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule resolution :premises (t18.t2 t18.a0))
% 11.53/11.72 (step t18 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule subproof :discharge (t18.a0))
% 11.53/11.72 (step t19 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule resolution :premises (t17 t18))
% 11.53/11.72 (step t20 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule implies_neg2)
% 11.53/11.72 (step t21 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule resolution :premises (t19 t20))
% 11.53/11.72 (step t22 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule contraction :premises (t21))
% 11.53/11.72 (step t23 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule implies :premises (t22))
% 11.53/11.72 (step t24 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule or_pos)
% 11.53/11.72 (step t25 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule reordering :premises (t24))
% 11.53/11.72 (step t26 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule and_neg)
% 11.53/11.72 (step t27 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t28)
% 11.53/11.72 (assume t28.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.53/11.72 (assume t28.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.53/11.72 (assume t28.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.53/11.72 (assume t28.a3 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.53/11.72 (assume t28.a4 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.53/11.72 (assume t28.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.53/11.72 (assume t28.a6 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.53/11.72 (assume t28.a7 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.53/11.72 (assume t28.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.53/11.72 (assume t28.a9 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.53/11.72 (assume t28.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.53/11.72 (assume t28.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.53/11.72 (assume t28.a14 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.53/11.72 (assume t28.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.53/11.72 (assume t28.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.53/11.72 (assume t28.a17 (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.53/11.72 (assume t28.a18 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.53/11.72 (assume t28.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.53/11.72 (assume t28.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.53/11.72 (assume t28.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.53/11.72 (assume t28.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.53/11.72 (step t28.t1 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t28.t2)
% 11.53/11.72 (assume t28.t2.a0 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.53/11.72 (assume t28.t2.a1 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.53/11.72 (assume t28.t2.a2 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.53/11.72 (assume t28.t2.a3 (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.53/11.72 (assume t28.t2.a4 (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))))
% 11.53/11.72 (assume t28.t2.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.53/11.72 (step t28.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t28.t2.a5))
% 11.53/11.72 (step t28.t2.t2 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t28.t2.t1))
% 11.53/11.72 (step t28.t2.t3 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t28.t2.a4))
% 11.53/11.72 (step t28.t2.t4 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule symm :premises (t28.t2.t3))
% 11.53/11.72 (step t28.t2.t5 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule symm :premises (t28.t2.a3))
% 11.53/11.72 (step t28.t2.t6 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t28.t2.t5))
% 11.53/11.72 (step t28.t2.t7 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t28.t2.a2))
% 11.53/11.72 (step t28.t2.t8 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t28.t2.t7))
% 11.53/11.72 (step t28.t2.t9 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse tptp.identity))) :rule symm :premises (t28.t2.a1))
% 11.53/11.72 (step t28.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t28.t2.a0))
% 11.53/11.72 (step t28.t2.t11 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule symm :premises (t28.t2.t10))
% 11.53/11.72 (step t28.t2.t12 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule trans :premises (t28.t2.t2 t28.t2.t4 t28.t2.t6 t28.t2.t8 t28.t2.t9 t28.t2.t11))
% 11.53/11.72 (step t28.t2 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule subproof :discharge (t28.t2.a0 t28.t2.a1 t28.t2.a2 t28.t2.a3 t28.t2.a4 t28.t2.a5))
% 11.53/11.72 (step t28.t3 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.53/11.72 (step t28.t4 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.53/11.72 (step t28.t5 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.53/11.72 (step t28.t6 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.53/11.72 (step t28.t7 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.53/11.72 (step t28.t8 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t9 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t28.t2 t28.t3 t28.t4 t28.t5 t28.t6 t28.t7 t28.t8))
% 11.53/11.72 (step t28.t10 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule reordering :premises (t28.t9))
% 11.53/11.72 (step t28.t11 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule contraction :premises (t28.t10))
% 11.53/11.72 (step t28.t12 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t28.t1 t28.t11))
% 11.53/11.72 (step t28.t13 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.53/11.72 (step t28.t14 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t28.t12 t28.t13))
% 11.53/11.72 (step t28.t15 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule contraction :premises (t28.t14))
% 11.53/11.72 (step t28.t16 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule implies :premises (t28.t15))
% 11.53/11.72 (step t28.t17 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule and_neg)
% 11.53/11.72 (step t28.t18 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t28.t19)
% 11.53/11.72 (assume t28.t19.a0 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.53/11.72 (assume t28.t19.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.53/11.72 (assume t28.t19.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.53/11.72 (assume t28.t19.a3 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.t19.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.53/11.72 (assume t28.t19.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.53/11.72 (assume t28.t19.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.53/11.72 (assume t28.t19.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.53/11.72 (assume t28.t19.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (step t28.t19.t1 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.53/11.72 (step t28.t19.t2 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t28.t19.a8))
% 11.53/11.72 (step t28.t19.t3 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t28.t19.t2))
% 11.53/11.72 (step t28.t19.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t28.t19.a6))
% 11.53/11.72 (step t28.t19.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t28.t19.t4))
% 11.53/11.72 (step t28.t19.t6 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t28.t19.a7))
% 11.53/11.72 (step t28.t19.t7 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t28.t19.t5 t28.t19.t6))
% 11.53/11.72 (step t28.t19.t8 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t28.t19.t3 t28.t19.t7))
% 11.53/11.72 (step t28.t19.t9 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t28.t19.t1 t28.t19.t8))
% 11.53/11.72 (step t28.t19.t10 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t28.t19.a5))
% 11.53/11.72 (step t28.t19.t11 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t28.t19.a4))
% 11.53/11.72 (step t28.t19.t12 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t28.t19.a3))
% 11.53/11.72 (step t28.t19.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t28.t19.t12 t28.t19.a1))
% 11.53/11.72 (step t28.t19.t14 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t19.a2))
% 11.53/11.72 (step t28.t19.t15 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t28.t19.t14))
% 11.53/11.72 (step t28.t19.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t28.t19.a1))
% 11.53/11.72 (step t28.t19.t17 (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 (t28.t19.t15 t28.t19.t16))
% 11.53/11.72 (step t28.t19.t18 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t19.t15))
% 11.53/11.72 (step t28.t19.t19 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.53/11.72 (step t28.t19.t20 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t28.t19.t18 t28.t19.t19))
% 11.53/11.72 (step t28.t19.t21 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t28.t19.t11 t28.t19.t13 t28.t19.t17 t28.t19.t20 t28.t19.t16))
% 11.53/11.72 (step t28.t19.t22 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.53/11.72 (step t28.t19.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t28.t19.t21 t28.t19.t22))
% 11.53/11.72 (step t28.t19.t24 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t28.t19.a3 t28.t19.t9 t28.t19.t10 t28.t19.t23))
% 11.53/11.72 (step t28.t19.t25 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t28.t19.t24))
% 11.53/11.72 (step t28.t19.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t28.t19.a0))
% 11.53/11.72 (step t28.t19.t27 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t28.t19.t26))
% 11.53/11.72 (step t28.t19.t28 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule trans :premises (t28.t19.t25 t28.t19.t27))
% 11.53/11.72 (step t28.t19 (cl (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t28.t19.a0 t28.t19.a1 t28.t19.a2 t28.t19.a3 t28.t19.a4 t28.t19.a5 t28.t19.a6 t28.t19.a7 t28.t19.a8))
% 11.53/11.72 (step t28.t20 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.53/11.72 (step t28.t21 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t22 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.53/11.72 (step t28.t23 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t24 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t25 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.53/11.72 (step t28.t26 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t27 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t28 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t29 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t28.t19 t28.t20 t28.t21 t28.t22 t28.t23 t28.t24 t28.t25 t28.t26 t28.t27 t28.t28))
% 11.53/11.72 (step t28.t30 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t28.t29))
% 11.53/11.72 (step t28.t31 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t28.t30))
% 11.53/11.72 (step t28.t32 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t28.t18 t28.t31))
% 11.53/11.72 (step t28.t33 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.53/11.72 (step t28.t34 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t28.t32 t28.t33))
% 11.53/11.72 (step t28.t35 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t28.t34))
% 11.53/11.72 (step t28.t36 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t28.t35))
% 11.53/11.72 (step t28.t37 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_neg)
% 11.53/11.72 (step t28.t38 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t28.t37 t28.a18 t28.a7 t28.a5 t28.a11 t28.a20 t28.a22 t28.a8 t28.a1 t28.a9))
% 11.53/11.72 (step t28.t39 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t28.t36 t28.t38))
% 11.53/11.72 (step t28.t40 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t28.t41)
% 11.53/11.72 (assume t28.t41.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.53/11.72 (assume t28.t41.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.53/11.72 (assume t28.t41.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.t41.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.53/11.72 (assume t28.t41.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.53/11.72 (assume t28.t41.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.53/11.72 (assume t28.t41.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.53/11.72 (assume t28.t41.a7 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.t41.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.53/11.72 (assume t28.t41.a9 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.53/11.72 (assume t28.t41.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.53/11.72 (assume t28.t41.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.53/11.72 (step t28.t41.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t28.t41.a11))
% 11.53/11.72 (step t28.t41.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t28.t41.t1))
% 11.53/11.72 (step t28.t41.t3 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t28.t41.a9))
% 11.53/11.72 (step t28.t41.t4 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t28.t41.a8))
% 11.53/11.72 (step t28.t41.t5 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t28.t41.t4))
% 11.53/11.72 (step t28.t41.t6 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t28.t41.a3))
% 11.53/11.72 (step t28.t41.t7 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t28.t41.a2))
% 11.53/11.72 (step t28.t41.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t28.t41.t7 t28.t41.a0))
% 11.53/11.72 (step t28.t41.t9 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t41.a1))
% 11.53/11.72 (step t28.t41.t10 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t28.t41.t9))
% 11.53/11.72 (step t28.t41.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t28.t41.a0))
% 11.53/11.72 (step t28.t41.t12 (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 (t28.t41.t10 t28.t41.t11))
% 11.53/11.72 (step t28.t41.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t41.t10))
% 11.53/11.72 (step t28.t41.t14 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.53/11.72 (step t28.t41.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t28.t41.t13 t28.t41.t14))
% 11.53/11.72 (step t28.t41.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t28.t41.t6 t28.t41.t8 t28.t41.t12 t28.t41.t15 t28.t41.t11))
% 11.53/11.72 (step t28.t41.t17 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.53/11.72 (step t28.t41.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t28.t41.t16 t28.t41.t17))
% 11.53/11.72 (step t28.t41.t19 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t28.t41.t18))
% 11.53/11.72 (step t28.t41.t20 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.53/11.72 (step t28.t41.t21 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t28.t41.a7))
% 11.53/11.72 (step t28.t41.t22 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t28.t41.t21))
% 11.53/11.72 (step t28.t41.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t28.t41.a5))
% 11.53/11.72 (step t28.t41.t24 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t28.t41.t23))
% 11.53/11.72 (step t28.t41.t25 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t28.t41.a6))
% 11.53/11.72 (step t28.t41.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t28.t41.t24 t28.t41.t25))
% 11.53/11.72 (step t28.t41.t27 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t28.t41.t22 t28.t41.t26))
% 11.53/11.72 (step t28.t41.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t28.t41.t20 t28.t41.t27))
% 11.53/11.72 (step t28.t41.t29 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t28.t41.t28))
% 11.53/11.72 (step t28.t41.t30 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t28.t41.t3 t28.t41.t5 t28.t41.t19 t28.t41.a4 t28.t41.t29 t28.t41.t7))
% 11.53/11.72 (step t28.t41.t31 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.53/11.72 (step t28.t41.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t28.t41.t30 t28.t41.t31))
% 11.53/11.72 (step t28.t41.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t28.t41.a10))
% 11.53/11.72 (step t28.t41.t34 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t28.t41.t2 t28.t41.t32 t28.t41.t33))
% 11.53/11.72 (step t28.t41.t35 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t28.t41.t34))
% 11.53/11.72 (step t28.t41.t36 (cl (= (tptp.inverse tptp.identity) tptp.identity)) :rule trans :premises (t28.t41.t35 t28.t41.t3 t28.t41.t5 t28.t41.t19 t28.t41.a4 t28.t41.t29 t28.t41.t7))
% 11.53/11.72 (step t28.t41.t37 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule cong :premises (t28.t41.t36))
% 11.53/11.72 (step t28.t41.t38 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t28.t41.a4))
% 11.53/11.72 (step t28.t41.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t28.t41.a2 t28.t41.t28 t28.t41.t38 t28.t41.t18))
% 11.53/11.72 (step t28.t41.t40 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t28.t41.t39))
% 11.53/11.72 (step t28.t41.t41 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule trans :premises (t28.t41.t37 t28.t41.t40))
% 11.53/11.72 (step t28.t41 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t28.t41.a0 t28.t41.a1 t28.t41.a2 t28.t41.a3 t28.t41.a4 t28.t41.a5 t28.t41.a6 t28.t41.a7 t28.t41.a8 t28.t41.a9 t28.t41.a10 t28.t41.a11))
% 11.53/11.72 (step t28.t42 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t43 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.53/11.72 (step t28.t44 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t45 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t46 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.53/11.72 (step t28.t47 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t48 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.53/11.72 (step t28.t49 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.53/11.72 (step t28.t50 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.53/11.72 (step t28.t51 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.53/11.72 (step t28.t52 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.53/11.72 (step t28.t53 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.53/11.72 (step t28.t54 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t28.t41 t28.t42 t28.t43 t28.t44 t28.t45 t28.t46 t28.t47 t28.t48 t28.t49 t28.t50 t28.t51 t28.t52 t28.t53))
% 11.53/11.72 (step t28.t55 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule reordering :premises (t28.t54))
% 11.53/11.72 (step t28.t56 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule contraction :premises (t28.t55))
% 11.53/11.72 (step t28.t57 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t28.t40 t28.t56))
% 11.53/11.72 (step t28.t58 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.53/11.72 (step t28.t59 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t28.t57 t28.t58))
% 11.53/11.72 (step t28.t60 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t28.t59))
% 11.53/11.72 (step t28.t61 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t28.t60))
% 11.53/11.72 (step t28.t62 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.53/11.72 (step t28.t63 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t28.t62 t28.a7 t28.a5 t28.a11 t28.a20 t28.a22 t28.a8 t28.a1 t28.a9 t28.a0 t28.a2 t28.a10 t28.a12))
% 11.53/11.72 (step t28.t64 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t28.t61 t28.t63))
% 11.53/11.72 (step t28.t65 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies_neg1)
% 11.53/11.72 (anchor :step t28.t66)
% 11.53/11.72 (assume t28.t66.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.53/11.72 (assume t28.t66.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.53/11.72 (assume t28.t66.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.53/11.72 (assume t28.t66.a3 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.53/11.72 (assume t28.t66.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.53/11.72 (assume t28.t66.a5 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.53/11.72 (assume t28.t66.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.53/11.72 (assume t28.t66.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.53/11.72 (assume t28.t66.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.53/11.72 (assume t28.t66.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.53/11.72 (assume t28.t66.a10 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.72 (assume t28.t66.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.72 (assume t28.t66.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.72 (assume t28.t66.a13 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.72 (assume t28.t66.a14 (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.72 (assume t28.t66.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.72 (assume t28.t66.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.72 (assume t28.t66.a17 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.72 (assume t28.t66.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.72 (assume t28.t66.a19 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.72 (assume t28.t66.a20 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.72 (step t28.t66.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t28.t66.a9))
% 11.55/11.72 (step t28.t66.t2 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t28.t66.a20))
% 11.55/11.72 (step t28.t66.t3 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t28.t66.t2))
% 11.55/11.72 (step t28.t66.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t28.t66.a19))
% 11.55/11.72 (step t28.t66.t5 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t28.t66.t4))
% 11.55/11.72 (step t28.t66.t6 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.55/11.72 (step t28.t66.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule cong :premises (t28.t66.a12 t28.t66.t6))
% 11.55/11.72 (step t28.t66.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t28.t66.a18))
% 11.55/11.72 (step t28.t66.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule symm :premises (t28.t66.t8))
% 11.55/11.72 (step t28.t66.t10 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.55/11.72 (step t28.t66.t11 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t28.t66.a17))
% 11.55/11.72 (step t28.t66.t12 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t28.t66.t11))
% 11.55/11.72 (step t28.t66.t13 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t28.t66.t12 t28.t66.t6))
% 11.55/11.72 (step t28.t66.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t28.t66.a16))
% 11.55/11.72 (step t28.t66.t15 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.55/11.72 (step t28.t66.t16 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t28.t66.a10))
% 11.55/11.72 (step t28.t66.t17 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t28.t66.t16))
% 11.55/11.72 (step t28.t66.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t28.t66.a8))
% 11.55/11.72 (step t28.t66.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t28.t66.t18))
% 11.55/11.72 (step t28.t66.t20 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t28.t66.t19 t28.t66.t1))
% 11.55/11.72 (step t28.t66.t21 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t28.t66.t17 t28.t66.t20))
% 11.55/11.72 (step t28.t66.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t28.t66.t15 t28.t66.t21))
% 11.55/11.72 (step t28.t66.t23 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t28.t66.a7))
% 11.55/11.72 (step t28.t66.t24 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t28.t66.a6))
% 11.55/11.72 (step t28.t66.t25 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t28.t66.a5))
% 11.55/11.72 (step t28.t66.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t28.t66.t25 t28.t66.a3))
% 11.55/11.72 (step t28.t66.t27 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t66.a4))
% 11.55/11.72 (step t28.t66.t28 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t28.t66.t27))
% 11.55/11.72 (step t28.t66.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t28.t66.a3))
% 11.55/11.72 (step t28.t66.t30 (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 (t28.t66.t28 t28.t66.t29))
% 11.55/11.72 (step t28.t66.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t28.t66.t28))
% 11.55/11.72 (step t28.t66.t32 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.55/11.72 (step t28.t66.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t28.t66.t31 t28.t66.t32))
% 11.55/11.72 (step t28.t66.t34 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t28.t66.t24 t28.t66.t26 t28.t66.t30 t28.t66.t33 t28.t66.t29))
% 11.55/11.72 (step t28.t66.t35 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.55/11.72 (step t28.t66.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t28.t66.t34 t28.t66.t35))
% 11.55/11.72 (step t28.t66.t37 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t28.t66.a2))
% 11.55/11.72 (step t28.t66.t38 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) :rule trans :premises (t28.t66.t13 t28.t66.t14 t28.t66.a5 t28.t66.t22 t28.t66.t23 t28.t66.t36 t28.t66.t37))
% 11.55/11.72 (step t28.t66.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10))) :rule cong :premises (t28.t66.t10 t28.t66.t38))
% 11.55/11.72 (step t28.t66.t40 (cl (= tptp.sk_c5 (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10))) :rule trans :premises (t28.t66.t5 t28.t66.t7 t28.t66.t9 t28.t66.t39))
% 11.55/11.72 (step t28.t66.t41 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.55/11.72 (step t28.t66.t42 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule cong :premises (t28.t66.t40 t28.t66.t41))
% 11.55/11.72 (step t28.t66.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule symm :premises (t28.t66.a15))
% 11.55/11.72 (step t28.t66.t44 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule symm :premises (t28.t66.t43))
% 11.55/11.72 (step t28.t66.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t28.t66.a14))
% 11.55/11.72 (step t28.t66.t46 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t28.t66.t36))
% 11.55/11.72 (step t28.t66.t47 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t28.t66.t22))
% 11.55/11.72 (step t28.t66.t48 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.identity)) :rule trans :premises (t28.t66.t45 t28.t66.t46 t28.t66.a7 t28.t66.t47 t28.t66.t25))
% 11.55/11.72 (step t28.t66.t49 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t28.t66.a2 t28.t66.a14 t28.t66.t48))
% 11.55/11.72 (step t28.t66.t50 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t28.t66.t49 t28.t66.t41))
% 11.55/11.72 (step t28.t66.t51 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t28.t66.a13))
% 11.55/11.72 (step t28.t66.t52 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c8) tptp.sk_c8)) :rule trans :premises (t28.t66.t50 t28.t66.t51))
% 11.55/11.72 (step t28.t66.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t28.t66.t10 t28.t66.t52))
% 11.55/11.72 (step t28.t66.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t28.t66.a12))
% 11.55/11.72 (step t28.t66.t55 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t28.t66.a1))
% 11.55/11.72 (step t28.t66.t56 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t28.t66.t55))
% 11.55/11.72 (step t28.t66.t57 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t28.t66.a11))
% 11.55/11.72 (step t28.t66.t58 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t28.t66.t57))
% 11.55/11.72 (step t28.t66.t59 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t28.t66.a5 t28.t66.t22 t28.t66.t23 t28.t66.t36 t28.t66.t37 t28.t66.t56))
% 11.55/11.72 (step t28.t66.t60 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.72 (step t28.t66.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t28.t66.t59 t28.t66.t60))
% 11.55/11.72 (step t28.t66.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t28.t66.a0))
% 11.55/11.72 (step t28.t66.t63 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t28.t66.t62))
% 11.55/11.72 (step t28.t66.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t28.t66.t63))
% 11.55/11.72 (step t28.t66.t65 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t28.t66.t58 t28.t66.t61 t28.t66.t64))
% 11.55/11.72 (step t28.t66.t66 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t28.t66.t65))
% 11.55/11.72 (step t28.t66.t67 (cl (= tptp.identity (tptp.inverse tptp.identity))) :rule trans :premises (t28.t66.a5 t28.t66.t22 t28.t66.t23 t28.t66.t36 t28.t66.t37 t28.t66.t56 t28.t66.t66))
% 11.55/11.72 (step t28.t66.t68 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule cong :premises (t28.t66.t67))
% 11.55/11.72 (step t28.t66.t69 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule trans :premises (t28.t66.t1 t28.t66.t3 t28.t66.t42 t28.t66.t44 t28.t66.t53 t28.t66.t54 t28.t66.a5 t28.t66.t22 t28.t66.t23 t28.t66.t36 t28.t66.t37 t28.t66.t56 t28.t66.t66 t28.t66.t68))
% 11.55/11.72 (step t28.t66 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (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_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule subproof :discharge (t28.t66.a0 t28.t66.a1 t28.t66.a2 t28.t66.a3 t28.t66.a4 t28.t66.a5 t28.t66.a6 t28.t66.a7 t28.t66.a8 t28.t66.a9 t28.t66.a10 t28.t66.a11 t28.t66.a12 t28.t66.a13 t28.t66.a14 t28.t66.a15 t28.t66.a16 t28.t66.a17 t28.t66.a18 t28.t66.a19 t28.t66.a20))
% 11.55/11.72 (step t28.t67 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.72 (step t28.t68 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.72 (step t28.t69 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.72 (step t28.t70 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.72 (step t28.t71 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.72 (step t28.t72 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.72 (step t28.t73 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.72 (step t28.t74 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.72 (step t28.t75 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.72 (step t28.t76 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.72 (step t28.t77 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.72 (step t28.t78 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.72 (step t28.t79 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.72 (step t28.t80 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.72 (step t28.t81 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.72 (step t28.t82 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.72 (step t28.t83 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.72 (step t28.t84 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.72 (step t28.t85 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.72 (step t28.t86 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.72 (step t28.t87 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.72 (step t28.t88 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule resolution :premises (t28.t66 t28.t67 t28.t68 t28.t69 t28.t70 t28.t71 t28.t72 t28.t73 t28.t74 t28.t75 t28.t76 t28.t77 t28.t78 t28.t79 t28.t80 t28.t81 t28.t82 t28.t83 t28.t84 t28.t85 t28.t86 t28.t87))
% 11.55/11.72 (step t28.t89 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule reordering :premises (t28.t88))
% 11.55/11.73 (step t28.t90 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule contraction :premises (t28.t89))
% 11.55/11.73 (step t28.t91 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t28.t65 t28.t90))
% 11.55/11.73 (step t28.t92 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.73 (step t28.t93 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))))) :rule resolution :premises (t28.t91 t28.t92))
% 11.55/11.73 (step t28.t94 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))))) :rule contraction :premises (t28.t93))
% 11.55/11.73 (step t28.t95 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule implies :premises (t28.t94))
% 11.55/11.73 (step t28.t96 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (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_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_neg)
% 11.55/11.73 (step t28.t97 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t28.t96 t28.a12 t28.a2 t28.a0 t28.a7 t28.a5 t28.a11 t28.a20 t28.a22 t28.a8 t28.a1 t28.a9 t28.a10 t28.a16 t28.a14 t28.a17 t28.a21 t28.a15 t28.a4 t28.a19 t28.a13 t28.a3))
% 11.55/11.73 (step t28.t98 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t28.t95 t28.t97))
% 11.55/11.73 (step t28.t99 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse tptp.sk_c3) (tptp.inverse (tptp.inverse tptp.identity))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t28.t17 t28.a6 t28.t39 t28.a18 t28.t64 t28.t98 t28.a1))
% 11.55/11.73 (step t28.t100 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t28.t16 t28.t99))
% 11.55/11.73 (step t28 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule subproof :discharge (t28.a0 t28.a1 t28.a2 t28.a3 t28.a4 t28.a5 t28.a6 t28.a7 t28.a8 t28.a9 t28.a10 t28.a11 t28.a12 t28.a13 t28.a14 t28.a15 t28.a16 t28.a17 t28.a18 t28.a19 t28.a20 t28.a21 t28.a22))
% 11.55/11.73 (step t29 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.73 (step t30 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t31 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t32 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t33 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t34 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.73 (step t35 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.55/11.73 (step t36 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t37 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t38 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t39 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t40 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t41 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t42 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t43 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t44 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t45 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t46 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.73 (step t47 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.73 (step t48 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.73 (step t49 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t50 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.73 (step t51 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.73 (step t52 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))))) :rule resolution :premises (t28 t29 t30 t31 t32 t33 t34 t35 t36 t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51))
% 11.55/11.73 (step t53 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule reordering :premises (t52))
% 11.55/11.73 (step t54 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule contraction :premises (t53))
% 11.55/11.73 (step t55 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t27 t54))
% 11.55/11.73 (step t56 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.73 (step t57 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t55 t56))
% 11.55/11.73 (step t58 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule contraction :premises (t57))
% 11.55/11.73 (step t59 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule implies :premises (t58))
% 11.55/11.73 (step t60 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t26 t59))
% 11.55/11.73 (step t61 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule reordering :premises (t60))
% 11.55/11.73 (step t62 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.55/11.73 (step t63 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule all_simplify)
% 11.55/11.73 (step t64 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule all_simplify)
% 11.55/11.73 (step t65 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t63 t64))
% 11.55/11.73 (step t66 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t62 t65 a3))
% 11.55/11.73 (step t67 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t66))
% 11.55/11.73 (step t68 (cl (not (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule equiv_pos2)
% 11.55/11.73 (step t69 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule refl)
% 11.55/11.73 (step t70 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule refl)
% 11.55/11.73 (step t71 (cl (= (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule refl)
% 11.55/11.73 (step t72 (cl (= (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule refl)
% 11.55/11.73 (step t73 (cl (= (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule refl)
% 11.55/11.73 (step t74 (cl (= (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule refl)
% 11.55/11.73 (step t75 (cl (= (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.55/11.73 (step t76 (cl (= (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true) (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv_simplify)
% 11.55/11.73 (step t77 (cl (not (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule equiv1 :premises (t76))
% 11.55/11.73 (step t78 (cl (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))))) :rule all_simplify)
% 11.55/11.73 (step t79 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule refl)
% 11.55/11.73 (step t80 (cl (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.55/11.73 (step t81 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule cong :premises (t79 t80))
% 11.55/11.73 (step t82 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) :rule all_simplify)
% 11.55/11.73 (step t83 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) true)) :rule trans :premises (t81 t82))
% 11.55/11.73 (step t84 (cl (= (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) true)) :rule trans :premises (t78 t83))
% 11.55/11.73 (step t85 (cl (= (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t77 t84))
% 11.55/11.73 (step t86 (cl (= (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule refl)
% 11.55/11.73 (step t87 (cl (= (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule refl)
% 11.55/11.73 (step t88 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule refl)
% 11.55/11.73 (step t89 (cl (= (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))))) :rule refl)
% 11.55/11.73 (step t90 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule refl)
% 11.55/11.73 (step t91 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))))) :rule refl)
% 11.55/11.73 (step t92 (cl (= (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule refl)
% 11.55/11.73 (step t93 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))))) :rule refl)
% 11.55/11.73 (step t94 (cl (= (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule refl)
% 11.55/11.73 (step t95 (cl (= (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule refl)
% 11.55/11.73 (step t96 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule refl)
% 11.55/11.73 (step t97 (cl (= (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))))) :rule refl)
% 11.55/11.73 (step t98 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule refl)
% 11.55/11.73 (step t99 (cl (= (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule refl)
% 11.55/11.73 (step t100 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule refl)
% 11.55/11.73 (step t101 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))))) :rule refl)
% 11.55/11.73 (step t102 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule refl)
% 11.55/11.73 (step t103 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule refl)
% 11.55/11.73 (step t104 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule refl)
% 11.55/11.73 (step t105 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule refl)
% 11.55/11.73 (step t106 (cl (= (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))))) :rule cong :premises (t69 t70 t71 t72 t73 t74 t75 t85 t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105))
% 11.55/11.73 (step t107 (cl (not (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))))) (not (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule equiv_pos2)
% 11.55/11.73 (step t108 (cl (= (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule refl)
% 11.55/11.73 (step t109 (cl (= (= (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))))) :rule equiv_simplify)
% 11.55/11.73 (step t110 (cl (= (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (not (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))))) :rule equiv2 :premises (t109))
% 11.55/11.73 (step t111 (cl (not (not (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule not_not)
% 11.55/11.73 (step t112 (cl (= (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t110 t111))
% 11.55/11.73 (step t113 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t114)
% 11.55/11.73 (assume t114.a0 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.55/11.73 (assume t114.a1 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 11.55/11.73 (assume t114.a2 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 11.55/11.73 (assume t114.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.73 (assume t114.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t114.a5 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.73 (assume t114.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t114.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.73 (assume t114.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.73 (assume t114.a9 (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))
% 11.55/11.73 (step t114.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 11.55/11.73 (step t114.t2 (cl (= (= false true) false)) :rule all_simplify)
% 11.55/11.73 (step t114.t3 (cl (= (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule equiv_simplify)
% 11.55/11.73 (step t114.t4 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false) (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule equiv2 :premises (t114.t3))
% 11.55/11.73 (step t114.t5 (cl (not (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule not_not)
% 11.55/11.73 (step t114.t6 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t114.t4 t114.t5))
% 11.55/11.73 (step t114.t7 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false)) :rule resolution :premises (t114.t6 t114.a9))
% 11.55/11.73 (step t114.t8 (cl (= false (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t114.t7))
% 11.55/11.73 (step t114.t9 (cl (= (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) true) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule equiv_simplify)
% 11.55/11.73 (step t114.t10 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) true) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule equiv2 :premises (t114.t9))
% 11.55/11.73 (step t114.t11 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t114.a0))
% 11.55/11.73 (step t114.t12 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule symm :premises (t114.t11))
% 11.55/11.73 (step t114.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c10)) :rule symm :premises (t114.a4))
% 11.55/11.73 (step t114.t14 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t114.a3))
% 11.55/11.73 (step t114.t15 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t114.t14))
% 11.55/11.73 (step t114.t16 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) :rule symm :premises (t114.a2))
% 11.55/11.73 (step t114.t17 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t114.t16))
% 11.55/11.73 (step t114.t18 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.identity))) :rule symm :premises (t114.a1))
% 11.55/11.73 (step t114.t19 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule trans :premises (t114.t13 t114.t15 t114.t17 t114.t18 t114.t12))
% 11.55/11.73 (step t114.t20 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.identity)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t114.t19))
% 11.55/11.73 (step t114.t21 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t114.a8))
% 11.55/11.73 (step t114.t22 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t114.a7))
% 11.55/11.73 (step t114.t23 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t114.a6))
% 11.55/11.73 (step t114.t24 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t114.t23))
% 11.55/11.73 (step t114.t25 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t114.t21 t114.t22 t114.t24 t114.a5))
% 11.55/11.73 (step t114.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t114.t25))
% 11.55/11.73 (step t114.t27 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t114.t12 t114.t20 t114.a5 t114.t26))
% 11.55/11.73 (step t114.t28 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) true)) :rule resolution :premises (t114.t10 t114.t27))
% 11.55/11.73 (step t114.t29 (cl (= false true)) :rule trans :premises (t114.t8 t114.t28))
% 11.55/11.73 (step t114.t30 (cl false) :rule resolution :premises (t114.t1 t114.t2 t114.t29))
% 11.55/11.73 (step t114 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) :rule subproof :discharge (t114.a0 t114.a1 t114.a2 t114.a3 t114.a4 t114.a5 t114.a6 t114.a7 t114.a8 t114.a9))
% 11.55/11.73 (step t115 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.55/11.73 (step t116 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.55/11.73 (step t117 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.55/11.73 (step t118 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t119 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t120 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.73 (step t121 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t122 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t123 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t124 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.55/11.73 (step t125 (cl false (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t114 t115 t116 t117 t118 t119 t120 t121 t122 t123 t124))
% 11.55/11.73 (step t126 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) false) :rule reordering :premises (t125))
% 11.55/11.73 (step t127 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) false) :rule contraction :premises (t126))
% 11.55/11.73 (step t128 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) false) :rule resolution :premises (t113 t127))
% 11.55/11.73 (step t129 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (not false)) :rule implies_neg2)
% 11.55/11.73 (step t130 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false)) :rule resolution :premises (t128 t129))
% 11.55/11.73 (step t131 (cl (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false)) :rule contraction :premises (t130))
% 11.55/11.73 (step t132 (cl (= (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))))) :rule implies_simplify)
% 11.55/11.73 (step t133 (cl (not (=> (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false)) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule equiv1 :premises (t132))
% 11.55/11.73 (step t134 (cl (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t131 t133))
% 11.55/11.73 (step t135 (cl (= (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) false)) :rule resolution :premises (t112 t134))
% 11.55/11.73 (step t136 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) false))) :rule cong :premises (t108 t135))
% 11.55/11.73 (step t137 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) false) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))))) :rule all_simplify)
% 11.55/11.73 (step t138 (cl (= (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))))) :rule trans :premises (t136 t137))
% 11.55/11.73 (step t139 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t140)
% 11.55/11.73 (assume t140.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.73 (assume t140.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.73 (assume t140.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.73 (assume t140.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.73 (assume t140.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.73 (assume t140.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.73 (assume t140.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t140.a7 (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.55/11.73 (assume t140.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.73 (assume t140.a9 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))
% 11.55/11.73 (assume t140.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.73 (assume t140.a11 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.73 (assume t140.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.73 (assume t140.a13 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.73 (assume t140.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.73 (assume t140.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.73 (assume t140.a16 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.73 (assume t140.a17 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.73 (assume t140.a18 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.73 (assume t140.a19 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 11.55/11.73 (assume t140.a20 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.73 (assume t140.a21 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.73 (assume t140.a22 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.73 (assume t140.a23 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.73 (assume t140.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.73 (assume t140.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.73 (assume t140.a26 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.73 (assume t140.a27 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.73 (step t140.t1 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule and_neg)
% 11.55/11.73 (step t140.t2 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t140.t3)
% 11.55/11.73 (assume t140.t3.a0 (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))
% 11.55/11.73 (assume t140.t3.a1 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.73 (assume t140.t3.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.73 (assume t140.t3.a3 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.73 (assume t140.t3.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t140.t3.a5 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.73 (assume t140.t3.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.73 (assume t140.t3.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.73 (assume t140.t3.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t3.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t3.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.73 (assume t140.t3.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.73 (assume t140.t3.a12 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.73 (assume t140.t3.a13 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.73 (assume t140.t3.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.73 (step t140.t3.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t140.t3.a14))
% 11.55/11.73 (step t140.t3.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t140.t3.t1))
% 11.55/11.73 (step t140.t3.t3 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t140.t3.a13))
% 11.55/11.73 (step t140.t3.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t140.t3.a12))
% 11.55/11.73 (step t140.t3.t5 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t140.t3.t4))
% 11.55/11.73 (step t140.t3.t6 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.73 (step t140.t3.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t140.t3.t5 t140.t3.t6))
% 11.55/11.73 (step t140.t3.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t140.t3.a11))
% 11.55/11.73 (step t140.t3.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t140.t3.t8))
% 11.55/11.73 (step t140.t3.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t140.t3.a10))
% 11.55/11.73 (step t140.t3.t11 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t3.a2 t140.t3.t10))
% 11.55/11.73 (step t140.t3.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t140.t3.a9))
% 11.55/11.73 (step t140.t3.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t140.t3.t12))
% 11.55/11.73 (step t140.t3.t14 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.73 (step t140.t3.t15 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t140.t3.a3 t140.t3.t6))
% 11.55/11.73 (step t140.t3.t16 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t140.t3.a8))
% 11.55/11.73 (step t140.t3.t17 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t140.t3.t16))
% 11.55/11.73 (step t140.t3.t18 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.73 (step t140.t3.t19 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t140.t3.a4))
% 11.55/11.73 (step t140.t3.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t140.t3.t18 t140.t3.t19))
% 11.55/11.73 (step t140.t3.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t3.t20))
% 11.55/11.73 (step t140.t3.t22 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t140.t3.a3 t140.t3.t21))
% 11.55/11.73 (step t140.t3.t23 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule cong :premises (t140.t3.a4 t140.t3.t22))
% 11.55/11.73 (step t140.t3.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t3.a7))
% 11.55/11.73 (step t140.t3.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t140.t3.a6))
% 11.55/11.73 (step t140.t3.t26 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.73 (step t140.t3.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t3.t25 t140.t3.t26))
% 11.55/11.73 (step t140.t3.t28 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t140.t3.a5))
% 11.55/11.73 (step t140.t3.t29 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.inverse tptp.sk_c1))) :rule trans :premises (t140.t3.t23 t140.t3.t24 t140.t3.t27 t140.t3.t28))
% 11.55/11.73 (step t140.t3.t30 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t3.t18 t140.t3.t29))
% 11.55/11.73 (step t140.t3.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t140.t3.a3))
% 11.55/11.73 (step t140.t3.t32 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t140.t3.t15 t140.t3.t17 t140.t3.t30 t140.t3.t20 t140.t3.t31))
% 11.55/11.73 (step t140.t3.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t3.t14 t140.t3.t32))
% 11.55/11.73 (step t140.t3.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t140.t3.a2))
% 11.55/11.73 (step t140.t3.t35 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t140.t3.t3 t140.t3.a10 t140.t3.t7 t140.t3.t9 t140.t3.t11 t140.t3.t13 t140.t3.t33 t140.t3.t34))
% 11.55/11.73 (step t140.t3.t36 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.73 (step t140.t3.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t140.t3.t35 t140.t3.t36))
% 11.55/11.73 (step t140.t3.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t140.t3.a1))
% 11.55/11.73 (step t140.t3.t39 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t140.t3.t2 t140.t3.t37 t140.t3.t38))
% 11.55/11.73 (step t140.t3.t40 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t140.t3.t39))
% 11.55/11.73 (step t140.t3.t41 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) :rule symm :premises (t140.t3.a0))
% 11.55/11.73 (step t140.t3.t42 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t140.t3.t41))
% 11.55/11.73 (step t140.t3.t43 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t140.t3.t40 t140.t3.t42))
% 11.55/11.73 (step t140.t3 (cl (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t140.t3.a0 t140.t3.a1 t140.t3.a2 t140.t3.a3 t140.t3.a4 t140.t3.a5 t140.t3.a6 t140.t3.a7 t140.t3.a8 t140.t3.a9 t140.t3.a10 t140.t3.a11 t140.t3.a12 t140.t3.a13 t140.t3.a14))
% 11.55/11.73 (step t140.t4 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.55/11.73 (step t140.t5 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t140.t6 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t7 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.73 (step t140.t8 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t9 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.73 (step t140.t10 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t11 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.73 (step t140.t12 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t13 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t14 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t15 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t16 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.73 (step t140.t17 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t140.t18 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= 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 and_pos)
% 11.55/11.73 (step t140.t19 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t140.t3 t140.t4 t140.t5 t140.t6 t140.t7 t140.t8 t140.t9 t140.t10 t140.t11 t140.t12 t140.t13 t140.t14 t140.t15 t140.t16 t140.t17 t140.t18))
% 11.55/11.73 (step t140.t20 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule reordering :premises (t140.t19))
% 11.55/11.73 (step t140.t21 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t140.t20))
% 11.55/11.73 (step t140.t22 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t140.t2 t140.t21))
% 11.55/11.73 (step t140.t23 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.55/11.73 (step t140.t24 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t140.t22 t140.t23))
% 11.55/11.73 (step t140.t25 (cl (=> (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t140.t24))
% 11.55/11.73 (step t140.t26 (cl (not (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t140.t25))
% 11.55/11.73 (step t140.t27 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.55/11.73 (step t140.t28 (cl (and (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t140.t27 t140.a19 t140.a17 t140.a15 t140.a0 t140.a6 t140.a11 t140.a10 t140.a12 t140.a24 t140.a25 t140.a14 t140.a13 t140.a8 t140.a3 t140.a18))
% 11.55/11.73 (step t140.t29 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t140.t26 t140.t28))
% 11.55/11.73 (step t140.t30 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t140.t31)
% 11.55/11.73 (assume t140.t31.a0 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t140.t31.a1 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.73 (assume t140.t31.a2 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.73 (assume t140.t31.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.73 (assume t140.t31.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.73 (assume t140.t31.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.73 (assume t140.t31.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.73 (assume t140.t31.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.73 (assume t140.t31.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.73 (assume t140.t31.a9 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.73 (assume t140.t31.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.73 (assume t140.t31.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.73 (assume t140.t31.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t31.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t31.a14 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.73 (assume t140.t31.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.73 (assume t140.t31.a16 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.73 (assume t140.t31.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.73 (assume t140.t31.a18 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.73 (step t140.t31.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t140.t31.a16))
% 11.55/11.73 (step t140.t31.t2 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t140.t31.t1))
% 11.55/11.73 (step t140.t31.t3 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.73 (step t140.t31.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t140.t31.t2 t140.t31.t3))
% 11.55/11.73 (step t140.t31.t5 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t140.t31.a15))
% 11.55/11.73 (step t140.t31.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t140.t31.t5))
% 11.55/11.73 (step t140.t31.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t140.t31.a14))
% 11.55/11.73 (step t140.t31.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t31.a7 t140.t31.t7))
% 11.55/11.73 (step t140.t31.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t140.t31.a13))
% 11.55/11.73 (step t140.t31.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t140.t31.t9))
% 11.55/11.73 (step t140.t31.t11 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.73 (step t140.t31.t12 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t140.t31.a8 t140.t31.t3))
% 11.55/11.73 (step t140.t31.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t140.t31.a12))
% 11.55/11.73 (step t140.t31.t14 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t140.t31.t13))
% 11.55/11.73 (step t140.t31.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.73 (step t140.t31.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t140.t31.a0))
% 11.55/11.73 (step t140.t31.t17 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t140.t31.t16))
% 11.55/11.73 (step t140.t31.t18 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t140.t31.t15 t140.t31.t16))
% 11.55/11.73 (step t140.t31.t19 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t31.t18))
% 11.55/11.73 (step t140.t31.t20 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t140.t31.a8 t140.t31.t19))
% 11.55/11.73 (step t140.t31.t21 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule cong :premises (t140.t31.t17 t140.t31.t20))
% 11.55/11.73 (step t140.t31.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t31.a11))
% 11.55/11.73 (step t140.t31.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t140.t31.a10))
% 11.55/11.73 (step t140.t31.t24 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.73 (step t140.t31.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t31.t23 t140.t31.t24))
% 11.55/11.73 (step t140.t31.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t140.t31.a9))
% 11.55/11.73 (step t140.t31.t27 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.inverse tptp.sk_c1))) :rule trans :premises (t140.t31.t21 t140.t31.t22 t140.t31.t25 t140.t31.t26))
% 11.55/11.73 (step t140.t31.t28 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t31.t15 t140.t31.t27))
% 11.55/11.73 (step t140.t31.t29 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t140.t31.a8))
% 11.55/11.73 (step t140.t31.t30 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t140.t31.t12 t140.t31.t14 t140.t31.t28 t140.t31.t18 t140.t31.t29))
% 11.55/11.73 (step t140.t31.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t31.t11 t140.t31.t30))
% 11.55/11.73 (step t140.t31.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t140.t31.a7))
% 11.55/11.73 (step t140.t31.t33 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.55/11.73 (step t140.t31.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t140.t31.a18))
% 11.55/11.73 (step t140.t31.t35 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t140.t31.t34))
% 11.55/11.73 (step t140.t31.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t140.t31.t31))
% 11.55/11.73 (step t140.t31.t37 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t140.t31.t8))
% 11.55/11.73 (step t140.t31.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t140.t31.t4))
% 11.55/11.73 (step t140.t31.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule trans :premises (t140.t31.a7 t140.t31.t36 t140.t31.t9 t140.t31.t37 t140.t31.t5 t140.t31.t38 t140.t31.t7 t140.t31.a8))
% 11.55/11.73 (step t140.t31.t40 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t140.t31.t39 t140.t31.t29))
% 11.55/11.73 (step t140.t31.t41 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.55/11.73 (step t140.t31.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) :rule cong :premises (t140.t31.t40 t140.t31.t41))
% 11.55/11.73 (step t140.t31.t43 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c8))) :rule trans :premises (t140.t31.t35 t140.t31.t42))
% 11.55/11.73 (step t140.t31.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule cong :premises (t140.t31.t33 t140.t31.t43))
% 11.55/11.73 (step t140.t31.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule symm :premises (t140.t31.a17))
% 11.55/11.73 (step t140.t31.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t140.t31.a6))
% 11.55/11.73 (step t140.t31.t47 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t140.t31.t46))
% 11.55/11.73 (step t140.t31.t48 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t140.t31.a5))
% 11.55/11.73 (step t140.t31.t49 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.55/11.73 (step t140.t31.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t140.t31.t48 t140.t31.t49))
% 11.55/11.73 (step t140.t31.t51 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t140.t31.a14 t140.t31.t4 t140.t31.t6 t140.t31.t8 t140.t31.t10 t140.t31.t31 t140.t31.t32 t140.t31.t47 t140.t31.t50))
% 11.55/11.73 (step t140.t31.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t140.t31.t33 t140.t31.t51))
% 11.55/11.73 (step t140.t31.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t140.t31.a4))
% 11.55/11.73 (step t140.t31.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t140.t31.a3))
% 11.55/11.73 (step t140.t31.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t140.t31.t54 t140.t31.t49))
% 11.55/11.73 (step t140.t31.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t140.t31.a2))
% 11.55/11.73 (step t140.t31.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c5)) :rule trans :premises (t140.t31.t52 t140.t31.t53 t140.t31.t55 t140.t31.t56))
% 11.55/11.73 (step t140.t31.t58 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule cong :premises (t140.t31.t57 t140.t31.t41))
% 11.55/11.73 (step t140.t31.t59 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t140.t31.a1))
% 11.55/11.73 (step t140.t31.t60 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t140.t31.a14 t140.t31.t4 t140.t31.t6 t140.t31.t8 t140.t31.t10 t140.t31.t31 t140.t31.t32 t140.t31.a3 t140.t31.t44 t140.t31.t45 t140.t31.t58 t140.t31.t59 t140.t31.t17))
% 11.55/11.73 (step t140.t31 (cl (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t140.t31.a0 t140.t31.a1 t140.t31.a2 t140.t31.a3 t140.t31.a4 t140.t31.a5 t140.t31.a6 t140.t31.a7 t140.t31.a8 t140.t31.a9 t140.t31.a10 t140.t31.a11 t140.t31.a12 t140.t31.a13 t140.t31.a14 t140.t31.a15 t140.t31.a16 t140.t31.a17 t140.t31.a18))
% 11.55/11.73 (step t140.t32 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t33 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t140.t34 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t140.t35 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t140.t36 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.73 (step t140.t37 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t140.t38 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t140.t39 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t40 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.73 (step t140.t41 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.73 (step t140.t42 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t43 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.73 (step t140.t44 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t45 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t46 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t47 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t48 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.73 (step t140.t49 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.73 (step t140.t50 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t140.t51 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule resolution :premises (t140.t31 t140.t32 t140.t33 t140.t34 t140.t35 t140.t36 t140.t37 t140.t38 t140.t39 t140.t40 t140.t41 t140.t42 t140.t43 t140.t44 t140.t45 t140.t46 t140.t47 t140.t48 t140.t49 t140.t50))
% 11.55/11.73 (step t140.t52 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t140.t51))
% 11.55/11.73 (step t140.t53 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t140.t52))
% 11.55/11.73 (step t140.t54 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t140.t30 t140.t53))
% 11.55/11.73 (step t140.t55 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.55/11.73 (step t140.t56 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t140.t54 t140.t55))
% 11.55/11.73 (step t140.t57 (cl (=> (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t140.t56))
% 11.55/11.73 (step t140.t58 (cl (not (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t140.t57))
% 11.55/11.73 (step t140.t59 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule and_neg)
% 11.55/11.73 (step t140.t60 (cl (and (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t140.t59 t140.a6 t140.a4 t140.a20 t140.a23 t140.a26 t140.a5 t140.a22 t140.a15 t140.a0 t140.a11 t140.a10 t140.a12 t140.a24 t140.a25 t140.a14 t140.a13 t140.a8 t140.a27 t140.a21))
% 11.55/11.73 (step t140.t61 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t140.t58 t140.t60))
% 11.55/11.73 (step t140.t62 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t140.t63)
% 11.55/11.73 (assume t140.t63.a0 (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))
% 11.55/11.73 (assume t140.t63.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.73 (assume t140.t63.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.73 (assume t140.t63.a3 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.73 (assume t140.t63.a4 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.73 (assume t140.t63.a5 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.73 (assume t140.t63.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.73 (assume t140.t63.a7 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.73 (assume t140.t63.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.73 (assume t140.t63.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t63.a10 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.73 (assume t140.t63.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.73 (assume t140.t63.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.73 (assume t140.t63.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.73 (assume t140.t63.a14 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.73 (assume t140.t63.a15 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.73 (assume t140.t63.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.73 (assume t140.t63.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.73 (step t140.t63.t1 (cl (= (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule equiv_simplify)
% 11.55/11.73 (step t140.t63.t2 (cl (not (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false)) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule equiv1 :premises (t140.t63.t1))
% 11.55/11.73 (step t140.t63.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t140.t63.a17))
% 11.55/11.73 (step t140.t63.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t140.t63.t3))
% 11.55/11.73 (step t140.t63.t5 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t140.t63.a15))
% 11.55/11.73 (step t140.t63.t6 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t140.t63.a6))
% 11.55/11.73 (step t140.t63.t7 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t140.t63.t6))
% 11.55/11.73 (step t140.t63.t8 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.73 (step t140.t63.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t140.t63.t7 t140.t63.t8))
% 11.55/11.73 (step t140.t63.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t140.t63.a7))
% 11.55/11.73 (step t140.t63.t11 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t140.t63.t10))
% 11.55/11.73 (step t140.t63.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t140.t63.a5))
% 11.55/11.73 (step t140.t63.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t63.a8 t140.t63.t12))
% 11.55/11.73 (step t140.t63.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t140.t63.a9))
% 11.55/11.73 (step t140.t63.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t140.t63.t14))
% 11.55/11.73 (step t140.t63.t16 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.73 (step t140.t63.t17 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t140.t63.a10 t140.t63.t8))
% 11.55/11.73 (step t140.t63.t18 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t140.t63.a11))
% 11.55/11.73 (step t140.t63.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t140.t63.t18))
% 11.55/11.73 (step t140.t63.t20 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.73 (step t140.t63.t21 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t140.t63.a1))
% 11.55/11.73 (step t140.t63.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t140.t63.t20 t140.t63.t21))
% 11.55/11.73 (step t140.t63.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t63.t22))
% 11.55/11.73 (step t140.t63.t24 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t140.t63.a10 t140.t63.t23))
% 11.55/11.73 (step t140.t63.t25 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule cong :premises (t140.t63.a1 t140.t63.t24))
% 11.55/11.73 (step t140.t63.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t63.a12))
% 11.55/11.73 (step t140.t63.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t140.t63.a13))
% 11.55/11.73 (step t140.t63.t28 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.73 (step t140.t63.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t63.t27 t140.t63.t28))
% 11.55/11.73 (step t140.t63.t30 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t140.t63.a14))
% 11.55/11.73 (step t140.t63.t31 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.inverse tptp.sk_c1))) :rule trans :premises (t140.t63.t25 t140.t63.t26 t140.t63.t29 t140.t63.t30))
% 11.55/11.73 (step t140.t63.t32 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t140.t63.t20 t140.t63.t31))
% 11.55/11.73 (step t140.t63.t33 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t140.t63.a10))
% 11.55/11.73 (step t140.t63.t34 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t140.t63.t17 t140.t63.t19 t140.t63.t32 t140.t63.t22 t140.t63.t33))
% 11.55/11.73 (step t140.t63.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t140.t63.t16 t140.t63.t34))
% 11.55/11.73 (step t140.t63.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t140.t63.a8))
% 11.55/11.73 (step t140.t63.t37 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t140.t63.t5 t140.t63.a5 t140.t63.t9 t140.t63.t11 t140.t63.t13 t140.t63.t15 t140.t63.t35 t140.t63.t36))
% 11.55/11.73 (step t140.t63.t38 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.73 (step t140.t63.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t140.t63.t37 t140.t63.t38))
% 11.55/11.73 (step t140.t63.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t140.t63.a16))
% 11.55/11.73 (step t140.t63.t41 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t140.t63.t4 t140.t63.t39 t140.t63.t40))
% 11.55/11.73 (step t140.t63.t42 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t140.t63.t41))
% 11.55/11.73 (step t140.t63.t43 (cl (= (tptp.inverse tptp.identity) tptp.sk_c10)) :rule trans :premises (t140.t63.t42 t140.t63.t5))
% 11.55/11.73 (step t140.t63.t44 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t140.t63.t29))
% 11.55/11.73 (step t140.t63.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t140.t63.t25))
% 11.55/11.73 (step t140.t63.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t140.t63.t35))
% 11.55/11.73 (step t140.t63.t47 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t140.t63.t13))
% 11.55/11.73 (step t140.t63.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t140.t63.t9))
% 11.55/11.73 (step t140.t63.t49 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t140.t63.a8 t140.t63.t46 t140.t63.t14 t140.t63.t47 t140.t63.t10 t140.t63.t48 t140.t63.t12))
% 11.55/11.73 (step t140.t63.t50 (cl (= tptp.sk_c10 tptp.identity)) :rule symm :premises (t140.t63.t49))
% 11.55/11.73 (step t140.t63.t51 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t140.t63.a2 t140.t63.t50))
% 11.55/11.73 (step t140.t63.t52 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t140.t63.a2))
% 11.55/11.73 (step t140.t63.t53 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule symm :premises (t140.t63.t37))
% 11.55/11.73 (step t140.t63.t54 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t140.t63.t41 t140.t63.t53))
% 11.55/11.73 (step t140.t63.t55 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t140.t63.t38 t140.t63.t37))
% 11.55/11.73 (step t140.t63.t56 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t140.t63.t38 t140.t63.t49))
% 11.55/11.73 (step t140.t63.t57 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t140.t63.a4))
% 11.55/11.73 (step t140.t63.t58 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t140.t63.t7 t140.t63.t54 t140.t63.t55 t140.t63.t56 t140.t63.t57))
% 11.55/11.73 (step t140.t63.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t140.t63.t52 t140.t63.t58))
% 11.55/11.73 (step t140.t63.t60 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t140.t63.a14 t140.t63.t44 t140.t63.a12 t140.t63.t45 t140.t63.t51 t140.t63.t59))
% 11.55/11.73 (step t140.t63.t61 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t140.t63.t60))
% 11.55/11.73 (step t140.t63.t62 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t140.t63.a3))
% 11.55/11.73 (step t140.t63.t63 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c1))) :rule trans :premises (t140.t63.t62 t140.t63.t52 t140.t63.a1))
% 11.55/11.73 (step t140.t63.t64 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t140.t63.t63))
% 11.55/11.73 (step t140.t63.t65 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule trans :premises (t140.t63.t61 t140.t63.t64))
% 11.55/11.73 (step t140.t63.t66 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t140.t63.t65))
% 11.55/11.73 (step t140.t63.t67 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule cong :premises (t140.t63.t43 t140.t63.t66))
% 11.55/11.73 (step t140.t63.t68 (cl (= (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv_simplify)
% 11.55/11.73 (step t140.t63.t69 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) :rule equiv2 :premises (t140.t63.t68))
% 11.55/11.73 (step t140.t63.t70 (cl (not (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule not_not)
% 11.55/11.73 (step t140.t63.t71 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t140.t63.t69 t140.t63.t70))
% 11.55/11.73 (step t140.t63.t72 (cl (= (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) false)) :rule resolution :premises (t140.t63.t71 t140.t63.a0))
% 11.55/11.73 (step t140.t63.t73 (cl (= (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) false)) :rule trans :premises (t140.t63.t67 t140.t63.t72))
% 11.55/11.73 (step t140.t63.t74 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t140.t63.t2 t140.t63.t73))
% 11.55/11.73 (step t140.t63 (cl (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t140.t63.a0 t140.t63.a1 t140.t63.a2 t140.t63.a3 t140.t63.a4 t140.t63.a5 t140.t63.a6 t140.t63.a7 t140.t63.a8 t140.t63.a9 t140.t63.a10 t140.t63.a11 t140.t63.a12 t140.t63.a13 t140.t63.a14 t140.t63.a15 t140.t63.a16 t140.t63.a17))
% 11.55/11.73 (step t140.t64 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.55/11.73 (step t140.t65 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t66 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t140.t67 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t140.t68 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t69 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t70 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.73 (step t140.t71 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t72 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t140.t73 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t74 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.73 (step t140.t75 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t140.t76 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.73 (step t140.t77 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t140.t78 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.73 (step t140.t79 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t140.t80 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t140.t81 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t140.t82 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t140.t63 t140.t64 t140.t65 t140.t66 t140.t67 t140.t68 t140.t69 t140.t70 t140.t71 t140.t72 t140.t73 t140.t74 t140.t75 t140.t76 t140.t77 t140.t78 t140.t79 t140.t80 t140.t81))
% 11.55/11.73 (step t140.t83 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule reordering :premises (t140.t82))
% 11.55/11.73 (step t140.t84 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t140.t83))
% 11.55/11.73 (step t140.t85 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t140.t62 t140.t84))
% 11.55/11.73 (step t140.t86 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.55/11.73 (step t140.t87 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t140.t85 t140.t86))
% 11.55/11.73 (step t140.t88 (cl (=> (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t140.t87))
% 11.55/11.73 (step t140.t89 (cl (not (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t140.t88))
% 11.55/11.73 (step t140.t90 (cl (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.55/11.73 (step t140.t91 (cl (and (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t140.t90 t140.a7 t140.a6 t140.a1 t140.a16 t140.a2 t140.a14 t140.a8 t140.a13 t140.a15 t140.a25 t140.a0 t140.a24 t140.a12 t140.a10 t140.a11 t140.a3 t140.a17 t140.a18))
% 11.55/11.73 (step t140.t92 (cl (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t140.t89 t140.t91))
% 11.55/11.73 (step t140.t93 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t140.t1 t140.a9 t140.t29 t140.a19 t140.a3 t140.t61 t140.a11 t140.a6 t140.a1 t140.a16 t140.t92))
% 11.55/11.73 (step t140 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule subproof :discharge (t140.a0 t140.a1 t140.a2 t140.a3 t140.a4 t140.a5 t140.a6 t140.a7 t140.a8 t140.a9 t140.a10 t140.a11 t140.a12 t140.a13 t140.a14 t140.a15 t140.a16 t140.a17 t140.a18 t140.a19 t140.a20 t140.a21 t140.a22 t140.a23 t140.a24 t140.a25 t140.a26 t140.a27))
% 11.55/11.73 (step t141 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.73 (step t142 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.73 (step t143 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t144 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t145 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t146 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t147 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t148 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule and_pos)
% 11.55/11.73 (step t149 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.73 (step t150 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 11.55/11.73 (step t151 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.73 (step t152 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.73 (step t153 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.73 (step t154 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t155 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t156 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.73 (step t157 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.73 (step t158 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t159 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.73 (step t160 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.55/11.73 (step t161 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t162 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t163 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.73 (step t164 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.73 (step t165 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t166 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.73 (step t167 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.73 (step t168 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.73 (step t169 (cl (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule resolution :premises (t140 t141 t142 t143 t144 t145 t146 t147 t148 t149 t150 t151 t152 t153 t154 t155 t156 t157 t158 t159 t160 t161 t162 t163 t164 t165 t166 t167 t168))
% 11.55/11.73 (step t170 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t169))
% 11.55/11.73 (step t171 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t170))
% 11.55/11.73 (step t172 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t139 t171))
% 11.55/11.73 (step t173 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (not (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule implies_neg2)
% 11.55/11.73 (step t174 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule resolution :premises (t172 t173))
% 11.55/11.73 (step t175 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (and (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))))) :rule contraction :premises (t174))
% 11.55/11.73 (step t176 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule resolution :premises (t107 t138 t175))
% 11.55/11.73 (step t177 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule not_and :premises (t176))
% 11.55/11.73 (step t178 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))))) :rule or_neg)
% 11.55/11.73 (step t179 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 11.55/11.73 (step t180 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule or_neg)
% 11.55/11.73 (step t181 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or_neg)
% 11.55/11.73 (step t182 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule or_neg)
% 11.55/11.73 (step t183 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule or_neg)
% 11.55/11.73 (step t184 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 11.55/11.73 (step t185 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))))) :rule or_neg)
% 11.55/11.73 (step t186 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.55/11.73 (step t187 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))))) :rule or_neg)
% 11.55/11.73 (step t188 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 11.55/11.73 (step t189 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))))) :rule or_neg)
% 11.55/11.73 (step t190 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule or_neg)
% 11.55/11.73 (step t191 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))))) :rule or_neg)
% 11.55/11.73 (step t192 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))))) :rule or_neg)
% 11.55/11.73 (step t193 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))))) :rule or_neg)
% 11.55/11.73 (step t194 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 11.55/11.73 (step t195 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule or_neg)
% 11.55/11.73 (step t196 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule or_neg)
% 11.55/11.73 (step t197 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))))) :rule or_neg)
% 11.55/11.73 (step t198 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))))) :rule or_neg)
% 11.55/11.73 (step t199 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))))) :rule or_neg)
% 11.55/11.73 (step t200 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))))) :rule or_neg)
% 11.55/11.73 (step t201 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))))) :rule or_neg)
% 11.55/11.73 (step t202 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))))) :rule or_neg)
% 11.55/11.73 (step t203 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule or_neg)
% 11.55/11.73 (step t204 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))))) :rule or_neg)
% 11.55/11.73 (step t205 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule or_neg)
% 11.55/11.73 (step t206 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule resolution :premises (t177 t178 t179 t180 t181 t182 t183 t184 t185 t186 t187 t188 t189 t190 t191 t192 t193 t194 t195 t196 t197 t198 t199 t200 t201 t202 t203 t204 t205))
% 11.55/11.73 (step t207 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule contraction :premises (t206))
% 11.55/11.73 (step t208 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))))) :rule resolution :premises (t68 t106 t207))
% 11.55/11.73 (step t209 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule or :premises (t208))
% 11.55/11.73 (step t210 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule reordering :premises (t209))
% 11.55/11.73 (step t211 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t212)
% 11.55/11.73 (assume t212.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.73 (step t212.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c10) (:= Z tptp.sk_c8)))
% 11.55/11.73 (step t212.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule or :premises (t212.t1))
% 11.55/11.73 (step t212.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule resolution :premises (t212.t2 t212.a0))
% 11.55/11.73 (step t212 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule subproof :discharge (t212.a0))
% 11.55/11.73 (step t213 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule resolution :premises (t211 t212))
% 11.55/11.73 (step t214 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule implies_neg2)
% 11.55/11.73 (step t215 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule resolution :premises (t213 t214))
% 11.55/11.73 (step t216 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))) :rule contraction :premises (t215))
% 11.55/11.73 (step t217 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule implies :premises (t216))
% 11.55/11.73 (step t218 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule resolution :premises (t217 a2))
% 11.55/11.73 (step t219 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t220)
% 11.55/11.73 (assume t220.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.73 (step t220.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c8)) (:= Y tptp.sk_c8) (:= Z tptp.sk_c5)))
% 11.55/11.73 (step t220.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule or :premises (t220.t1))
% 11.55/11.73 (step t220.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t220.t2 t220.a0))
% 11.55/11.73 (step t220 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule subproof :discharge (t220.a0))
% 11.55/11.73 (step t221 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t219 t220))
% 11.55/11.73 (step t222 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule implies_neg2)
% 11.55/11.73 (step t223 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule resolution :premises (t221 t222))
% 11.55/11.73 (step t224 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) :rule contraction :premises (t223))
% 11.55/11.73 (step t225 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule implies :premises (t224))
% 11.55/11.73 (step t226 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule resolution :premises (t225 a2))
% 11.55/11.73 (step t227 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t228)
% 11.55/11.73 (assume t228.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.73 (step t228.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c10)) (:= Y tptp.sk_c10) (:= Z tptp.sk_c10)))
% 11.55/11.73 (step t228.t2 (cl (not (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule or :premises (t228.t1))
% 11.55/11.73 (step t228.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t228.t2 t228.a0))
% 11.55/11.73 (step t228 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule subproof :discharge (t228.a0))
% 11.55/11.73 (step t229 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t227 t228))
% 11.55/11.73 (step t230 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg2)
% 11.55/11.73 (step t231 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule resolution :premises (t229 t230))
% 11.55/11.73 (step t232 (cl (=> (forall ((X $$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_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule contraction :premises (t231))
% 11.55/11.73 (step t233 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule implies :premises (t232))
% 11.55/11.73 (step t234 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule resolution :premises (t233 a2))
% 11.55/11.73 (step t235 (cl (=> (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t236)
% 11.55/11.73 (assume t236.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.73 (step t236.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c11) (:= Z tptp.sk_c10)))
% 11.55/11.73 (step t236.t2 (cl (not (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule or :premises (t236.t1))
% 11.55/11.73 (step t236.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t236.t2 t236.a0))
% 11.55/11.73 (step t236 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule subproof :discharge (t236.a0))
% 11.55/11.73 (step t237 (cl (=> (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t235 t236))
% 11.55/11.73 (step t238 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule implies_neg2)
% 11.55/11.73 (step t239 (cl (=> (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule resolution :premises (t237 t238))
% 11.55/11.73 (step t240 (cl (=> (forall ((X $$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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) :rule contraction :premises (t239))
% 11.55/11.73 (step t241 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule implies :premises (t240))
% 11.55/11.73 (step t242 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule resolution :premises (t241 a2))
% 11.55/11.73 (step t243 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t244)
% 11.55/11.73 (assume t244.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.73 (step t244.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.55/11.73 (step t244.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule or :premises (t244.t1))
% 11.55/11.73 (step t244.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t244.t2 t244.a0))
% 11.55/11.73 (step t244 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule subproof :discharge (t244.a0))
% 11.55/11.73 (step t245 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t243 t244))
% 11.55/11.73 (step t246 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule implies_neg2)
% 11.55/11.73 (step t247 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule resolution :premises (t245 t246))
% 11.55/11.73 (step t248 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))) :rule contraction :premises (t247))
% 11.55/11.73 (step t249 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule implies :premises (t248))
% 11.55/11.73 (step t250 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.55/11.73 (anchor :step t251 :args ((X $$unsorted) (:= X X)))
% 11.55/11.73 (step t251.t1 (cl (= X X)) :rule refl)
% 11.55/11.73 (step t251.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.55/11.73 (step t251 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) :rule bind)
% 11.55/11.73 (step t252 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t250 t251 a1))
% 11.55/11.73 (step t253 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule resolution :premises (t249 t252))
% 11.55/11.73 (step t254 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t255)
% 11.55/11.73 (assume t255.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.73 (step t255.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.55/11.73 (step t255.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule or :premises (t255.t1))
% 11.55/11.73 (step t255.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t255.t2 t255.a0))
% 11.55/11.73 (step t255 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule subproof :discharge (t255.a0))
% 11.55/11.73 (step t256 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t254 t255))
% 11.55/11.73 (step t257 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule implies_neg2)
% 11.55/11.73 (step t258 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule resolution :premises (t256 t257))
% 11.55/11.73 (step t259 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))) :rule contraction :premises (t258))
% 11.55/11.73 (step t260 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule implies :premises (t259))
% 11.55/11.73 (step t261 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule resolution :premises (t260 t252))
% 11.55/11.73 (step t262 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t263)
% 11.55/11.73 (assume t263.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.73 (step t263.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule forall_inst :args ((:= X tptp.sk_c8)))
% 11.55/11.73 (step t263.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule or :premises (t263.t1))
% 11.55/11.73 (step t263.t3 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t263.t2 t263.a0))
% 11.55/11.73 (step t263 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule subproof :discharge (t263.a0))
% 11.55/11.73 (step t264 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t262 t263))
% 11.55/11.73 (step t265 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule implies_neg2)
% 11.55/11.73 (step t266 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule resolution :premises (t264 t265))
% 11.55/11.73 (step t267 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) :rule contraction :premises (t266))
% 11.55/11.73 (step t268 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule implies :premises (t267))
% 11.55/11.73 (step t269 (cl (not (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (not (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.55/11.73 (anchor :step t270 :args ((X $$unsorted) (:= X X)))
% 11.55/11.73 (step t270.t1 (cl (= X X)) :rule refl)
% 11.55/11.73 (step t270.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.55/11.73 (step t270 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.55/11.73 (step t271 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t269 t270 a0))
% 11.55/11.73 (step t272 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule resolution :premises (t268 t271))
% 11.55/11.73 (step t273 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t274)
% 11.55/11.73 (assume t274.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.73 (step t274.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.55/11.73 (step t274.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t274.t1))
% 11.55/11.73 (step t274.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t274.t2 t274.a0))
% 11.55/11.73 (step t274 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t274.a0))
% 11.55/11.73 (step t275 (cl (=> (forall ((X $$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 (t273 t274))
% 11.55/11.73 (step t276 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 11.55/11.73 (step t277 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t275 t276))
% 11.55/11.73 (step t278 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t277))
% 11.55/11.73 (step t279 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t278))
% 11.55/11.73 (step t280 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t279 t271))
% 11.55/11.73 (step t281 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t282)
% 11.55/11.73 (assume t282.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.73 (step t282.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4))))
% 11.55/11.73 (step t282.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule or :premises (t282.t1))
% 11.55/11.73 (step t282.t3 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t282.t2 t282.a0))
% 11.55/11.73 (step t282 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t282.a0))
% 11.55/11.73 (step t283 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t281 t282))
% 11.55/11.73 (step t284 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.55/11.73 (step t285 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t283 t284))
% 11.55/11.73 (step t286 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t285))
% 11.55/11.73 (step t287 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t286))
% 11.55/11.73 (step t288 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t287 t271))
% 11.55/11.73 (step t289 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t290)
% 11.55/11.73 (assume t290.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.73 (step t290.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.55/11.73 (step t290.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t290.t1))
% 11.55/11.73 (step t290.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t290.t2 t290.a0))
% 11.55/11.73 (step t290 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t290.a0))
% 11.55/11.73 (step t291 (cl (=> (forall ((X $$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 (t289 t290))
% 11.55/11.73 (step t292 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 11.55/11.73 (step t293 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t291 t292))
% 11.55/11.73 (step t294 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t293))
% 11.55/11.73 (step t295 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t294))
% 11.55/11.73 (step t296 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t295 t252))
% 11.55/11.73 (step t297 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t298)
% 11.55/11.73 (assume t298.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.73 (step t298.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.55/11.73 (step t298.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t298.t1))
% 11.55/11.73 (step t298.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t298.t2 t298.a0))
% 11.55/11.73 (step t298 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t298.a0))
% 11.55/11.73 (step t299 (cl (=> (forall ((X $$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 (t297 t298))
% 11.55/11.73 (step t300 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 11.55/11.73 (step t301 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t299 t300))
% 11.55/11.73 (step t302 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t301))
% 11.55/11.73 (step t303 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t302))
% 11.55/11.73 (step t304 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t303 t271))
% 11.55/11.73 (step t305 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t306)
% 11.55/11.73 (assume t306.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.73 (step t306.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 11.55/11.73 (step t306.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule or :premises (t306.t1))
% 11.55/11.73 (step t306.t3 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t306.t2 t306.a0))
% 11.55/11.73 (step t306 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t306.a0))
% 11.55/11.73 (step t307 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t305 t306))
% 11.55/11.73 (step t308 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.55/11.73 (step t309 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t307 t308))
% 11.55/11.73 (step t310 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t309))
% 11.55/11.73 (step t311 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t310))
% 11.55/11.73 (step t312 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t311 t271))
% 11.55/11.73 (step t313 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.73 (anchor :step t314)
% 11.55/11.73 (assume t314.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.73 (step t314.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule forall_inst :args ((:= X tptp.sk_c10)))
% 11.55/11.73 (step t314.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule or :premises (t314.t1))
% 11.55/11.73 (step t314.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t314.t2 t314.a0))
% 11.55/11.73 (step t314 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule subproof :discharge (t314.a0))
% 11.55/11.73 (step t315 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t313 t314))
% 11.55/11.74 (step t316 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.74 (step t317 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule resolution :premises (t315 t316))
% 11.55/11.74 (step t318 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule contraction :premises (t317))
% 11.55/11.74 (step t319 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule implies :premises (t318))
% 11.55/11.74 (step t320 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule resolution :premises (t319 t252))
% 11.55/11.74 (step t321 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t322)
% 11.55/11.74 (assume t322.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.74 (step t322.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule forall_inst :args ((:= X tptp.sk_c10)))
% 11.55/11.74 (step t322.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule or :premises (t322.t1))
% 11.55/11.74 (step t322.t3 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t322.t2 t322.a0))
% 11.55/11.74 (step t322 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule subproof :discharge (t322.a0))
% 11.55/11.74 (step t323 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t321 t322))
% 11.55/11.74 (step t324 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.74 (step t325 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t323 t324))
% 11.55/11.74 (step t326 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))) :rule contraction :premises (t325))
% 11.55/11.74 (step t327 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule implies :premises (t326))
% 11.55/11.74 (step t328 (cl (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule resolution :premises (t327 t271))
% 11.55/11.74 (step t329 (cl (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t330)
% 11.55/11.74 (assume t330.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.74 (step t330.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.identity) (:= Z tptp.sk_c10)))
% 11.55/11.74 (step t330.t2 (cl (not (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule or :premises (t330.t1))
% 11.55/11.74 (step t330.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t330.t2 t330.a0))
% 11.55/11.74 (step t330 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule subproof :discharge (t330.a0))
% 11.55/11.74 (step t331 (cl (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t329 t330))
% 11.55/11.74 (step t332 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))) :rule implies_neg2)
% 11.55/11.74 (step t333 (cl (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t331 t332))
% 11.55/11.74 (step t334 (cl (=> (forall ((X $$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.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))) :rule contraction :premises (t333))
% 11.55/11.74 (step t335 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies :premises (t334))
% 11.55/11.74 (step t336 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t335 a2))
% 11.55/11.74 (step t337 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t338)
% 11.55/11.74 (assume t338.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.74 (step t338.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (step t338.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t338.t1))
% 11.55/11.74 (step t338.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t338.t2 t338.a0))
% 11.55/11.74 (step t338 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t338.a0))
% 11.55/11.74 (step t339 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t337 t338))
% 11.55/11.74 (step t340 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.55/11.74 (step t341 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t339 t340))
% 11.55/11.74 (step t342 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t341))
% 11.55/11.74 (step t343 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t342))
% 11.55/11.74 (step t344 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t343 a2))
% 11.55/11.74 (step t345 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t346)
% 11.55/11.74 (assume t346.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.74 (step t346.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (step t346.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule or :premises (t346.t1))
% 11.55/11.74 (step t346.t3 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t346.t2 t346.a0))
% 11.55/11.74 (step t346 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule subproof :discharge (t346.a0))
% 11.55/11.74 (step t347 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t345 t346))
% 11.55/11.74 (step t348 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule implies_neg2)
% 11.55/11.74 (step t349 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t347 t348))
% 11.55/11.74 (step t350 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule contraction :premises (t349))
% 11.55/11.74 (step t351 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule implies :premises (t350))
% 11.55/11.74 (step t352 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t351 t271))
% 11.55/11.74 (step t353 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t354)
% 11.55/11.74 (assume t354.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.74 (step t354.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.55/11.74 (step t354.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t354.t1))
% 11.55/11.74 (step t354.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t354.t2 t354.a0))
% 11.55/11.74 (step t354 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t354.a0))
% 11.55/11.74 (step t355 (cl (=> (forall ((X $$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 (t353 t354))
% 11.55/11.74 (step t356 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.55/11.74 (step t357 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t355 t356))
% 11.55/11.74 (step t358 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t357))
% 11.55/11.74 (step t359 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t358))
% 11.55/11.74 (step t360 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t359 t252))
% 11.55/11.74 (step t361 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t362)
% 11.55/11.74 (assume t362.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.74 (step t362.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.identity))))
% 11.55/11.74 (step t362.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule or :premises (t362.t1))
% 11.55/11.74 (step t362.t3 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t362.t2 t362.a0))
% 11.55/11.74 (step t362 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule subproof :discharge (t362.a0))
% 11.55/11.74 (step t363 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t361 t362))
% 11.55/11.74 (step t364 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.74 (step t365 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t363 t364))
% 11.55/11.74 (step t366 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))) :rule contraction :premises (t365))
% 11.55/11.74 (step t367 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule implies :premises (t366))
% 11.55/11.74 (step t368 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t367 t271))
% 11.55/11.74 (step t369 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t370)
% 11.55/11.74 (assume t370.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.74 (step t370.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.55/11.74 (step t370.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t370.t1))
% 11.55/11.74 (step t370.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t370.t2 t370.a0))
% 11.55/11.74 (step t370 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t370.a0))
% 11.55/11.74 (step t371 (cl (=> (forall ((X $$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 (t369 t370))
% 11.55/11.74 (step t372 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.55/11.74 (step t373 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t371 t372))
% 11.55/11.74 (step t374 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t373))
% 11.55/11.74 (step t375 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t374))
% 11.55/11.74 (step t376 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t375 t271))
% 11.55/11.74 (step t377 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.55/11.74 (step t378 (cl (= (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule all_simplify)
% 11.55/11.74 (step t379 (cl (= (= (tptp.inverse tptp.sk_c5) tptp.sk_c8) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule all_simplify)
% 11.55/11.74 (step t380 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t378 t379))
% 11.55/11.74 (step t381 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t377 t380 a28))
% 11.55/11.74 (step t382 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t381))
% 11.55/11.74 (step t383 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t382))
% 11.55/11.74 (step t384 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.55/11.74 (step t385 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule all_simplify)
% 11.55/11.74 (step t386 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t378 t385))
% 11.55/11.74 (step t387 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t384 t386 a27))
% 11.55/11.74 (step t388 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t387))
% 11.55/11.74 (step t389 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t388))
% 11.55/11.74 (step t390 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.55/11.74 (step t391 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.55/11.74 (step t392 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t378 t391))
% 11.55/11.74 (step t393 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t390 t392 a26))
% 11.55/11.74 (step t394 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t393))
% 11.55/11.74 (step t395 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t394))
% 11.55/11.74 (step t396 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.55/11.74 (step t397 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule all_simplify)
% 11.55/11.74 (step t398 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t378 t397))
% 11.55/11.74 (step t399 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t396 t398 a25))
% 11.55/11.74 (step t400 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t399))
% 11.55/11.74 (step t401 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t400))
% 11.55/11.74 (step t402 (cl (not (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.55/11.74 (step t403 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.55/11.74 (step t404 (cl (= (or (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t378 t403))
% 11.55/11.74 (step t405 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t402 t404 a24))
% 11.55/11.74 (step t406 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t405))
% 11.55/11.74 (step t407 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t406))
% 11.55/11.74 (step t408 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t210 t218 t226 t234 t242 t253 t261 t272 t280 t288 t296 t304 t312 t320 t328 t336 t344 t352 t360 t368 t376 t383 t389 t395 t401 t407))
% 11.55/11.74 (step t409 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t408))
% 11.55/11.74 (step t410 (cl (not (= (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))))) (not (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule equiv_pos2)
% 11.55/11.74 (step t411 (cl (= (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule refl)
% 11.55/11.74 (step t412 (cl (= (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule refl)
% 11.55/11.74 (step t413 (cl (= (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))))) :rule refl)
% 11.55/11.74 (step t414 (cl (= (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule all_simplify)
% 11.55/11.74 (step t415 (cl (= (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule cong :premises (t414))
% 11.55/11.74 (step t416 (cl (= (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule refl)
% 11.55/11.74 (step t417 (cl (= (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule cong :premises (t412 t413 t415 t416))
% 11.55/11.74 (step t418 (cl (= (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))))) :rule cong :premises (t411 t417))
% 11.55/11.74 (step t419 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t420)
% 11.55/11.74 (assume t420.a0 (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))
% 11.55/11.74 (step t420.t1 (cl (or (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule forall_inst :args ((:= X5 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (:= X7 tptp.identity)))
% 11.55/11.74 (step t420.t2 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule or :premises (t420.t1))
% 11.55/11.74 (step t420.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule resolution :premises (t420.t2 t420.a0))
% 11.55/11.74 (step t420 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule subproof :discharge (t420.a0))
% 11.55/11.74 (step t421 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule resolution :premises (t419 t420))
% 11.55/11.74 (step t422 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (not (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule implies_neg2)
% 11.55/11.74 (step t423 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule resolution :premises (t421 t422))
% 11.55/11.74 (step t424 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule contraction :premises (t423))
% 11.55/11.74 (step t425 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule resolution :premises (t410 t418 t424))
% 11.55/11.74 (step t426 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule implies :premises (t425))
% 11.55/11.74 (step t427 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t15))
% 11.55/11.74 (step t428 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule or_pos)
% 11.55/11.74 (step t429 (cl (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (or (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))))) :rule reordering :premises (t428))
% 11.55/11.74 (step t430 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule hole :args ((forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (= X4 X2)))
% 11.55/11.74 (step t431 (cl (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule equiv2 :premises (t430))
% 11.55/11.74 (step t432 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.74 (step t433 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t434)
% 11.55/11.74 (assume t434.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t434.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t434.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t434.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t434.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t434.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t434.a6 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t434.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t434.a8 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t434.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t434.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t434.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t434.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t434.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t434.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (step t434.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t434.t2)
% 11.55/11.74 (assume t434.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t434.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t434.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t434.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t434.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t434.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (assume t434.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t434.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t434.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t434.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t434.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t434.t2.a11 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t434.t2.a12 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t434.t2.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t434.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (step t434.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t434.t2.a14))
% 11.55/11.74 (step t434.t2.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t434.t2.t1))
% 11.55/11.74 (step t434.t2.t3 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t434.t2.a12))
% 11.55/11.74 (step t434.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t434.t2.a2))
% 11.55/11.74 (step t434.t2.t5 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t434.t2.t4))
% 11.55/11.74 (step t434.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t434.t2.t5))
% 11.55/11.74 (step t434.t2.t7 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.74 (step t434.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t434.t2.t6 t434.t2.t7))
% 11.55/11.74 (step t434.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t434.t2.t8))
% 11.55/11.74 (step t434.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t434.t2.a3))
% 11.55/11.74 (step t434.t2.t11 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t434.t2.t10))
% 11.55/11.74 (step t434.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t434.t2.a4))
% 11.55/11.74 (step t434.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t434.t2.t12 t434.t2.a1))
% 11.55/11.74 (step t434.t2.t14 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t434.t2.t13))
% 11.55/11.74 (step t434.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t434.t2.a5))
% 11.55/11.74 (step t434.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t434.t2.t15))
% 11.55/11.74 (step t434.t2.t17 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.74 (step t434.t2.t18 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.74 (step t434.t2.t19 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t434.t2.a8))
% 11.55/11.74 (step t434.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t434.t2.t18 t434.t2.t19))
% 11.55/11.74 (step t434.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t434.t2.t20))
% 11.55/11.74 (step t434.t2.t22 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t434.t2.a11))
% 11.55/11.74 (step t434.t2.t23 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t434.t2.t22))
% 11.55/11.74 (step t434.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t434.t2.a10))
% 11.55/11.74 (step t434.t2.t25 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t434.t2.t24))
% 11.55/11.74 (step t434.t2.t26 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.74 (step t434.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t434.t2.t25 t434.t2.t26))
% 11.55/11.74 (step t434.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t434.t2.a9))
% 11.55/11.74 (step t434.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t434.t2.t28))
% 11.55/11.74 (step t434.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t434.t2.a6))
% 11.55/11.74 (step t434.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t434.t2.t20 t434.t2.t30))
% 11.55/11.74 (step t434.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t434.t2.t26 t434.t2.t31))
% 11.55/11.74 (step t434.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t434.t2.t19 t434.t2.t7))
% 11.55/11.74 (step t434.t2.t34 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t434.t2.t23 t434.t2.t27 t434.t2.t29 t434.t2.t32 t434.t2.t33))
% 11.55/11.74 (step t434.t2.t35 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t434.t2.t18 t434.t2.t34))
% 11.55/11.74 (step t434.t2.t36 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t434.t2.a7))
% 11.55/11.74 (step t434.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t434.t2.t36))
% 11.55/11.74 (step t434.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t434.t2.t37))
% 11.55/11.74 (step t434.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t434.t2.t30 t434.t2.t7))
% 11.55/11.74 (step t434.t2.t40 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t434.t2.a6 t434.t2.t21 t434.t2.t35 t434.t2.t38 t434.t2.t39))
% 11.55/11.74 (step t434.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t434.t2.t17 t434.t2.t40))
% 11.55/11.74 (step t434.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t434.t2.t41))
% 11.55/11.74 (step t434.t2.t43 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t434.t2.t3 t434.t2.a1 t434.t2.t9 t434.t2.t11 t434.t2.t14 t434.t2.t16 t434.t2.t42 t434.t2.t12))
% 11.55/11.74 (step t434.t2.t44 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.74 (step t434.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t434.t2.t43 t434.t2.t44))
% 11.55/11.74 (step t434.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t434.t2.a13))
% 11.55/11.74 (step t434.t2.t47 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t434.t2.t2 t434.t2.t45 t434.t2.t46))
% 11.55/11.74 (step t434.t2.t48 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t434.t2.t47))
% 11.55/11.74 (step t434.t2.t49 (cl (= (tptp.inverse tptp.identity) tptp.identity)) :rule trans :premises (t434.t2.t48 t434.t2.t3 t434.t2.a1 t434.t2.t9 t434.t2.t11 t434.t2.t14 t434.t2.t16 t434.t2.t42 t434.t2.t12))
% 11.55/11.74 (step t434.t2.t50 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule cong :premises (t434.t2.t49))
% 11.55/11.74 (step t434.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t434.t2.t16))
% 11.55/11.74 (step t434.t2.t52 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t434.t2.t11))
% 11.55/11.74 (step t434.t2.t53 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t434.t2.a1))
% 11.55/11.74 (step t434.t2.t54 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t434.t2.a0))
% 11.55/11.74 (step t434.t2.t55 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t434.t2.t54))
% 11.55/11.74 (step t434.t2.t56 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t434.t2.a4 t434.t2.t41 t434.t2.t51 t434.t2.t13 t434.t2.t52 t434.t2.t8 t434.t2.t53 t434.t2.t55))
% 11.55/11.74 (step t434.t2.t57 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t434.t2.t56))
% 11.55/11.74 (step t434.t2.t58 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule trans :premises (t434.t2.t50 t434.t2.t57))
% 11.55/11.74 (step t434.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t434.t2.a0 t434.t2.a1 t434.t2.a2 t434.t2.a3 t434.t2.a4 t434.t2.a5 t434.t2.a6 t434.t2.a7 t434.t2.a8 t434.t2.a9 t434.t2.a10 t434.t2.a11 t434.t2.a12 t434.t2.a13 t434.t2.a14))
% 11.55/11.74 (step t434.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t434.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t434.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t434.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t434.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t434.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t434.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t434.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t434.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t434.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t434.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t434.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t434.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t434.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t434.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t434.t18 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t434.t2 t434.t3 t434.t4 t434.t5 t434.t6 t434.t7 t434.t8 t434.t9 t434.t10 t434.t11 t434.t12 t434.t13 t434.t14 t434.t15 t434.t16 t434.t17))
% 11.55/11.74 (step t434.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule reordering :premises (t434.t18))
% 11.55/11.74 (step t434.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule contraction :premises (t434.t19))
% 11.55/11.74 (step t434.t21 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t434.t1 t434.t20))
% 11.55/11.74 (step t434.t22 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.74 (step t434.t23 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t434.t21 t434.t22))
% 11.55/11.74 (step t434.t24 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t434.t23))
% 11.55/11.74 (step t434.t25 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t434.t24))
% 11.55/11.74 (step t434.t26 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.55/11.74 (step t434.t27 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t434.t26 t434.a1 t434.a9 t434.a4 t434.a8 t434.a10 t434.a14 t434.a0 t434.a13 t434.a3 t434.a7 t434.a5 t434.a6 t434.a2 t434.a11 t434.a12))
% 11.55/11.74 (step t434.t28 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t434.t25 t434.t27))
% 11.55/11.74 (step t434 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t434.a0 t434.a1 t434.a2 t434.a3 t434.a4 t434.a5 t434.a6 t434.a7 t434.a8 t434.a9 t434.a10 t434.a11 t434.a12 t434.a13 t434.a14))
% 11.55/11.74 (step t435 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t436 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t437 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t438 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t439 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t440 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t441 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t442 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t443 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t444 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t445 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t446 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t447 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t448 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t449 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t450 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t434 t435 t436 t437 t438 t439 t440 t441 t442 t443 t444 t445 t446 t447 t448 t449))
% 11.55/11.74 (step t451 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule reordering :premises (t450))
% 11.55/11.74 (step t452 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule contraction :premises (t451))
% 11.55/11.74 (step t453 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t433 t452))
% 11.55/11.74 (step t454 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.74 (step t455 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t453 t454))
% 11.55/11.74 (step t456 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t455))
% 11.55/11.74 (step t457 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t456))
% 11.55/11.74 (step t458 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t432 t457))
% 11.55/11.74 (step t459 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t458))
% 11.55/11.74 (step t460 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.74 (step t461 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t462)
% 11.55/11.74 (assume t462.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t462.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t462.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t462.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t462.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t462.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t462.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t462.a7 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t462.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t462.a9 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t462.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t462.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t462.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t462.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t462.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t462.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t462.a16 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.74 (assume t462.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t462.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (step t462.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t462.t2)
% 11.55/11.74 (assume t462.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (assume t462.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t462.t2.a2 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.74 (assume t462.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t462.t2.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t462.t2.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t462.t2.a6 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t462.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t462.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t462.t2.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t462.t2.a10 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t462.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t462.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t462.t2.a13 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t462.t2.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t462.t2.a15 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t462.t2.a16 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t462.t2.a17 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t462.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (step t462.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t462.t2.a10))
% 11.55/11.74 (step t462.t2.t2 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t462.t2.t1))
% 11.55/11.74 (step t462.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t462.t2.a8))
% 11.55/11.74 (step t462.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t462.t2.t3))
% 11.55/11.74 (step t462.t2.t5 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.74 (step t462.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t462.t2.t4 t462.t2.t5))
% 11.55/11.74 (step t462.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t462.t2.a18))
% 11.55/11.74 (step t462.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t462.t2.t7))
% 11.55/11.74 (step t462.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.74 (step t462.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t462.t2.a16))
% 11.55/11.74 (step t462.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t462.t2.t9 t462.t2.t10))
% 11.55/11.74 (step t462.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t462.t2.a4))
% 11.55/11.74 (step t462.t2.t13 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t462.t2.t11 t462.t2.t12))
% 11.55/11.74 (step t462.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t462.t2.t5 t462.t2.t13))
% 11.55/11.74 (step t462.t2.t15 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.74 (step t462.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t462.t2.t10 t462.t2.t15))
% 11.55/11.74 (step t462.t2.t17 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.74 (step t462.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t462.t2.t11))
% 11.55/11.74 (step t462.t2.t19 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t462.t2.t2 t462.t2.t6 t462.t2.t8 t462.t2.t14 t462.t2.t16))
% 11.55/11.74 (step t462.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t462.t2.t9 t462.t2.t19))
% 11.55/11.74 (step t462.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t462.t2.a1))
% 11.55/11.74 (step t462.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t462.t2.t21))
% 11.55/11.74 (step t462.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t462.t2.t22))
% 11.55/11.74 (step t462.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t462.t2.t12 t462.t2.t15))
% 11.55/11.74 (step t462.t2.t25 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t462.t2.a4 t462.t2.t18 t462.t2.t20 t462.t2.t23 t462.t2.t24))
% 11.55/11.74 (step t462.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t462.t2.t17 t462.t2.t25))
% 11.55/11.74 (step t462.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t462.t2.a0))
% 11.55/11.74 (step t462.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t462.t2.t27))
% 11.55/11.74 (step t462.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t462.t2.t28))
% 11.55/11.74 (step t462.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t462.t2.a3))
% 11.55/11.74 (step t462.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t462.t2.t30 t462.t2.a12))
% 11.55/11.74 (step t462.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t462.t2.a14))
% 11.55/11.74 (step t462.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t462.t2.t32))
% 11.55/11.74 (step t462.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t462.t2.t33))
% 11.55/11.74 (step t462.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t462.t2.a17))
% 11.55/11.74 (step t462.t2.t36 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t462.t2.t35))
% 11.55/11.74 (step t462.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t462.t2.t36))
% 11.55/11.74 (step t462.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t462.t2.t37 t462.t2.t15))
% 11.55/11.74 (step t462.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t462.t2.a12))
% 11.55/11.74 (step t462.t2.t40 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t462.t2.a3 t462.t2.t26 t462.t2.t29 t462.t2.t31 t462.t2.t34 t462.t2.t38 t462.t2.t39))
% 11.55/11.74 (step t462.t2.t41 (cl (= tptp.sk_c10 tptp.identity)) :rule symm :premises (t462.t2.t40))
% 11.55/11.74 (step t462.t2.t42 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t462.t2.a9 t462.t2.t41))
% 11.55/11.74 (step t462.t2.t43 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t462.t2.a9))
% 11.55/11.74 (step t462.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t462.t2.a6))
% 11.55/11.74 (step t462.t2.t45 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t462.t2.t44))
% 11.55/11.74 (step t462.t2.t46 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t462.t2.a15))
% 11.55/11.74 (step t462.t2.t47 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t462.t2.t46))
% 11.55/11.74 (step t462.t2.t48 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t462.t2.a3 t462.t2.t26 t462.t2.t29 t462.t2.t31 t462.t2.t34 t462.t2.t38 t462.t2.t39 t462.t2.t47))
% 11.55/11.74 (step t462.t2.t49 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.74 (step t462.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t462.t2.t48 t462.t2.t49))
% 11.55/11.74 (step t462.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t462.t2.a11))
% 11.55/11.74 (step t462.t2.t52 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t462.t2.t51))
% 11.55/11.74 (step t462.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t462.t2.t52))
% 11.55/11.74 (step t462.t2.t54 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t462.t2.t45 t462.t2.t50 t462.t2.t53))
% 11.55/11.74 (step t462.t2.t55 (cl (= tptp.identity tptp.sk_c4)) :rule symm :premises (t462.t2.t54))
% 11.55/11.74 (step t462.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t462.t2.t55 t462.t2.t48))
% 11.55/11.74 (step t462.t2.t57 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule symm :premises (t462.t2.t48))
% 11.55/11.74 (step t462.t2.t58 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t462.t2.t49 t462.t2.t57))
% 11.55/11.74 (step t462.t2.t59 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t462.t2.t49 t462.t2.t40))
% 11.55/11.74 (step t462.t2.t60 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t462.t2.a13))
% 11.55/11.74 (step t462.t2.t61 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t462.t2.t36 t462.t2.t56 t462.t2.t58 t462.t2.t59 t462.t2.t60))
% 11.55/11.74 (step t462.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t462.t2.t43 t462.t2.t61))
% 11.55/11.74 (step t462.t2.t63 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t462.t2.a5))
% 11.55/11.74 (step t462.t2.t64 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t462.t2.t54))
% 11.55/11.74 (step t462.t2.t65 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t462.t2.a7))
% 11.55/11.74 (step t462.t2.t66 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t462.t2.t65))
% 11.55/11.74 (step t462.t2.t67 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t462.t2.a3 t462.t2.t26 t462.t2.t29 t462.t2.t31 t462.t2.t34 t462.t2.t38 t462.t2.t39 t462.t2.t66))
% 11.55/11.74 (step t462.t2.t68 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t462.t2.t67))
% 11.55/11.74 (step t462.t2.t69 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t462.t2.a2))
% 11.55/11.74 (step t462.t2.t70 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t462.t2.t69))
% 11.55/11.74 (step t462.t2.t71 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule refl)
% 11.55/11.74 (step t462.t2.t72 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t462.t2.t67 t462.t2.t71))
% 11.55/11.74 (step t462.t2.t73 (cl (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule trans :premises (t462.t2.a16 t462.t2.t2 t462.t2.t6 t462.t2.t8 t462.t2.t14 t462.t2.t16 t462.t2.t42 t462.t2.t62 t462.t2.t63 t462.t2.t47 t462.t2.t64 t462.t2.t68 t462.t2.t70 t462.t2.t72))
% 11.55/11.74 (step t462.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t462.t2.a0 t462.t2.a1 t462.t2.a2 t462.t2.a3 t462.t2.a4 t462.t2.a5 t462.t2.a6 t462.t2.a7 t462.t2.a8 t462.t2.a9 t462.t2.a10 t462.t2.a11 t462.t2.a12 t462.t2.a13 t462.t2.a14 t462.t2.a15 t462.t2.a16 t462.t2.a17 t462.t2.a18))
% 11.55/11.74 (step t462.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t462.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t462.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.74 (step t462.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t462.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t462.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t462.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t462.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t462.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t462.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t462.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t462.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t462.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t462.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t462.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t462.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t462.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t462.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t462.t21 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t462.t22 (cl (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t462.t2 t462.t3 t462.t4 t462.t5 t462.t6 t462.t7 t462.t8 t462.t9 t462.t10 t462.t11 t462.t12 t462.t13 t462.t14 t462.t15 t462.t16 t462.t17 t462.t18 t462.t19 t462.t20 t462.t21))
% 11.55/11.74 (step t462.t23 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t462.t22))
% 11.55/11.74 (step t462.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t462.t23))
% 11.55/11.74 (step t462.t25 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t462.t1 t462.t24))
% 11.55/11.74 (step t462.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.74 (step t462.t27 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t462.t25 t462.t26))
% 11.55/11.74 (step t462.t28 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t462.t27))
% 11.55/11.74 (step t462.t29 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t462.t28))
% 11.55/11.74 (step t462.t30 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule and_neg)
% 11.55/11.74 (step t462.t31 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t462.t30 t462.a18 t462.a17 t462.a16 t462.a13 t462.a0 t462.a6 t462.a14 t462.a1 t462.a8 t462.a2 t462.a9 t462.a15 t462.a12 t462.a3 t462.a11 t462.a4 t462.a5 t462.a7 t462.a10))
% 11.55/11.74 (step t462.t32 (cl (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t462.t29 t462.t31))
% 11.55/11.74 (step t462 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t462.a0 t462.a1 t462.a2 t462.a3 t462.a4 t462.a5 t462.a6 t462.a7 t462.a8 t462.a9 t462.a10 t462.a11 t462.a12 t462.a13 t462.a14 t462.a15 t462.a16 t462.a17 t462.a18))
% 11.55/11.74 (step t463 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t464 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t465 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t466 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t467 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t468 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t469 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t470 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t471 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t472 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t473 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t474 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t475 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t476 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t477 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t478 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t479 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.74 (step t480 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t481 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t482 (cl (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t462 t463 t464 t465 t466 t467 t468 t469 t470 t471 t472 t473 t474 t475 t476 t477 t478 t479 t480 t481))
% 11.55/11.74 (step t483 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t482))
% 11.55/11.74 (step t484 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t483))
% 11.55/11.74 (step t485 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t461 t484))
% 11.55/11.74 (step t486 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.74 (step t487 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t485 t486))
% 11.55/11.74 (step t488 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t487))
% 11.55/11.74 (step t489 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t488))
% 11.55/11.74 (step t490 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t460 t489))
% 11.55/11.74 (step t491 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t490))
% 11.55/11.74 (step t492 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t493)
% 11.55/11.74 (assume t493.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.74 (step t493.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.74 (step t493.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule or :premises (t493.t1))
% 11.55/11.74 (step t493.t3 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t493.t2 t493.a0))
% 11.55/11.74 (step t493 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t493.a0))
% 11.55/11.74 (step t494 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t492 t493))
% 11.55/11.74 (step t495 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.74 (step t496 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t494 t495))
% 11.55/11.74 (step t497 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t496))
% 11.55/11.74 (step t498 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t497))
% 11.55/11.74 (step t499 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t498 t271))
% 11.55/11.74 (step t500 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.74 (step t501 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t502)
% 11.55/11.74 (assume t502.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t502.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t502.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t502.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t502.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t502.a5 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t502.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t502.a7 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t502.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t502.a9 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t502.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t502.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t502.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t502.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t502.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t502.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t502.a16 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.74 (assume t502.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t502.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (step t502.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t502.t2)
% 11.55/11.74 (assume t502.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (assume t502.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t502.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.74 (assume t502.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t502.t2.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t502.t2.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t502.t2.a6 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t502.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.74 (assume t502.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t502.t2.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t502.t2.a10 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t502.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t502.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t502.t2.a13 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t502.t2.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t502.t2.a15 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t502.t2.a16 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t502.t2.a17 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t502.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (step t502.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t502.t2.a8))
% 11.55/11.74 (step t502.t2.t2 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.74 (step t502.t2.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t502.t2.t1 t502.t2.t2))
% 11.55/11.74 (step t502.t2.t4 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t502.t2.t3))
% 11.55/11.74 (step t502.t2.t5 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.74 (step t502.t2.t6 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t502.t2.a16))
% 11.55/11.74 (step t502.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t502.t2.t5 t502.t2.t6))
% 11.55/11.74 (step t502.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t502.t2.t7))
% 11.55/11.74 (step t502.t2.t9 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t502.t2.a4 t502.t2.t8))
% 11.55/11.74 (step t502.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule cong :premises (t502.t2.t2 t502.t2.t9))
% 11.55/11.74 (step t502.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t502.t2.t10))
% 11.55/11.74 (step t502.t2.t12 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.74 (step t502.t2.t13 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t502.t2.a16 t502.t2.t12))
% 11.55/11.74 (step t502.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t502.t2.t13))
% 11.55/11.74 (step t502.t2.t15 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.74 (step t502.t2.t16 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule cong :premises (t502.t2.a4 t502.t2.t12))
% 11.55/11.74 (step t502.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t502.t2.a1))
% 11.55/11.74 (step t502.t2.t18 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t502.t2.t17))
% 11.55/11.74 (step t502.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t502.t2.a18))
% 11.55/11.74 (step t502.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t502.t2.a10))
% 11.55/11.74 (step t502.t2.t21 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.inverse tptp.sk_c1))) :rule trans :premises (t502.t2.t13 t502.t2.t10 t502.t2.t19 t502.t2.t3 t502.t2.t20))
% 11.55/11.74 (step t502.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t502.t2.t5 t502.t2.t21))
% 11.55/11.74 (step t502.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t502.t2.a4))
% 11.55/11.74 (step t502.t2.t24 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c10) tptp.sk_c10)) :rule trans :premises (t502.t2.t16 t502.t2.t18 t502.t2.t22 t502.t2.t7 t502.t2.t23))
% 11.55/11.74 (step t502.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t502.t2.t15 t502.t2.t24))
% 11.55/11.74 (step t502.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t502.t2.t25))
% 11.55/11.74 (step t502.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t502.t2.a0))
% 11.55/11.74 (step t502.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t502.t2.a12))
% 11.55/11.74 (step t502.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule cong :premises (t502.t2.a3 t502.t2.t28))
% 11.55/11.74 (step t502.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t502.t2.t29))
% 11.55/11.74 (step t502.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t502.t2.a14))
% 11.55/11.74 (step t502.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t502.t2.a17))
% 11.55/11.74 (step t502.t2.t33 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t502.t2.t32))
% 11.55/11.74 (step t502.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t502.t2.t33 t502.t2.t12))
% 11.55/11.74 (step t502.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule symm :premises (t502.t2.t34))
% 11.55/11.74 (step t502.t2.t36 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t502.t2.a3 t502.t2.t26 t502.t2.t27 t502.t2.t30 t502.t2.t31 t502.t2.t35 t502.t2.t28))
% 11.55/11.74 (step t502.t2.t37 (cl (= tptp.sk_c10 tptp.identity)) :rule symm :premises (t502.t2.t36))
% 11.55/11.74 (step t502.t2.t38 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t502.t2.a9 t502.t2.t37))
% 11.55/11.74 (step t502.t2.t39 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t502.t2.a9))
% 11.55/11.74 (step t502.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t502.t2.a11))
% 11.55/11.74 (step t502.t2.t41 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t502.t2.t40))
% 11.55/11.74 (step t502.t2.t42 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t502.t2.a15))
% 11.55/11.74 (step t502.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t502.t2.t31))
% 11.55/11.74 (step t502.t2.t44 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t502.t2.t27))
% 11.55/11.74 (step t502.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t502.t2.a3))
% 11.55/11.74 (step t502.t2.t46 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t502.t2.t42 t502.t2.a12 t502.t2.t34 t502.t2.t43 t502.t2.t29 t502.t2.t44 t502.t2.t25 t502.t2.t45))
% 11.55/11.74 (step t502.t2.t47 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.74 (step t502.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t502.t2.t46 t502.t2.t47))
% 11.55/11.74 (step t502.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t502.t2.a6))
% 11.55/11.74 (step t502.t2.t50 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t502.t2.t41 t502.t2.t48 t502.t2.t49))
% 11.55/11.74 (step t502.t2.t51 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule symm :premises (t502.t2.t46))
% 11.55/11.74 (step t502.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t502.t2.t50 t502.t2.t51))
% 11.55/11.74 (step t502.t2.t53 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t502.t2.t47 t502.t2.t46))
% 11.55/11.74 (step t502.t2.t54 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t502.t2.t47 t502.t2.t36))
% 11.55/11.74 (step t502.t2.t55 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t502.t2.a13))
% 11.55/11.74 (step t502.t2.t56 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t502.t2.t33 t502.t2.t52 t502.t2.t53 t502.t2.t54 t502.t2.t55))
% 11.55/11.74 (step t502.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t502.t2.t39 t502.t2.t56))
% 11.55/11.74 (step t502.t2.t58 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t502.t2.a5))
% 11.55/11.74 (step t502.t2.t59 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.identity)) :rule symm :premises (t502.t2.a2))
% 11.55/11.74 (step t502.t2.t60 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t502.t2.t59))
% 11.55/11.74 (step t502.t2.t61 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule refl)
% 11.55/11.74 (step t502.t2.t62 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t502.t2.a7))
% 11.55/11.74 (step t502.t2.t63 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule cong :premises (t502.t2.t61 t502.t2.t62))
% 11.55/11.74 (step t502.t2.t64 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule trans :premises (t502.t2.a16 t502.t2.a10 t502.t2.t4 t502.t2.a18 t502.t2.t11 t502.t2.t14 t502.t2.t38 t502.t2.t57 t502.t2.t58 t502.t2.a12 t502.t2.t34 t502.t2.t43 t502.t2.t29 t502.t2.t44 t502.t2.t25 t502.t2.t45 t502.t2.t60 t502.t2.t63))
% 11.55/11.74 (step t502.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule subproof :discharge (t502.t2.a0 t502.t2.a1 t502.t2.a2 t502.t2.a3 t502.t2.a4 t502.t2.a5 t502.t2.a6 t502.t2.a7 t502.t2.a8 t502.t2.a9 t502.t2.a10 t502.t2.a11 t502.t2.a12 t502.t2.a13 t502.t2.a14 t502.t2.a15 t502.t2.a16 t502.t2.a17 t502.t2.a18))
% 11.55/11.74 (step t502.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t502.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t502.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.74 (step t502.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t502.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t502.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t502.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t502.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t502.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t502.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t502.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t502.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t502.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t502.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t502.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t502.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t502.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t502.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t502.t21 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t502.t22 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t502.t2 t502.t3 t502.t4 t502.t5 t502.t6 t502.t7 t502.t8 t502.t9 t502.t10 t502.t11 t502.t12 t502.t13 t502.t14 t502.t15 t502.t16 t502.t17 t502.t18 t502.t19 t502.t20 t502.t21))
% 11.55/11.74 (step t502.t23 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule reordering :premises (t502.t22))
% 11.55/11.74 (step t502.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule contraction :premises (t502.t23))
% 11.55/11.74 (step t502.t25 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule resolution :premises (t502.t1 t502.t24))
% 11.55/11.74 (step t502.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.74 (step t502.t27 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule resolution :premises (t502.t25 t502.t26))
% 11.55/11.74 (step t502.t28 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule contraction :premises (t502.t27))
% 11.55/11.74 (step t502.t29 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule implies :premises (t502.t28))
% 11.55/11.74 (step t502.t30 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule and_neg)
% 11.55/11.74 (step t502.t31 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t502.t30 t502.a18 t502.a17 t502.a16 t502.a13 t502.a0 t502.a6 t502.a14 t502.a1 t502.a8 t502.a2 t502.a9 t502.a15 t502.a12 t502.a3 t502.a11 t502.a4 t502.a5 t502.a7 t502.a10))
% 11.55/11.74 (step t502.t32 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule resolution :premises (t502.t29 t502.t31))
% 11.55/11.74 (step t502 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule subproof :discharge (t502.a0 t502.a1 t502.a2 t502.a3 t502.a4 t502.a5 t502.a6 t502.a7 t502.a8 t502.a9 t502.a10 t502.a11 t502.a12 t502.a13 t502.a14 t502.a15 t502.a16 t502.a17 t502.a18))
% 11.55/11.74 (step t503 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t504 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t505 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t506 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t507 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t508 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t509 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t510 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t511 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t512 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t513 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t514 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t515 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t516 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t517 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t518 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t519 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.74 (step t520 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t521 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t522 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t502 t503 t504 t505 t506 t507 t508 t509 t510 t511 t512 t513 t514 t515 t516 t517 t518 t519 t520 t521))
% 11.55/11.74 (step t523 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule reordering :premises (t522))
% 11.55/11.74 (step t524 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule contraction :premises (t523))
% 11.55/11.74 (step t525 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule resolution :premises (t501 t524))
% 11.55/11.74 (step t526 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.74 (step t527 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule resolution :premises (t525 t526))
% 11.55/11.74 (step t528 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)))) :rule contraction :premises (t527))
% 11.55/11.74 (step t529 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule implies :premises (t528))
% 11.55/11.74 (step t530 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10))) :rule resolution :premises (t500 t529))
% 11.55/11.74 (step t531 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.sk_c10)) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t530))
% 11.55/11.74 (step t532 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t533)
% 11.55/11.74 (assume t533.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.74 (step t533.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.74 (step t533.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule or :premises (t533.t1))
% 11.55/11.74 (step t533.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t533.t2 t533.a0))
% 11.55/11.74 (step t533 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t533.a0))
% 11.55/11.74 (step t534 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t532 t533))
% 11.55/11.74 (step t535 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.74 (step t536 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t534 t535))
% 11.55/11.74 (step t537 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t536))
% 11.55/11.74 (step t538 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t537))
% 11.55/11.74 (step t539 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t538 t252))
% 11.55/11.74 (step t540 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t426 t427 t429 t431 t459 t234 t242 t296 t304 t320 t328 t336 t344 t352 t360 t376 t491 t234 t242 t499 t296 t304 t320 t328 t336 t344 t352 t360 t376 t531 t234 t242 t539 t296 t304 t320 t328 t336 t344 t352 t360 t376))
% 11.55/11.74 (step t541 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule contraction :premises (t540))
% 11.55/11.74 (step t542 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t543)
% 11.55/11.74 (assume t543.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))
% 11.55/11.74 (step t543.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 11.55/11.74 (step t543.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t543.t1))
% 11.55/11.74 (step t543.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t543.t2 t543.a0))
% 11.55/11.74 (step t543 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t543.a0))
% 11.55/11.74 (step t544 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t542 t543))
% 11.55/11.74 (step t545 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.55/11.74 (step t546 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t544 t545))
% 11.55/11.74 (step t547 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t546))
% 11.55/11.74 (step t548 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t547))
% 11.55/11.74 (step t549 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.55/11.74 (step t550 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t549))
% 11.55/11.74 (step t551 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.74 (step t552 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t553)
% 11.55/11.74 (assume t553.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t553.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t553.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t553.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t553.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t553.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t553.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t553.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t553.a8 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t553.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t553.a10 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t553.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t553.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t553.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t553.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t553.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t553.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (step t553.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t553.t2)
% 11.55/11.74 (assume t553.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (assume t553.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t553.t2.a2 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t553.t2.a3 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t553.t2.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t553.t2.a5 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t553.t2.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t553.t2.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t553.t2.a8 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t553.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t553.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t553.t2.a11 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t553.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t553.t2.a13 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t553.t2.a14 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t553.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t553.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (step t553.t2.t1 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t553.t2.a4))
% 11.55/11.74 (step t553.t2.t2 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t553.t2.t1))
% 11.55/11.74 (step t553.t2.t3 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t553.t2.a5))
% 11.55/11.74 (step t553.t2.t4 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t553.t2.t3))
% 11.55/11.74 (step t553.t2.t5 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.74 (step t553.t2.t6 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.74 (step t553.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t553.t2.a3))
% 11.55/11.74 (step t553.t2.t8 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t553.t2.t7))
% 11.55/11.74 (step t553.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.74 (step t553.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t553.t2.a6))
% 11.55/11.74 (step t553.t2.t11 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t553.t2.t10))
% 11.55/11.74 (step t553.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t553.t2.t9 t553.t2.t11))
% 11.55/11.74 (step t553.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t553.t2.a12))
% 11.55/11.74 (step t553.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.74 (step t553.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t553.t2.t13 t553.t2.t14))
% 11.55/11.74 (step t553.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t553.t2.t15))
% 11.55/11.74 (step t553.t2.t17 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule trans :premises (t553.t2.t8 t553.t2.t12))
% 11.55/11.74 (step t553.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule cong :premises (t553.t2.t14 t553.t2.t17))
% 11.55/11.74 (step t553.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule symm :premises (t553.t2.t18))
% 11.55/11.74 (step t553.t2.t20 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.74 (step t553.t2.t21 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t553.t2.t11 t553.t2.t20))
% 11.55/11.74 (step t553.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule symm :premises (t553.t2.t21))
% 11.55/11.74 (step t553.t2.t23 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t553.t2.a8 t553.t2.t16 t553.t2.a15 t553.t2.t19 t553.t2.t22))
% 11.55/11.74 (step t553.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t553.t2.t9 t553.t2.t23))
% 11.55/11.74 (step t553.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t553.t2.a1))
% 11.55/11.74 (step t553.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t553.t2.t7 t553.t2.t20))
% 11.55/11.74 (step t553.t2.t27 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t553.t2.t8 t553.t2.t12 t553.t2.t24 t553.t2.t25 t553.t2.t26))
% 11.55/11.74 (step t553.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t553.t2.t6 t553.t2.t27))
% 11.55/11.74 (step t553.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t553.t2.a0))
% 11.55/11.74 (step t553.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t553.t2.a16))
% 11.55/11.74 (step t553.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t553.t2.t30 t553.t2.a10))
% 11.55/11.74 (step t553.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t553.t2.a14))
% 11.55/11.74 (step t553.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t553.t2.a11))
% 11.55/11.74 (step t553.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t553.t2.t33 t553.t2.t20))
% 11.55/11.74 (step t553.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t553.t2.a10))
% 11.55/11.74 (step t553.t2.t36 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t553.t2.a16 t553.t2.t28 t553.t2.t29 t553.t2.t31 t553.t2.t32 t553.t2.t34 t553.t2.t35))
% 11.55/11.74 (step t553.t2.t37 (cl (= tptp.sk_c10 tptp.identity)) :rule symm :premises (t553.t2.t36))
% 11.55/11.74 (step t553.t2.t38 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t553.t2.t5 t553.t2.t37))
% 11.55/11.74 (step t553.t2.t39 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t553.t2.a13))
% 11.55/11.74 (step t553.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t553.t2.t34))
% 11.55/11.74 (step t553.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t553.t2.t31))
% 11.55/11.74 (step t553.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t553.t2.t28))
% 11.55/11.74 (step t553.t2.t43 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t553.t2.t39 t553.t2.a10 t553.t2.t40 t553.t2.a14 t553.t2.t41 t553.t2.a0 t553.t2.t42 t553.t2.t30))
% 11.55/11.74 (step t553.t2.t44 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule symm :premises (t553.t2.t43))
% 11.55/11.74 (step t553.t2.t45 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t553.t2.t5 t553.t2.t44))
% 11.55/11.74 (step t553.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t553.t2.a2))
% 11.55/11.74 (step t553.t2.t47 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t553.t2.t46))
% 11.55/11.74 (step t553.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t553.t2.t44 t553.t2.t5))
% 11.55/11.74 (step t553.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t553.t2.a9))
% 11.55/11.74 (step t553.t2.t50 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t553.t2.t47 t553.t2.t48 t553.t2.t49))
% 11.55/11.74 (step t553.t2.t51 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t553.t2.t50 t553.t2.t43))
% 11.55/11.74 (step t553.t2.t52 (cl (= tptp.sk_c9 tptp.identity)) :rule trans :premises (t553.t2.t4 t553.t2.t38 t553.t2.t45 t553.t2.t51 t553.t2.t33))
% 11.55/11.74 (step t553.t2.t53 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t553.t2.a7 t553.t2.t52))
% 11.55/11.74 (step t553.t2.t54 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t553.t2.a7))
% 11.55/11.74 (step t553.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t553.t2.t54 t553.t2.t36))
% 11.55/11.74 (step t553.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t553.t2.a15))
% 11.55/11.74 (step t553.t2.t57 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t553.t2.a8))
% 11.55/11.74 (step t553.t2.t58 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t553.t2.t2 t553.t2.t53 t553.t2.t55 t553.t2.t21 t553.t2.t18 t553.t2.t56 t553.t2.t15 t553.t2.t57))
% 11.55/11.74 (step t553.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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_c10 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t553.t2.a0 t553.t2.a1 t553.t2.a2 t553.t2.a3 t553.t2.a4 t553.t2.a5 t553.t2.a6 t553.t2.a7 t553.t2.a8 t553.t2.a9 t553.t2.a10 t553.t2.a11 t553.t2.a12 t553.t2.a13 t553.t2.a14 t553.t2.a15 t553.t2.a16))
% 11.55/11.74 (step t553.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t553.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t553.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t553.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t553.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t553.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t553.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t553.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t553.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t553.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t553.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t553.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t553.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t553.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t553.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t553.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t553.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t553.t20 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))))) :rule resolution :premises (t553.t2 t553.t3 t553.t4 t553.t5 t553.t6 t553.t7 t553.t8 t553.t9 t553.t10 t553.t11 t553.t12 t553.t13 t553.t14 t553.t15 t553.t16 t553.t17 t553.t18 t553.t19))
% 11.55/11.74 (step t553.t21 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t553.t20))
% 11.55/11.74 (step t553.t22 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t553.t21))
% 11.55/11.74 (step t553.t23 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t553.t1 t553.t22))
% 11.55/11.74 (step t553.t24 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.55/11.74 (step t553.t25 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t553.t23 t553.t24))
% 11.55/11.74 (step t553.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t553.t25))
% 11.55/11.74 (step t553.t27 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t553.t26))
% 11.55/11.74 (step t553.t28 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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_c10 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule and_neg)
% 11.55/11.74 (step t553.t29 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))) :rule resolution :premises (t553.t28 t553.a16 t553.a15 t553.a13 t553.a0 t553.a5 t553.a2 t553.a4 t553.a1 t553.a8 t553.a14 t553.a11 t553.a6 t553.a7 t553.a3 t553.a10 t553.a9 t553.a12))
% 11.55/11.74 (step t553.t30 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t553.t27 t553.t29))
% 11.55/11.74 (step t553 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t553.a0 t553.a1 t553.a2 t553.a3 t553.a4 t553.a5 t553.a6 t553.a7 t553.a8 t553.a9 t553.a10 t553.a11 t553.a12 t553.a13 t553.a14 t553.a15 t553.a16))
% 11.55/11.74 (step t554 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t555 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t556 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t557 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t558 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t559 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t560 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t561 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t562 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t563 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t564 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t565 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t566 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t567 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t568 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t569 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t570 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t571 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t553 t554 t555 t556 t557 t558 t559 t560 t561 t562 t563 t564 t565 t566 t567 t568 t569 t570))
% 11.55/11.74 (step t572 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t571))
% 11.55/11.74 (step t573 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t572))
% 11.55/11.74 (step t574 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t552 t573))
% 11.55/11.74 (step t575 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.55/11.74 (step t576 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t574 t575))
% 11.55/11.74 (step t577 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t576))
% 11.55/11.74 (step t578 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t577))
% 11.55/11.74 (step t579 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t551 t578))
% 11.55/11.74 (step t580 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t579))
% 11.55/11.74 (step t581 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.74 (step t582 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t583)
% 11.55/11.74 (assume t583.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t583.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t583.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t583.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t583.a4 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t583.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t583.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t583.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.55/11.74 (assume t583.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t583.a9 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t583.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (assume t583.a11 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t583.a12 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t583.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t583.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t583.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t583.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t583.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (step t583.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg1)
% 11.55/11.74 (anchor :step t583.t2)
% 11.55/11.74 (assume t583.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.74 (assume t583.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.74 (assume t583.t2.a2 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.74 (assume t583.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.74 (assume t583.t2.a4 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.74 (assume t583.t2.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.74 (assume t583.t2.a6 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.74 (assume t583.t2.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.74 (assume t583.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.74 (assume t583.t2.a9 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.74 (assume t583.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.74 (assume t583.t2.a11 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.74 (assume t583.t2.a12 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.55/11.74 (assume t583.t2.a13 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.74 (assume t583.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.74 (assume t583.t2.a15 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.74 (assume t583.t2.a16 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.74 (assume t583.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.74 (step t583.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t583.t2.a6))
% 11.55/11.74 (step t583.t2.t2 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule symm :premises (t583.t2.t1))
% 11.55/11.74 (step t583.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.74 (step t583.t2.t4 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.74 (step t583.t2.t5 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t583.t2.a4))
% 11.55/11.74 (step t583.t2.t6 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule symm :premises (t583.t2.t5))
% 11.55/11.74 (step t583.t2.t7 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.74 (step t583.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t583.t2.a7))
% 11.55/11.74 (step t583.t2.t9 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t583.t2.t8))
% 11.55/11.74 (step t583.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t583.t2.t9))
% 11.55/11.74 (step t583.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t583.t2.t7 t583.t2.t10))
% 11.55/11.74 (step t583.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t583.t2.t11))
% 11.55/11.74 (step t583.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t583.t2.a9))
% 11.55/11.74 (step t583.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t583.t2.t13))
% 11.55/11.74 (step t583.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t583.t2.a14))
% 11.55/11.74 (step t583.t2.t16 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t583.t2.t15))
% 11.55/11.74 (step t583.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.74 (step t583.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t583.t2.t16 t583.t2.t17))
% 11.55/11.74 (step t583.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t583.t2.a17))
% 11.55/11.74 (step t583.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t583.t2.t19))
% 11.55/11.74 (step t583.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t583.t2.t6))
% 11.55/11.74 (step t583.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t583.t2.t11 t583.t2.t21))
% 11.55/11.74 (step t583.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t583.t2.t17 t583.t2.t22))
% 11.55/11.74 (step t583.t2.t24 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.74 (step t583.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t583.t2.t10 t583.t2.t24))
% 11.55/11.74 (step t583.t2.t26 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t583.t2.t14 t583.t2.t18 t583.t2.t20 t583.t2.t23 t583.t2.t25))
% 11.55/11.74 (step t583.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t583.t2.t7 t583.t2.t26))
% 11.55/11.74 (step t583.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t583.t2.a1))
% 11.55/11.74 (step t583.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t583.t2.t21 t583.t2.t24))
% 11.55/11.74 (step t583.t2.t30 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t583.t2.t6 t583.t2.t12 t583.t2.t27 t583.t2.t28 t583.t2.t29))
% 11.55/11.74 (step t583.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t583.t2.t4 t583.t2.t30))
% 11.55/11.74 (step t583.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t583.t2.a0))
% 11.55/11.74 (step t583.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t583.t2.a3))
% 11.55/11.74 (step t583.t2.t34 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t583.t2.t33 t583.t2.a11))
% 11.55/11.74 (step t583.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t583.t2.a16))
% 11.55/11.74 (step t583.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t583.t2.a13))
% 11.55/11.74 (step t583.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t583.t2.t36 t583.t2.t24))
% 11.55/11.74 (step t583.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t583.t2.a11))
% 11.55/11.74 (step t583.t2.t39 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t583.t2.a3 t583.t2.t31 t583.t2.t32 t583.t2.t34 t583.t2.t35 t583.t2.t37 t583.t2.t38))
% 11.55/11.74 (step t583.t2.t40 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t583.t2.t3 t583.t2.t39))
% 11.55/11.74 (step t583.t2.t41 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule symm :premises (t583.t2.t40))
% 11.55/11.74 (step t583.t2.t42 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t583.t2.a15))
% 11.55/11.74 (step t583.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t583.t2.t37))
% 11.55/11.74 (step t583.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t583.t2.t34))
% 11.55/11.74 (step t583.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t583.t2.t31))
% 11.55/11.74 (step t583.t2.t46 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t583.t2.t42 t583.t2.a11 t583.t2.t43 t583.t2.a16 t583.t2.t44 t583.t2.a0 t583.t2.t45 t583.t2.t33))
% 11.55/11.74 (step t583.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t583.t2.t3 t583.t2.t46))
% 11.55/11.74 (step t583.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t583.t2.t47))
% 11.55/11.74 (step t583.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t583.t2.a10))
% 11.55/11.74 (step t583.t2.t50 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t583.t2.t49))
% 11.55/11.74 (step t583.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t583.t2.t46 t583.t2.t3))
% 11.55/11.74 (step t583.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t583.t2.a2))
% 11.55/11.74 (step t583.t2.t53 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t583.t2.t52))
% 11.55/11.74 (step t583.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t583.t2.t53))
% 11.55/11.74 (step t583.t2.t55 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t583.t2.t50 t583.t2.t51 t583.t2.t54))
% 11.55/11.74 (step t583.t2.t56 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule symm :premises (t583.t2.t46))
% 11.55/11.74 (step t583.t2.t57 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t583.t2.t55 t583.t2.t56))
% 11.55/11.74 (step t583.t2.t58 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t583.t2.t57))
% 11.55/11.74 (step t583.t2.t59 (cl (= tptp.sk_c10 tptp.identity)) :rule symm :premises (t583.t2.t39))
% 11.55/11.74 (step t583.t2.t60 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t583.t2.a8 t583.t2.t59))
% 11.55/11.74 (step t583.t2.t61 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule trans :premises (t583.t2.t14 t583.t2.t18 t583.t2.t20 t583.t2.t23 t583.t2.t25 t583.t2.t60))
% 11.55/11.74 (step t583.t2.t62 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t583.t2.a8))
% 11.55/11.74 (step t583.t2.t63 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t583.t2.t2))
% 11.55/11.74 (step t583.t2.t64 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t583.t2.a13 t583.t2.t57 t583.t2.t47 t583.t2.t40 t583.t2.t63))
% 11.55/11.74 (step t583.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t583.t2.t62 t583.t2.t64))
% 11.55/11.74 (step t583.t2.t66 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t583.t2.a5))
% 11.55/11.74 (step t583.t2.t67 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule symm :premises (t583.t2.t66))
% 11.55/11.74 (step t583.t2.t68 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t583.t2.t67))
% 11.55/11.74 (step t583.t2.t69 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) tptp.identity)) :rule trans :premises (t583.t2.t65 t583.t2.t68 t583.t2.a11 t583.t2.t43 t583.t2.a16 t583.t2.t44 t583.t2.a0 t583.t2.t45 t583.t2.t33))
% 11.55/11.74 (step t583.t2.t70 (cl (= (tptp.inverse tptp.sk_c1) tptp.identity)) :rule trans :premises (t583.t2.t61 t583.t2.t69))
% 11.55/11.74 (step t583.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t583.t2.t70 t583.t2.a12))
% 11.55/11.74 (step t583.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t583.t2.a12))
% 11.55/11.74 (step t583.t2.t73 (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 (t583.t2.a13 t583.t2.t72))
% 11.55/11.74 (step t583.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t583.t2.t36 t583.t2.t7))
% 11.55/11.74 (step t583.t2.t75 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t583.t2.t16 t583.t2.t71 t583.t2.t73 t583.t2.t74 t583.t2.t72))
% 11.55/11.74 (step t583.t2.t76 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule cong :premises (t583.t2.t75 t583.t2.t39))
% 11.55/11.74 (step t583.t2.t77 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule trans :premises (t583.t2.t2 t583.t2.t41 t583.t2.t48 t583.t2.t58 t583.t2.t76))
% 11.55/11.74 (step t583.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule subproof :discharge (t583.t2.a0 t583.t2.a1 t583.t2.a2 t583.t2.a3 t583.t2.a4 t583.t2.a5 t583.t2.a6 t583.t2.a7 t583.t2.a8 t583.t2.a9 t583.t2.a10 t583.t2.a11 t583.t2.a12 t583.t2.a13 t583.t2.a14 t583.t2.a15 t583.t2.a16 t583.t2.a17))
% 11.55/11.74 (step t583.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t583.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t583.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t583.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t583.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.74 (step t583.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.74 (step t583.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t583.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t583.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.74 (step t583.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.74 (step t583.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t583.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.74 (step t583.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t583.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.74 (step t583.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.74 (step t583.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.74 (step t583.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.74 (step t583.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.74 (step t583.t21 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))))) :rule resolution :premises (t583.t2 t583.t3 t583.t4 t583.t5 t583.t6 t583.t7 t583.t8 t583.t9 t583.t10 t583.t11 t583.t12 t583.t13 t583.t14 t583.t15 t583.t16 t583.t17 t583.t18 t583.t19 t583.t20))
% 11.55/11.74 (step t583.t22 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t583.t21))
% 11.55/11.75 (step t583.t23 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule contraction :premises (t583.t22))
% 11.55/11.75 (step t583.t24 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule resolution :premises (t583.t1 t583.t23))
% 11.55/11.75 (step t583.t25 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.75 (step t583.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule resolution :premises (t583.t24 t583.t25))
% 11.55/11.75 (step t583.t27 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule contraction :premises (t583.t26))
% 11.55/11.75 (step t583.t28 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule implies :premises (t583.t27))
% 11.55/11.75 (step t583.t29 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (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_c1) tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule and_neg)
% 11.55/11.75 (step t583.t30 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t583.t29 t583.a17 t583.a16 t583.a14 t583.a13 t583.a0 t583.a5 t583.a2 t583.a4 t583.a1 t583.a9 t583.a15 t583.a12 t583.a7 t583.a6 t583.a8 t583.a3 t583.a11 t583.a10))
% 11.55/11.75 (step t583.t31 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule resolution :premises (t583.t28 t583.t30))
% 11.55/11.75 (step t583 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule subproof :discharge (t583.a0 t583.a1 t583.a2 t583.a3 t583.a4 t583.a5 t583.a6 t583.a7 t583.a8 t583.a9 t583.a10 t583.a11 t583.a12 t583.a13 t583.a14 t583.a15 t583.a16 t583.a17))
% 11.55/11.75 (step t584 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t585 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.75 (step t586 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t587 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.75 (step t588 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t589 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.75 (step t590 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t591 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t592 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t593 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t594 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t595 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t596 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t597 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t598 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.75 (step t599 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.75 (step t600 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t601 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t602 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t583 t584 t585 t586 t587 t588 t589 t590 t591 t592 t593 t594 t595 t596 t597 t598 t599 t600 t601))
% 11.55/11.75 (step t603 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t602))
% 11.55/11.75 (step t604 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule contraction :premises (t603))
% 11.55/11.75 (step t605 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule resolution :premises (t582 t604))
% 11.55/11.75 (step t606 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.75 (step t607 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule resolution :premises (t605 t606))
% 11.55/11.75 (step t608 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10)))) :rule contraction :premises (t607))
% 11.55/11.75 (step t609 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c4 (tptp.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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule implies :premises (t608))
% 11.55/11.75 (step t610 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule resolution :premises (t581 t609))
% 11.55/11.75 (step t611 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) :rule reordering :premises (t610))
% 11.55/11.75 (step t612 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t613)
% 11.55/11.75 (assume t613.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.75 (step t613.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.55/11.75 (step t613.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t613.t1))
% 11.55/11.75 (step t613.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t613.t2 t613.a0))
% 11.55/11.75 (step t613 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t613.a0))
% 11.55/11.75 (step t614 (cl (=> (forall ((X $$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 (t612 t613))
% 11.55/11.75 (step t615 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 11.55/11.75 (step t616 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t614 t615))
% 11.55/11.75 (step t617 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t616))
% 11.55/11.75 (step t618 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t617))
% 11.55/11.75 (step t619 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t618 t271))
% 11.55/11.75 (step t620 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t548 t550 t580 t234 t242 t296 t304 t320 t328 t336 t344 t352 t360 t376 t611 t234 t242 t296 t304 t320 t328 t336 t344 t352 t360 t619 t376))
% 11.55/11.75 (step t621 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t620))
% 11.55/11.75 (step t622 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))) :rule reordering :premises (t621))
% 11.55/11.75 (step t623 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.75 (step t624 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t625)
% 11.55/11.75 (assume t625.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t625.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.75 (assume t625.a2 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t625.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t625.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t625.a5 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t625.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t625.a7 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t625.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t625.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t625.a10 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.75 (assume t625.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t625.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (step t625.t1 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t625.t2)
% 11.55/11.75 (assume t625.t2.a0 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.75 (assume t625.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.75 (assume t625.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t625.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t625.t2.a4 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t625.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t625.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (assume t625.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t625.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t625.t2.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t625.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t625.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t625.t2.a12 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (step t625.t2.t1 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.75 (step t625.t2.t2 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.75 (step t625.t2.t3 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t625.t2.a9))
% 11.55/11.75 (step t625.t2.t4 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t625.t2.t2 t625.t2.t3))
% 11.55/11.75 (step t625.t2.t5 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t625.t2.t4))
% 11.55/11.75 (step t625.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t625.t2.a12))
% 11.55/11.75 (step t625.t2.t7 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t625.t2.t6))
% 11.55/11.75 (step t625.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t625.t2.a11))
% 11.55/11.75 (step t625.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t625.t2.t8))
% 11.55/11.75 (step t625.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.75 (step t625.t2.t11 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t625.t2.t9 t625.t2.t10))
% 11.55/11.75 (step t625.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t625.t2.a10))
% 11.55/11.75 (step t625.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t625.t2.t12))
% 11.55/11.75 (step t625.t2.t14 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t625.t2.a7))
% 11.55/11.75 (step t625.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t625.t2.t4 t625.t2.t14))
% 11.55/11.75 (step t625.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t625.t2.t10 t625.t2.t15))
% 11.55/11.75 (step t625.t2.t17 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.75 (step t625.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t625.t2.t3 t625.t2.t17))
% 11.55/11.75 (step t625.t2.t19 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t625.t2.t7 t625.t2.t11 t625.t2.t13 t625.t2.t16 t625.t2.t18))
% 11.55/11.75 (step t625.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t625.t2.t2 t625.t2.t19))
% 11.55/11.75 (step t625.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t625.t2.a8))
% 11.55/11.75 (step t625.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule symm :premises (t625.t2.t21))
% 11.55/11.75 (step t625.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t625.t2.t22))
% 11.55/11.75 (step t625.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t625.t2.t14 t625.t2.t17))
% 11.55/11.75 (step t625.t2.t25 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t625.t2.a7 t625.t2.t5 t625.t2.t20 t625.t2.t23 t625.t2.t24))
% 11.55/11.75 (step t625.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t625.t2.t1 t625.t2.t25))
% 11.55/11.75 (step t625.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t625.t2.a6))
% 11.55/11.75 (step t625.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule symm :premises (t625.t2.t27))
% 11.55/11.75 (step t625.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t625.t2.t28))
% 11.55/11.75 (step t625.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t625.t2.a5))
% 11.55/11.75 (step t625.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t625.t2.t30 t625.t2.a2))
% 11.55/11.75 (step t625.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t625.t2.a4))
% 11.55/11.75 (step t625.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t625.t2.t32))
% 11.55/11.75 (step t625.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t625.t2.t33))
% 11.55/11.75 (step t625.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t625.t2.a3))
% 11.55/11.75 (step t625.t2.t36 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t625.t2.t35))
% 11.55/11.75 (step t625.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t625.t2.t36))
% 11.55/11.75 (step t625.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t625.t2.t37 t625.t2.t17))
% 11.55/11.75 (step t625.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t625.t2.a2))
% 11.55/11.75 (step t625.t2.t40 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t625.t2.a1))
% 11.55/11.75 (step t625.t2.t41 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t625.t2.t40))
% 11.55/11.75 (step t625.t2.t42 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t625.t2.a5 t625.t2.t26 t625.t2.t29 t625.t2.t31 t625.t2.t34 t625.t2.t38 t625.t2.t39 t625.t2.t41))
% 11.55/11.75 (step t625.t2.t43 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t625.t2.t42))
% 11.55/11.75 (step t625.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t625.t2.a0))
% 11.55/11.75 (step t625.t2.t45 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t625.t2.t44))
% 11.55/11.75 (step t625.t2.t46 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule trans :premises (t625.t2.t43 t625.t2.t45))
% 11.55/11.75 (step t625.t2 (cl (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t625.t2.a0 t625.t2.a1 t625.t2.a2 t625.t2.a3 t625.t2.a4 t625.t2.a5 t625.t2.a6 t625.t2.a7 t625.t2.a8 t625.t2.a9 t625.t2.a10 t625.t2.a11 t625.t2.a12))
% 11.55/11.75 (step t625.t3 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.75 (step t625.t4 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t625.t5 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t625.t6 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t625.t7 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t625.t8 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t625.t9 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t625.t10 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t625.t11 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t625.t12 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t625.t13 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t625.t14 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t625.t15 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t625.t16 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t625.t2 t625.t3 t625.t4 t625.t5 t625.t6 t625.t7 t625.t8 t625.t9 t625.t10 t625.t11 t625.t12 t625.t13 t625.t14 t625.t15))
% 11.55/11.75 (step t625.t17 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t625.t16))
% 11.55/11.75 (step t625.t18 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t625.t17))
% 11.55/11.75 (step t625.t19 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t625.t1 t625.t18))
% 11.55/11.75 (step t625.t20 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.75 (step t625.t21 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t625.t19 t625.t20))
% 11.55/11.75 (step t625.t22 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t625.t21))
% 11.55/11.75 (step t625.t23 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t625.t22))
% 11.55/11.75 (step t625.t24 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule and_neg)
% 11.55/11.75 (step t625.t25 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t625.t24 t625.a10 t625.a1 t625.a8 t625.a3 t625.a7 t625.a9 t625.a12 t625.a0 t625.a11 t625.a2 t625.a6 t625.a4 t625.a5))
% 11.55/11.75 (step t625.t26 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t625.t23 t625.t25))
% 11.55/11.75 (step t625 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :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))
% 11.55/11.75 (step t626 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t627 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t628 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t629 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t630 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t631 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t632 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t633 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t634 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t635 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t636 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.75 (step t637 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t638 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t639 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t625 t626 t627 t628 t629 t630 t631 t632 t633 t634 t635 t636 t637 t638))
% 11.55/11.75 (step t640 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t639))
% 11.55/11.75 (step t641 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t640))
% 11.55/11.75 (step t642 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t624 t641))
% 11.55/11.75 (step t643 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.75 (step t644 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t642 t643))
% 11.55/11.75 (step t645 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t644))
% 11.55/11.75 (step t646 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t645))
% 11.55/11.75 (step t647 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t623 t646))
% 11.55/11.75 (step t648 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t647))
% 11.55/11.75 (step t649 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t541 t622 t648 t234 t242 t499 t320 t328 t336 t344 t352 t360 t376))
% 11.55/11.75 (step t650 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule contraction :premises (t649))
% 11.55/11.75 (step t651 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.55/11.75 (step t652 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule all_simplify)
% 11.55/11.75 (step t653 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t652 t403))
% 11.55/11.75 (step t654 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t651 t653 a34))
% 11.55/11.75 (step t655 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t654))
% 11.55/11.75 (step t656 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t655))
% 11.55/11.75 (step t657 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.55/11.75 (step t658 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t652 t391))
% 11.55/11.75 (step t659 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t657 t658 a36))
% 11.55/11.75 (step t660 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t659))
% 11.55/11.75 (step t661 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t660))
% 11.55/11.75 (step t662 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.55/11.75 (step t663 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t652 t397))
% 11.55/11.75 (step t664 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t662 t663 a35))
% 11.55/11.75 (step t665 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t664))
% 11.55/11.75 (step t666 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t665))
% 11.55/11.75 (step t667 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.55/11.75 (step t668 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t652 t64))
% 11.55/11.75 (step t669 (cl (or (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t667 t668 a33))
% 11.55/11.75 (step t670 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t669))
% 11.55/11.75 (step t671 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule reordering :premises (t670))
% 11.55/11.75 (step t672 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule resolution :premises (t650 t656 t661 t666 t671))
% 11.55/11.75 (step t673 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule contraction :premises (t672))
% 11.55/11.75 (step t674 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule or_pos)
% 11.55/11.75 (step t675 (cl (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))))) :rule reordering :premises (t674))
% 11.55/11.75 (step t676 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.75 (step t677 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t678)
% 11.55/11.75 (assume t678.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t678.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t678.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.75 (assume t678.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.55/11.75 (assume t678.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t678.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t678.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t678.a7 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t678.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t678.a9 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t678.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t678.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t678.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t678.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t678.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t678.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (step t678.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t678.t2)
% 11.55/11.75 (assume t678.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t678.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t678.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t678.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t678.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t678.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (assume t678.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t678.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t678.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t678.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t678.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t678.t2.a11 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t678.t2.a12 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.75 (assume t678.t2.a13 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.55/11.75 (assume t678.t2.a14 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t678.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (step t678.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t678.t2.a11))
% 11.55/11.75 (step t678.t2.t2 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t678.t2.t1))
% 11.55/11.75 (step t678.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t678.t2.a10))
% 11.55/11.75 (step t678.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t678.t2.t3))
% 11.55/11.75 (step t678.t2.t5 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.75 (step t678.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t678.t2.t4 t678.t2.t5))
% 11.55/11.75 (step t678.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t678.t2.a9))
% 11.55/11.75 (step t678.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t678.t2.t7))
% 11.55/11.75 (step t678.t2.t9 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t678.t2.a8))
% 11.55/11.75 (step t678.t2.t10 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.75 (step t678.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t678.t2.t10 t678.t2.t9))
% 11.55/11.75 (step t678.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t678.t2.a6))
% 11.55/11.75 (step t678.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t678.t2.a2))
% 11.55/11.75 (step t678.t2.t14 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.75 (step t678.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t678.t2.t13 t678.t2.t14))
% 11.55/11.75 (step t678.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t678.t2.t15))
% 11.55/11.75 (step t678.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t678.t2.a4))
% 11.55/11.75 (step t678.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t678.t2.t17 t678.t2.a1))
% 11.55/11.75 (step t678.t2.t19 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t678.t2.t18))
% 11.55/11.75 (step t678.t2.t20 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.75 (step t678.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t678.t2.t11))
% 11.55/11.75 (step t678.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t678.t2.t11 t678.t2.t12))
% 11.55/11.75 (step t678.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t678.t2.t5 t678.t2.t22))
% 11.55/11.75 (step t678.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t678.t2.t9 t678.t2.t14))
% 11.55/11.75 (step t678.t2.t25 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t678.t2.t2 t678.t2.t6 t678.t2.t8 t678.t2.t23 t678.t2.t24))
% 11.55/11.75 (step t678.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t678.t2.t10 t678.t2.t25))
% 11.55/11.75 (step t678.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t678.t2.a7))
% 11.55/11.75 (step t678.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t678.t2.t12 t678.t2.t14))
% 11.55/11.75 (step t678.t2.t29 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t678.t2.a6 t678.t2.t21 t678.t2.t26 t678.t2.t27 t678.t2.t28))
% 11.55/11.75 (step t678.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t678.t2.t20 t678.t2.t29))
% 11.55/11.75 (step t678.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t678.t2.t30))
% 11.55/11.75 (step t678.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t678.t2.a15))
% 11.55/11.75 (step t678.t2.t33 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t678.t2.t32))
% 11.55/11.75 (step t678.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t678.t2.a5))
% 11.55/11.75 (step t678.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t678.t2.a3))
% 11.55/11.75 (step t678.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t678.t2.a1))
% 11.55/11.75 (step t678.t2.t37 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t678.t2.a0))
% 11.55/11.75 (step t678.t2.t38 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t678.t2.t37))
% 11.55/11.75 (step t678.t2.t39 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t678.t2.a4 t678.t2.t30 t678.t2.t34 t678.t2.t18 t678.t2.t35 t678.t2.t15 t678.t2.t36 t678.t2.t38))
% 11.55/11.75 (step t678.t2.t40 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule symm :premises (t678.t2.t39))
% 11.55/11.75 (step t678.t2.t41 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.55/11.75 (step t678.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t678.t2.t40 t678.t2.t41))
% 11.55/11.75 (step t678.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t678.t2.a14))
% 11.55/11.75 (step t678.t2.t44 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t678.t2.t33 t678.t2.t42 t678.t2.t43))
% 11.55/11.75 (step t678.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t678.t2.t44 t678.t2.t39))
% 11.55/11.75 (step t678.t2.t46 (cl (= (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t678.t2.t41 t678.t2.t37))
% 11.55/11.75 (step t678.t2.t47 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t678.t2.a13))
% 11.55/11.75 (step t678.t2.t48 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c9)) :rule trans :premises (t678.t2.t11 t678.t2.t12 t678.t2.a1 t678.t2.t16 t678.t2.a3 t678.t2.t19 t678.t2.a5 t678.t2.t31 t678.t2.t17 t678.t2.a2 t678.t2.t45 t678.t2.t46 t678.t2.t47))
% 11.55/11.75 (step t678.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t678.t2.t9 t678.t2.t48))
% 11.55/11.75 (step t678.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t678.t2.a12))
% 11.55/11.75 (step t678.t2.t51 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t678.t2.a4 t678.t2.t30 t678.t2.t34 t678.t2.t18 t678.t2.t35 t678.t2.t15 t678.t2.t36))
% 11.55/11.75 (step t678.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule cong :premises (t678.t2.t39 t678.t2.t51))
% 11.55/11.75 (step t678.t2.t53 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule trans :premises (t678.t2.a8 t678.t2.t2 t678.t2.t6 t678.t2.t8 t678.t2.t49 t678.t2.t50 t678.t2.a1 t678.t2.t16 t678.t2.a3 t678.t2.t19 t678.t2.a5 t678.t2.t31 t678.t2.t17 t678.t2.a2 t678.t2.t52))
% 11.55/11.75 (step t678.t2 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule subproof :discharge (t678.t2.a0 t678.t2.a1 t678.t2.a2 t678.t2.a3 t678.t2.a4 t678.t2.a5 t678.t2.a6 t678.t2.a7 t678.t2.a8 t678.t2.a9 t678.t2.a10 t678.t2.a11 t678.t2.a12 t678.t2.a13 t678.t2.a14 t678.t2.a15))
% 11.55/11.75 (step t678.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t678.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t678.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t678.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t678.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t678.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t678.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t678.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t678.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t678.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t678.t13 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t678.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t678.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.75 (step t678.t16 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t678.t17 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t678.t18 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t678.t19 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t678.t2 t678.t3 t678.t4 t678.t5 t678.t6 t678.t7 t678.t8 t678.t9 t678.t10 t678.t11 t678.t12 t678.t13 t678.t14 t678.t15 t678.t16 t678.t17 t678.t18))
% 11.55/11.75 (step t678.t20 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule reordering :premises (t678.t19))
% 11.55/11.75 (step t678.t21 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule contraction :premises (t678.t20))
% 11.55/11.75 (step t678.t22 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule resolution :premises (t678.t1 t678.t21))
% 11.55/11.75 (step t678.t23 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.75 (step t678.t24 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule resolution :premises (t678.t22 t678.t23))
% 11.55/11.75 (step t678.t25 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule contraction :premises (t678.t24))
% 11.55/11.75 (step t678.t26 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule implies :premises (t678.t25))
% 11.55/11.75 (step t678.t27 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.55/11.75 (step t678.t28 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t678.t27 t678.a4 t678.a10 t678.a5 t678.a9 t678.a11 t678.a15 t678.a0 t678.a14 t678.a1 t678.a8 t678.a6 t678.a7 t678.a2 t678.a3 t678.a12 t678.a13))
% 11.55/11.75 (step t678.t29 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule resolution :premises (t678.t26 t678.t28))
% 11.55/11.75 (step t678 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule subproof :discharge (t678.a0 t678.a1 t678.a2 t678.a3 t678.a4 t678.a5 t678.a6 t678.a7 t678.a8 t678.a9 t678.a10 t678.a11 t678.a12 t678.a13 t678.a14 t678.a15))
% 11.55/11.75 (step t679 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t680 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t681 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.75 (step t682 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t683 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t684 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t685 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t686 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t687 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t688 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t689 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t690 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t691 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t692 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t693 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t694 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t695 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t678 t679 t680 t681 t682 t683 t684 t685 t686 t687 t688 t689 t690 t691 t692 t693 t694))
% 11.55/11.75 (step t696 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule reordering :premises (t695))
% 11.55/11.75 (step t697 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule contraction :premises (t696))
% 11.55/11.75 (step t698 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule resolution :premises (t677 t697))
% 11.55/11.75 (step t699 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.75 (step t700 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule resolution :premises (t698 t699))
% 11.55/11.75 (step t701 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)))) :rule contraction :premises (t700))
% 11.55/11.75 (step t702 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule implies :premises (t701))
% 11.55/11.75 (step t703 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) :rule resolution :premises (t676 t702))
% 11.55/11.75 (step t704 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10)) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t703))
% 11.55/11.75 (step t705 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t706)
% 11.55/11.75 (assume t706.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.75 (step t706.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.55/11.75 (step t706.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t706.t1))
% 11.55/11.75 (step t706.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t706.t2 t706.a0))
% 11.55/11.75 (step t706 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t706.a0))
% 11.55/11.75 (step t707 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t705 t706))
% 11.55/11.75 (step t708 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 11.55/11.75 (step t709 (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 (t707 t708))
% 11.55/11.75 (step t710 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t709))
% 11.55/11.75 (step t711 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t710))
% 11.55/11.75 (step t712 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t711 t252))
% 11.55/11.75 (step t713 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t714)
% 11.55/11.75 (assume t714.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.75 (step t714.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.55/11.75 (step t714.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t714.t1))
% 11.55/11.75 (step t714.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t714.t2 t714.a0))
% 11.55/11.75 (step t714 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t714.a0))
% 11.55/11.75 (step t715 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t713 t714))
% 11.55/11.75 (step t716 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 11.55/11.75 (step t717 (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 (t715 t716))
% 11.55/11.75 (step t718 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t717))
% 11.55/11.75 (step t719 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t718))
% 11.55/11.75 (step t720 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t719 t271))
% 11.55/11.75 (step t721 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t722)
% 11.55/11.75 (assume t722.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t722.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t722.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.75 (assume t722.a3 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.55/11.75 (assume t722.a4 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t722.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t722.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t722.a7 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t722.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t722.a9 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t722.a10 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t722.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t722.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t722.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t722.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t722.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (step t722.t1 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t722.t2)
% 11.55/11.75 (assume t722.t2.a0 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t722.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t722.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t722.t2.a3 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t722.t2.a4 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t722.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t722.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t722.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t722.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (assume t722.t2.a9 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t722.t2.a10 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t722.t2.a11 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t722.t2.a12 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t722.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t722.t2.a14 (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))
% 11.55/11.75 (assume t722.t2.a15 (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))
% 11.55/11.75 (step t722.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t722.t2.a4))
% 11.55/11.75 (step t722.t2.t2 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t722.t2.t1))
% 11.55/11.75 (step t722.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t722.t2.a5))
% 11.55/11.75 (step t722.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t722.t2.t3))
% 11.55/11.75 (step t722.t2.t5 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.75 (step t722.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t722.t2.t4 t722.t2.t5))
% 11.55/11.75 (step t722.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t722.t2.a6))
% 11.55/11.75 (step t722.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t722.t2.t7))
% 11.55/11.75 (step t722.t2.t9 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t722.t2.a3))
% 11.55/11.75 (step t722.t2.t10 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.75 (step t722.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t722.t2.t10 t722.t2.t9))
% 11.55/11.75 (step t722.t2.t12 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t722.t2.a2))
% 11.55/11.75 (step t722.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t722.t2.a11))
% 11.55/11.75 (step t722.t2.t14 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.75 (step t722.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t722.t2.t13 t722.t2.t14))
% 11.55/11.75 (step t722.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t722.t2.t15))
% 11.55/11.75 (step t722.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t722.t2.a1))
% 11.55/11.75 (step t722.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t722.t2.t17 t722.t2.a9))
% 11.55/11.75 (step t722.t2.t19 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t722.t2.t18))
% 11.55/11.75 (step t722.t2.t20 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.75 (step t722.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t722.t2.t11))
% 11.55/11.75 (step t722.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t722.t2.t11 t722.t2.t12))
% 11.55/11.75 (step t722.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t722.t2.t5 t722.t2.t22))
% 11.55/11.75 (step t722.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t722.t2.t9 t722.t2.t14))
% 11.55/11.75 (step t722.t2.t25 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t722.t2.t2 t722.t2.t6 t722.t2.t8 t722.t2.t23 t722.t2.t24))
% 11.55/11.75 (step t722.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t722.t2.t10 t722.t2.t25))
% 11.55/11.75 (step t722.t2.t27 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t722.t2.a7))
% 11.55/11.75 (step t722.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t722.t2.t12 t722.t2.t14))
% 11.55/11.75 (step t722.t2.t29 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t722.t2.a2 t722.t2.t21 t722.t2.t26 t722.t2.t27 t722.t2.t28))
% 11.55/11.75 (step t722.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t722.t2.t20 t722.t2.t29))
% 11.55/11.75 (step t722.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t722.t2.t30))
% 11.55/11.75 (step t722.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t722.t2.a13))
% 11.55/11.75 (step t722.t2.t33 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t722.t2.t32))
% 11.55/11.75 (step t722.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t722.t2.a8))
% 11.55/11.75 (step t722.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t722.t2.a10))
% 11.55/11.75 (step t722.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t722.t2.a9))
% 11.55/11.75 (step t722.t2.t37 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t722.t2.a12))
% 11.55/11.75 (step t722.t2.t38 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t722.t2.t37))
% 11.55/11.75 (step t722.t2.t39 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t722.t2.a1 t722.t2.t30 t722.t2.t34 t722.t2.t18 t722.t2.t35 t722.t2.t15 t722.t2.t36 t722.t2.t38))
% 11.55/11.75 (step t722.t2.t40 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule symm :premises (t722.t2.t39))
% 11.55/11.75 (step t722.t2.t41 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.55/11.75 (step t722.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t722.t2.t40 t722.t2.t41))
% 11.55/11.75 (step t722.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t722.t2.a0))
% 11.55/11.75 (step t722.t2.t44 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t722.t2.t33 t722.t2.t42 t722.t2.t43))
% 11.55/11.75 (step t722.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t722.t2.t44 t722.t2.t39))
% 11.55/11.75 (step t722.t2.t46 (cl (= (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)) (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule cong :premises (t722.t2.t41 t722.t2.t37))
% 11.55/11.75 (step t722.t2.t47 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t722.t2.a15))
% 11.55/11.75 (step t722.t2.t48 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c9)) :rule trans :premises (t722.t2.t11 t722.t2.t12 t722.t2.a9 t722.t2.t16 t722.t2.a10 t722.t2.t19 t722.t2.a8 t722.t2.t31 t722.t2.t17 t722.t2.a11 t722.t2.t45 t722.t2.t46 t722.t2.t47))
% 11.55/11.75 (step t722.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t722.t2.t9 t722.t2.t48))
% 11.55/11.75 (step t722.t2.t50 (cl (= (tptp.multiply tptp.sk_c11 tptp.sk_c9) tptp.sk_c10)) :rule symm :premises (t722.t2.a14))
% 11.55/11.75 (step t722.t2.t51 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t722.t2.a3 t722.t2.t2 t722.t2.t6 t722.t2.t8 t722.t2.t49 t722.t2.t50 t722.t2.a9 t722.t2.t16 t722.t2.a10 t722.t2.t19 t722.t2.a8 t722.t2.t31 t722.t2.t17 t722.t2.a11 t722.t2.t45))
% 11.55/11.75 (step t722.t2 (cl (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t722.t2.a0 t722.t2.a1 t722.t2.a2 t722.t2.a3 t722.t2.a4 t722.t2.a5 t722.t2.a6 t722.t2.a7 t722.t2.a8 t722.t2.a9 t722.t2.a10 t722.t2.a11 t722.t2.a12 t722.t2.a13 t722.t2.a14 t722.t2.a15))
% 11.55/11.75 (step t722.t3 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t722.t4 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t722.t5 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t722.t6 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t722.t7 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t722.t8 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t722.t9 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t722.t10 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t722.t11 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t722.t12 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t722.t13 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t722.t14 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t722.t15 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t722.t16 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t722.t17 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.75 (step t722.t18 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t722.t19 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))))) :rule resolution :premises (t722.t2 t722.t3 t722.t4 t722.t5 t722.t6 t722.t7 t722.t8 t722.t9 t722.t10 t722.t11 t722.t12 t722.t13 t722.t14 t722.t15 t722.t16 t722.t17 t722.t18))
% 11.55/11.75 (step t722.t20 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t722.t19))
% 11.55/11.75 (step t722.t21 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t722.t20))
% 11.55/11.75 (step t722.t22 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t722.t1 t722.t21))
% 11.55/11.75 (step t722.t23 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.55/11.75 (step t722.t24 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t722.t22 t722.t23))
% 11.55/11.75 (step t722.t25 (cl (=> (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t722.t24))
% 11.55/11.75 (step t722.t26 (cl (not (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t722.t25))
% 11.55/11.75 (step t722.t27 (cl (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule and_neg)
% 11.55/11.75 (step t722.t28 (cl (and (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)))) :rule resolution :premises (t722.t27 t722.a12 t722.a11 t722.a0 t722.a1 t722.a7 t722.a6 t722.a8 t722.a14 t722.a15 t722.a10 t722.a9 t722.a5 t722.a4 t722.a13 t722.a2 t722.a3))
% 11.55/11.75 (step t722.t29 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t722.t26 t722.t28))
% 11.55/11.75 (step t722 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t722.a0 t722.a1 t722.a2 t722.a3 t722.a4 t722.a5 t722.a6 t722.a7 t722.a8 t722.a9 t722.a10 t722.a11 t722.a12 t722.a13 t722.a14 t722.a15))
% 11.55/11.75 (step t723 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t724 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t725 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule and_pos)
% 11.55/11.75 (step t726 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t727 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t728 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t729 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t730 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t731 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t732 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t733 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t734 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t735 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t736 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t737 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t738 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t739 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t722 t723 t724 t725 t726 t727 t728 t729 t730 t731 t732 t733 t734 t735 t736 t737 t738))
% 11.55/11.75 (step t740 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t739))
% 11.55/11.75 (step t741 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t740))
% 11.55/11.75 (step t742 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t721 t741))
% 11.55/11.75 (step t743 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.55/11.75 (step t744 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t742 t743))
% 11.55/11.75 (step t745 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t744))
% 11.55/11.75 (step t746 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t745))
% 11.55/11.75 (step t747 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t676 t746))
% 11.55/11.75 (step t748 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (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_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t747))
% 11.55/11.75 (step t749 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule and_neg)
% 11.55/11.75 (step t750 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t751)
% 11.55/11.75 (assume t751.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t751.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t751.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t751.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t751.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t751.a5 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t751.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t751.a7 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t751.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t751.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t751.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t751.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t751.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t751.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (step t751.t1 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t751.t2)
% 11.55/11.75 (assume t751.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t751.t2.a1 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t751.t2.a2 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t751.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t751.t2.a4 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t751.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t751.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (assume t751.t2.a7 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t751.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t751.t2.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t751.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t751.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t751.t2.a12 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t751.t2.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (step t751.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t751.t2.a13))
% 11.55/11.75 (step t751.t2.t2 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t751.t2.t1))
% 11.55/11.75 (step t751.t2.t3 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.75 (step t751.t2.t4 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.75 (step t751.t2.t5 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t751.t2.a9))
% 11.55/11.75 (step t751.t2.t6 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t751.t2.t4 t751.t2.t5))
% 11.55/11.75 (step t751.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t751.t2.t6))
% 11.55/11.75 (step t751.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t751.t2.a12))
% 11.55/11.75 (step t751.t2.t9 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t751.t2.t8))
% 11.55/11.75 (step t751.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t751.t2.a11))
% 11.55/11.75 (step t751.t2.t11 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t751.t2.t10))
% 11.55/11.75 (step t751.t2.t12 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.75 (step t751.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t751.t2.t11 t751.t2.t12))
% 11.55/11.75 (step t751.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t751.t2.a10))
% 11.55/11.75 (step t751.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t751.t2.t14))
% 11.55/11.75 (step t751.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t751.t2.a7))
% 11.55/11.75 (step t751.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t751.t2.t6 t751.t2.t16))
% 11.55/11.75 (step t751.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t751.t2.t12 t751.t2.t17))
% 11.55/11.75 (step t751.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.75 (step t751.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t751.t2.t5 t751.t2.t19))
% 11.55/11.75 (step t751.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t751.t2.t9 t751.t2.t13 t751.t2.t15 t751.t2.t18 t751.t2.t20))
% 11.55/11.75 (step t751.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t751.t2.t4 t751.t2.t21))
% 11.55/11.75 (step t751.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t751.t2.a8))
% 11.55/11.75 (step t751.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t751.t2.t16 t751.t2.t19))
% 11.55/11.75 (step t751.t2.t25 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t751.t2.a7 t751.t2.t7 t751.t2.t22 t751.t2.t23 t751.t2.t24))
% 11.55/11.75 (step t751.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t751.t2.t3 t751.t2.t25))
% 11.55/11.75 (step t751.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t751.t2.a6))
% 11.55/11.75 (step t751.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t751.t2.a5))
% 11.55/11.75 (step t751.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t751.t2.t28 t751.t2.a2))
% 11.55/11.75 (step t751.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t751.t2.a4))
% 11.55/11.75 (step t751.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t751.t2.a3))
% 11.55/11.75 (step t751.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t751.t2.t31 t751.t2.t19))
% 11.55/11.75 (step t751.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t751.t2.a2))
% 11.55/11.75 (step t751.t2.t34 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t751.t2.a1))
% 11.55/11.75 (step t751.t2.t35 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t751.t2.t34))
% 11.55/11.75 (step t751.t2.t36 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t751.t2.a5 t751.t2.t26 t751.t2.t27 t751.t2.t29 t751.t2.t30 t751.t2.t32 t751.t2.t33 t751.t2.t35))
% 11.55/11.75 (step t751.t2.t37 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.55/11.75 (step t751.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t751.t2.t36 t751.t2.t37))
% 11.55/11.75 (step t751.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t751.t2.a0))
% 11.55/11.75 (step t751.t2.t40 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t751.t2.t39))
% 11.55/11.75 (step t751.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t751.t2.t40))
% 11.55/11.75 (step t751.t2.t42 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t751.t2.t2 t751.t2.t38 t751.t2.t41))
% 11.55/11.75 (step t751.t2.t43 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.identity))) :rule cong :premises (t751.t2.t42))
% 11.55/11.75 (step t751.t2.t44 (cl (= tptp.identity (tptp.inverse tptp.identity))) :rule trans :premises (t751.t2.a5 t751.t2.t26 t751.t2.t27 t751.t2.t29 t751.t2.t30 t751.t2.t32 t751.t2.t33 t751.t2.t35 t751.t2.t43))
% 11.55/11.75 (step t751.t2.t45 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule cong :premises (t751.t2.t44))
% 11.55/11.75 (step t751.t2.t46 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule trans :premises (t751.t2.t43 t751.t2.t45))
% 11.55/11.75 (step t751.t2 (cl (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule subproof :discharge (t751.t2.a0 t751.t2.a1 t751.t2.a2 t751.t2.a3 t751.t2.a4 t751.t2.a5 t751.t2.a6 t751.t2.a7 t751.t2.a8 t751.t2.a9 t751.t2.a10 t751.t2.a11 t751.t2.a12 t751.t2.a13))
% 11.55/11.75 (step t751.t3 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t751.t4 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t751.t5 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t751.t6 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t751.t7 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t751.t8 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t751.t9 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t751.t10 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t751.t11 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t751.t12 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t751.t13 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t751.t14 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t751.t15 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t751.t16 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t751.t17 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule resolution :premises (t751.t2 t751.t3 t751.t4 t751.t5 t751.t6 t751.t7 t751.t8 t751.t9 t751.t10 t751.t11 t751.t12 t751.t13 t751.t14 t751.t15 t751.t16))
% 11.55/11.75 (step t751.t18 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule reordering :premises (t751.t17))
% 11.55/11.75 (step t751.t19 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule contraction :premises (t751.t18))
% 11.55/11.75 (step t751.t20 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t751.t1 t751.t19))
% 11.55/11.75 (step t751.t21 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.75 (step t751.t22 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule resolution :premises (t751.t20 t751.t21))
% 11.55/11.75 (step t751.t23 (cl (=> (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule contraction :premises (t751.t22))
% 11.55/11.75 (step t751.t24 (cl (not (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule implies :premises (t751.t23))
% 11.55/11.75 (step t751.t25 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= 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.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule and_neg)
% 11.55/11.75 (step t751.t26 (cl (and (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t751.t25 t751.a11 t751.a2 t751.a8 t751.a3 t751.a7 t751.a9 t751.a13 t751.a0 t751.a12 t751.a1 t751.a6 t751.a4 t751.a5 t751.a10))
% 11.55/11.75 (step t751.t27 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t751.t24 t751.t26))
% 11.55/11.75 (step t751 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule subproof :discharge (t751.a0 t751.a1 t751.a2 t751.a3 t751.a4 t751.a5 t751.a6 t751.a7 t751.a8 t751.a9 t751.a10 t751.a11 t751.a12 t751.a13))
% 11.55/11.75 (step t752 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t753 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t754 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t755 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t756 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t757 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t758 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t759 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t760 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t761 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t762 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t763 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t764 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t765 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t766 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t751 t752 t753 t754 t755 t756 t757 t758 t759 t760 t761 t762 t763 t764 t765))
% 11.55/11.75 (step t767 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule reordering :premises (t766))
% 11.55/11.75 (step t768 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule contraction :premises (t767))
% 11.55/11.75 (step t769 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t750 t768))
% 11.55/11.75 (step t770 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.75 (step t771 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule resolution :premises (t769 t770))
% 11.55/11.75 (step t772 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))))) :rule contraction :premises (t771))
% 11.55/11.75 (step t773 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule implies :premises (t772))
% 11.55/11.75 (step t774 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t749 t773))
% 11.55/11.75 (step t775 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t774))
% 11.55/11.75 (step t776 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t777)
% 11.55/11.75 (assume t777.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t777.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t777.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t777.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t777.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t777.a5 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t777.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t777.a7 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t777.a8 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t777.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t777.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t777.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (assume t777.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t777.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (step t777.t1 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t777.t2)
% 11.55/11.75 (assume t777.t2.a0 (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))
% 11.55/11.75 (assume t777.t2.a1 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t777.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t777.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t777.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)))
% 11.55/11.75 (assume t777.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))
% 11.55/11.75 (assume t777.t2.a6 (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))
% 11.55/11.75 (assume t777.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))
% 11.55/11.75 (assume t777.t2.a8 (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))
% 11.55/11.75 (assume t777.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))))
% 11.55/11.75 (assume t777.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.55/11.75 (assume t777.t2.a11 (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))))
% 11.55/11.75 (assume t777.t2.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.55/11.75 (assume t777.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.55/11.75 (step t777.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t777.t2.a13))
% 11.55/11.75 (step t777.t2.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t777.t2.t1))
% 11.55/11.75 (step t777.t2.t3 (cl (= (tptp.inverse tptp.sk_c10) (tptp.inverse tptp.sk_c10))) :rule refl)
% 11.55/11.75 (step t777.t2.t4 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.55/11.75 (step t777.t2.t5 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c11)) :rule symm :premises (t777.t2.a8))
% 11.55/11.75 (step t777.t2.t6 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule cong :premises (t777.t2.t4 t777.t2.t5))
% 11.55/11.75 (step t777.t2.t7 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t777.t2.t6))
% 11.55/11.75 (step t777.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.inverse tptp.sk_c1))) :rule symm :premises (t777.t2.a11))
% 11.55/11.75 (step t777.t2.t9 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t777.t2.t8))
% 11.55/11.75 (step t777.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t777.t2.a10))
% 11.55/11.75 (step t777.t2.t11 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t777.t2.t10))
% 11.55/11.75 (step t777.t2.t12 (cl (= (tptp.inverse tptp.sk_c1) (tptp.inverse tptp.sk_c1))) :rule refl)
% 11.55/11.75 (step t777.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule cong :premises (t777.t2.t11 t777.t2.t12))
% 11.55/11.75 (step t777.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)))) :rule symm :premises (t777.t2.a9))
% 11.55/11.75 (step t777.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule symm :premises (t777.t2.t14))
% 11.55/11.75 (step t777.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t777.t2.a6))
% 11.55/11.75 (step t777.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) tptp.sk_c10)) :rule trans :premises (t777.t2.t6 t777.t2.t16))
% 11.55/11.75 (step t777.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10))) :rule cong :premises (t777.t2.t12 t777.t2.t17))
% 11.55/11.75 (step t777.t2.t19 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.75 (step t777.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c10) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule cong :premises (t777.t2.t5 t777.t2.t19))
% 11.55/11.75 (step t777.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c11 tptp.sk_c10))) :rule trans :premises (t777.t2.t9 t777.t2.t13 t777.t2.t15 t777.t2.t18 t777.t2.t20))
% 11.55/11.75 (step t777.t2.t22 (cl (= (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule cong :premises (t777.t2.t4 t777.t2.t21))
% 11.55/11.75 (step t777.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10))) :rule symm :premises (t777.t2.a7))
% 11.55/11.75 (step t777.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule cong :premises (t777.t2.t16 t777.t2.t19))
% 11.55/11.75 (step t777.t2.t25 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) :rule trans :premises (t777.t2.a6 t777.t2.t7 t777.t2.t22 t777.t2.t23 t777.t2.t24))
% 11.55/11.75 (step t777.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule cong :premises (t777.t2.t3 t777.t2.t25))
% 11.55/11.75 (step t777.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t777.t2.a5))
% 11.55/11.75 (step t777.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.identity)) :rule symm :premises (t777.t2.a4))
% 11.55/11.75 (step t777.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule cong :premises (t777.t2.t28 t777.t2.a1))
% 11.55/11.75 (step t777.t2.t30 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t777.t2.a3))
% 11.55/11.75 (step t777.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t777.t2.a2))
% 11.55/11.75 (step t777.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity tptp.sk_c10))) :rule cong :premises (t777.t2.t31 t777.t2.t19))
% 11.55/11.75 (step t777.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t777.t2.a1))
% 11.55/11.75 (step t777.t2.t34 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c10)) :rule symm :premises (t777.t2.a0))
% 11.55/11.75 (step t777.t2.t35 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t777.t2.t34))
% 11.55/11.75 (step t777.t2.t36 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t777.t2.a4 t777.t2.t26 t777.t2.t27 t777.t2.t29 t777.t2.t30 t777.t2.t32 t777.t2.t33 t777.t2.t35))
% 11.55/11.75 (step t777.t2.t37 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule symm :premises (t777.t2.t36))
% 11.55/11.75 (step t777.t2.t38 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.55/11.75 (step t777.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t777.t2.t37 t777.t2.t38))
% 11.55/11.75 (step t777.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t777.t2.a12))
% 11.55/11.75 (step t777.t2.t41 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t777.t2.t2 t777.t2.t39 t777.t2.t40))
% 11.55/11.75 (step t777.t2.t42 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c2))) :rule cong :premises (t777.t2.t41))
% 11.55/11.75 (step t777.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t777.t2.t32))
% 11.55/11.75 (step t777.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t777.t2.t29))
% 11.55/11.75 (step t777.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule symm :premises (t777.t2.t26))
% 11.55/11.75 (step t777.t2.t46 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.55/11.75 (step t777.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule cong :premises (t777.t2.t46 t777.t2.t36))
% 11.55/11.75 (step t777.t2.t48 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule trans :premises (t777.t2.t42 t777.t2.t34 t777.t2.a1 t777.t2.t43 t777.t2.a3 t777.t2.t44 t777.t2.a5 t777.t2.t45 t777.t2.t28 t777.t2.a2 t777.t2.t47))
% 11.55/11.75 (step t777.t2 (cl (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t777.t2.a0 t777.t2.a1 t777.t2.a2 t777.t2.a3 t777.t2.a4 t777.t2.a5 t777.t2.a6 t777.t2.a7 t777.t2.a8 t777.t2.a9 t777.t2.a10 t777.t2.a11 t777.t2.a12 t777.t2.a13))
% 11.55/11.75 (step t777.t3 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t777.t4 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t777.t5 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t777.t6 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t777.t7 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t777.t8 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t777.t9 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t777.t10 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t777.t11 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t777.t12 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t777.t13 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t777.t14 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t777.t15 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t777.t16 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t777.t17 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t777.t2 t777.t3 t777.t4 t777.t5 t777.t6 t777.t7 t777.t8 t777.t9 t777.t10 t777.t11 t777.t12 t777.t13 t777.t14 t777.t15 t777.t16))
% 11.55/11.75 (step t777.t18 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t777.t17))
% 11.55/11.75 (step t777.t19 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t777.t18))
% 11.55/11.75 (step t777.t20 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t777.t1 t777.t19))
% 11.55/11.75 (step t777.t21 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.55/11.75 (step t777.t22 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t777.t20 t777.t21))
% 11.55/11.75 (step t777.t23 (cl (=> (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t777.t22))
% 11.55/11.75 (step t777.t24 (cl (not (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t777.t23))
% 11.55/11.75 (step t777.t25 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.55/11.75 (step t777.t26 (cl (and (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t777.t25 t777.a2 t777.a8 t777.a3 t777.a7 t777.a9 t777.a13 t777.a0 t777.a12 t777.a1 t777.a6 t777.a4 t777.a5 t777.a10 t777.a11))
% 11.55/11.75 (step t777.t27 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t777.t24 t777.t26))
% 11.55/11.75 (step t777 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule subproof :discharge (t777.a0 t777.a1 t777.a2 t777.a3 t777.a4 t777.a5 t777.a6 t777.a7 t777.a8 t777.a9 t777.a10 t777.a11 t777.a12 t777.a13))
% 11.55/11.75 (step t778 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) :rule and_pos)
% 11.55/11.75 (step t779 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t780 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t781 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.75 (step t782 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.55/11.75 (step t783 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) :rule and_pos)
% 11.55/11.75 (step t784 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) :rule and_pos)
% 11.55/11.75 (step t785 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t786 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t787 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) :rule and_pos)
% 11.55/11.75 (step t788 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t789 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.55/11.75 (step t790 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t791 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) :rule and_pos)
% 11.55/11.75 (step t792 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))))) :rule resolution :premises (t777 t778 t779 t780 t781 t782 t783 t784 t785 t786 t787 t788 t789 t790 t791))
% 11.55/11.75 (step t793 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule reordering :premises (t792))
% 11.55/11.75 (step t794 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t793))
% 11.55/11.75 (step t795 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t776 t794))
% 11.55/11.75 (step t796 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule implies_neg2)
% 11.55/11.75 (step t797 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t795 t796))
% 11.55/11.75 (step t798 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))) :rule contraction :premises (t797))
% 11.55/11.75 (step t799 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule implies :premises (t798))
% 11.55/11.75 (step t800 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (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_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t749 t799))
% 11.55/11.75 (step t801 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (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.inverse tptp.sk_c1) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.inverse tptp.sk_c1)) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (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_c1 tptp.sk_c11) tptp.sk_c10) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c11 tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c10) tptp.sk_c10) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c10) (tptp.multiply tptp.sk_c10 tptp.sk_c10))))) :rule reordering :premises (t800))
% 11.55/11.75 (step t802 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t803)
% 11.55/11.75 (assume t803.a0 (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))
% 11.55/11.75 (step t803.t1 (cl (or (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))))) :rule forall_inst :args ((:= X5 tptp.sk_c2) (:= X7 tptp.identity)))
% 11.55/11.75 (step t803.t2 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) :rule or :premises (t803.t1))
% 11.55/11.75 (step t803.t3 (cl (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t803.t2 t803.a0))
% 11.55/11.75 (step t803 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) :rule subproof :discharge (t803.a0))
% 11.55/11.75 (step t804 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t802 t803))
% 11.55/11.75 (step t805 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))))) :rule implies_neg2)
% 11.55/11.75 (step t806 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))))) :rule resolution :premises (t804 t805))
% 11.55/11.75 (step t807 (cl (=> (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2))))))) :rule contraction :premises (t806))
% 11.55/11.75 (step t808 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) (or (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c2 (tptp.inverse tptp.sk_c2)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c2) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c2)))))) :rule implies :premises (t807))
% 11.55/11.75 (step t809 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t15))
% 11.55/11.75 (step t810 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) :rule resolution :premises (t675 t704 t234 t242 t712 t720 t320 t328 t336 t344 t352 t360 t376 t748 t234 t242 t712 t720 t320 t328 t336 t344 t352 t360 t376 t775 t234 t242 t712 t720 t320 t328 t336 t344 t352 t360 t376 t801 t234 t242 t712 t720 t320 t328 t336 t344 t352 t360 t376 t808 t809 t431))
% 11.55/11.75 (step t811 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1)))))) :rule contraction :premises (t810))
% 11.55/11.75 (step t812 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t813)
% 11.55/11.75 (assume t813.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))
% 11.55/11.75 (step t813.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X4 tptp.sk_c2)))
% 11.55/11.75 (step t813.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t813.t1))
% 11.55/11.75 (step t813.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t813.t2 t813.a0))
% 11.55/11.75 (step t813 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t813.a0))
% 11.55/11.75 (step t814 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t812 t813))
% 11.55/11.75 (step t815 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 11.55/11.75 (step t816 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t814 t815))
% 11.55/11.75 (step t817 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t816))
% 11.55/11.75 (step t818 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t817))
% 11.55/11.75 (step t819 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 11.55/11.75 (step t820 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t819))
% 11.55/11.75 (step t821 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule hole :args ((forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (= X3 X1)))
% 11.55/11.75 (step t822 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule equiv2 :premises (t821))
% 11.55/11.75 (step t823 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t811 t818 t820 t822))
% 11.55/11.75 (step t824 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule contraction :premises (t823))
% 11.55/11.75 (step t825 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t826)
% 11.55/11.75 (assume t826.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))
% 11.55/11.75 (step t826.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.55/11.75 (step t826.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t826.t1))
% 11.55/11.75 (step t826.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t826.t2 t826.a0))
% 11.55/11.75 (step t826 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t826.a0))
% 11.55/11.75 (step t827 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t825 t826))
% 11.55/11.75 (step t828 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.55/11.75 (step t829 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t827 t828))
% 11.55/11.75 (step t830 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t829))
% 11.55/11.75 (step t831 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t830))
% 11.55/11.75 (step t832 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.55/11.75 (step t833 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t832))
% 11.55/11.75 (step t834 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t824 t831 t833))
% 11.55/11.75 (step t835 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t834))
% 11.55/11.75 (step t836 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t15))
% 11.55/11.75 (step t837 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t836 t431 t426 t429 t531 t234 t242 t539 t296 t304 t320 t328 t336 t344 t352 t360 t376))
% 11.55/11.75 (step t838 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (not (= tptp.sk_c11 (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t837))
% 11.55/11.75 (step t839 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t838 t622 t491 t234 t242 t499 t296 t304 t320 t328 t336 t344 t352 t360 t376 t459 t234 t242 t296 t304 t320 t328 t336 t344 t352 t360 t376 t648 t234 t242 t499 t320 t328 t336 t344 t352 t360 t376 t822))
% 11.55/11.75 (step t840 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t839))
% 11.55/11.75 (step t841 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.55/11.75 (step t842 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 11.55/11.75 (step t843 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t842 t403))
% 11.55/11.75 (step t844 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t841 t843 a44))
% 11.55/11.75 (step t845 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t844))
% 11.55/11.75 (step t846 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t845))
% 11.55/11.75 (step t847 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.55/11.75 (step t848 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t842 t397))
% 11.55/11.75 (step t849 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t847 t848 a45))
% 11.55/11.75 (step t850 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t849))
% 11.55/11.75 (step t851 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t850))
% 11.55/11.75 (step t852 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.55/11.75 (step t853 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t842 t391))
% 11.55/11.75 (step t854 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t852 t853 a46))
% 11.55/11.75 (step t855 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t854))
% 11.55/11.75 (step t856 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t855))
% 11.55/11.75 (step t857 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.55/11.75 (step t858 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c10) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t842 t64))
% 11.55/11.75 (step t859 (cl (or (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t857 t858 a43))
% 11.55/11.75 (step t860 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t859))
% 11.55/11.75 (step t861 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t860))
% 11.55/11.75 (step t862 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t840 t831 t833 t846 t851 t856 t861))
% 11.55/11.75 (step t863 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t862))
% 11.55/11.75 (step t864 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t863))
% 11.55/11.75 (step t865 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t673 t835 t864 t822))
% 11.55/11.75 (step t866 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t865))
% 11.55/11.75 (step t867 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t866 t831 t833))
% 11.55/11.75 (step t868 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t867))
% 11.55/11.75 (step t869 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t409 t868))
% 11.55/11.75 (step t870 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t869))
% 11.55/11.75 (step t871 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))) (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5))))))) :rule or :premises (t15))
% 11.55/11.75 (step t872 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule and_neg)
% 11.55/11.75 (step t873 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t874)
% 11.55/11.75 (assume t874.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.75 (assume t874.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.75 (assume t874.a2 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.75 (assume t874.a3 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.75 (assume t874.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t874.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.55/11.75 (assume t874.a6 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t874.a7 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t874.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t874.a9 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.75 (assume t874.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.75 (assume t874.a11 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.75 (assume t874.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.75 (assume t874.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.75 (assume t874.a14 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.75 (assume t874.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.75 (assume t874.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.75 (assume t874.a17 (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.75 (assume t874.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.75 (assume t874.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.75 (assume t874.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.75 (assume t874.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.75 (step t874.t1 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule implies_neg1)
% 11.55/11.75 (anchor :step t874.t2)
% 11.55/11.75 (assume t874.t2.a0 (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)))
% 11.55/11.75 (assume t874.t2.a1 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t874.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))
% 11.55/11.75 (assume t874.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))))
% 11.55/11.75 (assume t874.t2.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.75 (assume t874.t2.a5 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.75 (assume t874.t2.a6 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.75 (assume t874.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.75 (assume t874.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.75 (assume t874.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.75 (assume t874.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.75 (assume t874.t2.a11 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.75 (assume t874.t2.a12 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.75 (assume t874.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.75 (assume t874.t2.a14 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.75 (assume t874.t2.a15 (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.75 (assume t874.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.75 (assume t874.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.75 (assume t874.t2.a18 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.75 (assume t874.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.75 (assume t874.t2.a20 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.75 (assume t874.t2.a21 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.75 (step t874.t2.t1 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t874.t2.a21))
% 11.55/11.75 (step t874.t2.t2 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t874.t2.t1))
% 11.55/11.75 (step t874.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t874.t2.a20))
% 11.55/11.75 (step t874.t2.t4 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t874.t2.t3))
% 11.55/11.75 (step t874.t2.t5 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.55/11.75 (step t874.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule cong :premises (t874.t2.a13 t874.t2.t5))
% 11.55/11.75 (step t874.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t874.t2.a19))
% 11.55/11.75 (step t874.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule symm :premises (t874.t2.t7))
% 11.55/11.75 (step t874.t2.t9 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.55/11.75 (step t874.t2.t10 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t874.t2.a18))
% 11.55/11.75 (step t874.t2.t11 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t874.t2.t10))
% 11.55/11.75 (step t874.t2.t12 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule cong :premises (t874.t2.t11 t874.t2.t5))
% 11.55/11.75 (step t874.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t874.t2.a17))
% 11.55/11.76 (step t874.t2.t14 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.55/11.76 (step t874.t2.t15 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t874.t2.a12))
% 11.55/11.76 (step t874.t2.t16 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t874.t2.t15))
% 11.55/11.76 (step t874.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t874.t2.a10))
% 11.55/11.76 (step t874.t2.t18 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t874.t2.t17))
% 11.55/11.76 (step t874.t2.t19 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t874.t2.a11))
% 11.55/11.76 (step t874.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t874.t2.t18 t874.t2.t19))
% 11.55/11.76 (step t874.t2.t21 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t874.t2.t16 t874.t2.t20))
% 11.55/11.76 (step t874.t2.t22 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t874.t2.t14 t874.t2.t21))
% 11.55/11.76 (step t874.t2.t23 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t874.t2.a9))
% 11.55/11.76 (step t874.t2.t24 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t874.t2.a8))
% 11.55/11.76 (step t874.t2.t25 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t874.t2.a7))
% 11.55/11.76 (step t874.t2.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t874.t2.t25 t874.t2.a6))
% 11.55/11.76 (step t874.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t874.t2.a4))
% 11.55/11.76 (step t874.t2.t28 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t874.t2.t27))
% 11.55/11.76 (step t874.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t874.t2.a6))
% 11.55/11.76 (step t874.t2.t30 (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 (t874.t2.t28 t874.t2.t29))
% 11.55/11.76 (step t874.t2.t31 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.55/11.76 (step t874.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t874.t2.t27 t874.t2.t31))
% 11.55/11.76 (step t874.t2.t33 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t874.t2.t24 t874.t2.t26 t874.t2.t30 t874.t2.t32 t874.t2.t29))
% 11.55/11.76 (step t874.t2.t34 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.55/11.76 (step t874.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t874.t2.t33 t874.t2.t34))
% 11.55/11.76 (step t874.t2.t36 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t874.t2.a5))
% 11.55/11.76 (step t874.t2.t37 (cl (= (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c10)) :rule trans :premises (t874.t2.t12 t874.t2.t13 t874.t2.a7 t874.t2.t22 t874.t2.t23 t874.t2.t35 t874.t2.t36))
% 11.55/11.76 (step t874.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10))) :rule cong :premises (t874.t2.t9 t874.t2.t37))
% 11.55/11.76 (step t874.t2.t39 (cl (= tptp.sk_c5 (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10))) :rule trans :premises (t874.t2.t4 t874.t2.t6 t874.t2.t8 t874.t2.t38))
% 11.55/11.76 (step t874.t2.t40 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.55/11.76 (step t874.t2.t41 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule cong :premises (t874.t2.t39 t874.t2.t40))
% 11.55/11.76 (step t874.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule symm :premises (t874.t2.a16))
% 11.55/11.76 (step t874.t2.t43 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule symm :premises (t874.t2.t42))
% 11.55/11.76 (step t874.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t874.t2.a15))
% 11.55/11.76 (step t874.t2.t45 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t874.t2.t35))
% 11.55/11.76 (step t874.t2.t46 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t874.t2.t22))
% 11.55/11.76 (step t874.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)) tptp.identity)) :rule trans :premises (t874.t2.t44 t874.t2.t45 t874.t2.a9 t874.t2.t46 t874.t2.t25))
% 11.55/11.76 (step t874.t2.t48 (cl (= tptp.sk_c10 tptp.identity)) :rule trans :premises (t874.t2.a5 t874.t2.a15 t874.t2.t47))
% 11.55/11.76 (step t874.t2.t49 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c8) (tptp.multiply tptp.identity tptp.sk_c8))) :rule cong :premises (t874.t2.t48 t874.t2.t40))
% 11.55/11.76 (step t874.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t874.t2.a14))
% 11.55/11.76 (step t874.t2.t51 (cl (= (tptp.multiply tptp.sk_c10 tptp.sk_c8) tptp.sk_c8)) :rule trans :premises (t874.t2.t49 t874.t2.t50))
% 11.55/11.76 (step t874.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule cong :premises (t874.t2.t9 t874.t2.t51))
% 11.55/11.76 (step t874.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t874.t2.a13))
% 11.55/11.76 (step t874.t2.t54 (cl (= tptp.sk_c10 tptp.sk_c10)) :rule refl)
% 11.55/11.76 (step t874.t2.t55 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule cong :premises (t874.t2.t28 t874.t2.t54))
% 11.55/11.76 (step t874.t2.t56 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10))) :rule symm :premises (t874.t2.a3))
% 11.55/11.76 (step t874.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t874.t2.t56))
% 11.55/11.76 (step t874.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.identity)) :rule symm :premises (t874.t2.a2))
% 11.55/11.76 (step t874.t2.t59 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule symm :premises (t874.t2.t58))
% 11.55/11.76 (step t874.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c10) tptp.sk_c10)) :rule symm :premises (t874.t2.a0))
% 11.55/11.76 (step t874.t2.t61 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10))) :rule cong :premises (t874.t2.t59 t874.t2.t60))
% 11.55/11.76 (step t874.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10))) :rule symm :premises (t874.t2.a1))
% 11.55/11.76 (step t874.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule symm :premises (t874.t2.t62))
% 11.55/11.76 (step t874.t2.t64 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) :rule refl)
% 11.55/11.76 (step t874.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)) (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule cong :premises (t874.t2.t64 t874.t2.t60))
% 11.55/11.76 (step t874.t2.t66 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule trans :premises (t874.t2.t2 t874.t2.t41 t874.t2.t43 t874.t2.t52 t874.t2.t53 t874.t2.a7 t874.t2.t22 t874.t2.t23 t874.t2.t35 t874.t2.t36 t874.t2.a0 t874.t2.t55 t874.t2.t57 t874.t2.t61 t874.t2.t63 t874.t2.t65))
% 11.55/11.76 (step t874.t2 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule subproof :discharge (t874.t2.a0 t874.t2.a1 t874.t2.a2 t874.t2.a3 t874.t2.a4 t874.t2.a5 t874.t2.a6 t874.t2.a7 t874.t2.a8 t874.t2.a9 t874.t2.a10 t874.t2.a11 t874.t2.a12 t874.t2.a13 t874.t2.a14 t874.t2.a15 t874.t2.a16 t874.t2.a17 t874.t2.a18 t874.t2.a19 t874.t2.a20 t874.t2.a21))
% 11.55/11.76 (step t874.t3 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.76 (step t874.t4 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.76 (step t874.t5 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t874.t6 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.76 (step t874.t7 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t874.t8 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t874.t9 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t874.t10 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t874.t11 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t874.t12 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t874.t13 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t874.t14 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t874.t15 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t874.t16 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t874.t17 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t874.t18 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t874.t19 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.76 (step t874.t20 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t874.t21 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t874.t22 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.76 (step t874.t23 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t874.t24 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t874.t25 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule resolution :premises (t874.t2 t874.t3 t874.t4 t874.t5 t874.t6 t874.t7 t874.t8 t874.t9 t874.t10 t874.t11 t874.t12 t874.t13 t874.t14 t874.t15 t874.t16 t874.t17 t874.t18 t874.t19 t874.t20 t874.t21 t874.t22 t874.t23 t874.t24))
% 11.55/11.76 (step t874.t26 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule reordering :premises (t874.t25))
% 11.55/11.76 (step t874.t27 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule contraction :premises (t874.t26))
% 11.55/11.76 (step t874.t28 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule resolution :premises (t874.t1 t874.t27))
% 11.55/11.76 (step t874.t29 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.76 (step t874.t30 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule resolution :premises (t874.t28 t874.t29))
% 11.55/11.76 (step t874.t31 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule contraction :premises (t874.t30))
% 11.55/11.76 (step t874.t32 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule implies :premises (t874.t31))
% 11.55/11.76 (step t874.t33 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule and_neg)
% 11.55/11.76 (step t874.t34 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t874.t33 t874.a7 t874.a8 t874.a5 t874.a6 t874.a4 t874.a0 t874.a9 t874.a12 t874.a19 t874.a21 t874.a10 t874.a1 t874.a11 t874.a16 t874.a14 t874.a17 t874.a20 t874.a15 t874.a3 t874.a18 t874.a13 t874.a2))
% 11.55/11.76 (step t874.t35 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule resolution :premises (t874.t32 t874.t34))
% 11.55/11.76 (step t874 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule subproof :discharge (t874.a0 t874.a1 t874.a2 t874.a3 t874.a4 t874.a5 t874.a6 t874.a7 t874.a8 t874.a9 t874.a10 t874.a11 t874.a12 t874.a13 t874.a14 t874.a15 t874.a16 t874.a17 t874.a18 t874.a19 t874.a20 t874.a21))
% 11.55/11.76 (step t875 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t876 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t877 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t878 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t879 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t880 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t881 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.76 (step t882 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) :rule and_pos)
% 11.55/11.76 (step t883 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule and_pos)
% 11.55/11.76 (step t884 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t885 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t886 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t887 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t888 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t889 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t890 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t891 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t892 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t893 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.76 (step t894 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t895 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.76 (step t896 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t897 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))))) :rule resolution :premises (t874 t875 t876 t877 t878 t879 t880 t881 t882 t883 t884 t885 t886 t887 t888 t889 t890 t891 t892 t893 t894 t895 t896))
% 11.55/11.76 (step t898 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule reordering :premises (t897))
% 11.55/11.76 (step t899 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule contraction :premises (t898))
% 11.55/11.76 (step t900 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule resolution :premises (t873 t899))
% 11.55/11.76 (step t901 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule implies_neg2)
% 11.55/11.76 (step t902 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule resolution :premises (t900 t901))
% 11.55/11.76 (step t903 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)))) :rule contraction :premises (t902))
% 11.55/11.76 (step t904 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule implies :premises (t903))
% 11.55/11.76 (step t905 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule resolution :premises (t872 t904))
% 11.55/11.76 (step t906 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10)) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c10) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= tptp.sk_c10 (tptp.multiply tptp.identity tptp.sk_c10))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule reordering :premises (t905))
% 11.55/11.76 (step t907 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t908)
% 11.55/11.76 (assume t908.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.76 (step t908.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c3))) (:= Y (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (:= Z tptp.sk_c11)))
% 11.55/11.76 (step t908.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule or :premises (t908.t1))
% 11.55/11.76 (step t908.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule resolution :premises (t908.t2 t908.a0))
% 11.55/11.76 (step t908 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule subproof :discharge (t908.a0))
% 11.55/11.76 (step t909 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule resolution :premises (t907 t908))
% 11.55/11.76 (step t910 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.76 (step t911 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule resolution :premises (t909 t910))
% 11.55/11.76 (step t912 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule contraction :premises (t911))
% 11.55/11.76 (step t913 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule implies :premises (t912))
% 11.55/11.76 (step t914 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule resolution :premises (t913 a2))
% 11.55/11.76 (step t915 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t916)
% 11.55/11.76 (assume t916.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.76 (step t916.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.sk_c3))) (:= Y (tptp.inverse tptp.sk_c3)) (:= Z tptp.sk_c3)))
% 11.55/11.76 (step t916.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule or :premises (t916.t1))
% 11.55/11.76 (step t916.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t916.t2 t916.a0))
% 11.55/11.76 (step t916 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule subproof :discharge (t916.a0))
% 11.55/11.76 (step t917 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t915 t916))
% 11.55/11.76 (step t918 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule implies_neg2)
% 11.55/11.76 (step t919 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule resolution :premises (t917 t918))
% 11.55/11.76 (step t920 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))) :rule contraction :premises (t919))
% 11.55/11.76 (step t921 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies :premises (t920))
% 11.55/11.76 (step t922 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t921 a2))
% 11.55/11.76 (step t923 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t924)
% 11.55/11.76 (assume t924.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.76 (step t924.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.76 (step t924.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule or :premises (t924.t1))
% 11.55/11.76 (step t924.t3 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t924.t2 t924.a0))
% 11.55/11.76 (step t924 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t924.a0))
% 11.55/11.76 (step t925 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t923 t924))
% 11.55/11.76 (step t926 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.76 (step t927 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t925 t926))
% 11.55/11.76 (step t928 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t927))
% 11.55/11.76 (step t929 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t928))
% 11.55/11.76 (step t930 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t929 t271))
% 11.55/11.76 (step t931 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t932)
% 11.55/11.76 (assume t932.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.76 (step t932.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (step t932.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule or :premises (t932.t1))
% 11.55/11.76 (step t932.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t932.t2 t932.a0))
% 11.55/11.76 (step t932 (cl (not (forall ((X $$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 (t932.a0))
% 11.55/11.76 (step t933 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t931 t932))
% 11.55/11.76 (step t934 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.55/11.76 (step t935 (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 (t933 t934))
% 11.55/11.76 (step t936 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t935))
% 11.55/11.76 (step t937 (cl (not (forall ((X $$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 (t936))
% 11.55/11.76 (step t938 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t937 t252))
% 11.55/11.76 (step t939 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t940)
% 11.55/11.76 (assume t940.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.76 (step t940.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.55/11.76 (step t940.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t940.t1))
% 11.55/11.76 (step t940.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t940.t2 t940.a0))
% 11.55/11.76 (step t940 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t940.a0))
% 11.55/11.76 (step t941 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t939 t940))
% 11.55/11.76 (step t942 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 11.55/11.76 (step t943 (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 (t941 t942))
% 11.55/11.76 (step t944 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t943))
% 11.55/11.76 (step t945 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t944))
% 11.55/11.76 (step t946 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t945 t252))
% 11.55/11.76 (step t947 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t948)
% 11.55/11.76 (assume t948.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.55/11.76 (step t948.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.55/11.76 (step t948.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t948.t1))
% 11.55/11.76 (step t948.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t948.t2 t948.a0))
% 11.55/11.76 (step t948 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t948.a0))
% 11.55/11.76 (step t949 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t947 t948))
% 11.55/11.76 (step t950 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 11.55/11.76 (step t951 (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 (t949 t950))
% 11.55/11.76 (step t952 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t951))
% 11.55/11.76 (step t953 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t952))
% 11.55/11.76 (step t954 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t953 t271))
% 11.55/11.76 (step t955 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t956)
% 11.55/11.76 (assume t956.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.76 (step t956.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.identity)) (:= Y tptp.identity) (:= Z tptp.sk_c10)))
% 11.55/11.76 (step t956.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule or :premises (t956.t1))
% 11.55/11.76 (step t956.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t956.t2 t956.a0))
% 11.55/11.76 (step t956 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule subproof :discharge (t956.a0))
% 11.55/11.76 (step t957 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t955 t956))
% 11.55/11.76 (step t958 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))) :rule implies_neg2)
% 11.55/11.76 (step t959 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))) :rule resolution :premises (t957 t958))
% 11.55/11.76 (step t960 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10))))) :rule contraction :premises (t959))
% 11.55/11.76 (step t961 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule implies :premises (t960))
% 11.55/11.76 (step t962 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.identity) tptp.identity) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.identity) (tptp.multiply tptp.identity tptp.sk_c10)))) :rule resolution :premises (t961 a2))
% 11.55/11.76 (step t963 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t964)
% 11.55/11.76 (assume t964.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.55/11.76 (step t964.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.55/11.76 (step t964.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule or :premises (t964.t1))
% 11.55/11.76 (step t964.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t964.t2 t964.a0))
% 11.55/11.76 (step t964 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule subproof :discharge (t964.a0))
% 11.55/11.76 (step t965 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t963 t964))
% 11.55/11.76 (step t966 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule implies_neg2)
% 11.55/11.76 (step t967 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule resolution :premises (t965 t966))
% 11.55/11.76 (step t968 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity)))) :rule contraction :premises (t967))
% 11.55/11.76 (step t969 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule implies :premises (t968))
% 11.55/11.76 (step t970 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.identity) tptp.identity))) :rule resolution :premises (t969 t252))
% 11.55/11.76 (step t971 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule and_neg)
% 11.55/11.76 (step t972 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t973)
% 11.55/11.76 (assume t973.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.76 (assume t973.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.76 (assume t973.a2 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.76 (assume t973.a3 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.76 (assume t973.a4 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.76 (assume t973.a5 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.76 (assume t973.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.76 (assume t973.a7 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.76 (assume t973.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.76 (assume t973.a9 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t973.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.76 (assume t973.a11 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t973.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.76 (assume t973.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.76 (assume t973.a14 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.76 (assume t973.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.76 (assume t973.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.76 (assume t973.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.76 (assume t973.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.76 (assume t973.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.76 (assume t973.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.55/11.76 (assume t973.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.76 (step t973.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t973.t2)
% 11.55/11.76 (assume t973.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))))
% 11.55/11.76 (assume t973.t2.a1 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.76 (assume t973.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))))
% 11.55/11.76 (assume t973.t2.a3 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.55/11.76 (assume t973.t2.a4 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.76 (assume t973.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)))
% 11.55/11.76 (assume t973.t2.a6 (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))
% 11.55/11.76 (assume t973.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))
% 11.55/11.76 (assume t973.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)))
% 11.55/11.76 (assume t973.t2.a9 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.76 (assume t973.t2.a10 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.76 (assume t973.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.76 (assume t973.t2.a12 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))
% 11.55/11.76 (assume t973.t2.a13 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t973.t2.a14 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.76 (assume t973.t2.a15 (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))
% 11.55/11.76 (assume t973.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.76 (assume t973.t2.a17 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.76 (assume t973.t2.a18 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))
% 11.55/11.76 (assume t973.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.76 (assume t973.t2.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.76 (assume t973.t2.a21 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (step t973.t2.t1 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t973.t2.a1))
% 11.55/11.76 (step t973.t2.t2 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t973.t2.a21))
% 11.55/11.76 (step t973.t2.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t973.t2.t2 t973.t2.a4))
% 11.55/11.76 (step t973.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t973.t2.a17))
% 11.55/11.76 (step t973.t2.t5 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t973.t2.t4))
% 11.55/11.76 (step t973.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t973.t2.a4))
% 11.55/11.76 (step t973.t2.t7 (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 (t973.t2.t5 t973.t2.t6))
% 11.55/11.76 (step t973.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t973.t2.t5))
% 11.55/11.76 (step t973.t2.t9 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.55/11.76 (step t973.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t973.t2.t8 t973.t2.t9))
% 11.55/11.76 (step t973.t2.t11 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t973.t2.t1 t973.t2.t3 t973.t2.t7 t973.t2.t10 t973.t2.t6))
% 11.55/11.76 (step t973.t2.t12 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.55/11.76 (step t973.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t973.t2.t11 t973.t2.t12))
% 11.55/11.76 (step t973.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t973.t2.t13))
% 11.55/11.76 (step t973.t2.t15 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.55/11.76 (step t973.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t973.t2.a13))
% 11.55/11.76 (step t973.t2.t17 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t973.t2.t16))
% 11.55/11.76 (step t973.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t973.t2.a19))
% 11.55/11.76 (step t973.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t973.t2.t18))
% 11.55/11.76 (step t973.t2.t20 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t973.t2.a9))
% 11.55/11.76 (step t973.t2.t21 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t973.t2.t19 t973.t2.t20))
% 11.55/11.76 (step t973.t2.t22 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t973.t2.t17 t973.t2.t21))
% 11.55/11.76 (step t973.t2.t23 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t973.t2.t15 t973.t2.t22))
% 11.55/11.76 (step t973.t2.t24 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t973.t2.t23))
% 11.55/11.76 (step t973.t2.t25 (cl (= (tptp.inverse tptp.sk_c8) (tptp.inverse tptp.sk_c8))) :rule refl)
% 11.55/11.76 (step t973.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) tptp.sk_c8)) :rule symm :premises (t973.t2.a18))
% 11.55/11.76 (step t973.t2.t27 (cl (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule symm :premises (t973.t2.t26))
% 11.55/11.76 (step t973.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t973.t2.a20))
% 11.55/11.76 (step t973.t2.t29 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t973.t2.a10))
% 11.55/11.76 (step t973.t2.t30 (cl (= tptp.identity tptp.sk_c10)) :rule trans :premises (t973.t2.a21 t973.t2.t23 t973.t2.t28 t973.t2.t13 t973.t2.t29))
% 11.55/11.76 (step t973.t2.t31 (cl (= tptp.sk_c8 tptp.sk_c8)) :rule refl)
% 11.55/11.76 (step t973.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) :rule cong :premises (t973.t2.t30 t973.t2.t31))
% 11.55/11.76 (step t973.t2.t33 (cl (= tptp.sk_c8 (tptp.multiply tptp.sk_c10 tptp.sk_c8))) :rule trans :premises (t973.t2.t27 t973.t2.t32))
% 11.55/11.76 (step t973.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule cong :premises (t973.t2.t25 t973.t2.t33))
% 11.55/11.76 (step t973.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule symm :premises (t973.t2.a0))
% 11.55/11.76 (step t973.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule symm :premises (t973.t2.t35))
% 11.55/11.76 (step t973.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8))) :rule symm :premises (t973.t2.t36))
% 11.55/11.76 (step t973.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) tptp.identity)) :rule symm :premises (t973.t2.a5))
% 11.55/11.76 (step t973.t2.t39 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule symm :premises (t973.t2.t38))
% 11.55/11.76 (step t973.t2.t40 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t973.t2.a6))
% 11.55/11.76 (step t973.t2.t41 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule symm :premises (t973.t2.t40))
% 11.55/11.76 (step t973.t2.t42 (cl (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) :rule symm :premises (t973.t2.t41))
% 11.55/11.76 (step t973.t2.t43 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.55/11.76 (step t973.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule cong :premises (t973.t2.t42 t973.t2.t43))
% 11.55/11.76 (step t973.t2.t45 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) :rule trans :premises (t973.t2.a10 t973.t2.t14 t973.t2.a20 t973.t2.t24 t973.t2.t2 t973.t2.t39 t973.t2.t44))
% 11.55/11.76 (step t973.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule cong :premises (t973.t2.t25 t973.t2.t45))
% 11.55/11.76 (step t973.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t973.t2.a2))
% 11.55/11.76 (step t973.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule symm :premises (t973.t2.t47))
% 11.55/11.76 (step t973.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5))) :rule symm :premises (t973.t2.t48))
% 11.55/11.76 (step t973.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.identity)) :rule symm :premises (t973.t2.a8))
% 11.55/11.76 (step t973.t2.t51 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t973.t2.t50 t973.t2.t43))
% 11.55/11.76 (step t973.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t973.t2.a3))
% 11.55/11.76 (step t973.t2.t53 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t973.t2.t52))
% 11.55/11.76 (step t973.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t973.t2.t53))
% 11.55/11.76 (step t973.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c5)) :rule trans :premises (t973.t2.t46 t973.t2.t49 t973.t2.t51 t973.t2.t54))
% 11.55/11.76 (step t973.t2.t56 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule cong :premises (t973.t2.t55 t973.t2.t31))
% 11.55/11.76 (step t973.t2.t57 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t973.t2.a15))
% 11.55/11.76 (step t973.t2.t58 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule symm :premises (t973.t2.t57))
% 11.55/11.76 (step t973.t2.t59 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) :rule symm :premises (t973.t2.t58))
% 11.55/11.76 (step t973.t2.t60 (cl (= (tptp.inverse tptp.sk_c3) (tptp.inverse tptp.sk_c3))) :rule refl)
% 11.55/11.76 (step t973.t2.t61 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t973.t2.t19 t973.t2.t60))
% 11.55/11.76 (step t973.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t973.t2.a7))
% 11.55/11.76 (step t973.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule symm :premises (t973.t2.t62))
% 11.55/11.76 (step t973.t2.t64 (cl (= tptp.sk_c3 (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule symm :premises (t973.t2.t11))
% 11.55/11.76 (step t973.t2.t65 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule cong :premises (t973.t2.t64 t973.t2.t20))
% 11.55/11.76 (step t973.t2.t66 (cl (= (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule trans :premises (t973.t2.t65 t973.t2.a20 t973.t2.t24 t973.t2.t2))
% 11.55/11.76 (step t973.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity))) :rule cong :premises (t973.t2.t60 t973.t2.t66))
% 11.55/11.76 (step t973.t2.t68 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t973.t2.a16))
% 11.55/11.76 (step t973.t2.t69 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t973.t2.t68))
% 11.55/11.76 (step t973.t2.t70 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t973.t2.a14))
% 11.55/11.76 (step t973.t2.t71 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t973.t2.t70 t973.t2.a10 t973.t2.t14 t973.t2.a20 t973.t2.t24 t973.t2.t2))
% 11.55/11.76 (step t973.t2.t72 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.76 (step t973.t2.t73 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t973.t2.t71 t973.t2.t72))
% 11.55/11.76 (step t973.t2.t74 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t973.t2.a11))
% 11.55/11.76 (step t973.t2.t75 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t973.t2.t69 t973.t2.t73 t973.t2.t74))
% 11.55/11.76 (step t973.t2.t76 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule symm :premises (t973.t2.t71))
% 11.55/11.76 (step t973.t2.t77 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t973.t2.t75 t973.t2.t76))
% 11.55/11.76 (step t973.t2.t78 (cl (= (tptp.multiply tptp.sk_c4 (tptp.inverse tptp.sk_c4)) (tptp.multiply tptp.sk_c4 tptp.identity))) :rule cong :premises (t973.t2.t72 t973.t2.t71))
% 11.55/11.76 (step t973.t2.t79 (cl (= (tptp.multiply tptp.sk_c4 tptp.identity) (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule cong :premises (t973.t2.t72 t973.t2.t30))
% 11.55/11.76 (step t973.t2.t80 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) :rule symm :premises (t973.t2.a12))
% 11.55/11.76 (step t973.t2.t81 (cl (= tptp.identity tptp.sk_c9)) :rule trans :premises (t973.t2.t5 t973.t2.t77 t973.t2.t78 t973.t2.t79 t973.t2.t80))
% 11.55/11.76 (step t973.t2.t82 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.identity) (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule cong :premises (t973.t2.t20 t973.t2.t81))
% 11.55/11.76 (step t973.t2.t83 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule trans :premises (t973.t2.a10 t973.t2.t14 t973.t2.a20 t973.t2.t24 t973.t2.t2 t973.t2.a8 t973.t2.t34 t973.t2.t37 t973.t2.t56 t973.t2.t59 t973.t2.a9 t973.t2.t17 t973.t2.t61 t973.t2.t63 t973.t2.t67 t973.t2.t82))
% 11.55/11.76 (step t973.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (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_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule subproof :discharge (t973.t2.a0 t973.t2.a1 t973.t2.a2 t973.t2.a3 t973.t2.a4 t973.t2.a5 t973.t2.a6 t973.t2.a7 t973.t2.a8 t973.t2.a9 t973.t2.a10 t973.t2.a11 t973.t2.a12 t973.t2.a13 t973.t2.a14 t973.t2.a15 t973.t2.a16 t973.t2.a17 t973.t2.a18 t973.t2.a19 t973.t2.a20 t973.t2.a21))
% 11.55/11.76 (step t973.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.76 (step t973.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t973.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.76 (step t973.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t973.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t973.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t973.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t973.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.55/11.76 (step t973.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t973.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t973.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t973.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t973.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.76 (step t973.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t973.t17 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t973.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t973.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t973.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t973.t21 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t973.t22 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t973.t23 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t973.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= 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 and_pos)
% 11.55/11.76 (step t973.t25 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t973.t2 t973.t3 t973.t4 t973.t5 t973.t6 t973.t7 t973.t8 t973.t9 t973.t10 t973.t11 t973.t12 t973.t13 t973.t14 t973.t15 t973.t16 t973.t17 t973.t18 t973.t19 t973.t20 t973.t21 t973.t22 t973.t23 t973.t24))
% 11.55/11.76 (step t973.t26 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t973.t25))
% 11.55/11.76 (step t973.t27 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule contraction :premises (t973.t26))
% 11.55/11.76 (step t973.t28 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t973.t1 t973.t27))
% 11.55/11.76 (step t973.t29 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule implies_neg2)
% 11.55/11.76 (step t973.t30 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t973.t28 t973.t29))
% 11.55/11.76 (step t973.t31 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule contraction :premises (t973.t30))
% 11.55/11.76 (step t973.t32 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule implies :premises (t973.t31))
% 11.55/11.76 (step t973.t33 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (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_c5) tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule and_neg)
% 11.55/11.76 (step t973.t34 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= 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_c5) tptp.sk_c5)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t973.t33 t973.a19 t973.a18 t973.a17 t973.a13 t973.a7 t973.a15 t973.a5 t973.a20 t973.a16 t973.a1 t973.a0 t973.a10 t973.a2 t973.a9 t973.a3 t973.a4 t973.a12 t973.a6 t973.a14 t973.a8 t973.a21 t973.a11))
% 11.55/11.76 (step t973.t35 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t973.t32 t973.t34))
% 11.55/11.76 (step t973 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule subproof :discharge (t973.a0 t973.a1 t973.a2 t973.a3 t973.a4 t973.a5 t973.a6 t973.a7 t973.a8 t973.a9 t973.a10 t973.a11 t973.a12 t973.a13 t973.a14 t973.a15 t973.a16 t973.a17 t973.a18 t973.a19 t973.a20 t973.a21))
% 11.55/11.76 (step t974 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t975 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t976 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule and_pos)
% 11.55/11.76 (step t977 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t978 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t979 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t980 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t981 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t982 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t983 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t984 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t985 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t986 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t987 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t988 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t989 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) :rule and_pos)
% 11.55/11.76 (step t990 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) :rule and_pos)
% 11.55/11.76 (step t991 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) :rule and_pos)
% 11.55/11.76 (step t992 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t993 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) :rule and_pos)
% 11.55/11.76 (step t994 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule and_pos)
% 11.55/11.76 (step t995 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t996 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))))) :rule resolution :premises (t973 t974 t975 t976 t977 t978 t979 t980 t981 t982 t983 t984 t985 t986 t987 t988 t989 t990 t991 t992 t993 t994 t995))
% 11.55/11.76 (step t997 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule reordering :premises (t996))
% 11.55/11.76 (step t998 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule contraction :premises (t997))
% 11.55/11.76 (step t999 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t972 t998))
% 11.55/11.76 (step t1000 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule implies_neg2)
% 11.55/11.76 (step t1001 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule resolution :premises (t999 t1000))
% 11.55/11.76 (step t1002 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)))) :rule contraction :premises (t1001))
% 11.55/11.76 (step t1003 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule implies :premises (t1002))
% 11.55/11.76 (step t1004 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t971 t1003))
% 11.55/11.76 (step t1005 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9)) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c5) tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c8) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c8) tptp.sk_c10) tptp.sk_c8) (tptp.multiply (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c10 tptp.sk_c8)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule reordering :premises (t1004))
% 11.55/11.76 (step t1006 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1007)
% 11.55/11.76 (assume t1007.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.55/11.76 (step t1007.t1 (cl (or (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (step t1007.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t1007.t1))
% 11.55/11.76 (step t1007.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1007.t2 t1007.a0))
% 11.55/11.76 (step t1007 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t1007.a0))
% 11.55/11.76 (step t1008 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1006 t1007))
% 11.55/11.76 (step t1009 (cl (=> (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.55/11.76 (step t1010 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t1008 t1009))
% 11.55/11.76 (step t1011 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t1010))
% 11.55/11.76 (step t1012 (cl (not (forall ((X $$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.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t1011))
% 11.55/11.76 (step t1013 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1012 a2))
% 11.55/11.76 (step t1014 (cl (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule and_neg)
% 11.55/11.76 (step t1015 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1016)
% 11.55/11.76 (assume t1016.a0 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.76 (assume t1016.a1 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.76 (assume t1016.a2 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.76 (assume t1016.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.76 (assume t1016.a4 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.76 (assume t1016.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.76 (assume t1016.a6 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t1016.a7 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.76 (assume t1016.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t1016.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.76 (assume t1016.a10 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.76 (assume t1016.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.76 (assume t1016.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.76 (step t1016.t1 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1016.t2)
% 11.55/11.76 (assume t1016.t2.a0 (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))
% 11.55/11.76 (assume t1016.t2.a1 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.76 (assume t1016.t2.a2 (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.76 (step t1016.t2.t1 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse tptp.identity))) :rule symm :premises (t1016.t2.a2))
% 11.55/11.76 (step t1016.t2.t2 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t1016.t2.t1))
% 11.55/11.76 (step t1016.t2.t3 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t1016.t2.a1))
% 11.55/11.76 (step t1016.t2.t4 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t1016.t2.t3))
% 11.55/11.76 (step t1016.t2.t5 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t1016.t2.t4))
% 11.55/11.76 (step t1016.t2.t6 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule symm :premises (t1016.t2.a0))
% 11.55/11.76 (step t1016.t2.t7 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t1016.t2.t6))
% 11.55/11.76 (step t1016.t2.t8 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.inverse (tptp.inverse tptp.identity)))) :rule symm :premises (t1016.t2.t7))
% 11.55/11.76 (step t1016.t2.t9 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule trans :premises (t1016.t2.t2 t1016.t2.t5 t1016.t2.t8))
% 11.55/11.76 (step t1016.t2 (cl (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule subproof :discharge (t1016.t2.a0 t1016.t2.a1 t1016.t2.a2))
% 11.55/11.76 (step t1016.t3 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t1016.t4 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.76 (step t1016.t5 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.76 (step t1016.t6 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))) (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))))) :rule resolution :premises (t1016.t2 t1016.t3 t1016.t4 t1016.t5))
% 11.55/11.76 (step t1016.t7 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule reordering :premises (t1016.t6))
% 11.55/11.76 (step t1016.t8 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule contraction :premises (t1016.t7))
% 11.55/11.76 (step t1016.t9 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t1016.t1 t1016.t8))
% 11.55/11.76 (step t1016.t10 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.76 (step t1016.t11 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule resolution :premises (t1016.t9 t1016.t10))
% 11.55/11.76 (step t1016.t12 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule contraction :premises (t1016.t11))
% 11.55/11.76 (step t1016.t13 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule implies :premises (t1016.t12))
% 11.55/11.76 (step t1016.t14 (cl (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule and_neg)
% 11.55/11.76 (step t1016.t15 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1016.t16)
% 11.55/11.76 (assume t1016.t16.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t16.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.76 (assume t1016.t16.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t1016.t16.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.76 (assume t1016.t16.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.76 (assume t1016.t16.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t16.a6 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t16.a7 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t1016.t16.a8 (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))
% 11.55/11.76 (assume t1016.t16.a9 (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))
% 11.55/11.76 (assume t1016.t16.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.55/11.76 (assume t1016.t16.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.55/11.76 (step t1016.t16.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1016.t16.a11))
% 11.55/11.76 (step t1016.t16.t2 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1016.t16.t1))
% 11.55/11.76 (step t1016.t16.t3 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) :rule symm :premises (t1016.t16.a9))
% 11.55/11.76 (step t1016.t16.t4 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) :rule symm :premises (t1016.t16.a8))
% 11.55/11.76 (step t1016.t16.t5 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule symm :premises (t1016.t16.t4))
% 11.55/11.76 (step t1016.t16.t6 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1016.t16.a3))
% 11.55/11.76 (step t1016.t16.t7 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1016.t16.a2))
% 11.55/11.76 (step t1016.t16.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t1016.t16.t7 t1016.t16.a0))
% 11.55/11.76 (step t1016.t16.t9 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1016.t16.a1))
% 11.55/11.76 (step t1016.t16.t10 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t1016.t16.t9))
% 11.55/11.76 (step t1016.t16.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t1016.t16.a0))
% 11.55/11.76 (step t1016.t16.t12 (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 (t1016.t16.t10 t1016.t16.t11))
% 11.55/11.76 (step t1016.t16.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1016.t16.t10))
% 11.55/11.76 (step t1016.t16.t14 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.55/11.76 (step t1016.t16.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t1016.t16.t13 t1016.t16.t14))
% 11.55/11.76 (step t1016.t16.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t1016.t16.t6 t1016.t16.t8 t1016.t16.t12 t1016.t16.t15 t1016.t16.t11))
% 11.55/11.76 (step t1016.t16.t17 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.55/11.76 (step t1016.t16.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t1016.t16.t16 t1016.t16.t17))
% 11.55/11.76 (step t1016.t16.t19 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t1016.t16.t18))
% 11.55/11.76 (step t1016.t16.t20 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.55/11.76 (step t1016.t16.t21 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1016.t16.a7))
% 11.55/11.76 (step t1016.t16.t22 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1016.t16.t21))
% 11.55/11.76 (step t1016.t16.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1016.t16.a5))
% 11.55/11.76 (step t1016.t16.t24 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1016.t16.t23))
% 11.55/11.76 (step t1016.t16.t25 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t1016.t16.a6))
% 11.55/11.76 (step t1016.t16.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t1016.t16.t24 t1016.t16.t25))
% 11.55/11.76 (step t1016.t16.t27 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t1016.t16.t22 t1016.t16.t26))
% 11.55/11.76 (step t1016.t16.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t1016.t16.t20 t1016.t16.t27))
% 11.55/11.76 (step t1016.t16.t29 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1016.t16.t28))
% 11.55/11.76 (step t1016.t16.t30 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t1016.t16.t3 t1016.t16.t5 t1016.t16.t19 t1016.t16.a4 t1016.t16.t29 t1016.t16.t7))
% 11.55/11.76 (step t1016.t16.t31 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.55/11.76 (step t1016.t16.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t1016.t16.t30 t1016.t16.t31))
% 11.55/11.76 (step t1016.t16.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t1016.t16.a10))
% 11.55/11.76 (step t1016.t16.t34 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t1016.t16.t2 t1016.t16.t32 t1016.t16.t33))
% 11.55/11.76 (step t1016.t16.t35 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c4))) :rule cong :premises (t1016.t16.t34))
% 11.55/11.76 (step t1016.t16.t36 (cl (= (tptp.inverse tptp.identity) tptp.identity)) :rule trans :premises (t1016.t16.t35 t1016.t16.t3 t1016.t16.t5 t1016.t16.t19 t1016.t16.a4 t1016.t16.t29 t1016.t16.t7))
% 11.55/11.76 (step t1016.t16.t37 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse tptp.identity))) :rule cong :premises (t1016.t16.t36))
% 11.55/11.76 (step t1016.t16.t38 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t1016.t16.a4))
% 11.55/11.76 (step t1016.t16.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t1016.t16.a2 t1016.t16.t28 t1016.t16.t38 t1016.t16.t18))
% 11.55/11.76 (step t1016.t16.t40 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t1016.t16.t39))
% 11.55/11.76 (step t1016.t16.t41 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule trans :premises (t1016.t16.t37 t1016.t16.t40))
% 11.55/11.76 (step t1016.t16 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule subproof :discharge (t1016.t16.a0 t1016.t16.a1 t1016.t16.a2 t1016.t16.a3 t1016.t16.a4 t1016.t16.a5 t1016.t16.a6 t1016.t16.a7 t1016.t16.a8 t1016.t16.a9 t1016.t16.a10 t1016.t16.a11))
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t1016.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1016.t29 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t1016.t16 t1016.t17 t1016.t18 t1016.t19 t1016.t20 t1016.t21 t1016.t22 t1016.t23 t1016.t24 t1016.t25 t1016.t26 t1016.t27 t1016.t28))
% 11.55/11.76 (step t1016.t30 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule reordering :premises (t1016.t29))
% 11.55/11.76 (step t1016.t31 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule contraction :premises (t1016.t30))
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t1016.t15 t1016.t31))
% 11.55/11.76 (step t1016.t33 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies_neg2)
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (=> (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t1016.t32 t1016.t33))
% 11.55/11.76 (step t1016.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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t1016.t34))
% 11.55/11.76 (step t1016.t36 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule implies :premises (t1016.t35))
% 11.55/11.76 (step t1016.t37 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 11.55/11.76 (step t1016.t38 (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t1016.t37 t1016.a4 t1016.a3 t1016.a8 t1016.a11 t1016.a12 t1016.a5 t1016.a1 t1016.a6 t1016.a0 t1016.a2 t1016.a7 t1016.a9))
% 11.55/11.76 (step t1016.t39 (cl (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t1016.t36 t1016.t38))
% 11.55/11.76 (step t1016.t40 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1016.t41)
% 11.55/11.76 (assume t1016.t41.a0 (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))
% 11.55/11.76 (assume t1016.t41.a1 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t41.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.55/11.76 (assume t1016.t41.a3 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (assume t1016.t41.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))))
% 11.55/11.76 (assume t1016.t41.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))
% 11.55/11.76 (assume t1016.t41.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t41.a7 (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))
% 11.55/11.76 (assume t1016.t41.a8 (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))
% 11.55/11.76 (step t1016.t41.t1 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule refl)
% 11.55/11.76 (step t1016.t41.t2 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1016.t41.a8))
% 11.55/11.76 (step t1016.t41.t3 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1016.t41.t2))
% 11.55/11.76 (step t1016.t41.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1016.t41.a6))
% 11.55/11.76 (step t1016.t41.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1016.t41.t4))
% 11.55/11.76 (step t1016.t41.t6 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) :rule symm :premises (t1016.t41.a7))
% 11.55/11.76 (step t1016.t41.t7 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule cong :premises (t1016.t41.t5 t1016.t41.t6))
% 11.55/11.76 (step t1016.t41.t8 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) :rule trans :premises (t1016.t41.t3 t1016.t41.t7))
% 11.55/11.76 (step t1016.t41.t9 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule cong :premises (t1016.t41.t1 t1016.t41.t8))
% 11.55/11.76 (step t1016.t41.t10 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11))) :rule symm :premises (t1016.t41.a5))
% 11.55/11.76 (step t1016.t41.t11 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3))) :rule symm :premises (t1016.t41.a4))
% 11.55/11.76 (step t1016.t41.t12 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1016.t41.a3))
% 11.55/11.76 (step t1016.t41.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t1016.t41.t12 t1016.t41.a1))
% 11.55/11.76 (step t1016.t41.t14 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1016.t41.a2))
% 11.55/11.76 (step t1016.t41.t15 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t1016.t41.t14))
% 11.55/11.76 (step t1016.t41.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t1016.t41.a1))
% 11.55/11.76 (step t1016.t41.t17 (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 (t1016.t41.t15 t1016.t41.t16))
% 11.55/11.76 (step t1016.t41.t18 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1016.t41.t15))
% 11.55/11.76 (step t1016.t41.t19 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.55/11.76 (step t1016.t41.t20 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t1016.t41.t18 t1016.t41.t19))
% 11.55/11.76 (step t1016.t41.t21 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c3)) :rule trans :premises (t1016.t41.t11 t1016.t41.t13 t1016.t41.t17 t1016.t41.t20 t1016.t41.t16))
% 11.55/11.76 (step t1016.t41.t22 (cl (= tptp.sk_c11 tptp.sk_c11)) :rule refl)
% 11.55/11.76 (step t1016.t41.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule cong :premises (t1016.t41.t21 t1016.t41.t22))
% 11.55/11.76 (step t1016.t41.t24 (cl (= tptp.identity (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule trans :premises (t1016.t41.a3 t1016.t41.t9 t1016.t41.t10 t1016.t41.t23))
% 11.55/11.76 (step t1016.t41.t25 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule cong :premises (t1016.t41.t24))
% 11.55/11.76 (step t1016.t41.t26 (cl (= (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule symm :premises (t1016.t41.a0))
% 11.55/11.76 (step t1016.t41.t27 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule symm :premises (t1016.t41.t26))
% 11.55/11.76 (step t1016.t41.t28 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule trans :premises (t1016.t41.t25 t1016.t41.t27))
% 11.55/11.76 (step t1016.t41 (cl (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule subproof :discharge (t1016.t41.a0 t1016.t41.a1 t1016.t41.a2 t1016.t41.a3 t1016.t41.a4 t1016.t41.a5 t1016.t41.a6 t1016.t41.a7 t1016.t41.a8))
% 11.55/11.76 (step t1016.t42 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.76 (step t1016.t43 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.t44 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t1016.t45 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.t46 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.t47 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t1016.t48 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.t49 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1016.t50 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1016.t51 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t1016.t41 t1016.t42 t1016.t43 t1016.t44 t1016.t45 t1016.t46 t1016.t47 t1016.t48 t1016.t49 t1016.t50))
% 11.55/11.76 (step t1016.t52 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule reordering :premises (t1016.t51))
% 11.55/11.76 (step t1016.t53 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule contraction :premises (t1016.t52))
% 11.55/11.76 (step t1016.t54 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t1016.t40 t1016.t53))
% 11.55/11.76 (step t1016.t55 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule implies_neg2)
% 11.55/11.76 (step t1016.t56 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t1016.t54 t1016.t55))
% 11.55/11.76 (step t1016.t57 (cl (=> (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule contraction :premises (t1016.t56))
% 11.55/11.76 (step t1016.t58 (cl (not (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule implies :premises (t1016.t57))
% 11.55/11.76 (step t1016.t59 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule and_neg)
% 11.55/11.76 (step t1016.t60 (cl (and (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= 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.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1016.t59 t1016.a10 t1016.a4 t1016.a3 t1016.a8 t1016.a11 t1016.a12 t1016.a5 t1016.a1 t1016.a6))
% 11.55/11.76 (step t1016.t61 (cl (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule resolution :premises (t1016.t58 t1016.t60))
% 11.55/11.76 (step t1016.t62 (cl (and (= (tptp.inverse (tptp.inverse tptp.identity)) (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))))) :rule resolution :premises (t1016.t14 t1016.t39 t1016.a10 t1016.t61))
% 11.55/11.76 (step t1016.t63 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t1016.t13 t1016.t62))
% 11.55/11.76 (step t1016 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule subproof :discharge (t1016.a0 t1016.a1 t1016.a2 t1016.a3 t1016.a4 t1016.a5 t1016.a6 t1016.a7 t1016.a8 t1016.a9 t1016.a10 t1016.a11 t1016.a12))
% 11.55/11.76 (step t1017 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule and_pos)
% 11.55/11.76 (step t1018 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1019 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1020 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.55/11.76 (step t1021 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1022 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.55/11.76 (step t1023 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1024 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1025 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1026 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.55/11.76 (step t1027 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule and_pos)
% 11.55/11.76 (step t1028 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule and_pos)
% 11.55/11.76 (step t1029 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) :rule and_pos)
% 11.55/11.76 (step t1030 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))))) :rule resolution :premises (t1016 t1017 t1018 t1019 t1020 t1021 t1022 t1023 t1024 t1025 t1026 t1027 t1028 t1029))
% 11.55/11.76 (step t1031 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule reordering :premises (t1030))
% 11.55/11.76 (step t1032 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule contraction :premises (t1031))
% 11.55/11.76 (step t1033 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t1015 t1032))
% 11.55/11.76 (step t1034 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 11.55/11.76 (step t1035 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule resolution :premises (t1033 t1034))
% 11.55/11.76 (step t1036 (cl (=> (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))))) :rule contraction :premises (t1035))
% 11.55/11.76 (step t1037 (cl (not (and (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule implies :premises (t1036))
% 11.55/11.76 (step t1038 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11)))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t1014 t1037))
% 11.55/11.76 (step t1039 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (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.inverse tptp.sk_c3) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (tptp.multiply tptp.identity (tptp.inverse (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.sk_c3) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) tptp.sk_c11) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c11))))) :rule reordering :premises (t1038))
% 11.55/11.76 (step t1040 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule resolution :premises (t23 t25 t368 t871 t906 t914 t218 t922 t226 t930 t253 t261 t272 t280 t938 t312 t946 t954 t962 t328 t336 t970 t376 t1005 t914 t1013 t218 t922 t226 t253 t261 t272 t280 t296 t938 t304 t312 t946 t954 t376 t61 t914 t218 t922 t226 t499 t930 t253 t261 t272 t280 t296 t938 t304 t312 t946 t954 t368 t376 t1039 t914 t922 t499 t296 t938 t304 t312 t946 t954 t376 t431 t822))
% 11.55/11.76 (step t1041 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t1040))
% 11.55/11.76 (step t1042 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1043)
% 11.55/11.76 (assume t1043.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))
% 11.55/11.76 (step t1043.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule forall_inst :args ((:= X4 tptp.sk_c4)))
% 11.55/11.76 (step t1043.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule or :premises (t1043.t1))
% 11.55/11.76 (step t1043.t3 (cl (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t1043.t2 t1043.a0))
% 11.55/11.76 (step t1043 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule subproof :discharge (t1043.a0))
% 11.55/11.76 (step t1044 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t1042 t1043))
% 11.55/11.76 (step t1045 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule implies_neg2)
% 11.55/11.76 (step t1046 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t1044 t1045))
% 11.55/11.76 (step t1047 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule contraction :premises (t1046))
% 11.55/11.76 (step t1048 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4)))))) (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule implies :premises (t1047))
% 11.55/11.76 (step t1049 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.55/11.76 (anchor :step t1050)
% 11.55/11.76 (assume t1050.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))
% 11.55/11.76 (step t1050.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 11.55/11.76 (step t1050.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t1050.t1))
% 11.55/11.76 (step t1050.t3 (cl (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1050.t2 t1050.a0))
% 11.55/11.76 (step t1050 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t1050.a0))
% 11.55/11.76 (step t1051 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t1049 t1050))
% 11.55/11.76 (step t1052 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.55/11.76 (step t1053 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t1051 t1052))
% 11.55/11.76 (step t1054 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t1053))
% 11.55/11.76 (step t1055 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3)))))) (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t1054))
% 11.55/11.76 (step t1056 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule or_pos)
% 11.55/11.76 (step t1057 (cl (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule reordering :premises (t1056))
% 11.55/11.76 (step t1058 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 11.55/11.76 (step t1059 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t1058))
% 11.55/11.76 (step t1060 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1041 t1048 t1055 t1057 t1059))
% 11.55/11.76 (step t1061 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t1060))
% 11.55/11.76 (step t1062 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule equiv_pos2)
% 11.55/11.76 (step t1063 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.55/11.76 (step t1064 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c3 tptp.sk_c11) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))))) :rule cong :premises (t1063 t64))
% 11.55/11.76 (step t1065 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)))) :rule resolution :premises (t1062 t1064 a13))
% 11.55/11.76 (step t1066 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule or :premises (t1065))
% 11.55/11.76 (step t1067 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1066))
% 11.55/11.76 (step t1068 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.55/11.76 (step t1069 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t1063 t385))
% 11.55/11.76 (step t1070 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t1068 t1069 a17))
% 11.55/11.76 (step t1071 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t1070))
% 11.55/11.76 (step t1072 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1071))
% 11.55/11.76 (step t1073 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.55/11.76 (step t1074 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t1063 t379))
% 11.55/11.76 (step t1075 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t1073 t1074 a18))
% 11.55/11.76 (step t1076 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t1075))
% 11.55/11.76 (step t1077 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1076))
% 11.55/11.76 (step t1078 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.55/11.76 (step t1079 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t1063 t391))
% 11.55/11.76 (step t1080 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1078 t1079 a16))
% 11.55/11.76 (step t1081 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1080))
% 11.55/11.76 (step t1082 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1081))
% 11.55/11.76 (step t1083 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.55/11.76 (step t1084 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t1063 t397))
% 11.55/11.76 (step t1085 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t1083 t1084 a15))
% 11.55/11.76 (step t1086 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t1085))
% 11.55/11.76 (step t1087 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1086))
% 11.55/11.76 (step t1088 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.55/11.76 (step t1089 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c11) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t1063 t403))
% 11.55/11.76 (step t1090 (cl (or (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1088 t1089 a14))
% 11.55/11.76 (step t1091 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1090))
% 11.55/11.76 (step t1092 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t1091))
% 11.55/11.76 (step t1093 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t1061 t1067 t1072 t1077 t1082 t1087 t1092))
% 11.55/11.76 (step t1094 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t1093))
% 11.55/11.76 (step t1095 (cl (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)))) :rule resolution :premises (t870 t1094))
% 11.55/11.76 (step t1096 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) :rule resolution :premises (t67 t1095))
% 11.55/11.76 (step t1097 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.55/11.76 (step t1098 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c3) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t63 t403))
% 11.55/11.76 (step t1099 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1097 t1098 a4))
% 11.55/11.76 (step t1100 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1099))
% 11.55/11.76 (step t1101 (cl (= tptp.sk_c11 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1100 t1095))
% 11.55/11.76 (step t1102 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.55/11.76 (step t1103 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c4) tptp.sk_c10)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t63 t391))
% 11.55/11.76 (step t1104 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1102 t1103 a6))
% 11.55/11.76 (step t1105 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1104))
% 11.55/11.76 (step t1106 (cl (= tptp.sk_c10 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t1105 t1095))
% 11.55/11.76 (step t1107 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule equiv_pos2)
% 11.55/11.76 (step t1108 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c5 tptp.sk_c8) tptp.sk_c11)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) :rule cong :premises (t63 t385))
% 11.55/11.76 (step t1109 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8)))) :rule resolution :premises (t1107 t1108 a7))
% 11.55/11.76 (step t1110 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule or :premises (t1109))
% 11.55/11.76 (step t1111 (cl (= tptp.sk_c11 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) :rule resolution :premises (t1110 t1095))
% 11.55/11.76 (step t1112 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule equiv_pos2)
% 11.55/11.76 (step t1113 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.inverse tptp.sk_c5) tptp.sk_c8)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))))) :rule cong :premises (t63 t379))
% 11.55/11.76 (step t1114 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5)))) :rule resolution :premises (t1112 t1113 a8))
% 11.55/11.76 (step t1115 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule or :premises (t1114))
% 11.55/11.76 (step t1116 (cl (= tptp.sk_c8 (tptp.inverse tptp.sk_c5))) :rule resolution :premises (t1115 t1095))
% 11.55/11.76 (step t1117 (cl (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t61 t1096 t1101 t1106 t1111 t1116 t368 t376 t954 t946 t312 t304 t938 t296 t280 t272 t261 t253 t930 t499 t226 t922 t218 t914))
% 11.55/11.76 (step t1118 (cl (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) :rule resolution :premises (t906 t1096 t1101 t1111 t1116 t376 t970 t336 t328 t962 t954 t946 t312 t938 t280 t272 t261 t253 t930 t226 t922 t218 t914))
% 11.55/11.76 (step t1119 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) :rule resolution :premises (t1039 t1096 t1101 t1106 t376 t954 t946 t312 t304 t938 t296 t499 t922 t914))
% 11.55/11.76 (step t1120 (cl (not (or (not (= tptp.sk_c11 (tptp.multiply tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse tptp.identity) tptp.sk_c10))) (not (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.multiply tptp.identity (tptp.inverse tptp.identity))))))) :rule resolution :premises (t25 t1117 t1118 t1119 t368))
% 11.55/11.76 (step t1121 (cl (not (forall ((X5 $$unsorted) (X7 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.multiply X5 (tptp.inverse X5)))) (not (= tptp.sk_c11 (tptp.multiply (tptp.inverse X5) tptp.sk_c10))) (not (= (tptp.inverse X5) (tptp.inverse (tptp.inverse X7)))) (not (= (tptp.inverse X7) (tptp.multiply X7 (tptp.inverse X5)))))))) :rule resolution :premises (t23 t1120))
% 11.55/11.76 (step t1122 (cl (not (or (not (= tptp.sk_c10 (tptp.multiply tptp.sk_c3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t1059 t1096 t1101))
% 11.55/11.76 (step t1123 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X3 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X3))))))) :rule resolution :premises (t1055 t1122))
% 11.55/11.76 (step t1124 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) :rule resolution :premises (t822 t1123))
% 11.55/11.76 (step t1125 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9))) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule equiv_pos2)
% 11.55/11.76 (step t1126 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c11) tptp.sk_c10) (= (tptp.multiply tptp.sk_c4 tptp.sk_c10) tptp.sk_c9)) (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))))) :rule cong :premises (t63 t397))
% 11.55/11.76 (step t1127 (cl (or (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10)))) :rule resolution :premises (t1125 t1126 a5))
% 11.55/11.76 (step t1128 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c1 tptp.sk_c11)) (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule or :premises (t1127))
% 11.55/11.76 (step t1129 (cl (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) :rule resolution :premises (t1128 t1095))
% 11.55/11.76 (step t1130 (cl (= tptp.sk_c10 (tptp.multiply tptp.sk_c11 tptp.sk_c9))) :rule resolution :premises (t1005 t1096 t1101 t1129 t1106 t1111 t1116 t376 t954 t946 t312 t304 t938 t296 t280 t272 t261 t253 t226 t922 t218 t1013 t914))
% 11.55/11.76 (step t1131 (cl (not (or (not (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse tptp.sk_c4)))))) :rule resolution :premises (t1057 t1129 t1106))
% 11.55/11.76 (step t1132 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X4))))))) :rule resolution :premises (t1048 t1131))
% 11.55/11.76 (step t1133 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) :rule resolution :premises (t431 t1132))
% 11.55/11.76 (step t1134 (cl) :rule resolution :premises (t16 t1121 t1124 t1123 t1130 t1133 t1132))
% 11.55/11.76
% 11.55/11.76 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.eep9diWOQ2/cvc5---1.0.5_12626.smt2
% 11.55/11.77 % cvc5---1.0.5 exiting
% 11.55/11.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------