TSTP Solution File: GRP315-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n027.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 16:54:17 EDT 2024
% Result : Unsatisfiable 10.61s 10.93s
% Output : Proof 10.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% 0.09/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 26 18:01:53 EDT 2024
% 0.15/0.32 % CPUTime :
% 0.15/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.50/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.61/10.93 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.BOejS76szB/cvc5---1.0.5_6031.smt2
% 10.61/10.93 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.BOejS76szB/cvc5---1.0.5_6031.smt2
% 10.61/11.19 (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 10.61/11.19 (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 10.61/11.19 (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.19 (assume a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))
% 10.61/11.19 (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 10.61/11.19 (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume a6 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 10.61/11.19 (assume a7 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 10.61/11.19 (assume a8 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 10.61/11.19 (assume a9 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume a10 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 10.61/11.19 (assume a11 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 10.61/11.19 (assume a12 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 10.61/11.19 (assume a13 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume a14 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 10.61/11.19 (assume a15 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 10.61/11.19 (assume a16 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 10.61/11.19 (assume a17 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume a18 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 10.61/11.19 (assume a19 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 10.61/11.19 (assume a20 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))))
% 10.61/11.19 (step t1 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) (not (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6))))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))) :rule equiv_pos2)
% 10.61/11.19 (anchor :step t2 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2)))
% 10.61/11.19 (step t2.t1 (cl (= X3 X3)) :rule refl)
% 10.61/11.19 (step t2.t2 (cl (= X4 X4)) :rule refl)
% 10.61/11.19 (step t2.t3 (cl (= X1 X1)) :rule refl)
% 10.61/11.19 (step t2.t4 (cl (= X2 X2)) :rule refl)
% 10.61/11.19 (step t2.t5 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule all_simplify)
% 10.61/11.19 (step t2.t6 (cl (= (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t2.t5))
% 10.61/11.19 (step t2.t7 (cl (= (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7)))) :rule all_simplify)
% 10.61/11.19 (step t2.t8 (cl (= (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))))) :rule cong :premises (t2.t7))
% 10.61/11.19 (step t2.t9 (cl (= (= (tptp.inverse X3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X3)))) :rule all_simplify)
% 10.61/11.19 (step t2.t10 (cl (= (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X3))))) :rule cong :premises (t2.t9))
% 10.61/11.19 (step t2.t11 (cl (= (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6)))) :rule all_simplify)
% 10.61/11.19 (step t2.t12 (cl (= (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))))) :rule cong :premises (t2.t11))
% 10.61/11.19 (step t2.t13 (cl (= (= (tptp.inverse X4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X4)))) :rule all_simplify)
% 10.61/11.19 (step t2.t14 (cl (= (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X4))))) :rule cong :premises (t2.t13))
% 10.61/11.19 (step t2.t15 (cl (= (= (tptp.inverse X1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X1)))) :rule all_simplify)
% 10.61/11.19 (step t2.t16 (cl (= (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X1))))) :rule cong :premises (t2.t15))
% 10.61/11.19 (step t2.t17 (cl (= (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))) :rule all_simplify)
% 10.61/11.19 (step t2.t18 (cl (= (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) :rule cong :premises (t2.t17))
% 10.61/11.19 (step t2.t19 (cl (= (= (tptp.inverse X2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X2)))) :rule all_simplify)
% 10.61/11.19 (step t2.t20 (cl (= (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X2))))) :rule cong :premises (t2.t19))
% 10.61/11.19 (step t2.t21 (cl (= (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))) :rule all_simplify)
% 10.61/11.19 (step t2.t22 (cl (= (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) :rule cong :premises (t2.t21))
% 10.61/11.19 (step t2.t23 (cl (= (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule cong :premises (t2.t6 t2.t8 t2.t10 t2.t12 t2.t14 t2.t16 t2.t18 t2.t20 t2.t22))
% 10.61/11.19 (step t2 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule bind)
% 10.61/11.19 (step t3 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule all_simplify)
% 10.61/11.19 (step t4 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule trans :premises (t2 t3))
% 10.61/11.19 (step t5 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.19 (step t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.19 (step t7 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t5 t6))
% 10.61/11.19 (step t8 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t7))
% 10.61/11.19 (step t9 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) :rule refl)
% 10.61/11.19 (anchor :step t10 :args ((X4 $$unsorted) (:= X4 X4)))
% 10.61/11.19 (step t10.t1 (cl (= X4 X4)) :rule refl)
% 10.61/11.19 (step t10.t2 (cl (= (tptp.multiply X4 tptp.sk_c6) (tptp.multiply X4 tptp.sk_c6))) :rule refl)
% 10.61/11.19 (step t10.t3 (cl (= (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6)))) :rule cong :premises (t5 t10.t2))
% 10.61/11.19 (step t10.t4 (cl (= (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))))) :rule cong :premises (t10.t3))
% 10.61/11.19 (step t10.t5 (cl (= (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.inverse X4))))) :rule refl)
% 10.61/11.19 (step t10.t6 (cl (= (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule cong :premises (t10.t4 t10.t5))
% 10.61/11.19 (step t10 (cl (= (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))) :rule bind)
% 10.61/11.19 (step t11 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule refl)
% 10.61/11.19 (anchor :step t12 :args ((X2 $$unsorted) (:= X2 X2)))
% 10.61/11.19 (step t12.t1 (cl (= X2 X2)) :rule refl)
% 10.61/11.19 (step t12.t2 (cl (= (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.inverse X2))))) :rule refl)
% 10.61/11.19 (step t12.t3 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.19 (step t12.t4 (cl (= X2 X2)) :rule refl)
% 10.61/11.19 (step t12.t5 (cl (= (tptp.multiply X2 tptp.sk_c5) (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t12.t4 t5))
% 10.61/11.19 (step t12.t6 (cl (= (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t12.t3 t12.t5))
% 10.61/11.19 (step t12.t7 (cl (= (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t12.t6))
% 10.61/11.19 (step t12.t8 (cl (= (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule cong :premises (t12.t2 t12.t7))
% 10.61/11.19 (step t12 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))) :rule bind)
% 10.61/11.19 (step t13 (cl (= (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule cong :premises (t8 t9 t10 t11 t12))
% 10.61/11.19 (step t14 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) true)) :rule all_simplify)
% 10.61/11.19 (step t15 (cl (= (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not true))) :rule cong :premises (t14))
% 10.61/11.19 (step t16 (cl (= (not true) false)) :rule all_simplify)
% 10.61/11.19 (step t17 (cl (= (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) false)) :rule trans :premises (t15 t16))
% 10.61/11.19 (step t18 (cl (= (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) :rule refl)
% 10.61/11.19 (step t19 (cl (= (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))) :rule refl)
% 10.61/11.19 (step t20 (cl (= (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule refl)
% 10.61/11.19 (step t21 (cl (= (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))) :rule refl)
% 10.61/11.19 (step t22 (cl (= (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or false (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule cong :premises (t17 t18 t19 t20 t21))
% 10.61/11.19 (step t23 (cl (= (or false (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule all_simplify)
% 10.61/11.19 (step t24 (cl (= (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule trans :premises (t22 t23))
% 10.61/11.19 (step t25 (cl (= (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule trans :premises (t13 t24))
% 10.61/11.19 (step t26 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))))) :rule trans :premises (t4 t25))
% 10.61/11.19 (step t27 (cl (or (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))) :rule resolution :premises (t1 t26 a20))
% 10.61/11.19 (step t28 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule or :premises (t27))
% 10.61/11.19 (step t29 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule reordering :premises (t28))
% 10.61/11.19 (step t30 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t31)
% 10.61/11.19 (assume t31.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 10.61/11.19 (step t31.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule forall_inst :args ((:= X3 tptp.sk_c7)))
% 10.61/11.19 (step t31.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule or :premises (t31.t1))
% 10.61/11.19 (step t31.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t31.t2 t31.a0))
% 10.61/11.19 (step t31 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule subproof :discharge (t31.a0))
% 10.61/11.19 (step t32 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule resolution :premises (t30 t31))
% 10.61/11.19 (step t33 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule implies_neg2)
% 10.61/11.19 (step t34 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t32 t33))
% 10.61/11.19 (step t35 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule contraction :premises (t34))
% 10.61/11.19 (step t36 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) :rule implies :premises (t35))
% 10.61/11.19 (step t37 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule or_pos)
% 10.61/11.19 (step t38 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule reordering :premises (t37))
% 10.61/11.19 (step t39 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule and_neg)
% 10.61/11.19 (step t40 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t41)
% 10.61/11.19 (assume t41.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.19 (assume t41.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.19 (assume t41.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.19 (assume t41.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.19 (assume t41.a5 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.a6 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.19 (assume t41.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.19 (assume t41.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.19 (assume t41.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t41.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.19 (assume t41.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.19 (assume t41.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.19 (assume t41.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (assume t41.a15 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume t41.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.19 (step t41.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t41.t2)
% 10.61/11.19 (assume t41.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.19 (assume t41.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.19 (assume t41.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.19 (assume t41.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.19 (assume t41.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.19 (assume t41.t2.a5 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.19 (assume t41.t2.a6 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.19 (assume t41.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.19 (assume t41.t2.a9 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.19 (assume t41.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.19 (assume t41.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t41.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t41.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (assume t41.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.19 (assume t41.t2.a16 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.19 (step t41.t2.t1 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.61/11.19 (step t41.t2.t2 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t41.t2.a4))
% 10.61/11.19 (step t41.t2.t3 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t41.t2.t2))
% 10.61/11.19 (step t41.t2.t4 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t41.t2.t3 t41.t2.a0))
% 10.61/11.19 (step t41.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t41.t2.a3))
% 10.61/11.19 (step t41.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t41.t2.a2))
% 10.61/11.19 (step t41.t2.t7 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.19 (step t41.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t41.t2.t6 t41.t2.t7))
% 10.61/11.19 (step t41.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t41.t2.a1))
% 10.61/11.19 (step t41.t2.t10 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t41.t2.t4 t41.t2.t5 t41.t2.t8 t41.t2.t9))
% 10.61/11.19 (step t41.t2.t11 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t41.t2.t10))
% 10.61/11.19 (step t41.t2.t12 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.19 (step t41.t2.t13 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t41.t2.t11 t41.t2.t12))
% 10.61/11.19 (step t41.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t41.t2.a12))
% 10.61/11.19 (step t41.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t41.t2.t14))
% 10.61/11.19 (step t41.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t41.t2.t12 t41.t2.t10))
% 10.61/11.19 (step t41.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t41.t2.a0 t41.t2.t7))
% 10.61/11.19 (step t41.t2.t18 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t41.t2.a11))
% 10.61/11.19 (step t41.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t41.t2.t18))
% 10.61/11.19 (step t41.t2.t20 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t41.t2.a9))
% 10.61/11.19 (step t41.t2.t21 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t41.t2.t20))
% 10.61/11.19 (step t41.t2.t22 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t41.t2.a10))
% 10.61/11.19 (step t41.t2.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t41.t2.t22))
% 10.61/11.19 (step t41.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t41.t2.t21 t41.t2.t23))
% 10.61/11.19 (step t41.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t41.t2.a8))
% 10.61/11.19 (step t41.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t41.t2.a7))
% 10.61/11.19 (step t41.t2.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.19 (step t41.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t41.t2.t26 t41.t2.t27))
% 10.61/11.19 (step t41.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t41.t2.a6))
% 10.61/11.19 (step t41.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t41.t2.t24 t41.t2.t25 t41.t2.t28 t41.t2.t29))
% 10.61/11.19 (step t41.t2.t31 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t41.t2.t1 t41.t2.t30))
% 10.61/11.19 (step t41.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t41.t2.a5))
% 10.61/11.19 (step t41.t2.t33 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t41.t2.t32))
% 10.61/11.19 (step t41.t2.t34 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t41.t2.a0))
% 10.61/11.19 (step t41.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t41.t2.t34 t41.t2.t12))
% 10.61/11.19 (step t41.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t41.t2.t13 t41.t2.t15 t41.t2.t16 t41.t2.t17 t41.t2.t19 t41.t2.t31 t41.t2.t33 t41.t2.t35 t41.t2.t4 t41.t2.t5 t41.t2.t8 t41.t2.t9))
% 10.61/11.19 (step t41.t2.t37 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule cong :premises (t41.t2.t1 t41.t2.t36))
% 10.61/11.19 (step t41.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t41.t2.t37))
% 10.61/11.19 (step t41.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t41.t2.a16))
% 10.61/11.19 (step t41.t2.t40 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t41.t2.t39))
% 10.61/11.19 (step t41.t2.t41 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule refl)
% 10.61/11.19 (step t41.t2.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t41.t2.t28))
% 10.61/11.19 (step t41.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule symm :premises (t41.t2.t24))
% 10.61/11.19 (step t41.t2.t44 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t41.t2.t23 t41.t2.t7))
% 10.61/11.19 (step t41.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t41.t2.t8))
% 10.61/11.19 (step t41.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t41.t2.t4))
% 10.61/11.19 (step t41.t2.t47 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t41.t2.t35))
% 10.61/11.19 (step t41.t2.t48 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t41.t2.t31))
% 10.61/11.19 (step t41.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t41.t2.t17))
% 10.61/11.19 (step t41.t2.t50 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t41.t2.a1 t41.t2.t45 t41.t2.a3 t41.t2.t46 t41.t2.t47 t41.t2.t32 t41.t2.t48 t41.t2.t18 t41.t2.t49))
% 10.61/11.19 (step t41.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t41.t2.t22 t41.t2.t50))
% 10.61/11.19 (step t41.t2.t52 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t41.t2.a15))
% 10.61/11.19 (step t41.t2.t53 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) :rule trans :premises (t41.t2.a6 t41.t2.t42 t41.t2.a8 t41.t2.t43 t41.t2.t44 t41.t2.t51 t41.t2.t52))
% 10.61/11.19 (step t41.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule cong :premises (t41.t2.t41 t41.t2.t53))
% 10.61/11.19 (step t41.t2.t55 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t41.t2.a14))
% 10.61/11.19 (step t41.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.identity)) :rule symm :premises (t41.t2.a13))
% 10.61/11.19 (step t41.t2.t57 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t41.t2.t56 t41.t2.t7))
% 10.61/11.19 (step t41.t2.t58 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t41.t2.a13 t41.t2.t54 t41.t2.t55 t41.t2.t57 t41.t2.t45 t41.t2.a3 t41.t2.t46 t41.t2.t47 t41.t2.t32 t41.t2.t48 t41.t2.t18 t41.t2.t49))
% 10.61/11.19 (step t41.t2.t59 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t41.t2.t50))
% 10.61/11.19 (step t41.t2.t60 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t41.t2.t58 t41.t2.t59 t41.t2.t21))
% 10.61/11.19 (step t41.t2.t61 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.19 (step t41.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t41.t2.t60 t41.t2.t61))
% 10.61/11.19 (step t41.t2.t63 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t41.t2.t16))
% 10.61/11.19 (step t41.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t41.t2.t13))
% 10.61/11.19 (step t41.t2.t65 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t41.t2.t40 t41.t2.t62 t41.t2.t26 t41.t2.a13 t41.t2.t54 t41.t2.t55 t41.t2.t57 t41.t2.t45 t41.t2.a3 t41.t2.t46 t41.t2.t47 t41.t2.t32 t41.t2.t48 t41.t2.t18 t41.t2.t49 t41.t2.t63 t41.t2.t14 t41.t2.t64))
% 10.61/11.19 (step t41.t2.t66 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t41.t2.t65))
% 10.61/11.19 (step t41.t2.t67 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7)) :rule trans :premises (t41.t2.t13 t41.t2.t15 t41.t2.t16 t41.t2.t17 t41.t2.t19 t41.t2.t31 t41.t2.t37 t41.t2.t34))
% 10.61/11.19 (step t41.t2.t68 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t41.t2.t67))
% 10.61/11.19 (step t41.t2.t69 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule trans :premises (t41.t2.a0 t41.t2.t38 t41.t2.t33 t41.t2.t35 t41.t2.t4 t41.t2.t5 t41.t2.t8 t41.t2.t9 t41.t2.t21 t41.t2.t66 t41.t2.t68))
% 10.61/11.19 (step t41.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t41.t2.a0 t41.t2.a1 t41.t2.a2 t41.t2.a3 t41.t2.a4 t41.t2.a5 t41.t2.a6 t41.t2.a7 t41.t2.a8 t41.t2.a9 t41.t2.a10 t41.t2.a11 t41.t2.a12 t41.t2.a13 t41.t2.a14 t41.t2.a15 t41.t2.a16))
% 10.61/11.19 (step t41.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t41.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t41.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t41.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t41.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t41.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t41.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t41.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t41.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.19 (step t41.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t41.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t41.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t41.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t41.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t41.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t41.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t41.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t41.t20 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t41.t2 t41.t3 t41.t4 t41.t5 t41.t6 t41.t7 t41.t8 t41.t9 t41.t10 t41.t11 t41.t12 t41.t13 t41.t14 t41.t15 t41.t16 t41.t17 t41.t18 t41.t19))
% 10.61/11.19 (step t41.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t41.t20))
% 10.61/11.19 (step t41.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t41.t21))
% 10.61/11.19 (step t41.t23 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t41.t1 t41.t22))
% 10.61/11.19 (step t41.t24 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.19 (step t41.t25 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t41.t23 t41.t24))
% 10.61/11.19 (step t41.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t41.t25))
% 10.61/11.19 (step t41.t27 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t41.t26))
% 10.61/11.19 (step t41.t28 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 10.61/11.19 (step t41.t29 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t41.t28 t41.a1 t41.a4 t41.a9 t41.a12 t41.a0 t41.a15 t41.a5 t41.a11 t41.a13 t41.a2 t41.a3 t41.a16 t41.a10 t41.a6 t41.a14 t41.a7 t41.a8))
% 10.61/11.19 (step t41.t30 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t41.t27 t41.t29))
% 10.61/11.19 (step t41 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2 t41.a3 t41.a4 t41.a5 t41.a6 t41.a7 t41.a8 t41.a9 t41.a10 t41.a11 t41.a12 t41.a13 t41.a14 t41.a15 t41.a16))
% 10.61/11.19 (step t42 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t43 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t44 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t45 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t46 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t47 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t48 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t49 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t50 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t51 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t52 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t53 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t54 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t55 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.19 (step t56 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t57 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t58 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t59 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58))
% 10.61/11.19 (step t60 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t59))
% 10.61/11.19 (step t61 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t60))
% 10.61/11.19 (step t62 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t40 t61))
% 10.61/11.19 (step t63 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.19 (step t64 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t62 t63))
% 10.61/11.19 (step t65 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t64))
% 10.61/11.19 (step t66 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t65))
% 10.61/11.19 (step t67 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t39 t66))
% 10.61/11.19 (step t68 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule reordering :premises (t67))
% 10.61/11.19 (step t69 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.61/11.19 (step t70 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule all_simplify)
% 10.61/11.19 (step t71 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 10.61/11.19 (step t72 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t70 t71))
% 10.61/11.19 (step t73 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t69 t72 a4))
% 10.61/11.19 (step t74 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t73))
% 10.61/11.19 (step t75 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t76)
% 10.61/11.19 (assume t76.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))
% 10.61/11.19 (step t76.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule forall_inst :args ((:= X2 tptp.sk_c3)))
% 10.61/11.19 (step t76.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule or :premises (t76.t1))
% 10.61/11.19 (step t76.t3 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t76.t2 t76.a0))
% 10.61/11.19 (step t76 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule subproof :discharge (t76.a0))
% 10.61/11.19 (step t77 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t75 t76))
% 10.61/11.19 (step t78 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule implies_neg2)
% 10.61/11.19 (step t79 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule resolution :premises (t77 t78))
% 10.61/11.19 (step t80 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule contraction :premises (t79))
% 10.61/11.19 (step t81 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule implies :premises (t80))
% 10.61/11.19 (step t82 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule or_pos)
% 10.61/11.19 (step t83 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule reordering :premises (t82))
% 10.61/11.19 (step t84 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.19 (step t85 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t86)
% 10.61/11.19 (assume t86.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.19 (assume t86.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.19 (assume t86.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.19 (assume t86.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.19 (assume t86.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.19 (assume t86.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.19 (assume t86.a7 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.a9 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 10.61/11.19 (assume t86.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.19 (assume t86.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.19 (assume t86.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t86.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.19 (assume t86.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.19 (assume t86.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.19 (assume t86.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t86.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.19 (assume t86.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (assume t86.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (step t86.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 10.61/11.19 (anchor :step t86.t2)
% 10.61/11.19 (assume t86.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 10.61/11.19 (assume t86.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.t2.a2 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.19 (assume t86.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.19 (assume t86.t2.a5 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.19 (assume t86.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.19 (assume t86.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.19 (assume t86.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.19 (assume t86.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.19 (assume t86.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.19 (assume t86.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.19 (assume t86.t2.a12 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.19 (assume t86.t2.a13 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.19 (assume t86.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t86.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.19 (assume t86.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.19 (assume t86.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (assume t86.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.19 (assume t86.t2.a19 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.19 (step t86.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t86.t2.a6))
% 10.61/11.19 (step t86.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t86.t2.t1))
% 10.61/11.19 (step t86.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.19 (step t86.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.19 (step t86.t2.t5 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t86.t2.a7 t86.t2.t4))
% 10.61/11.19 (step t86.t2.t6 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t86.t2.a16))
% 10.61/11.19 (step t86.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t86.t2.t6))
% 10.61/11.19 (step t86.t2.t8 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.19 (step t86.t2.t9 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t86.t2.a12))
% 10.61/11.19 (step t86.t2.t10 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t86.t2.t9))
% 10.61/11.19 (step t86.t2.t11 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t86.t2.a13))
% 10.61/11.19 (step t86.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t86.t2.t11))
% 10.61/11.19 (step t86.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t86.t2.t10 t86.t2.t12))
% 10.61/11.19 (step t86.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t86.t2.a11))
% 10.61/11.19 (step t86.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t86.t2.a10))
% 10.61/11.19 (step t86.t2.t16 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.19 (step t86.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t86.t2.t15 t86.t2.t16))
% 10.61/11.19 (step t86.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t86.t2.a9))
% 10.61/11.19 (step t86.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t86.t2.t13 t86.t2.t14 t86.t2.t17 t86.t2.t18))
% 10.61/11.19 (step t86.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t86.t2.t8 t86.t2.t19))
% 10.61/11.19 (step t86.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t86.t2.t5 t86.t2.t7 t86.t2.t20))
% 10.61/11.19 (step t86.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t86.t2.t21 t86.t2.t16))
% 10.61/11.19 (step t86.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t86.t2.a15))
% 10.61/11.19 (step t86.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t86.t2.t23))
% 10.61/11.19 (step t86.t2.t25 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t86.t2.a5))
% 10.61/11.19 (step t86.t2.t26 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t86.t2.t25))
% 10.61/11.19 (step t86.t2.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t86.t2.t26 t86.t2.t2))
% 10.61/11.19 (step t86.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t86.t2.a4))
% 10.61/11.19 (step t86.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t86.t2.a3))
% 10.61/11.19 (step t86.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.19 (step t86.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t86.t2.t29 t86.t2.t30))
% 10.61/11.19 (step t86.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t86.t2.a2))
% 10.61/11.19 (step t86.t2.t33 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t86.t2.t27 t86.t2.t28 t86.t2.t31 t86.t2.t32))
% 10.61/11.19 (step t86.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t86.t2.t8 t86.t2.t33))
% 10.61/11.19 (step t86.t2.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t86.t2.t19))
% 10.61/11.19 (step t86.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t86.t2.t35 t86.t2.t4))
% 10.61/11.19 (step t86.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t86.t2.a14))
% 10.61/11.19 (step t86.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t86.t2.t37))
% 10.61/11.19 (step t86.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t86.t2.t4 t86.t2.t19))
% 10.61/11.19 (step t86.t2.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t86.t2.t36 t86.t2.t38 t86.t2.t39))
% 10.61/11.19 (step t86.t2.t41 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t86.t2.t8 t86.t2.t40))
% 10.61/11.19 (step t86.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t86.t2.a8))
% 10.61/11.19 (step t86.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t86.t2.a7))
% 10.61/11.19 (step t86.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t86.t2.t43 t86.t2.t16))
% 10.61/11.19 (step t86.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t86.t2.t22 t86.t2.t24 t86.t2.t34 t86.t2.t41 t86.t2.t42 t86.t2.t44 t86.t2.t27 t86.t2.t28 t86.t2.t31 t86.t2.t32))
% 10.61/11.19 (step t86.t2.t46 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t86.t2.t3 t86.t2.t45))
% 10.61/11.19 (step t86.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t86.t2.t46))
% 10.61/11.19 (step t86.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t86.t2.a18))
% 10.61/11.19 (step t86.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t86.t2.t2 t86.t2.t16))
% 10.61/11.19 (step t86.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule symm :premises (t86.t2.t49))
% 10.61/11.19 (step t86.t2.t51 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t86.t2.a1 t86.t2.t16))
% 10.61/11.19 (step t86.t2.t52 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t86.t2.a17))
% 10.61/11.19 (step t86.t2.t53 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t86.t2.t52))
% 10.61/11.19 (step t86.t2.t54 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule refl)
% 10.61/11.19 (step t86.t2.t55 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t86.t2.t54 t86.t2.t45))
% 10.61/11.19 (step t86.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.identity)) :rule symm :premises (t86.t2.a1))
% 10.61/11.19 (step t86.t2.t57 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t86.t2.a9 t86.t2.t51 t86.t2.t53 t86.t2.t55 t86.t2.t56))
% 10.61/11.19 (step t86.t2.t58 (cl (= tptp.identity tptp.sk_c6)) :rule symm :premises (t86.t2.t57))
% 10.61/11.19 (step t86.t2.t59 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t86.t2.t31))
% 10.61/11.19 (step t86.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule symm :premises (t86.t2.t27))
% 10.61/11.19 (step t86.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t86.t2.t48))
% 10.61/11.19 (step t86.t2.t62 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t86.t2.a2 t86.t2.t59 t86.t2.a4 t86.t2.t60 t86.t2.t49 t86.t2.t61 t86.t2.t46 t86.t2.t1))
% 10.61/11.19 (step t86.t2.t63 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t86.t2.t62))
% 10.61/11.19 (step t86.t2.t64 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t86.t2.a19))
% 10.61/11.19 (step t86.t2.t65 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t86.t2.t64))
% 10.61/11.19 (step t86.t2.t66 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t86.t2.t58 t86.t2.t35))
% 10.61/11.19 (step t86.t2.t67 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t86.t2.t66 t86.t2.t4))
% 10.61/11.19 (step t86.t2.t68 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t86.t2.t36))
% 10.61/11.19 (step t86.t2.t69 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t86.t2.t65 t86.t2.t67 t86.t2.t68))
% 10.61/11.19 (step t86.t2.t70 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t86.t2.t9 t86.t2.t69 t86.t2.t62 t86.t2.t57))
% 10.61/11.19 (step t86.t2.t71 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.61/11.19 (step t86.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t86.t2.t70 t86.t2.t71))
% 10.61/11.19 (step t86.t2.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t86.t2.a0))
% 10.61/11.19 (step t86.t2.t74 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c3)) :rule trans :premises (t86.t2.a2 t86.t2.t59 t86.t2.a4 t86.t2.t60 t86.t2.t49 t86.t2.t61 t86.t2.t46 t86.t2.t1 t86.t2.a9 t86.t2.t51 t86.t2.t53 t86.t2.t55 t86.t2.t56 t86.t2.a10 t86.t2.t72 t86.t2.t73))
% 10.61/11.19 (step t86.t2.t75 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t86.t2.t58 t86.t2.t63 t86.t2.t74))
% 10.61/11.19 (step t86.t2.t76 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t86.t2.t75 t86.t2.t30))
% 10.61/11.19 (step t86.t2.t77 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule trans :premises (t86.t2.t2 t86.t2.t47 t86.t2.t48 t86.t2.t50 t86.t2.t27 t86.t2.t28 t86.t2.t31 t86.t2.t76))
% 10.61/11.19 (step t86.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t86.t2.a0 t86.t2.a1 t86.t2.a2 t86.t2.a3 t86.t2.a4 t86.t2.a5 t86.t2.a6 t86.t2.a7 t86.t2.a8 t86.t2.a9 t86.t2.a10 t86.t2.a11 t86.t2.a12 t86.t2.a13 t86.t2.a14 t86.t2.a15 t86.t2.a16 t86.t2.a17 t86.t2.a18 t86.t2.a19))
% 10.61/11.19 (step t86.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t86.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t86.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t86.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t86.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.19 (step t86.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t86.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t86.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t86.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t86.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t86.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t86.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t86.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t86.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t86.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t86.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t86.t19 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t86.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t86.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t86.t22 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t86.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t86.t2 t86.t3 t86.t4 t86.t5 t86.t6 t86.t7 t86.t8 t86.t9 t86.t10 t86.t11 t86.t12 t86.t13 t86.t14 t86.t15 t86.t16 t86.t17 t86.t18 t86.t19 t86.t20 t86.t21 t86.t22))
% 10.61/11.19 (step t86.t24 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t86.t23))
% 10.61/11.19 (step t86.t25 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t86.t24))
% 10.61/11.19 (step t86.t26 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t86.t1 t86.t25))
% 10.61/11.19 (step t86.t27 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.19 (step t86.t28 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t86.t26 t86.t27))
% 10.61/11.19 (step t86.t29 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t86.t28))
% 10.61/11.19 (step t86.t30 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t86.t29))
% 10.61/11.19 (step t86.t31 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 10.61/11.19 (step t86.t32 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t86.t31 t86.a9 t86.a8 t86.a7 t86.a13 t86.a15 t86.a3 t86.a4 t86.a0 t86.a10 t86.a5 t86.a11 t86.a14 t86.a1 t86.a2 t86.a12 t86.a17 t86.a16 t86.a18 t86.a19 t86.a6))
% 10.61/11.19 (step t86.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t86.t30 t86.t32))
% 10.61/11.19 (step t86 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t86.a0 t86.a1 t86.a2 t86.a3 t86.a4 t86.a5 t86.a6 t86.a7 t86.a8 t86.a9 t86.a10 t86.a11 t86.a12 t86.a13 t86.a14 t86.a15 t86.a16 t86.a17 t86.a18 t86.a19))
% 10.61/11.19 (step t87 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t88 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t89 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t90 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t91 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t92 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.19 (step t93 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.19 (step t94 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t95 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t96 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t97 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t98 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.19 (step t99 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t100 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.19 (step t101 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t102 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.19 (step t103 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.19 (step t104 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t105 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t106 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.19 (step t107 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t86 t87 t88 t89 t90 t91 t92 t93 t94 t95 t96 t97 t98 t99 t100 t101 t102 t103 t104 t105 t106))
% 10.61/11.20 (step t108 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t107))
% 10.61/11.20 (step t109 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t108))
% 10.61/11.20 (step t110 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t85 t109))
% 10.61/11.20 (step t111 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t112 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t110 t111))
% 10.61/11.20 (step t113 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t112))
% 10.61/11.20 (step t114 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t113))
% 10.61/11.20 (step t115 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t84 t114))
% 10.61/11.20 (step t116 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t117)
% 10.61/11.20 (assume t117.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t117.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t117.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule or :premises (t117.t1))
% 10.61/11.20 (step t117.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t117.t2 t117.a0))
% 10.61/11.20 (step t117 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule subproof :discharge (t117.a0))
% 10.61/11.20 (step t118 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t116 t117))
% 10.61/11.20 (step t119 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t120 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule resolution :premises (t118 t119))
% 10.61/11.20 (step t121 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule contraction :premises (t120))
% 10.61/11.20 (step t122 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule implies :premises (t121))
% 10.61/11.20 (step t123 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t122 a2))
% 10.61/11.20 (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t125)
% 10.61/11.20 (assume t125.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t125.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (:= Y (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t125.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule or :premises (t125.t1))
% 10.61/11.20 (step t125.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t125.t2 t125.a0))
% 10.61/11.20 (step t125 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule subproof :discharge (t125.a0))
% 10.61/11.20 (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t124 t125))
% 10.61/11.20 (step t127 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t128 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule resolution :premises (t126 t127))
% 10.61/11.20 (step t129 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule contraction :premises (t128))
% 10.61/11.20 (step t130 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule implies :premises (t129))
% 10.61/11.20 (step t131 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule resolution :premises (t130 a2))
% 10.61/11.20 (step t132 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t133)
% 10.61/11.20 (assume t133.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t133.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c6) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t133.t2 (cl (not (forall ((X $$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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule or :premises (t133.t1))
% 10.61/11.20 (step t133.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t133.t2 t133.a0))
% 10.61/11.20 (step t133 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t133.a0))
% 10.61/11.20 (step t134 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t132 t133))
% 10.61/11.20 (step t135 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t136 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t134 t135))
% 10.61/11.20 (step t137 (cl (=> (forall ((X $$unsorted) (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_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t136))
% 10.61/11.20 (step t138 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t137))
% 10.61/11.20 (step t139 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t138 a2))
% 10.61/11.20 (step t140 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t141)
% 10.61/11.20 (assume t141.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t141.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 10.61/11.20 (step t141.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t141.t1))
% 10.61/11.20 (step t141.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t141.t2 t141.a0))
% 10.61/11.20 (step t141 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t141.a0))
% 10.61/11.20 (step t142 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t140 t141))
% 10.61/11.20 (step t143 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t144 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t142 t143))
% 10.61/11.20 (step t145 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t144))
% 10.61/11.20 (step t146 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t145))
% 10.61/11.20 (step t147 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t146 a2))
% 10.61/11.20 (step t148 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t149)
% 10.61/11.20 (assume t149.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t149.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (step t149.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule or :premises (t149.t1))
% 10.61/11.20 (step t149.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t149.t2 t149.a0))
% 10.61/11.20 (step t149 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule subproof :discharge (t149.a0))
% 10.61/11.20 (step t150 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t148 t149))
% 10.61/11.20 (step t151 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule implies_neg2)
% 10.61/11.20 (step t152 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t150 t151))
% 10.61/11.20 (step t153 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule contraction :premises (t152))
% 10.61/11.20 (step t154 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies :premises (t153))
% 10.61/11.20 (step t155 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t154 a2))
% 10.61/11.20 (step t156 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t157)
% 10.61/11.20 (assume t157.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t157.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t157.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or :premises (t157.t1))
% 10.61/11.20 (step t157.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t157.t2 t157.a0))
% 10.61/11.20 (step t157 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule subproof :discharge (t157.a0))
% 10.61/11.20 (step t158 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t156 t157))
% 10.61/11.20 (step t159 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t160 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t158 t159))
% 10.61/11.20 (step t161 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule contraction :premises (t160))
% 10.61/11.20 (step t162 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies :premises (t161))
% 10.61/11.20 (step t163 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t162 a2))
% 10.61/11.20 (step t164 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t165)
% 10.61/11.20 (assume t165.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t165.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 10.61/11.20 (step t165.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t165.t1))
% 10.61/11.20 (step t165.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t165.t2 t165.a0))
% 10.61/11.20 (step t165 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t165.a0))
% 10.61/11.20 (step t166 (cl (=> (forall ((X $$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 (t164 t165))
% 10.61/11.20 (step t167 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 10.61/11.20 (step t168 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t166 t167))
% 10.61/11.20 (step t169 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t168))
% 10.61/11.20 (step t170 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t169))
% 10.61/11.20 (step t171 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 10.61/11.20 (anchor :step t172 :args ((X $$unsorted) (:= X X)))
% 10.61/11.20 (step t172.t1 (cl (= X X)) :rule refl)
% 10.61/11.20 (step t172.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 10.61/11.20 (step t172 (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)
% 10.61/11.20 (step t173 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t171 t172 a1))
% 10.61/11.20 (step t174 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t170 t173))
% 10.61/11.20 (step t175 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t176)
% 10.61/11.20 (assume t176.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t176.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 10.61/11.20 (step t176.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t176.t1))
% 10.61/11.20 (step t176.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t176.t2 t176.a0))
% 10.61/11.20 (step t176 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t176.a0))
% 10.61/11.20 (step t177 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t175 t176))
% 10.61/11.20 (step t178 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t179 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t177 t178))
% 10.61/11.20 (step t180 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t179))
% 10.61/11.20 (step t181 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t180))
% 10.61/11.20 (step t182 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t181 a2))
% 10.61/11.20 (step t183 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t184)
% 10.61/11.20 (assume t184.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t184.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 10.61/11.20 (step t184.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t184.t1))
% 10.61/11.20 (step t184.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t184.t2 t184.a0))
% 10.61/11.20 (step t184 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t184.a0))
% 10.61/11.20 (step t185 (cl (=> (forall ((X $$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 (t183 t184))
% 10.61/11.20 (step t186 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.20 (step t187 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t185 t186))
% 10.61/11.20 (step t188 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t187))
% 10.61/11.20 (step t189 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t188))
% 10.61/11.20 (step t190 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t189 t173))
% 10.61/11.20 (step t191 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t192)
% 10.61/11.20 (assume t192.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t192.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t192.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t192.t1))
% 10.61/11.20 (step t192.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t192.t2 t192.a0))
% 10.61/11.20 (step t192 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t192.a0))
% 10.61/11.20 (step t193 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t191 t192))
% 10.61/11.20 (step t194 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t195 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t193 t194))
% 10.61/11.20 (step t196 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t195))
% 10.61/11.20 (step t197 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t196))
% 10.61/11.20 (step t198 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t197 a2))
% 10.61/11.20 (step t199 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t200)
% 10.61/11.20 (assume t200.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.20 (step t200.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 10.61/11.20 (step t200.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t200.t1))
% 10.61/11.20 (step t200.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t200.t2 t200.a0))
% 10.61/11.20 (step t200 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t200.a0))
% 10.61/11.20 (step t201 (cl (=> (forall ((X $$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 (t199 t200))
% 10.61/11.20 (step t202 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.20 (step t203 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t201 t202))
% 10.61/11.20 (step t204 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t203))
% 10.61/11.20 (step t205 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t204))
% 10.61/11.20 (step t206 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 10.61/11.20 (anchor :step t207 :args ((X $$unsorted) (:= X X)))
% 10.61/11.20 (step t207.t1 (cl (= X X)) :rule refl)
% 10.61/11.20 (step t207.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 10.61/11.20 (step t207 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 10.61/11.20 (step t208 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t206 t207 a0))
% 10.61/11.20 (step t209 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t205 t208))
% 10.61/11.20 (step t210 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t211)
% 10.61/11.20 (assume t211.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t211.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (step t211.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t211.t1))
% 10.61/11.20 (step t211.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t211.t2 t211.a0))
% 10.61/11.20 (step t211 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t211.a0))
% 10.61/11.20 (step t212 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t210 t211))
% 10.61/11.20 (step t213 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t214 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t212 t213))
% 10.61/11.20 (step t215 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t214))
% 10.61/11.20 (step t216 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t215))
% 10.61/11.20 (step t217 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t216 t173))
% 10.61/11.20 (step t218 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t219)
% 10.61/11.20 (assume t219.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.20 (step t219.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (step t219.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t219.t1))
% 10.61/11.20 (step t219.t3 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t219.t2 t219.a0))
% 10.61/11.20 (step t219 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t219.a0))
% 10.61/11.20 (step t220 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t218 t219))
% 10.61/11.20 (step t221 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t222 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t220 t221))
% 10.61/11.20 (step t223 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t222))
% 10.61/11.20 (step t224 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t223))
% 10.61/11.20 (step t225 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t224 t208))
% 10.61/11.20 (step t226 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t227)
% 10.61/11.20 (assume t227.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.20 (step t227.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.61/11.20 (step t227.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t227.t1))
% 10.61/11.20 (step t227.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t227.t2 t227.a0))
% 10.61/11.20 (step t227 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t227.a0))
% 10.61/11.20 (step t228 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t226 t227))
% 10.61/11.20 (step t229 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t230 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t228 t229))
% 10.61/11.20 (step t231 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t230))
% 10.61/11.20 (step t232 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t231))
% 10.61/11.20 (step t233 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t232 t208))
% 10.61/11.20 (step t234 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t235)
% 10.61/11.20 (assume t235.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.20 (step t235.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 10.61/11.20 (step t235.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t235.t1))
% 10.61/11.20 (step t235.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t235.t2 t235.a0))
% 10.61/11.20 (step t235 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t235.a0))
% 10.61/11.20 (step t236 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t234 t235))
% 10.61/11.20 (step t237 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.20 (step t238 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t236 t237))
% 10.61/11.20 (step t239 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t238))
% 10.61/11.20 (step t240 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t239))
% 10.61/11.20 (step t241 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t240 t208))
% 10.61/11.20 (step t242 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t243)
% 10.61/11.20 (assume t243.a0 (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))
% 10.61/11.20 (step t243.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X4 tptp.sk_c3)))
% 10.61/11.20 (step t243.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t243.t1))
% 10.61/11.20 (step t243.t3 (cl (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t243.t2 t243.a0))
% 10.61/11.20 (step t243 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t243.a0))
% 10.61/11.20 (step t244 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t242 t243))
% 10.61/11.20 (step t245 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 10.61/11.20 (step t246 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t244 t245))
% 10.61/11.20 (step t247 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t246))
% 10.61/11.20 (step t248 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t247))
% 10.61/11.20 (step t249 (cl (not (= (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.61/11.20 (step t250 (cl (= (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule refl)
% 10.61/11.20 (step t251 (cl (= (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) true) (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule equiv_simplify)
% 10.61/11.20 (step t252 (cl (not (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) true)) (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule equiv1 :premises (t251))
% 10.61/11.20 (step t253 (cl (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))))) :rule all_simplify)
% 10.61/11.20 (step t254 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule refl)
% 10.61/11.20 (step t255 (cl (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 10.61/11.20 (step t256 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t254 t255))
% 10.61/11.20 (step t257 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) true)) :rule all_simplify)
% 10.61/11.20 (step t258 (cl (= (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) true)) :rule trans :premises (t256 t257))
% 10.61/11.20 (step t259 (cl (= (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) true)) :rule trans :premises (t253 t258))
% 10.61/11.20 (step t260 (cl (= (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t252 t259))
% 10.61/11.20 (step t261 (cl (= (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t250 t260))
% 10.61/11.20 (step t262 (cl (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule or_neg)
% 10.61/11.20 (step t263 (cl (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 10.61/11.20 (step t264 (cl (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule or_neg)
% 10.61/11.20 (step t265 (cl (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t262 t263 t264))
% 10.61/11.20 (step t266 (cl (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t265))
% 10.61/11.20 (step t267 (cl (or (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t249 t261 t266))
% 10.61/11.20 (step t268 (cl (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule or :premises (t267))
% 10.61/11.20 (step t269 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule reordering :premises (t268))
% 10.61/11.20 (step t270 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.20 (step t271 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t272)
% 10.61/11.20 (assume t272.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t272.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.20 (assume t272.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.20 (assume t272.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t272.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t272.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t272.a7 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t272.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (assume t272.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.20 (assume t272.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.20 (assume t272.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (assume t272.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.20 (assume t272.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.20 (assume t272.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.20 (assume t272.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.20 (assume t272.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.20 (assume t272.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.20 (step t272.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t272.t2)
% 10.61/11.20 (assume t272.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t272.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.t2.a2 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (assume t272.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.20 (assume t272.t2.a5 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t272.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t272.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t272.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t272.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t272.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.20 (assume t272.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.20 (assume t272.t2.a12 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.20 (assume t272.t2.a13 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.20 (assume t272.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.20 (assume t272.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.20 (assume t272.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.20 (assume t272.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.20 (assume t272.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.20 (assume t272.t2.a19 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (step t272.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t272.t2.a0))
% 10.61/11.20 (step t272.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t272.t2.t1))
% 10.61/11.20 (step t272.t2.t3 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t272.t2.a12))
% 10.61/11.20 (step t272.t2.t4 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t272.t2.t3))
% 10.61/11.20 (step t272.t2.t5 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t272.t2.a13))
% 10.61/11.20 (step t272.t2.t6 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t272.t2.t5))
% 10.61/11.20 (step t272.t2.t7 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t272.t2.t4 t272.t2.t6))
% 10.61/11.20 (step t272.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t272.t2.a11))
% 10.61/11.20 (step t272.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t272.t2.a10))
% 10.61/11.20 (step t272.t2.t10 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t272.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t272.t2.t9 t272.t2.t10))
% 10.61/11.20 (step t272.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t272.t2.a9))
% 10.61/11.20 (step t272.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t272.t2.t7 t272.t2.t8 t272.t2.t11 t272.t2.t12))
% 10.61/11.20 (step t272.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t272.t2.a1 t272.t2.t10))
% 10.61/11.20 (step t272.t2.t15 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t272.t2.a17))
% 10.61/11.20 (step t272.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t272.t2.t15))
% 10.61/11.20 (step t272.t2.t17 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule refl)
% 10.61/11.20 (step t272.t2.t18 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.20 (step t272.t2.t19 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t272.t2.a7 t272.t2.t18))
% 10.61/11.20 (step t272.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t272.t2.a16))
% 10.61/11.20 (step t272.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t272.t2.t20))
% 10.61/11.20 (step t272.t2.t22 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.20 (step t272.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t272.t2.t22 t272.t2.t13))
% 10.61/11.20 (step t272.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t272.t2.t19 t272.t2.t21 t272.t2.t23))
% 10.61/11.20 (step t272.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t272.t2.t24 t272.t2.t10))
% 10.61/11.20 (step t272.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t272.t2.a15))
% 10.61/11.20 (step t272.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t272.t2.t26))
% 10.61/11.20 (step t272.t2.t28 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t272.t2.a5))
% 10.61/11.20 (step t272.t2.t29 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t272.t2.t28))
% 10.61/11.20 (step t272.t2.t30 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t272.t2.a6))
% 10.61/11.20 (step t272.t2.t31 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t272.t2.t30))
% 10.61/11.20 (step t272.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t272.t2.t29 t272.t2.t31))
% 10.61/11.20 (step t272.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t272.t2.a4))
% 10.61/11.20 (step t272.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t272.t2.a3))
% 10.61/11.20 (step t272.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.20 (step t272.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t272.t2.t34 t272.t2.t35))
% 10.61/11.20 (step t272.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t272.t2.a2))
% 10.61/11.20 (step t272.t2.t38 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t272.t2.t32 t272.t2.t33 t272.t2.t36 t272.t2.t37))
% 10.61/11.20 (step t272.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t272.t2.t22 t272.t2.t38))
% 10.61/11.20 (step t272.t2.t40 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t272.t2.t13))
% 10.61/11.20 (step t272.t2.t41 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t272.t2.t40 t272.t2.t18))
% 10.61/11.20 (step t272.t2.t42 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t272.t2.a14))
% 10.61/11.20 (step t272.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t272.t2.t42))
% 10.61/11.20 (step t272.t2.t44 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t272.t2.t18 t272.t2.t13))
% 10.61/11.20 (step t272.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t272.t2.t41 t272.t2.t43 t272.t2.t44))
% 10.61/11.20 (step t272.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t272.t2.t22 t272.t2.t45))
% 10.61/11.20 (step t272.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t272.t2.a8))
% 10.61/11.20 (step t272.t2.t48 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t272.t2.a7))
% 10.61/11.20 (step t272.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t272.t2.t48 t272.t2.t10))
% 10.61/11.20 (step t272.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t272.t2.t25 t272.t2.t27 t272.t2.t39 t272.t2.t46 t272.t2.t47 t272.t2.t49 t272.t2.t32 t272.t2.t33 t272.t2.t36 t272.t2.t37))
% 10.61/11.20 (step t272.t2.t51 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t272.t2.t17 t272.t2.t50))
% 10.61/11.20 (step t272.t2.t52 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.identity)) :rule symm :premises (t272.t2.a1))
% 10.61/11.20 (step t272.t2.t53 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t272.t2.a9 t272.t2.t14 t272.t2.t16 t272.t2.t51 t272.t2.t52))
% 10.61/11.20 (step t272.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.identity)) :rule trans :premises (t272.t2.t13 t272.t2.t53))
% 10.61/11.20 (step t272.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t272.t2.t54 t272.t2.t18))
% 10.61/11.20 (step t272.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t272.t2.t55))
% 10.61/11.20 (step t272.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t272.t2.t41))
% 10.61/11.20 (step t272.t2.t58 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t272.t2.t36))
% 10.61/11.20 (step t272.t2.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule symm :premises (t272.t2.t32))
% 10.61/11.20 (step t272.t2.t60 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t272.t2.t30 t272.t2.t10))
% 10.61/11.20 (step t272.t2.t61 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t272.t2.t60))
% 10.61/11.20 (step t272.t2.t62 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t272.t2.a18))
% 10.61/11.20 (step t272.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t272.t2.t62))
% 10.61/11.20 (step t272.t2.t64 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.20 (step t272.t2.t65 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t272.t2.t50))
% 10.61/11.20 (step t272.t2.t66 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule cong :premises (t272.t2.t64 t272.t2.t65))
% 10.61/11.20 (step t272.t2.t67 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t272.t2.t66))
% 10.61/11.20 (step t272.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t272.t2.a19))
% 10.61/11.20 (step t272.t2.t69 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t272.t2.t68))
% 10.61/11.20 (step t272.t2.t70 (cl (= tptp.identity tptp.sk_c6)) :rule symm :premises (t272.t2.t53))
% 10.61/11.20 (step t272.t2.t71 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t272.t2.t70 t272.t2.t29))
% 10.61/11.20 (step t272.t2.t72 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t272.t2.t71 t272.t2.t64))
% 10.61/11.20 (step t272.t2.t73 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t272.t2.t51))
% 10.61/11.20 (step t272.t2.t74 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t272.t2.t14))
% 10.61/11.20 (step t272.t2.t75 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t272.t2.t63))
% 10.61/11.20 (step t272.t2.t76 (cl (= tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t272.t2.t69 t272.t2.t72 t272.t2.t34 t272.t2.a1 t272.t2.t73 t272.t2.t15 t272.t2.t74 t272.t2.t12 t272.t2.t31 t272.t2.t66 t272.t2.t75 t272.t2.t60 t272.t2.t32 t272.t2.t33 t272.t2.t36 t272.t2.t37))
% 10.61/11.20 (step t272.t2.t77 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t272.t2.t76))
% 10.61/11.20 (step t272.t2.t78 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t272.t2.t2))
% 10.61/11.20 (step t272.t2.t79 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7)) :rule trans :premises (t272.t2.t41 t272.t2.t55 t272.t2.t78))
% 10.61/11.20 (step t272.t2.t80 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t272.t2.t79))
% 10.61/11.20 (step t272.t2.t81 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule trans :premises (t272.t2.t2 t272.t2.t56 t272.t2.t57 t272.t2.a2 t272.t2.t58 t272.t2.a4 t272.t2.t59 t272.t2.t61 t272.t2.t63 t272.t2.t67 t272.t2.t30 t272.t2.t29 t272.t2.t77 t272.t2.t80))
% 10.61/11.20 (step t272.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t272.t2.a0 t272.t2.a1 t272.t2.a2 t272.t2.a3 t272.t2.a4 t272.t2.a5 t272.t2.a6 t272.t2.a7 t272.t2.a8 t272.t2.a9 t272.t2.a10 t272.t2.a11 t272.t2.a12 t272.t2.a13 t272.t2.a14 t272.t2.a15 t272.t2.a16 t272.t2.a17 t272.t2.a18 t272.t2.a19))
% 10.61/11.20 (step t272.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t272.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t272.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t272.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t272.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.20 (step t272.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t272.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t272.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t272.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t272.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t272.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t272.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t272.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t272.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t272.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t272.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t272.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t272.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t272.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t272.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t272.t23 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t272.t2 t272.t3 t272.t4 t272.t5 t272.t6 t272.t7 t272.t8 t272.t9 t272.t10 t272.t11 t272.t12 t272.t13 t272.t14 t272.t15 t272.t16 t272.t17 t272.t18 t272.t19 t272.t20 t272.t21 t272.t22))
% 10.61/11.20 (step t272.t24 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t272.t23))
% 10.61/11.20 (step t272.t25 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t272.t24))
% 10.61/11.20 (step t272.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t272.t1 t272.t25))
% 10.61/11.20 (step t272.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t272.t28 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t272.t26 t272.t27))
% 10.61/11.20 (step t272.t29 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t272.t28))
% 10.61/11.20 (step t272.t30 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t272.t29))
% 10.61/11.20 (step t272.t31 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 10.61/11.20 (step t272.t32 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t272.t31 t272.a6 t272.a8 t272.a7 t272.a13 t272.a15 t272.a3 t272.a4 t272.a0 t272.a9 t272.a5 t272.a11 t272.a14 t272.a1 t272.a2 t272.a12 t272.a17 t272.a16 t272.a18 t272.a19 t272.a10))
% 10.61/11.20 (step t272.t33 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t272.t30 t272.t32))
% 10.61/11.20 (step t272 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule subproof :discharge (t272.a0 t272.a1 t272.a2 t272.a3 t272.a4 t272.a5 t272.a6 t272.a7 t272.a8 t272.a9 t272.a10 t272.a11 t272.a12 t272.a13 t272.a14 t272.a15 t272.a16 t272.a17 t272.a18 t272.a19))
% 10.61/11.20 (step t273 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t274 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t275 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t276 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t277 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t278 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t279 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t280 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t281 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t282 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t283 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t284 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t285 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t286 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t287 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t288 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.20 (step t289 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t290 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t291 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t292 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t293 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t272 t273 t274 t275 t276 t277 t278 t279 t280 t281 t282 t283 t284 t285 t286 t287 t288 t289 t290 t291 t292))
% 10.61/11.20 (step t294 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule reordering :premises (t293))
% 10.61/11.20 (step t295 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule contraction :premises (t294))
% 10.61/11.20 (step t296 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t271 t295))
% 10.61/11.20 (step t297 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t298 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule resolution :premises (t296 t297))
% 10.61/11.20 (step t299 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))) :rule contraction :premises (t298))
% 10.61/11.20 (step t300 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule implies :premises (t299))
% 10.61/11.20 (step t301 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t270 t300))
% 10.61/11.20 (step t302 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule reordering :premises (t301))
% 10.61/11.20 (step t303 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t304)
% 10.61/11.20 (assume t304.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.20 (step t304.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 10.61/11.20 (step t304.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t304.t1))
% 10.61/11.20 (step t304.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t304.t2 t304.a0))
% 10.61/11.20 (step t304 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t304.a0))
% 10.61/11.20 (step t305 (cl (=> (forall ((X $$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 (t303 t304))
% 10.61/11.20 (step t306 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 10.61/11.20 (step t307 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t305 t306))
% 10.61/11.20 (step t308 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t307))
% 10.61/11.20 (step t309 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t308))
% 10.61/11.20 (step t310 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t309 t208))
% 10.61/11.20 (step t311 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule and_neg)
% 10.61/11.20 (step t312 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t313)
% 10.61/11.20 (assume t313.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.20 (assume t313.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.20 (assume t313.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t313.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.20 (assume t313.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.20 (step t313.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t313.t2)
% 10.61/11.20 (assume t313.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.20 (assume t313.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.20 (assume t313.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.20 (assume t313.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.20 (assume t313.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (step t313.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t313.t2.a4))
% 10.61/11.20 (step t313.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t313.t2.t1))
% 10.61/11.20 (step t313.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t313.t2.a3))
% 10.61/11.20 (step t313.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t313.t2.t3))
% 10.61/11.20 (step t313.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t313.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t313.t2.t4 t313.t2.t5))
% 10.61/11.20 (step t313.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t313.t2.a2))
% 10.61/11.20 (step t313.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t313.t2.t7))
% 10.61/11.20 (step t313.t2.t9 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t313.t2.a0))
% 10.61/11.20 (step t313.t2.t10 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t313.t2.t9))
% 10.61/11.20 (step t313.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t313.t2.t10))
% 10.61/11.20 (step t313.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t313.t2.a1))
% 10.61/11.20 (step t313.t2.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t313.t2.t12))
% 10.61/11.20 (step t313.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t313.t2.t13))
% 10.61/11.20 (step t313.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t313.t2.t11 t313.t2.t14))
% 10.61/11.20 (step t313.t2.t16 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t313.t2.t2 t313.t2.t6 t313.t2.t8 t313.t2.t15))
% 10.61/11.20 (step t313.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule subproof :discharge (t313.t2.a0 t313.t2.a1 t313.t2.a2 t313.t2.a3 t313.t2.a4))
% 10.61/11.20 (step t313.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t313.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t313.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t313.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t313.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t313.t8 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t313.t2 t313.t3 t313.t4 t313.t5 t313.t6 t313.t7))
% 10.61/11.20 (step t313.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t313.t8))
% 10.61/11.20 (step t313.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t313.t9))
% 10.61/11.20 (step t313.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t313.t1 t313.t10))
% 10.61/11.20 (step t313.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t313.t13 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t313.t11 t313.t12))
% 10.61/11.20 (step t313.t14 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t313.t13))
% 10.61/11.20 (step t313.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t313.t14))
% 10.61/11.20 (step t313.t16 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 10.61/11.20 (step t313.t17 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t313.t16 t313.a0 t313.a1 t313.a4 t313.a3 t313.a2))
% 10.61/11.20 (step t313.t18 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t313.t15 t313.t17))
% 10.61/11.20 (step t313 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule subproof :discharge (t313.a0 t313.a1 t313.a2 t313.a3 t313.a4))
% 10.61/11.20 (step t314 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t315 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t316 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t317 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.20 (step t318 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t319 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t313 t314 t315 t316 t317 t318))
% 10.61/11.20 (step t320 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule reordering :premises (t319))
% 10.61/11.20 (step t321 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule contraction :premises (t320))
% 10.61/11.20 (step t322 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t312 t321))
% 10.61/11.20 (step t323 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t324 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t322 t323))
% 10.61/11.20 (step t325 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule contraction :premises (t324))
% 10.61/11.20 (step t326 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule implies :premises (t325))
% 10.61/11.20 (step t327 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t311 t326))
% 10.61/11.20 (step t328 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t329)
% 10.61/11.20 (assume t329.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 10.61/11.20 (step t329.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c3)))
% 10.61/11.20 (step t329.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule or :premises (t329.t1))
% 10.61/11.20 (step t329.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t329.t2 t329.a0))
% 10.61/11.20 (step t329 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule subproof :discharge (t329.a0))
% 10.61/11.20 (step t330 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t328 t329))
% 10.61/11.20 (step t331 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule implies_neg2)
% 10.61/11.20 (step t332 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t330 t331))
% 10.61/11.20 (step t333 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule contraction :premises (t332))
% 10.61/11.20 (step t334 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies :premises (t333))
% 10.61/11.20 (step t335 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or_pos)
% 10.61/11.20 (step t336 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule reordering :premises (t335))
% 10.61/11.20 (step t337 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t81 t83 t115 t123 t131 t139 t147 t155 t163 t174 t182 t190 t198 t209 t217 t225 t233 t241 t29 t248 t269 t36 t38 t302 t123 t131 t139 t147 t155 t163 t174 t182 t190 t310 t198 t217 t225 t233 t241 t327 t163 t190 t241 t334 t336))
% 10.61/11.20 (step t338 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t337))
% 10.61/11.20 (step t339 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.61/11.20 (step t340 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 10.61/11.20 (step t341 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule all_simplify)
% 10.61/11.20 (step t342 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t340 t341))
% 10.61/11.20 (step t343 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t339 t342 a9))
% 10.61/11.20 (step t344 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t343))
% 10.61/11.20 (step t345 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t344))
% 10.61/11.20 (step t346 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.61/11.20 (step t347 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 10.61/11.20 (step t348 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t340 t347))
% 10.61/11.20 (step t349 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t346 t348 a10))
% 10.61/11.20 (step t350 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t349))
% 10.61/11.20 (step t351 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t350))
% 10.61/11.20 (step t352 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_pos2)
% 10.61/11.20 (step t353 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule all_simplify)
% 10.61/11.20 (step t354 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t340 t353))
% 10.61/11.20 (step t355 (cl (= (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule refl)
% 10.61/11.20 (step t356 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t357 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.20 (step t358 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.20 (step t359 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t357 t358))
% 10.61/11.20 (step t360 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t356 t359))
% 10.61/11.20 (step t361 (cl (= (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t355 t360))
% 10.61/11.20 (step t362 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule trans :premises (t354 t361))
% 10.61/11.20 (step t363 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t352 t362 a11))
% 10.61/11.20 (step t364 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t363))
% 10.61/11.20 (step t365 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.61/11.20 (step t366 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t340 t71))
% 10.61/11.20 (step t367 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t365 t366 a8))
% 10.61/11.20 (step t368 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t367))
% 10.61/11.20 (step t369 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t368))
% 10.61/11.20 (step t370 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t338 t345 t351 t364 t369))
% 10.61/11.20 (step t371 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t370))
% 10.61/11.20 (step t372 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 10.61/11.20 (step t373 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t374)
% 10.61/11.20 (assume t374.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t374.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t374.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t374.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t374.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t374.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t374.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t374.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (step t374.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t374.t2)
% 10.61/11.20 (assume t374.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t374.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t374.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t374.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t374.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t374.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t374.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t374.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (step t374.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t374.t2.a4))
% 10.61/11.20 (step t374.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t374.t2.t1))
% 10.61/11.20 (step t374.t2.t3 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.20 (step t374.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t374.t2.a0))
% 10.61/11.20 (step t374.t2.t5 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t374.t2.t4))
% 10.61/11.20 (step t374.t2.t6 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.20 (step t374.t2.t7 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t374.t2.a3))
% 10.61/11.20 (step t374.t2.t8 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t374.t2.t7))
% 10.61/11.20 (step t374.t2.t9 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t374.t2.t8 t374.t2.t2))
% 10.61/11.20 (step t374.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t374.t2.a2))
% 10.61/11.20 (step t374.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t374.t2.t10))
% 10.61/11.20 (step t374.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t374.t2.t11))
% 10.61/11.20 (step t374.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t374.t2.a1))
% 10.61/11.20 (step t374.t2.t14 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t374.t2.t13))
% 10.61/11.20 (step t374.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t374.t2.t14))
% 10.61/11.20 (step t374.t2.t16 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.20 (step t374.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t374.t2.t15 t374.t2.t16))
% 10.61/11.20 (step t374.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t374.t2.t5))
% 10.61/11.20 (step t374.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t374.t2.t9 t374.t2.t12 t374.t2.t17 t374.t2.t18))
% 10.61/11.20 (step t374.t2.t20 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t374.t2.t19))
% 10.61/11.20 (step t374.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t374.t2.t6 t374.t2.t20))
% 10.61/11.20 (step t374.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t374.t2.a7))
% 10.61/11.20 (step t374.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t374.t2.a6))
% 10.61/11.20 (step t374.t2.t24 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t374.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t374.t2.t23 t374.t2.t24))
% 10.61/11.20 (step t374.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t374.t2.a5))
% 10.61/11.20 (step t374.t2.t27 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t374.t2.a6 t374.t2.t21 t374.t2.t22 t374.t2.t25 t374.t2.t26))
% 10.61/11.20 (step t374.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t374.t2.t27 t374.t2.t20))
% 10.61/11.20 (step t374.t2.t29 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t374.t2.t24 t374.t2.t19))
% 10.61/11.20 (step t374.t2.t30 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t374.t2.t5 t374.t2.t28 t374.t2.t29))
% 10.61/11.20 (step t374.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t374.t2.t3 t374.t2.t30))
% 10.61/11.20 (step t374.t2.t32 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule trans :premises (t374.t2.t2 t374.t2.t31))
% 10.61/11.20 (step t374.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t374.t2.a0 t374.t2.a1 t374.t2.a2 t374.t2.a3 t374.t2.a4 t374.t2.a5 t374.t2.a6 t374.t2.a7))
% 10.61/11.20 (step t374.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t374.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t374.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t374.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t374.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t374.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t374.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t374.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t374.t11 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t374.t2 t374.t3 t374.t4 t374.t5 t374.t6 t374.t7 t374.t8 t374.t9 t374.t10))
% 10.61/11.20 (step t374.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t374.t11))
% 10.61/11.20 (step t374.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t374.t12))
% 10.61/11.20 (step t374.t14 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t374.t1 t374.t13))
% 10.61/11.20 (step t374.t15 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t374.t16 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t374.t14 t374.t15))
% 10.61/11.20 (step t374.t17 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t374.t16))
% 10.61/11.20 (step t374.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t374.t17))
% 10.61/11.20 (step t374.t19 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 10.61/11.20 (step t374.t20 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t374.t19 t374.a3 t374.a5 t374.a6 t374.a1 t374.a0 t374.a2 t374.a4 t374.a7))
% 10.61/11.20 (step t374.t21 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t374.t18 t374.t20))
% 10.61/11.20 (step t374 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t374.a0 t374.a1 t374.a2 t374.a3 t374.a4 t374.a5 t374.a6 t374.a7))
% 10.61/11.20 (step t375 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t376 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t377 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t378 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t379 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t380 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t381 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t382 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t383 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t374 t375 t376 t377 t378 t379 t380 t381 t382))
% 10.61/11.20 (step t384 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t383))
% 10.61/11.20 (step t385 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t384))
% 10.61/11.20 (step t386 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t373 t385))
% 10.61/11.20 (step t387 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t388 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t386 t387))
% 10.61/11.20 (step t389 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t388))
% 10.61/11.20 (step t390 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t389))
% 10.61/11.20 (step t391 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t372 t390))
% 10.61/11.20 (step t392 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t393)
% 10.61/11.20 (assume t393.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t393.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 10.61/11.20 (step t393.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t393.t1))
% 10.61/11.20 (step t393.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t393.t2 t393.a0))
% 10.61/11.20 (step t393 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t393.a0))
% 10.61/11.20 (step t394 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t392 t393))
% 10.61/11.20 (step t395 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.20 (step t396 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t394 t395))
% 10.61/11.20 (step t397 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t396))
% 10.61/11.20 (step t398 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t397))
% 10.61/11.20 (step t399 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t398 a2))
% 10.61/11.20 (step t400 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t401)
% 10.61/11.20 (assume t401.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.20 (step t401.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c1)) (:= Y tptp.sk_c1) (:= Z tptp.sk_c7)))
% 10.61/11.20 (step t401.t2 (cl (not (forall ((X $$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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule or :premises (t401.t1))
% 10.61/11.20 (step t401.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t401.t2 t401.a0))
% 10.61/11.20 (step t401 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule subproof :discharge (t401.a0))
% 10.61/11.20 (step t402 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t400 t401))
% 10.61/11.20 (step t403 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t404 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t402 t403))
% 10.61/11.20 (step t405 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule contraction :premises (t404))
% 10.61/11.20 (step t406 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies :premises (t405))
% 10.61/11.20 (step t407 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t406 a2))
% 10.61/11.20 (step t408 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t409)
% 10.61/11.20 (assume t409.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t409.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 10.61/11.20 (step t409.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t409.t1))
% 10.61/11.20 (step t409.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t409.t2 t409.a0))
% 10.61/11.20 (step t409 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t409.a0))
% 10.61/11.20 (step t410 (cl (=> (forall ((X $$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 (t408 t409))
% 10.61/11.20 (step t411 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.20 (step t412 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t410 t411))
% 10.61/11.20 (step t413 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t412))
% 10.61/11.20 (step t414 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule implies :premises (t413))
% 10.61/11.20 (step t415 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t414 t173))
% 10.61/11.20 (step t416 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t417)
% 10.61/11.20 (assume t417.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t417.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 10.61/11.20 (step t417.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t417.t1))
% 10.61/11.20 (step t417.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t417.t2 t417.a0))
% 10.61/11.20 (step t417 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t417.a0))
% 10.61/11.20 (step t418 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t416 t417))
% 10.61/11.20 (step t419 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 10.61/11.20 (step t420 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t418 t419))
% 10.61/11.20 (step t421 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t420))
% 10.61/11.20 (step t422 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t421))
% 10.61/11.20 (step t423 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t422 t173))
% 10.61/11.20 (step t424 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule or_pos)
% 10.61/11.20 (step t425 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule reordering :premises (t424))
% 10.61/11.20 (step t426 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t427)
% 10.61/11.20 (assume t427.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))
% 10.61/11.20 (step t427.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 10.61/11.20 (step t427.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule or :premises (t427.t1))
% 10.61/11.20 (step t427.t3 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t427.t2 t427.a0))
% 10.61/11.20 (step t427 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule subproof :discharge (t427.a0))
% 10.61/11.20 (step t428 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t426 t427))
% 10.61/11.20 (step t429 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule implies_neg2)
% 10.61/11.20 (step t430 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule resolution :premises (t428 t429))
% 10.61/11.20 (step t431 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule contraction :premises (t430))
% 10.61/11.20 (step t432 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule implies :premises (t431))
% 10.61/11.20 (step t433 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t434)
% 10.61/11.20 (assume t434.a0 (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))
% 10.61/11.20 (step t434.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 10.61/11.20 (step t434.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t434.t1))
% 10.61/11.20 (step t434.t3 (cl (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t434.t2 t434.a0))
% 10.61/11.20 (step t434 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t434.a0))
% 10.61/11.20 (step t435 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t433 t434))
% 10.61/11.20 (step t436 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 10.61/11.20 (step t437 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t435 t436))
% 10.61/11.20 (step t438 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t437))
% 10.61/11.20 (step t439 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t438))
% 10.61/11.20 (step t440 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 10.61/11.20 (step t441 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t440))
% 10.61/11.20 (step t442 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t391 t399 t407 t415 t423 t233 t241 t425 t432 t29 t439 t441 t334))
% 10.61/11.20 (step t443 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule contraction :premises (t442))
% 10.61/11.20 (step t444 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 10.61/11.20 (step t445 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t446)
% 10.61/11.20 (assume t446.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t446.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t446.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t446.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t446.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t446.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t446.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t446.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t446.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t446.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t446.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (assume t446.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (step t446.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t446.t2)
% 10.61/11.20 (assume t446.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t446.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t446.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (assume t446.t2.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t446.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t446.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t446.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t446.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t446.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t446.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t446.t2.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (assume t446.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (step t446.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t446.t2.a11))
% 10.61/11.20 (step t446.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t446.t2.t1))
% 10.61/11.20 (step t446.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t446.t2.a10))
% 10.61/11.20 (step t446.t2.t4 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule symm :premises (t446.t2.t3))
% 10.61/11.20 (step t446.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.20 (step t446.t2.t6 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t446.t2.a0))
% 10.61/11.20 (step t446.t2.t7 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t446.t2.t6))
% 10.61/11.20 (step t446.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t446.t2.a7))
% 10.61/11.20 (step t446.t2.t9 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t446.t2.t8))
% 10.61/11.20 (step t446.t2.t10 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t446.t2.t7 t446.t2.t9))
% 10.61/11.20 (step t446.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t446.t2.a8))
% 10.61/11.20 (step t446.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t446.t2.t11))
% 10.61/11.20 (step t446.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t446.t2.t12))
% 10.61/11.20 (step t446.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t446.t2.a9))
% 10.61/11.20 (step t446.t2.t15 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t446.t2.t14))
% 10.61/11.20 (step t446.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t446.t2.t15))
% 10.61/11.20 (step t446.t2.t17 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.20 (step t446.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t446.t2.t16 t446.t2.t17))
% 10.61/11.20 (step t446.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t446.t2.a1))
% 10.61/11.20 (step t446.t2.t20 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t446.t2.t19))
% 10.61/11.20 (step t446.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t446.t2.t20))
% 10.61/11.20 (step t446.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t446.t2.t10 t446.t2.t13 t446.t2.t18 t446.t2.t21))
% 10.61/11.20 (step t446.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t446.t2.t5 t446.t2.t22))
% 10.61/11.20 (step t446.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t446.t2.t23))
% 10.61/11.20 (step t446.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t446.t2.a6))
% 10.61/11.20 (step t446.t2.t26 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t446.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t446.t2.a5 t446.t2.t26))
% 10.61/11.20 (step t446.t2.t28 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t446.t2.t27))
% 10.61/11.20 (step t446.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t446.t2.a4))
% 10.61/11.20 (step t446.t2.t30 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t446.t2.a3))
% 10.61/11.20 (step t446.t2.t31 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t446.t2.t30))
% 10.61/11.20 (step t446.t2.t32 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t446.t2.a5 t446.t2.t24 t446.t2.t25 t446.t2.t28 t446.t2.t29 t446.t2.t31))
% 10.61/11.20 (step t446.t2.t33 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.20 (step t446.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t446.t2.t32 t446.t2.t33))
% 10.61/11.20 (step t446.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t446.t2.a2))
% 10.61/11.20 (step t446.t2.t36 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t446.t2.t35))
% 10.61/11.20 (step t446.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t446.t2.t36))
% 10.61/11.20 (step t446.t2.t38 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t446.t2.t4 t446.t2.t34 t446.t2.t37))
% 10.61/11.20 (step t446.t2.t39 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t446.t2.t22))
% 10.61/11.20 (step t446.t2.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t446.t2.t26 t446.t2.t39))
% 10.61/11.20 (step t446.t2.t41 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t446.t2.t29))
% 10.61/11.20 (step t446.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t446.t2.t25))
% 10.61/11.20 (step t446.t2.t43 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t446.t2.a5))
% 10.61/11.20 (step t446.t2.t44 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t446.t2.t41 t446.t2.t27 t446.t2.t42 t446.t2.t23 t446.t2.t43))
% 10.61/11.20 (step t446.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t446.t2.t44 t446.t2.t22))
% 10.61/11.20 (step t446.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7)) :rule trans :premises (t446.t2.t40 t446.t2.t45 t446.t2.t21))
% 10.61/11.20 (step t446.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t446.t2.t38 t446.t2.t46))
% 10.61/11.20 (step t446.t2.t48 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t446.t2.t2 t446.t2.t47 t446.t2.t21 t446.t2.t7))
% 10.61/11.20 (step t446.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t446.t2.a0 t446.t2.a1 t446.t2.a2 t446.t2.a3 t446.t2.a4 t446.t2.a5 t446.t2.a6 t446.t2.a7 t446.t2.a8 t446.t2.a9 t446.t2.a10 t446.t2.a11))
% 10.61/11.20 (step t446.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t446.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t446.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t446.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t446.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t446.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t446.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t446.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t446.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t446.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t446.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t446.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t446.t15 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t446.t2 t446.t3 t446.t4 t446.t5 t446.t6 t446.t7 t446.t8 t446.t9 t446.t10 t446.t11 t446.t12 t446.t13 t446.t14))
% 10.61/11.20 (step t446.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t446.t15))
% 10.61/11.20 (step t446.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t446.t16))
% 10.61/11.20 (step t446.t18 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t446.t1 t446.t17))
% 10.61/11.20 (step t446.t19 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.20 (step t446.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t446.t18 t446.t19))
% 10.61/11.20 (step t446.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t446.t20))
% 10.61/11.20 (step t446.t22 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t446.t21))
% 10.61/11.20 (step t446.t23 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_neg)
% 10.61/11.20 (step t446.t24 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t446.t23 t446.a2 t446.a5 t446.a11 t446.a1 t446.a4 t446.a6 t446.a9 t446.a0 t446.a8 t446.a7 t446.a10 t446.a3))
% 10.61/11.20 (step t446.t25 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t446.t22 t446.t24))
% 10.61/11.20 (step t446 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t446.a0 t446.a1 t446.a2 t446.a3 t446.a4 t446.a5 t446.a6 t446.a7 t446.a8 t446.a9 t446.a10 t446.a11))
% 10.61/11.20 (step t447 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t448 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t449 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t450 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t451 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t452 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t453 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t454 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t455 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t456 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t457 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t458 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t459 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t446 t447 t448 t449 t450 t451 t452 t453 t454 t455 t456 t457 t458))
% 10.61/11.20 (step t460 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t459))
% 10.61/11.20 (step t461 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t460))
% 10.61/11.20 (step t462 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t445 t461))
% 10.61/11.20 (step t463 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.20 (step t464 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t462 t463))
% 10.61/11.20 (step t465 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t464))
% 10.61/11.20 (step t466 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t465))
% 10.61/11.20 (step t467 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t444 t466))
% 10.61/11.20 (step t468 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t467))
% 10.61/11.20 (step t469 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t470)
% 10.61/11.20 (assume t470.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t470.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t470.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t470.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t470.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t470.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t470.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t470.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t470.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t470.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t470.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (assume t470.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (step t470.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t470.t2)
% 10.61/11.20 (assume t470.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t470.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t470.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t470.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t470.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t470.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t470.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t470.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t470.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.20 (assume t470.t2.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 10.61/11.20 (assume t470.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.20 (assume t470.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.20 (step t470.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t470.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t470.t2.a7))
% 10.61/11.20 (step t470.t2.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t470.t2.t2))
% 10.61/11.20 (step t470.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t470.t2.a6))
% 10.61/11.20 (step t470.t2.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t470.t2.t4))
% 10.61/11.20 (step t470.t2.t6 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.20 (step t470.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t470.t2.t5 t470.t2.t6))
% 10.61/11.20 (step t470.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t470.t2.a5))
% 10.61/11.20 (step t470.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t470.t2.t8))
% 10.61/11.20 (step t470.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t470.t2.a3))
% 10.61/11.20 (step t470.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t470.t2.a4))
% 10.61/11.20 (step t470.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t470.t2.t10 t470.t2.t11))
% 10.61/11.20 (step t470.t2.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t470.t2.t3 t470.t2.t7 t470.t2.t9 t470.t2.t12))
% 10.61/11.20 (step t470.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t470.t2.t13))
% 10.61/11.20 (step t470.t2.t15 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t470.t2.t1 t470.t2.t14))
% 10.61/11.20 (step t470.t2.t16 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t470.t2.t15))
% 10.61/11.20 (step t470.t2.t17 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.20 (step t470.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t470.t2.t17 t470.t2.t13))
% 10.61/11.20 (step t470.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t470.t2.a2))
% 10.61/11.20 (step t470.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t470.t2.a1))
% 10.61/11.20 (step t470.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t470.t2.t20 t470.t2.t1))
% 10.61/11.20 (step t470.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t470.t2.a0))
% 10.61/11.20 (step t470.t2.t23 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t470.t2.a1 t470.t2.t18 t470.t2.t19 t470.t2.t21 t470.t2.t22))
% 10.61/11.20 (step t470.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t470.t2.t23 t470.t2.t13))
% 10.61/11.20 (step t470.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t470.t2.t24))
% 10.61/11.20 (step t470.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t470.t2.a11))
% 10.61/11.20 (step t470.t2.t27 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t470.t2.t26))
% 10.61/11.20 (step t470.t2.t28 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t470.t2.a10))
% 10.61/11.20 (step t470.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t470.t2.t21))
% 10.61/11.20 (step t470.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t470.t2.t18))
% 10.61/11.20 (step t470.t2.t31 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t470.t2.t28 t470.t2.a0 t470.t2.t29 t470.t2.a2 t470.t2.t30 t470.t2.t20))
% 10.61/11.20 (step t470.t2.t32 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.20 (step t470.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t470.t2.t31 t470.t2.t32))
% 10.61/11.20 (step t470.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t470.t2.a9))
% 10.61/11.20 (step t470.t2.t35 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t470.t2.t27 t470.t2.t33 t470.t2.t34))
% 10.61/11.20 (step t470.t2.t36 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t470.t2.t3 t470.t2.t24 t470.t2.t15))
% 10.61/11.20 (step t470.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t470.t2.t35 t470.t2.t36))
% 10.61/11.20 (step t470.t2.t38 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t470.t2.a8))
% 10.61/11.20 (step t470.t2.t39 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.20 (step t470.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t470.t2.a3 t470.t2.t39))
% 10.61/11.20 (step t470.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule symm :premises (t470.t2.t40))
% 10.61/11.20 (step t470.t2.t42 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t470.t2.t3 t470.t2.t37 t470.t2.t38 t470.t2.a0 t470.t2.t29 t470.t2.a2 t470.t2.t30 t470.t2.t20 t470.t2.t5 t470.t2.t41))
% 10.61/11.20 (step t470.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t470.t2.t39 t470.t2.t42))
% 10.61/11.20 (step t470.t2.t44 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c6)) :rule trans :premises (t470.t2.t40 t470.t2.t4 t470.t2.a1 t470.t2.t18 t470.t2.t19 t470.t2.t21 t470.t2.t22))
% 10.61/11.20 (step t470.t2.t45 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t470.t2.t39 t470.t2.t44))
% 10.61/11.20 (step t470.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t470.t2.t16 t470.t2.t25 t470.t2.t37 t470.t2.t38 t470.t2.a4 t470.t2.t43 t470.t2.t45))
% 10.61/11.20 (step t470.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t470.t2.a0 t470.t2.a1 t470.t2.a2 t470.t2.a3 t470.t2.a4 t470.t2.a5 t470.t2.a6 t470.t2.a7 t470.t2.a8 t470.t2.a9 t470.t2.a10 t470.t2.a11))
% 10.61/11.20 (step t470.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t470.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (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_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t470.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t470.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t470.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t470.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t470.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (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)
% 10.61/11.20 (step t470.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t470.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t470.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (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)
% 10.61/11.20 (step t470.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t470.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (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)
% 10.61/11.20 (step t470.t15 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t470.t2 t470.t3 t470.t4 t470.t5 t470.t6 t470.t7 t470.t8 t470.t9 t470.t10 t470.t11 t470.t12 t470.t13 t470.t14))
% 10.61/11.20 (step t470.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t470.t15))
% 10.61/11.20 (step t470.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t470.t16))
% 10.61/11.20 (step t470.t18 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t470.t1 t470.t17))
% 10.61/11.20 (step t470.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.20 (step t470.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t470.t18 t470.t19))
% 10.61/11.20 (step t470.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t470.t20))
% 10.61/11.20 (step t470.t22 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t470.t21))
% 10.61/11.20 (step t470.t23 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule and_neg)
% 10.61/11.20 (step t470.t24 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t470.t23 t470.a4 t470.a6 t470.a9 t470.a2 t470.a0 t470.a8 t470.a7 t470.a5 t470.a3 t470.a10 t470.a1 t470.a11))
% 10.61/11.20 (step t470.t25 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t470.t22 t470.t24))
% 10.61/11.20 (step t470 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t470.a0 t470.a1 t470.a2 t470.a3 t470.a4 t470.a5 t470.a6 t470.a7 t470.a8 t470.a9 t470.a10 t470.a11))
% 10.61/11.20 (step t471 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t472 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.20 (step t473 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t474 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t475 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t476 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t477 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t478 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t479 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t480 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t481 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t482 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= 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)
% 10.61/11.20 (step t483 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))))) :rule resolution :premises (t470 t471 t472 t473 t474 t475 t476 t477 t478 t479 t480 t481 t482))
% 10.61/11.20 (step t484 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t483))
% 10.61/11.20 (step t485 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t484))
% 10.61/11.20 (step t486 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t469 t485))
% 10.61/11.20 (step t487 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.20 (step t488 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t486 t487))
% 10.61/11.20 (step t489 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t488))
% 10.61/11.20 (step t490 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t489))
% 10.61/11.20 (step t491 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t444 t490))
% 10.61/11.20 (step t492 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t491))
% 10.61/11.20 (step t493 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.61/11.20 (step t494 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule all_simplify)
% 10.61/11.20 (step t495 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t494 t341))
% 10.61/11.20 (step t496 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.20 (step t497 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule refl)
% 10.61/11.20 (step t498 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule cong :premises (t496 t497))
% 10.61/11.20 (step t499 (cl (= (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule refl)
% 10.61/11.20 (step t500 (cl (= (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t498 t499))
% 10.61/11.20 (step t501 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule trans :premises (t495 t500))
% 10.61/11.20 (step t502 (cl (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t493 t501 a13))
% 10.61/11.20 (step t503 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t502))
% 10.61/11.20 (step t504 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t503))
% 10.61/11.20 (step t505 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule resolution :premises (t443 t468 t174 t310 t399 t407 t415 t423 t233 t241 t492 t174 t310 t399 t407 t415 t423 t233 t241 t336 t504))
% 10.61/11.20 (step t506 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule contraction :premises (t505))
% 10.61/11.20 (step t507 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.61/11.20 (step t508 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t494 t347))
% 10.61/11.20 (step t509 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.20 (step t510 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule refl)
% 10.61/11.20 (step t511 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule cong :premises (t509 t510))
% 10.61/11.20 (step t512 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule refl)
% 10.61/11.20 (step t513 (cl (= (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t511 t512))
% 10.61/11.20 (step t514 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule trans :premises (t508 t513))
% 10.61/11.20 (step t515 (cl (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t507 t514 a14))
% 10.61/11.20 (step t516 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t515))
% 10.61/11.20 (step t517 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t516))
% 10.61/11.20 (step t518 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_pos2)
% 10.61/11.20 (step t519 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t494 t353))
% 10.61/11.20 (step t520 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.20 (step t521 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule refl)
% 10.61/11.20 (step t522 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule cong :premises (t520 t521))
% 10.61/11.20 (step t523 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t524 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.20 (step t525 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t524 t520))
% 10.61/11.20 (step t526 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t523 t525))
% 10.61/11.20 (step t527 (cl (= (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t522 t526))
% 10.61/11.20 (step t528 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule trans :premises (t519 t527))
% 10.61/11.20 (step t529 (cl (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t518 t528 a15))
% 10.61/11.20 (step t530 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t529))
% 10.61/11.20 (step t531 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t530))
% 10.61/11.20 (step t532 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.61/11.20 (step t533 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t494 t71))
% 10.61/11.20 (step t534 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.20 (step t535 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule refl)
% 10.61/11.20 (step t536 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule cong :premises (t534 t535))
% 10.61/11.20 (step t537 (cl (= (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule refl)
% 10.61/11.20 (step t538 (cl (= (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t536 t537))
% 10.61/11.20 (step t539 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule trans :premises (t533 t538))
% 10.61/11.20 (step t540 (cl (or (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t532 t539 a12))
% 10.61/11.20 (step t541 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t540))
% 10.61/11.20 (step t542 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t541))
% 10.61/11.20 (step t543 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule resolution :premises (t506 t517 t531 t542))
% 10.61/11.20 (step t544 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule contraction :premises (t543))
% 10.61/11.20 (step t545 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 10.61/11.20 (step t546 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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)
% 10.61/11.20 (anchor :step t547)
% 10.61/11.20 (assume t547.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t547.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t547.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.20 (assume t547.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.20 (assume t547.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.20 (assume t547.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t547.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t547.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t547.a8 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 10.61/11.20 (assume t547.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t547.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t547.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t547.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 10.61/11.20 (assume t547.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.20 (assume t547.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.20 (step t547.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t547.t2)
% 10.61/11.20 (assume t547.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 10.61/11.20 (assume t547.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.20 (assume t547.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.20 (assume t547.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.20 (assume t547.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.20 (assume t547.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.20 (assume t547.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.20 (assume t547.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.20 (assume t547.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.20 (assume t547.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 10.61/11.20 (assume t547.t2.a10 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.20 (assume t547.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.20 (assume t547.t2.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.20 (assume t547.t2.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.20 (assume t547.t2.a14 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.20 (step t547.t2.t1 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t547.t2.a1))
% 10.61/11.20 (step t547.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.20 (step t547.t2.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t547.t2.t1 t547.t2.t2))
% 10.61/11.20 (step t547.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t547.t2.t3))
% 10.61/11.20 (step t547.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.20 (step t547.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t547.t2.a2))
% 10.61/11.20 (step t547.t2.t7 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t547.t2.t6))
% 10.61/11.20 (step t547.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t547.t2.a3))
% 10.61/11.20 (step t547.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t547.t2.t8))
% 10.61/11.20 (step t547.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.20 (step t547.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t547.t2.t9 t547.t2.t10))
% 10.61/11.20 (step t547.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t547.t2.a4))
% 10.61/11.20 (step t547.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t547.t2.t12))
% 10.61/11.20 (step t547.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t547.t2.a5))
% 10.61/11.20 (step t547.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t547.t2.a6))
% 10.61/11.20 (step t547.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t547.t2.t14 t547.t2.t15))
% 10.61/11.20 (step t547.t2.t17 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t547.t2.t7 t547.t2.t11 t547.t2.t13 t547.t2.t16))
% 10.61/11.20 (step t547.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t547.t2.t5 t547.t2.t17))
% 10.61/11.20 (step t547.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t547.t2.t18))
% 10.61/11.20 (step t547.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t547.t2.a10))
% 10.61/11.20 (step t547.t2.t21 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t547.t2.t20))
% 10.61/11.20 (step t547.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t547.t2.a7))
% 10.61/11.20 (step t547.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t547.t2.a8))
% 10.61/11.20 (step t547.t2.t24 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.20 (step t547.t2.t25 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t547.t2.a1 t547.t2.t18 t547.t2.t22 t547.t2.t3 t547.t2.t23))
% 10.61/11.20 (step t547.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t547.t2.t25 t547.t2.t17))
% 10.61/11.20 (step t547.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t547.t2.t17))
% 10.61/11.20 (step t547.t2.t28 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t547.t2.t2 t547.t2.t27))
% 10.61/11.20 (step t547.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t547.t2.a11))
% 10.61/11.20 (step t547.t2.t30 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t547.t2.t29))
% 10.61/11.20 (step t547.t2.t31 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t547.t2.a12))
% 10.61/11.20 (step t547.t2.t32 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t547.t2.t31 t547.t2.a8 t547.t2.t4 t547.t2.a7 t547.t2.t19 t547.t2.t1))
% 10.61/11.20 (step t547.t2.t33 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.61/11.20 (step t547.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t547.t2.t32 t547.t2.t33))
% 10.61/11.20 (step t547.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t547.t2.a13))
% 10.61/11.20 (step t547.t2.t36 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t547.t2.t30 t547.t2.t34 t547.t2.t35))
% 10.61/11.20 (step t547.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t547.t2.t36 t547.t2.t25))
% 10.61/11.20 (step t547.t2.t38 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t547.t2.t37))
% 10.61/11.20 (step t547.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t547.t2.t14 t547.t2.t24))
% 10.61/11.20 (step t547.t2.t40 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t547.t2.t7 t547.t2.t26 t547.t2.t28 t547.t2.a14 t547.t2.t38 t547.t2.t20 t547.t2.t9 t547.t2.t39))
% 10.61/11.20 (step t547.t2.t41 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t547.t2.t24 t547.t2.t40))
% 10.61/11.20 (step t547.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule symm :premises (t547.t2.a9))
% 10.61/11.20 (step t547.t2.t43 (cl (= tptp.sk_c6 tptp.identity)) :rule symm :premises (t547.t2.t25))
% 10.61/11.20 (step t547.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t547.t2.t15 t547.t2.t43))
% 10.61/11.20 (step t547.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t547.t2.t44 t547.t2.t24))
% 10.61/11.20 (step t547.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t547.t2.a0))
% 10.61/11.20 (step t547.t2.t47 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t547.t2.a1 t547.t2.t18 t547.t2.t22 t547.t2.t3 t547.t2.t23 t547.t2.a6 t547.t2.t41 t547.t2.t42 t547.t2.t45 t547.t2.t46))
% 10.61/11.20 (step t547.t2.t48 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t547.t2.a14))
% 10.61/11.20 (step t547.t2.t49 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t547.t2.t21 t547.t2.t37 t547.t2.t48))
% 10.61/11.20 (step t547.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t547.t2.t47 t547.t2.t49))
% 10.61/11.20 (step t547.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule trans :premises (t547.t2.a8 t547.t2.t4 t547.t2.a7 t547.t2.t19 t547.t2.t1 t547.t2.t21 t547.t2.t50))
% 10.61/11.20 (step t547.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t547.t2.a0 t547.t2.a1 t547.t2.a2 t547.t2.a3 t547.t2.a4 t547.t2.a5 t547.t2.a6 t547.t2.a7 t547.t2.a8 t547.t2.a9 t547.t2.a10 t547.t2.a11 t547.t2.a12 t547.t2.a13 t547.t2.a14))
% 10.61/11.20 (step t547.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t547.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t547.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t547.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t547.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t547.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t547.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t547.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t547.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t547.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 10.61/11.20 (step t547.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.20 (step t547.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.61/11.20 (step t547.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.20 (step t547.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.61/11.20 (step t547.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t547.t18 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t547.t2 t547.t3 t547.t4 t547.t5 t547.t6 t547.t7 t547.t8 t547.t9 t547.t10 t547.t11 t547.t12 t547.t13 t547.t14 t547.t15 t547.t16 t547.t17))
% 10.61/11.20 (step t547.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t547.t18))
% 10.61/11.20 (step t547.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t547.t19))
% 10.61/11.20 (step t547.t21 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t547.t1 t547.t20))
% 10.61/11.20 (step t547.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t547.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t547.t21 t547.t22))
% 10.61/11.20 (step t547.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t547.t23))
% 10.61/11.20 (step t547.t25 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t547.t24))
% 10.61/11.20 (step t547.t26 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_neg)
% 10.61/11.20 (step t547.t27 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t547.t26 t547.a8 t547.a7 t547.a6 t547.a9 t547.a10 t547.a1 t547.a0 t547.a11 t547.a5 t547.a12 t547.a4 t547.a14 t547.a2 t547.a13 t547.a3))
% 10.61/11.20 (step t547.t28 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t547.t25 t547.t27))
% 10.61/11.20 (step t547 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t547.a0 t547.a1 t547.a2 t547.a3 t547.a4 t547.a5 t547.a6 t547.a7 t547.a8 t547.a9 t547.a10 t547.a11 t547.a12 t547.a13 t547.a14))
% 10.61/11.20 (step t548 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t549 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t550 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.20 (step t551 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t552 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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)
% 10.61/11.20 (step t553 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.20 (step t554 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t555 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.20 (step t556 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 10.61/11.20 (step t557 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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)
% 10.61/11.20 (step t558 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.20 (step t559 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (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_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.20 (step t560 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 10.61/11.20 (step t561 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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)
% 10.61/11.20 (step t562 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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)
% 10.61/11.20 (step t563 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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 (t547 t548 t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559 t560 t561 t562))
% 10.61/11.20 (step t564 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t563))
% 10.61/11.20 (step t565 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t564))
% 10.61/11.20 (step t566 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t546 t565))
% 10.61/11.20 (step t567 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.20 (step t568 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t566 t567))
% 10.61/11.20 (step t569 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t568))
% 10.61/11.20 (step t570 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t569))
% 10.61/11.20 (step t571 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t545 t570))
% 10.61/11.20 (step t572 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t571))
% 10.61/11.20 (step t573 (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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 10.61/11.20 (anchor :step t574)
% 10.61/11.20 (assume t574.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 10.61/11.20 (step t574.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.61/11.20 (step t574.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t574.t1))
% 10.61/11.20 (step t574.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t574.t2 t574.a0))
% 10.61/11.21 (step t574 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t574.a0))
% 10.61/11.21 (step t575 (cl (=> (forall ((X $$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 (t573 t574))
% 10.61/11.21 (step t576 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 10.61/11.21 (step t577 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t575 t576))
% 10.61/11.21 (step t578 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t577))
% 10.61/11.21 (step t579 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t578))
% 10.61/11.21 (step t580 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t579 t173))
% 10.61/11.21 (step t581 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t582)
% 10.61/11.21 (assume t582.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.21 (step t582.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 10.61/11.21 (step t582.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t582.t1))
% 10.61/11.21 (step t582.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t582.t2 t582.a0))
% 10.61/11.21 (step t582 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t582.a0))
% 10.61/11.21 (step t583 (cl (=> (forall ((X $$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 (t581 t582))
% 10.61/11.21 (step t584 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 10.61/11.21 (step t585 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t583 t584))
% 10.61/11.21 (step t586 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t585))
% 10.61/11.21 (step t587 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t586))
% 10.61/11.21 (step t588 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t587 t208))
% 10.61/11.21 (step t589 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t590)
% 10.61/11.21 (assume t590.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.21 (step t590.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c1)))
% 10.61/11.21 (step t590.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule or :premises (t590.t1))
% 10.61/11.21 (step t590.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t590.t2 t590.a0))
% 10.61/11.21 (step t590 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule subproof :discharge (t590.a0))
% 10.61/11.21 (step t591 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t589 t590))
% 10.61/11.21 (step t592 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule implies_neg2)
% 10.61/11.21 (step t593 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule resolution :premises (t591 t592))
% 10.61/11.21 (step t594 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule contraction :premises (t593))
% 10.61/11.21 (step t595 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule implies :premises (t594))
% 10.61/11.21 (step t596 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t595 a2))
% 10.61/11.21 (step t597 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t598)
% 10.61/11.21 (assume t598.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.21 (step t598.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 10.61/11.21 (step t598.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t598.t1))
% 10.61/11.21 (step t598.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t598.t2 t598.a0))
% 10.61/11.21 (step t598 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t598.a0))
% 10.61/11.21 (step t599 (cl (=> (forall ((X $$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 (t597 t598))
% 10.61/11.21 (step t600 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.21 (step t601 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t599 t600))
% 10.61/11.21 (step t602 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t601))
% 10.61/11.21 (step t603 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t602))
% 10.61/11.21 (step t604 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t603 t208))
% 10.61/11.21 (step t605 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t606)
% 10.61/11.21 (assume t606.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 10.61/11.21 (step t606.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 10.61/11.21 (step t606.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t606.t1))
% 10.61/11.21 (step t606.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t606.t2 t606.a0))
% 10.61/11.21 (step t606 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t606.a0))
% 10.61/11.21 (step t607 (cl (=> (forall ((X $$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 (t605 t606))
% 10.61/11.21 (step t608 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 10.61/11.21 (step t609 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t607 t608))
% 10.61/11.21 (step t610 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t609))
% 10.61/11.21 (step t611 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t610))
% 10.61/11.21 (step t612 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t611 t208))
% 10.61/11.21 (step t613 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 10.61/11.21 (step t614 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t615)
% 10.61/11.21 (assume t615.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t615.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t615.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t615.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (assume t615.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (assume t615.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t615.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t615.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t615.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t615.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t615.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t615.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t615.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (step t615.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t615.t2)
% 10.61/11.21 (assume t615.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t615.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t615.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t615.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t615.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t615.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t615.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t615.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t615.t2.a8 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (assume t615.t2.a9 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t615.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t615.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (assume t615.t2.a12 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (step t615.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t615.t2.a7))
% 10.61/11.21 (step t615.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t615.t2.t1))
% 10.61/11.21 (step t615.t2.t3 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t615.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t615.t2.a2 t615.t2.t3))
% 10.61/11.21 (step t615.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t615.t2.a6))
% 10.61/11.21 (step t615.t2.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t615.t2.t5))
% 10.61/11.21 (step t615.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.21 (step t615.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t615.t2.a0))
% 10.61/11.21 (step t615.t2.t9 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t615.t2.t8))
% 10.61/11.21 (step t615.t2.t10 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t615.t2.a5))
% 10.61/11.21 (step t615.t2.t11 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t615.t2.t10))
% 10.61/11.21 (step t615.t2.t12 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t615.t2.t9 t615.t2.t11))
% 10.61/11.21 (step t615.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t615.t2.a4))
% 10.61/11.21 (step t615.t2.t14 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t615.t2.t13))
% 10.61/11.21 (step t615.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t615.t2.t14))
% 10.61/11.21 (step t615.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t615.t2.a3))
% 10.61/11.21 (step t615.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t615.t2.t16))
% 10.61/11.21 (step t615.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t615.t2.t17))
% 10.61/11.21 (step t615.t2.t19 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.21 (step t615.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t615.t2.t18 t615.t2.t19))
% 10.61/11.21 (step t615.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t615.t2.a1))
% 10.61/11.21 (step t615.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t615.t2.t21))
% 10.61/11.21 (step t615.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t615.t2.t22))
% 10.61/11.21 (step t615.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t615.t2.t12 t615.t2.t15 t615.t2.t20 t615.t2.t23))
% 10.61/11.21 (step t615.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t615.t2.t7 t615.t2.t24))
% 10.61/11.21 (step t615.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t615.t2.a2))
% 10.61/11.21 (step t615.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t615.t2.a12))
% 10.61/11.21 (step t615.t2.t28 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t615.t2.t27))
% 10.61/11.21 (step t615.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t615.t2.a11))
% 10.61/11.21 (step t615.t2.t30 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t615.t2.t29))
% 10.61/11.21 (step t615.t2.t31 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t615.t2.a10))
% 10.61/11.21 (step t615.t2.t32 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t615.t2.t31 t615.t2.t2 t615.t2.t4 t615.t2.t6 t615.t2.t25 t615.t2.t26))
% 10.61/11.21 (step t615.t2.t33 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.61/11.21 (step t615.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t615.t2.t32 t615.t2.t33))
% 10.61/11.21 (step t615.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t615.t2.a9))
% 10.61/11.21 (step t615.t2.t36 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t615.t2.t30 t615.t2.t34 t615.t2.t35))
% 10.61/11.21 (step t615.t2.t37 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t615.t2.t2 t615.t2.t4 t615.t2.t6 t615.t2.t25 t615.t2.t26))
% 10.61/11.21 (step t615.t2.t38 (cl (= tptp.identity tptp.sk_c6)) :rule symm :premises (t615.t2.t37))
% 10.61/11.21 (step t615.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t615.t2.t36 t615.t2.t38))
% 10.61/11.21 (step t615.t2.t40 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t615.t2.a8))
% 10.61/11.21 (step t615.t2.t41 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t615.t2.t24))
% 10.61/11.21 (step t615.t2.t42 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t615.t2.t3 t615.t2.t41))
% 10.61/11.21 (step t615.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t615.t2.t37 t615.t2.t24))
% 10.61/11.21 (step t615.t2.t44 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t615.t2.t2 t615.t2.t4 t615.t2.t6 t615.t2.t25 t615.t2.t26 t615.t2.t28 t615.t2.t39 t615.t2.t40 t615.t2.t42 t615.t2.t43 t615.t2.t23 t615.t2.t9))
% 10.61/11.21 (step t615.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t615.t2.a0 t615.t2.a1 t615.t2.a2 t615.t2.a3 t615.t2.a4 t615.t2.a5 t615.t2.a6 t615.t2.a7 t615.t2.a8 t615.t2.a9 t615.t2.a10 t615.t2.a11 t615.t2.a12))
% 10.61/11.21 (step t615.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t615.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t615.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t615.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t615.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t615.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t615.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t615.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t615.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t615.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t615.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t615.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t615.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.21 (step t615.t16 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t615.t2 t615.t3 t615.t4 t615.t5 t615.t6 t615.t7 t615.t8 t615.t9 t615.t10 t615.t11 t615.t12 t615.t13 t615.t14 t615.t15))
% 10.61/11.21 (step t615.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t615.t16))
% 10.61/11.21 (step t615.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t615.t17))
% 10.61/11.21 (step t615.t19 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t615.t1 t615.t18))
% 10.61/11.21 (step t615.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.21 (step t615.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t615.t19 t615.t20))
% 10.61/11.21 (step t615.t22 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t615.t21))
% 10.61/11.21 (step t615.t23 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t615.t22))
% 10.61/11.21 (step t615.t24 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 10.61/11.21 (step t615.t25 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t615.t24 t615.a1 t615.a6 t615.a7 t615.a8 t615.a9 t615.a0 t615.a10 t615.a5 t615.a3 t615.a11 t615.a2 t615.a12 t615.a4))
% 10.61/11.21 (step t615.t26 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t615.t23 t615.t25))
% 10.61/11.21 (step t615 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t615.a0 t615.a1 t615.a2 t615.a3 t615.a4 t615.a5 t615.a6 t615.a7 t615.a8 t615.a9 t615.a10 t615.a11 t615.a12))
% 10.61/11.21 (step t616 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t617 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t618 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t619 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t620 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.21 (step t621 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t622 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t623 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t624 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t625 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t626 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t627 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t628 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t629 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t615 t616 t617 t618 t619 t620 t621 t622 t623 t624 t625 t626 t627 t628))
% 10.61/11.21 (step t630 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t629))
% 10.61/11.21 (step t631 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t630))
% 10.61/11.21 (step t632 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t614 t631))
% 10.61/11.21 (step t633 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 10.61/11.21 (step t634 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t632 t633))
% 10.61/11.21 (step t635 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t634))
% 10.61/11.21 (step t636 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t635))
% 10.61/11.21 (step t637 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t613 t636))
% 10.61/11.21 (step t638 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t637))
% 10.61/11.21 (step t639 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t640)
% 10.61/11.21 (assume t640.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 10.61/11.21 (step t640.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c6)))
% 10.61/11.21 (step t640.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule or :premises (t640.t1))
% 10.61/11.21 (step t640.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t640.t2 t640.a0))
% 10.61/11.21 (step t640 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule subproof :discharge (t640.a0))
% 10.61/11.21 (step t641 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t639 t640))
% 10.61/11.21 (step t642 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule implies_neg2)
% 10.61/11.21 (step t643 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t641 t642))
% 10.61/11.21 (step t644 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule contraction :premises (t643))
% 10.61/11.21 (step t645 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies :premises (t644))
% 10.61/11.21 (step t646 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule or_pos)
% 10.61/11.21 (step t647 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule reordering :premises (t646))
% 10.61/11.21 (step t648 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 10.61/11.21 (step t649 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)
% 10.61/11.21 (anchor :step t650)
% 10.61/11.21 (assume t650.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t650.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t650.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t650.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (assume t650.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (assume t650.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t650.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t650.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t650.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t650.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t650.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t650.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t650.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t650.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (step t650.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t650.t2)
% 10.61/11.21 (assume t650.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t650.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t650.t2.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t650.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t650.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t650.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t650.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t650.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t650.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t650.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (assume t650.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (assume t650.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t650.t2.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t650.t2.a13 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (step t650.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t650.t2.a5))
% 10.61/11.21 (step t650.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t650.t2.t1))
% 10.61/11.21 (step t650.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t650.t2.a7))
% 10.61/11.21 (step t650.t2.t4 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t650.t2.t5 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t650.t2.t3 t650.t2.t4))
% 10.61/11.21 (step t650.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t650.t2.t5))
% 10.61/11.21 (step t650.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.21 (step t650.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t650.t2.a4))
% 10.61/11.21 (step t650.t2.t9 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t650.t2.t8))
% 10.61/11.21 (step t650.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.21 (step t650.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t650.t2.t9 t650.t2.t10))
% 10.61/11.21 (step t650.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t650.t2.a3))
% 10.61/11.21 (step t650.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t650.t2.t12))
% 10.61/11.21 (step t650.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t650.t2.a2))
% 10.61/11.21 (step t650.t2.t15 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t650.t2.a0))
% 10.61/11.21 (step t650.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t650.t2.t14 t650.t2.t15))
% 10.61/11.21 (step t650.t2.t17 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t650.t2.t2 t650.t2.t11 t650.t2.t13 t650.t2.t16))
% 10.61/11.21 (step t650.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t650.t2.t7 t650.t2.t17))
% 10.61/11.21 (step t650.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t650.t2.t18))
% 10.61/11.21 (step t650.t2.t20 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t650.t2.a6 t650.t2.t6 t650.t2.a8 t650.t2.t19 t650.t2.t3))
% 10.61/11.21 (step t650.t2.t21 (cl (= tptp.identity tptp.sk_c6)) :rule symm :premises (t650.t2.t20))
% 10.61/11.21 (step t650.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t650.t2.t21 t650.t2.t17))
% 10.61/11.21 (step t650.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t650.t2.t17))
% 10.61/11.21 (step t650.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t650.t2.t4 t650.t2.t23))
% 10.61/11.21 (step t650.t2.t25 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t650.t2.a13))
% 10.61/11.21 (step t650.t2.t26 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t650.t2.t25))
% 10.61/11.21 (step t650.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t650.t2.a12))
% 10.61/11.21 (step t650.t2.t28 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t650.t2.t27))
% 10.61/11.21 (step t650.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t650.t2.a8))
% 10.61/11.21 (step t650.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t650.t2.a6))
% 10.61/11.21 (step t650.t2.t31 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t650.t2.a11))
% 10.61/11.21 (step t650.t2.t32 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t650.t2.t31))
% 10.61/11.21 (step t650.t2.t33 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t650.t2.a7 t650.t2.t18 t650.t2.t29 t650.t2.t5 t650.t2.t30 t650.t2.t32))
% 10.61/11.21 (step t650.t2.t34 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.61/11.21 (step t650.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t650.t2.t33 t650.t2.t34))
% 10.61/11.21 (step t650.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t650.t2.a10))
% 10.61/11.21 (step t650.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t650.t2.t36))
% 10.61/11.21 (step t650.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t650.t2.t37))
% 10.61/11.21 (step t650.t2.t39 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t650.t2.t28 t650.t2.t35 t650.t2.t38))
% 10.61/11.21 (step t650.t2.t40 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t650.t2.t39 t650.t2.t20))
% 10.61/11.21 (step t650.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t650.t2.a9))
% 10.61/11.21 (step t650.t2.t42 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t650.t2.t41))
% 10.61/11.21 (step t650.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t650.t2.t42))
% 10.61/11.21 (step t650.t2.t44 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.21 (step t650.t2.t45 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t650.t2.t44 t650.t2.t17))
% 10.61/11.21 (step t650.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t650.t2.a1))
% 10.61/11.21 (step t650.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t650.t2.t15 t650.t2.t4))
% 10.61/11.21 (step t650.t2.t48 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t650.t2.t2 t650.t2.t22 t650.t2.t24 t650.t2.t26 t650.t2.t40 t650.t2.t43 t650.t2.a7 t650.t2.t18 t650.t2.t29 t650.t2.t5 t650.t2.t30 t650.t2.a0 t650.t2.t45 t650.t2.t46 t650.t2.t47))
% 10.61/11.21 (step t650.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t650.t2.a0 t650.t2.a1 t650.t2.a2 t650.t2.a3 t650.t2.a4 t650.t2.a5 t650.t2.a6 t650.t2.a7 t650.t2.a8 t650.t2.a9 t650.t2.a10 t650.t2.a11 t650.t2.a12 t650.t2.a13))
% 10.61/11.21 (step t650.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t650.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t650.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t650.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t650.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t650.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t650.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t650.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t650.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t650.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.21 (step t650.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t650.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t650.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t650.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t650.t17 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t650.t2 t650.t3 t650.t4 t650.t5 t650.t6 t650.t7 t650.t8 t650.t9 t650.t10 t650.t11 t650.t12 t650.t13 t650.t14 t650.t15 t650.t16))
% 10.61/11.21 (step t650.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t650.t17))
% 10.61/11.21 (step t650.t19 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t650.t18))
% 10.61/11.21 (step t650.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t650.t1 t650.t19))
% 10.61/11.21 (step t650.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t650.t22 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t650.t20 t650.t21))
% 10.61/11.21 (step t650.t23 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t650.t22))
% 10.61/11.21 (step t650.t24 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t650.t23))
% 10.61/11.21 (step t650.t25 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_neg)
% 10.61/11.21 (step t650.t26 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t650.t25 t650.a0 t650.a11 t650.a1 t650.a9 t650.a8 t650.a6 t650.a5 t650.a7 t650.a10 t650.a4 t650.a13 t650.a2 t650.a12 t650.a3))
% 10.61/11.21 (step t650.t27 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t650.t24 t650.t26))
% 10.61/11.21 (step t650 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t650.a0 t650.a1 t650.a2 t650.a3 t650.a4 t650.a5 t650.a6 t650.a7 t650.a8 t650.a9 t650.a10 t650.a11 t650.a12 t650.a13))
% 10.61/11.21 (step t651 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t652 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t653 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t654 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t655 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)
% 10.61/11.21 (step t656 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t657 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t658 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t659 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)
% 10.61/11.21 (step t660 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t661 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (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_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t662 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t663 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)
% 10.61/11.21 (step t664 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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)
% 10.61/11.21 (step t665 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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 (t650 t651 t652 t653 t654 t655 t656 t657 t658 t659 t660 t661 t662 t663 t664))
% 10.61/11.21 (step t666 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= 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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t665))
% 10.61/11.21 (step t667 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t666))
% 10.61/11.21 (step t668 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t649 t667))
% 10.61/11.21 (step t669 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t670 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t668 t669))
% 10.61/11.21 (step t671 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t670))
% 10.61/11.21 (step t672 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t671))
% 10.61/11.21 (step t673 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t648 t672))
% 10.61/11.21 (step t674 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule reordering :premises (t673))
% 10.61/11.21 (step t675 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t676)
% 10.61/11.21 (assume t676.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t676.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t676.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t676.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (assume t676.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (assume t676.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t676.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t676.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t676.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t676.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t676.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t676.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t676.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (step t676.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t676.t2)
% 10.61/11.21 (assume t676.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t676.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 10.61/11.21 (assume t676.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t676.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 10.61/11.21 (assume t676.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t676.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 10.61/11.21 (assume t676.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 10.61/11.21 (assume t676.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t676.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 10.61/11.21 (assume t676.t2.a9 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 10.61/11.21 (assume t676.t2.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 10.61/11.21 (assume t676.t2.a11 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 10.61/11.21 (assume t676.t2.a12 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 10.61/11.21 (step t676.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t676.t2.a7))
% 10.61/11.21 (step t676.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t676.t2.t1))
% 10.61/11.21 (step t676.t2.t3 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 10.61/11.21 (step t676.t2.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t676.t2.a6))
% 10.61/11.21 (step t676.t2.t5 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t676.t2.t4))
% 10.61/11.21 (step t676.t2.t6 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.21 (step t676.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t676.t2.t5 t676.t2.t6))
% 10.61/11.21 (step t676.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t676.t2.a5))
% 10.61/11.21 (step t676.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t676.t2.t8))
% 10.61/11.21 (step t676.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t676.t2.a3))
% 10.61/11.21 (step t676.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t676.t2.a4))
% 10.61/11.21 (step t676.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t676.t2.t10 t676.t2.t11))
% 10.61/11.21 (step t676.t2.t13 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t676.t2.t2 t676.t2.t7 t676.t2.t9 t676.t2.t12))
% 10.61/11.21 (step t676.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t676.t2.t3 t676.t2.t13))
% 10.61/11.21 (step t676.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t676.t2.a2))
% 10.61/11.21 (step t676.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t676.t2.a1))
% 10.61/11.21 (step t676.t2.t17 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t676.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t676.t2.t16 t676.t2.t17))
% 10.61/11.21 (step t676.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t676.t2.a0))
% 10.61/11.21 (step t676.t2.t20 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t676.t2.a1 t676.t2.t14 t676.t2.t15 t676.t2.t18 t676.t2.t19))
% 10.61/11.21 (step t676.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t676.t2.t20 t676.t2.t13))
% 10.61/11.21 (step t676.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t676.t2.t13))
% 10.61/11.21 (step t676.t2.t23 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t676.t2.t17 t676.t2.t22))
% 10.61/11.21 (step t676.t2.t24 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t676.t2.a12))
% 10.61/11.21 (step t676.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t676.t2.t24))
% 10.61/11.21 (step t676.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t676.t2.a10))
% 10.61/11.21 (step t676.t2.t27 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule symm :premises (t676.t2.t26))
% 10.61/11.21 (step t676.t2.t28 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t676.t2.a9))
% 10.61/11.21 (step t676.t2.t29 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t676.t2.t28))
% 10.61/11.21 (step t676.t2.t30 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t676.t2.a1 t676.t2.t14 t676.t2.t15 t676.t2.t18 t676.t2.t19 t676.t2.t29))
% 10.61/11.21 (step t676.t2.t31 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 10.61/11.21 (step t676.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t676.t2.t30 t676.t2.t31))
% 10.61/11.21 (step t676.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t676.t2.a8))
% 10.61/11.21 (step t676.t2.t34 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t676.t2.t33))
% 10.61/11.21 (step t676.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t676.t2.t34))
% 10.61/11.21 (step t676.t2.t36 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t676.t2.t27 t676.t2.t32 t676.t2.t35))
% 10.61/11.21 (step t676.t2.t37 (cl (= tptp.sk_c6 tptp.identity)) :rule symm :premises (t676.t2.t20))
% 10.61/11.21 (step t676.t2.t38 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t676.t2.t36 t676.t2.t37))
% 10.61/11.21 (step t676.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t676.t2.a11))
% 10.61/11.21 (step t676.t2.t40 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t676.t2.t39))
% 10.61/11.21 (step t676.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t676.t2.t40))
% 10.61/11.21 (step t676.t2.t42 (cl (= (tptp.inverse tptp.sk_c2) (tptp.inverse tptp.identity))) :rule cong :premises (t676.t2.t36))
% 10.61/11.21 (step t676.t2.t43 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t676.t2.t20))
% 10.61/11.21 (step t676.t2.t44 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t676.t2.t2 t676.t2.t21 t676.t2.t23 t676.t2.t25 t676.t2.t38 t676.t2.t41 t676.t2.a1 t676.t2.t14 t676.t2.t15 t676.t2.t18 t676.t2.t19 t676.t2.t29 t676.t2.t42 t676.t2.t43))
% 10.61/11.21 (step t676.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t676.t2.a0 t676.t2.a1 t676.t2.a2 t676.t2.a3 t676.t2.a4 t676.t2.a5 t676.t2.a6 t676.t2.a7 t676.t2.a8 t676.t2.a9 t676.t2.a10 t676.t2.a11 t676.t2.a12))
% 10.61/11.21 (step t676.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t676.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t676.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t676.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t676.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t676.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t676.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t676.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t676.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t676.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t676.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t676.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.21 (step t676.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t676.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t676.t2 t676.t3 t676.t4 t676.t5 t676.t6 t676.t7 t676.t8 t676.t9 t676.t10 t676.t11 t676.t12 t676.t13 t676.t14 t676.t15))
% 10.61/11.21 (step t676.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t676.t16))
% 10.61/11.21 (step t676.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t676.t17))
% 10.61/11.21 (step t676.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t676.t1 t676.t18))
% 10.61/11.21 (step t676.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t676.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t676.t19 t676.t20))
% 10.61/11.21 (step t676.t22 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t676.t21))
% 10.61/11.21 (step t676.t23 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t676.t22))
% 10.61/11.21 (step t676.t24 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_neg)
% 10.61/11.21 (step t676.t25 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t676.t24 t676.a5 t676.a7 t676.a10 t676.a1 t676.a0 t676.a9 t676.a8 t676.a6 t676.a12 t676.a2 t676.a11 t676.a4 t676.a3))
% 10.61/11.21 (step t676.t26 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t676.t23 t676.t25))
% 10.61/11.21 (step t676 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t676.a0 t676.a1 t676.a2 t676.a3 t676.a4 t676.a5 t676.a6 t676.a7 t676.a8 t676.a9 t676.a10 t676.a11 t676.a12))
% 10.61/11.21 (step t677 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t678 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 10.61/11.21 (step t679 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 10.61/11.21 (step t680 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t681 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 10.61/11.21 (step t682 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t683 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t684 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t685 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t686 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t687 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t688 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t689 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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)
% 10.61/11.21 (step t690 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t676 t677 t678 t679 t680 t681 t682 t683 t684 t685 t686 t687 t688 t689))
% 10.61/11.21 (step t691 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t690))
% 10.61/11.21 (step t692 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t691))
% 10.61/11.21 (step t693 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t675 t692))
% 10.61/11.21 (step t694 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t695 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t693 t694))
% 10.61/11.21 (step t696 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t695))
% 10.61/11.21 (step t697 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t696))
% 10.61/11.21 (step t698 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t613 t697))
% 10.61/11.21 (step t699 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c6)) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.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.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c1) (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule reordering :premises (t698))
% 10.61/11.21 (step t700 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t701)
% 10.61/11.21 (assume t701.a0 (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))
% 10.61/11.21 (step t701.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))))) :rule forall_inst :args ((:= X4 tptp.sk_c2)))
% 10.61/11.21 (step t701.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule or :premises (t701.t1))
% 10.61/11.21 (step t701.t3 (cl (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t701.t2 t701.a0))
% 10.61/11.21 (step t701 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule subproof :discharge (t701.a0))
% 10.61/11.21 (step t702 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule resolution :premises (t700 t701))
% 10.61/11.21 (step t703 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))))) :rule implies_neg2)
% 10.61/11.21 (step t704 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))))) :rule resolution :premises (t702 t703))
% 10.61/11.21 (step t705 (cl (=> (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))))) :rule contraction :premises (t704))
% 10.61/11.21 (step t706 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule implies :premises (t705))
% 10.61/11.21 (step t707 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule or_pos)
% 10.61/11.21 (step t708 (cl (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))))) :rule reordering :premises (t707))
% 10.61/11.21 (step t709 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t710)
% 10.61/11.21 (assume t710.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 10.61/11.21 (step t710.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 10.61/11.21 (step t710.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t710.t1))
% 10.61/11.21 (step t710.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t710.t2 t710.a0))
% 10.61/11.21 (step t710 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t710.a0))
% 10.61/11.21 (step t711 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t709 t710))
% 10.61/11.21 (step t712 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 10.61/11.21 (step t713 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t711 t712))
% 10.61/11.21 (step t714 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t713))
% 10.61/11.21 (step t715 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t714))
% 10.61/11.21 (step t716 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 10.61/11.21 (step t717 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t716))
% 10.61/11.21 (step t718 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t432 t425 t572 t580 t588 t596 t399 t407 t415 t604 t423 t233 t241 t612 t638 t580 t588 t399 t407 t415 t423 t233 t241 t612 t29 t645 t647 t674 t580 t588 t198 t399 t407 t415 t423 t233 t241 t612 t699 t580 t588 t399 t407 t415 t423 t233 t241 t612 t706 t708 t715 t717))
% 10.61/11.21 (step t719 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t718))
% 10.61/11.21 (step t720 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t439 t441 t492 t174 t310 t399 t407 t415 t423 t233 t241 t29 t432 t425))
% 10.61/11.21 (step t721 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t720))
% 10.61/11.21 (step t722 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.61/11.21 (step t723 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 10.61/11.21 (step t724 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t723 t341))
% 10.61/11.21 (step t725 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t722 t724 a17))
% 10.61/11.21 (step t726 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t725))
% 10.61/11.21 (step t727 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t726))
% 10.61/11.21 (step t728 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 10.61/11.21 (step t729 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t723 t71))
% 10.61/11.21 (step t730 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t728 t729 a16))
% 10.61/11.21 (step t731 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t730))
% 10.61/11.21 (step t732 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t731))
% 10.61/11.21 (step t733 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t721 t468 t174 t310 t399 t407 t415 t423 t233 t241 t391 t399 t407 t415 t423 t233 t241 t334 t336 t727 t732 t715 t717))
% 10.61/11.21 (step t734 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t733))
% 10.61/11.21 (step t735 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.61/11.21 (step t736 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t723 t347))
% 10.61/11.21 (step t737 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t735 t736 a18))
% 10.61/11.21 (step t738 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t737))
% 10.61/11.21 (step t739 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t738))
% 10.61/11.21 (step t740 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_pos2)
% 10.61/11.21 (step t741 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t723 t353))
% 10.61/11.21 (step t742 (cl (= (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule refl)
% 10.61/11.21 (step t743 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t744 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.21 (step t745 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.21 (step t746 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t744 t745))
% 10.61/11.21 (step t747 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t743 t746))
% 10.61/11.21 (step t748 (cl (= (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t742 t747))
% 10.61/11.21 (step t749 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule trans :premises (t741 t748))
% 10.61/11.21 (step t750 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t740 t749 a19))
% 10.61/11.21 (step t751 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t750))
% 10.61/11.21 (step t752 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t734 t739 t751))
% 10.61/11.21 (step t753 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t752))
% 10.61/11.21 (step t754 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t753))
% 10.61/11.21 (step t755 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t544 t719 t754 t715 t717))
% 10.61/11.21 (step t756 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t755))
% 10.61/11.21 (step t757 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 10.61/11.21 (step t758 (cl (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t757))
% 10.61/11.21 (step t759 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.21 (step t760 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t761)
% 10.61/11.21 (assume t761.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t761.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t761.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t761.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t761.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t761.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t761.a7 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t761.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t761.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t761.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t761.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t761.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t761.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t761.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (assume t761.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (step t761.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t761.t2)
% 10.61/11.21 (assume t761.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t761.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t761.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.t2.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t761.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t761.t2.a6 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t761.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t761.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t761.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t761.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t761.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t761.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t761.t2.a13 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t761.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t761.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (assume t761.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t761.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (step t761.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t761.t2.a13))
% 10.61/11.21 (step t761.t2.t2 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t761.t2.t1))
% 10.61/11.21 (step t761.t2.t3 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t761.t2.a0))
% 10.61/11.21 (step t761.t2.t4 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t761.t2.t3))
% 10.61/11.21 (step t761.t2.t5 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t761.t2.t2 t761.t2.t4))
% 10.61/11.21 (step t761.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t761.t2.a12))
% 10.61/11.21 (step t761.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t761.t2.a11))
% 10.61/11.21 (step t761.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t761.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t761.t2.t7 t761.t2.t8))
% 10.61/11.21 (step t761.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t761.t2.a10))
% 10.61/11.21 (step t761.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t761.t2.t5 t761.t2.t6 t761.t2.t9 t761.t2.t10))
% 10.61/11.21 (step t761.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t761.t2.t11))
% 10.61/11.21 (step t761.t2.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.21 (step t761.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t761.t2.t12 t761.t2.t13))
% 10.61/11.21 (step t761.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t761.t2.a2 t761.t2.t8))
% 10.61/11.21 (step t761.t2.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t761.t2.a17))
% 10.61/11.21 (step t761.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t761.t2.t16))
% 10.61/11.21 (step t761.t2.t18 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule refl)
% 10.61/11.21 (step t761.t2.t19 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t761.t2.a8 t761.t2.t13))
% 10.61/11.21 (step t761.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t761.t2.a16))
% 10.61/11.21 (step t761.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t761.t2.t20))
% 10.61/11.21 (step t761.t2.t22 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.21 (step t761.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t761.t2.t22 t761.t2.t11))
% 10.61/11.21 (step t761.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t761.t2.t19 t761.t2.t21 t761.t2.t23))
% 10.61/11.21 (step t761.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t761.t2.t24 t761.t2.t8))
% 10.61/11.21 (step t761.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t761.t2.a15))
% 10.61/11.21 (step t761.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t761.t2.t26))
% 10.61/11.21 (step t761.t2.t28 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t761.t2.a6))
% 10.61/11.21 (step t761.t2.t29 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t761.t2.t28))
% 10.61/11.21 (step t761.t2.t30 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t761.t2.a7))
% 10.61/11.21 (step t761.t2.t31 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t761.t2.t30))
% 10.61/11.21 (step t761.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t761.t2.t29 t761.t2.t31))
% 10.61/11.21 (step t761.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t761.t2.a5))
% 10.61/11.21 (step t761.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t761.t2.a4))
% 10.61/11.21 (step t761.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.21 (step t761.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t761.t2.t34 t761.t2.t35))
% 10.61/11.21 (step t761.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t761.t2.a3))
% 10.61/11.21 (step t761.t2.t38 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t761.t2.t32 t761.t2.t33 t761.t2.t36 t761.t2.t37))
% 10.61/11.21 (step t761.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t761.t2.t22 t761.t2.t38))
% 10.61/11.21 (step t761.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t761.t2.a14))
% 10.61/11.21 (step t761.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t761.t2.t40))
% 10.61/11.21 (step t761.t2.t42 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t761.t2.t13 t761.t2.t11))
% 10.61/11.21 (step t761.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t761.t2.t14 t761.t2.t41 t761.t2.t42))
% 10.61/11.21 (step t761.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t761.t2.t22 t761.t2.t43))
% 10.61/11.21 (step t761.t2.t45 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t761.t2.a9))
% 10.61/11.21 (step t761.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t761.t2.a8))
% 10.61/11.21 (step t761.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t761.t2.t46 t761.t2.t8))
% 10.61/11.21 (step t761.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t761.t2.t25 t761.t2.t27 t761.t2.t39 t761.t2.t44 t761.t2.t45 t761.t2.t47 t761.t2.t32 t761.t2.t33 t761.t2.t36 t761.t2.t37))
% 10.61/11.21 (step t761.t2.t49 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t761.t2.t18 t761.t2.t48))
% 10.61/11.21 (step t761.t2.t50 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.identity)) :rule symm :premises (t761.t2.a2))
% 10.61/11.21 (step t761.t2.t51 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t761.t2.a10 t761.t2.t15 t761.t2.t17 t761.t2.t49 t761.t2.t50))
% 10.61/11.21 (step t761.t2.t52 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.identity)) :rule trans :premises (t761.t2.t11 t761.t2.t51))
% 10.61/11.21 (step t761.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t761.t2.t52 t761.t2.t13))
% 10.61/11.21 (step t761.t2.t54 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t761.t2.a1))
% 10.61/11.21 (step t761.t2.t55 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule trans :premises (t761.t2.t14 t761.t2.t53 t761.t2.t54 t761.t2.t4))
% 10.61/11.21 (step t761.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule subproof :discharge (t761.t2.a0 t761.t2.a1 t761.t2.a2 t761.t2.a3 t761.t2.a4 t761.t2.a5 t761.t2.a6 t761.t2.a7 t761.t2.a8 t761.t2.a9 t761.t2.a10 t761.t2.a11 t761.t2.a12 t761.t2.a13 t761.t2.a14 t761.t2.a15 t761.t2.a16 t761.t2.a17))
% 10.61/11.21 (step t761.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t761.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t761.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t761.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t761.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t761.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.21 (step t761.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t761.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t761.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t761.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t761.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t761.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t761.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t761.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t761.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t761.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t761.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t761.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t761.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t761.t2 t761.t3 t761.t4 t761.t5 t761.t6 t761.t7 t761.t8 t761.t9 t761.t10 t761.t11 t761.t12 t761.t13 t761.t14 t761.t15 t761.t16 t761.t17 t761.t18 t761.t19 t761.t20))
% 10.61/11.21 (step t761.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule reordering :premises (t761.t21))
% 10.61/11.21 (step t761.t23 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule contraction :premises (t761.t22))
% 10.61/11.21 (step t761.t24 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t761.t1 t761.t23))
% 10.61/11.21 (step t761.t25 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t761.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t761.t24 t761.t25))
% 10.61/11.21 (step t761.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule contraction :premises (t761.t26))
% 10.61/11.21 (step t761.t28 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule implies :premises (t761.t27))
% 10.61/11.21 (step t761.t29 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.21 (step t761.t30 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule resolution :premises (t761.t29 t761.a2 t761.a6 t761.a8 t761.a7 t761.a12 t761.a14 t761.a3 t761.a4 t761.a0 t761.a9 t761.a5 t761.a10 t761.a13 t761.a1 t761.a11 t761.a16 t761.a15 t761.a17))
% 10.61/11.21 (step t761.t31 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t761.t28 t761.t30))
% 10.61/11.21 (step t761 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule subproof :discharge (t761.a0 t761.a1 t761.a2 t761.a3 t761.a4 t761.a5 t761.a6 t761.a7 t761.a8 t761.a9 t761.a10 t761.a11 t761.a12 t761.a13 t761.a14 t761.a15 t761.a16 t761.a17))
% 10.61/11.21 (step t762 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t763 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t764 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t765 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t766 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t767 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t768 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t769 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t770 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t771 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t772 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t773 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t774 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t775 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t776 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.21 (step t777 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t778 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t779 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t780 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t761 t762 t763 t764 t765 t766 t767 t768 t769 t770 t771 t772 t773 t774 t775 t776 t777 t778 t779))
% 10.61/11.21 (step t781 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule reordering :premises (t780))
% 10.61/11.21 (step t782 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule contraction :premises (t781))
% 10.61/11.21 (step t783 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t760 t782))
% 10.61/11.21 (step t784 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.21 (step t785 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t783 t784))
% 10.61/11.21 (step t786 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule contraction :premises (t785))
% 10.61/11.21 (step t787 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule implies :premises (t786))
% 10.61/11.21 (step t788 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t759 t787))
% 10.61/11.21 (step t789 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.21 (step t790 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t791)
% 10.61/11.21 (assume t791.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t791.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t791.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t791.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t791.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t791.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t791.a7 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.a8 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t791.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t791.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t791.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t791.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t791.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t791.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t791.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (assume t791.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (assume t791.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (step t791.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t791.t2)
% 10.61/11.21 (assume t791.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t791.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 10.61/11.21 (assume t791.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.t2.a3 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t791.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t791.t2.a6 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t791.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t791.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 10.61/11.21 (assume t791.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 10.61/11.21 (assume t791.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t791.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t791.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t791.t2.a13 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t791.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t791.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (assume t791.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t791.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (assume t791.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))
% 10.61/11.21 (step t791.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t791.t2.a7))
% 10.61/11.21 (step t791.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t791.t2.t1))
% 10.61/11.21 (step t791.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.21 (step t791.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.21 (step t791.t2.t5 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t791.t2.a8 t791.t2.t4))
% 10.61/11.21 (step t791.t2.t6 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t791.t2.a16))
% 10.61/11.21 (step t791.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t791.t2.t6))
% 10.61/11.21 (step t791.t2.t8 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 10.61/11.21 (step t791.t2.t9 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t791.t2.a0))
% 10.61/11.21 (step t791.t2.t10 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t791.t2.t9))
% 10.61/11.21 (step t791.t2.t11 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t791.t2.a13))
% 10.61/11.21 (step t791.t2.t12 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t791.t2.t11))
% 10.61/11.21 (step t791.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t791.t2.t10 t791.t2.t12))
% 10.61/11.21 (step t791.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t791.t2.a12))
% 10.61/11.21 (step t791.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t791.t2.a11))
% 10.61/11.21 (step t791.t2.t16 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t791.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t791.t2.t15 t791.t2.t16))
% 10.61/11.21 (step t791.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t791.t2.a10))
% 10.61/11.21 (step t791.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t791.t2.t13 t791.t2.t14 t791.t2.t17 t791.t2.t18))
% 10.61/11.21 (step t791.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t791.t2.t8 t791.t2.t19))
% 10.61/11.21 (step t791.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t791.t2.t5 t791.t2.t7 t791.t2.t20))
% 10.61/11.21 (step t791.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t791.t2.t21 t791.t2.t16))
% 10.61/11.21 (step t791.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t791.t2.a15))
% 10.61/11.21 (step t791.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t791.t2.t23))
% 10.61/11.21 (step t791.t2.t25 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t791.t2.a6))
% 10.61/11.21 (step t791.t2.t26 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t791.t2.t25))
% 10.61/11.21 (step t791.t2.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t791.t2.t26 t791.t2.t2))
% 10.61/11.21 (step t791.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t791.t2.a5))
% 10.61/11.21 (step t791.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t791.t2.a4))
% 10.61/11.21 (step t791.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.21 (step t791.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t791.t2.t29 t791.t2.t30))
% 10.61/11.21 (step t791.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t791.t2.a3))
% 10.61/11.21 (step t791.t2.t33 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t791.t2.t27 t791.t2.t28 t791.t2.t31 t791.t2.t32))
% 10.61/11.21 (step t791.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t791.t2.t8 t791.t2.t33))
% 10.61/11.21 (step t791.t2.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t791.t2.t19))
% 10.61/11.21 (step t791.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t791.t2.t35 t791.t2.t4))
% 10.61/11.21 (step t791.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t791.t2.a14))
% 10.61/11.21 (step t791.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t791.t2.t37))
% 10.61/11.21 (step t791.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t791.t2.t4 t791.t2.t19))
% 10.61/11.21 (step t791.t2.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t791.t2.t36 t791.t2.t38 t791.t2.t39))
% 10.61/11.21 (step t791.t2.t41 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t791.t2.t8 t791.t2.t40))
% 10.61/11.21 (step t791.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t791.t2.a9))
% 10.61/11.21 (step t791.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t791.t2.a8))
% 10.61/11.21 (step t791.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t791.t2.t43 t791.t2.t16))
% 10.61/11.21 (step t791.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t791.t2.t22 t791.t2.t24 t791.t2.t34 t791.t2.t41 t791.t2.t42 t791.t2.t44 t791.t2.t27 t791.t2.t28 t791.t2.t31 t791.t2.t32))
% 10.61/11.21 (step t791.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t791.t2.t45))
% 10.61/11.21 (step t791.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule cong :premises (t791.t2.t3 t791.t2.t46))
% 10.61/11.21 (step t791.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t791.t2.a18))
% 10.61/11.21 (step t791.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t791.t2.t1 t791.t2.t16))
% 10.61/11.21 (step t791.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule cong :premises (t791.t2.a2 t791.t2.t16))
% 10.61/11.21 (step t791.t2.t51 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6))) :rule symm :premises (t791.t2.a17))
% 10.61/11.21 (step t791.t2.t52 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule symm :premises (t791.t2.t51))
% 10.61/11.21 (step t791.t2.t53 (cl (= (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule refl)
% 10.61/11.21 (step t791.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t791.t2.t53 t791.t2.t45))
% 10.61/11.21 (step t791.t2.t55 (cl (= (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.identity)) :rule symm :premises (t791.t2.a2))
% 10.61/11.21 (step t791.t2.t56 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t791.t2.a10 t791.t2.t50 t791.t2.t52 t791.t2.t54 t791.t2.t55))
% 10.61/11.21 (step t791.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.identity)) :rule trans :premises (t791.t2.t19 t791.t2.t56))
% 10.61/11.21 (step t791.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t791.t2.t57 t791.t2.t4))
% 10.61/11.21 (step t791.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t791.t2.a1))
% 10.61/11.21 (step t791.t2.t60 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t791.t2.t2 t791.t2.t47 t791.t2.t48 t791.t2.t49 t791.t2.t27 t791.t2.t28 t791.t2.t31 t791.t2.t32 t791.t2.t36 t791.t2.t58 t791.t2.t59 t791.t2.t10))
% 10.61/11.21 (step t791.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t791.t2.a0 t791.t2.a1 t791.t2.a2 t791.t2.a3 t791.t2.a4 t791.t2.a5 t791.t2.a6 t791.t2.a7 t791.t2.a8 t791.t2.a9 t791.t2.a10 t791.t2.a11 t791.t2.a12 t791.t2.a13 t791.t2.a14 t791.t2.a15 t791.t2.a16 t791.t2.a17 t791.t2.a18))
% 10.61/11.21 (step t791.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t791.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t791.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t791.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t791.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t791.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.21 (step t791.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t791.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t791.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t791.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t791.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t791.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t791.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t791.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t791.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t791.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t791.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t791.t20 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t791.t21 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t791.t22 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t791.t2 t791.t3 t791.t4 t791.t5 t791.t6 t791.t7 t791.t8 t791.t9 t791.t10 t791.t11 t791.t12 t791.t13 t791.t14 t791.t15 t791.t16 t791.t17 t791.t18 t791.t19 t791.t20 t791.t21))
% 10.61/11.21 (step t791.t23 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t791.t22))
% 10.61/11.21 (step t791.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t791.t23))
% 10.61/11.21 (step t791.t25 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t791.t1 t791.t24))
% 10.61/11.21 (step t791.t26 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.21 (step t791.t27 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t791.t25 t791.t26))
% 10.61/11.21 (step t791.t28 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t791.t27))
% 10.61/11.21 (step t791.t29 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t791.t28))
% 10.61/11.21 (step t791.t30 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule and_neg)
% 10.61/11.21 (step t791.t31 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) :rule resolution :premises (t791.t30 t791.a1 t791.a6 t791.a8 t791.a7 t791.a12 t791.a14 t791.a3 t791.a4 t791.a0 t791.a9 t791.a5 t791.a10 t791.a13 t791.a2 t791.a11 t791.a16 t791.a15 t791.a17 t791.a18))
% 10.61/11.21 (step t791.t32 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t791.t29 t791.t31))
% 10.61/11.21 (step t791 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t791.a0 t791.a1 t791.a2 t791.a3 t791.a4 t791.a5 t791.a6 t791.a7 t791.a8 t791.a9 t791.a10 t791.a11 t791.a12 t791.a13 t791.a14 t791.a15 t791.a16 t791.a17 t791.a18))
% 10.61/11.21 (step t792 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t793 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t794 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t795 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t796 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t797 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.21 (step t798 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 10.61/11.21 (step t799 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t800 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t801 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t802 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t803 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t804 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t805 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t806 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.21 (step t807 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.21 (step t808 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t809 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t810 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) :rule and_pos)
% 10.61/11.21 (step t811 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))))) :rule resolution :premises (t791 t792 t793 t794 t795 t796 t797 t798 t799 t800 t801 t802 t803 t804 t805 t806 t807 t808 t809 t810))
% 10.61/11.21 (step t812 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t811))
% 10.61/11.21 (step t813 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t812))
% 10.61/11.21 (step t814 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t790 t813))
% 10.61/11.21 (step t815 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.21 (step t816 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t814 t815))
% 10.61/11.21 (step t817 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t816))
% 10.61/11.21 (step t818 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t817))
% 10.61/11.21 (step t819 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply (tptp.inverse (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6) (tptp.multiply tptp.sk_c4 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t789 t818))
% 10.61/11.21 (step t820 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t758 t788 t131 t139 t147 t155 t163 t174 t182 t190 t198 t217 t225 t233 t241 t819 t123 t131 t139 t147 t155 t163 t174 t182 t190 t198 t217 t225 t233 t241))
% 10.61/11.21 (step t821 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t820))
% 10.61/11.21 (step t822 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t363))
% 10.61/11.21 (step t823 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t821 t351 t369 t345 t822))
% 10.61/11.21 (step t824 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t823))
% 10.61/11.21 (step t825 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t824 t756))
% 10.61/11.21 (step t826 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t825))
% 10.61/11.21 (step t827 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t826))
% 10.61/11.21 (step t828 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t371 t756 t827))
% 10.61/11.21 (step t829 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t828))
% 10.61/11.21 (step t830 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t74 t829))
% 10.61/11.21 (step t831 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 10.61/11.21 (step t832 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t70 t341))
% 10.61/11.21 (step t833 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t831 t832 a5))
% 10.61/11.21 (step t834 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t833))
% 10.61/11.21 (step t835 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t834 t829))
% 10.61/11.21 (step t836 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 10.61/11.21 (step t837 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t70 t347))
% 10.61/11.21 (step t838 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t836 t837 a6))
% 10.61/11.21 (step t839 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t838))
% 10.61/11.21 (step t840 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t839 t829))
% 10.61/11.21 (step t841 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_pos2)
% 10.61/11.21 (step t842 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t70 t353))
% 10.61/11.21 (step t843 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule refl)
% 10.61/11.21 (step t844 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.21 (step t845 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 10.61/11.21 (step t846 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (a3))
% 10.61/11.21 (step t847 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t845 t846))
% 10.61/11.21 (step t848 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t844 t847))
% 10.61/11.21 (step t849 (cl (= (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t843 t848))
% 10.61/11.21 (step t850 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule trans :premises (t842 t849))
% 10.61/11.21 (step t851 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t841 t850 a7))
% 10.61/11.21 (step t852 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t851))
% 10.61/11.21 (step t853 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t852 t829))
% 10.61/11.21 (step t854 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t855)
% 10.61/11.21 (assume t855.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.21 (step t855.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 10.61/11.21 (step t855.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t855.t1))
% 10.61/11.21 (step t855.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t855.t2 t855.a0))
% 10.61/11.21 (step t855 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t855.a0))
% 10.61/11.21 (step t856 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t854 t855))
% 10.61/11.21 (step t857 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.21 (step t858 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t856 t857))
% 10.61/11.21 (step t859 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t858))
% 10.61/11.21 (step t860 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t859))
% 10.61/11.21 (step t861 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t860 a2))
% 10.61/11.21 (step t862 (cl (not (= (=> (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))))) (not (=> (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule equiv_pos2)
% 10.61/11.21 (step t863 (cl (= (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) :rule refl)
% 10.61/11.21 (step t864 (cl (= (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule all_simplify)
% 10.61/11.21 (step t865 (cl (= (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))))) :rule cong :premises (t863 t864))
% 10.61/11.21 (step t866 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t867)
% 10.61/11.21 (assume t867.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.21 (step t867.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c6) (:= Z tptp.sk_c7)))
% 10.61/11.21 (step t867.t2 (cl (not (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t867.t1))
% 10.61/11.21 (step t867.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t867.t2 t867.a0))
% 10.61/11.21 (step t867 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t867.a0))
% 10.61/11.21 (step t868 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t866 t867))
% 10.61/11.21 (step t869 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.21 (step t870 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t868 t869))
% 10.61/11.21 (step t871 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t870))
% 10.61/11.21 (step t872 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule resolution :premises (t862 t865 t871))
% 10.61/11.21 (step t873 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule implies :premises (t872))
% 10.61/11.21 (step t874 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule resolution :premises (t873 a2))
% 10.61/11.21 (step t875 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t876)
% 10.61/11.21 (assume t876.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 10.61/11.21 (step t876.t1 (cl (or (not (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule forall_inst :args ((:= X tptp.sk_c3) (:= Y tptp.sk_c6) (:= Z tptp.sk_c6)))
% 10.61/11.21 (step t876.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule or :premises (t876.t1))
% 10.61/11.21 (step t876.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t876.t2 t876.a0))
% 10.61/11.21 (step t876 (cl (not (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule subproof :discharge (t876.a0))
% 10.61/11.21 (step t877 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t875 t876))
% 10.61/11.21 (step t878 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg2)
% 10.61/11.21 (step t879 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule resolution :premises (t877 t878))
% 10.61/11.21 (step t880 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule contraction :premises (t879))
% 10.61/11.21 (step t881 (cl (not (forall ((X $$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_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies :premises (t880))
% 10.61/11.21 (step t882 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t881 a2))
% 10.61/11.21 (step t883 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c7))) :rule resolution :premises (t68 t830 t835 t840 t853 t241 t225 t217 t861 t310 t190 t182 t174 t163 t155 t131 t874 t882))
% 10.61/11.21 (step t884 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule resolution :premises (t327 t830 t835 t241 t190 t163))
% 10.61/11.21 (step t885 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c7)))))) :rule resolution :premises (t38 t883 t884))
% 10.61/11.21 (step t886 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) :rule resolution :premises (t36 t885))
% 10.61/11.21 (step t887 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule and_neg)
% 10.61/11.21 (step t888 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t889)
% 10.61/11.21 (assume t889.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t889.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t889.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t889.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t889.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t889.a5 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t889.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t889.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t889.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t889.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t889.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t889.a11 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.21 (assume t889.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (step t889.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t889.t2)
% 10.61/11.21 (assume t889.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t889.t2.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t889.t2.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (step t889.t2.t1 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t889.t2.a2))
% 10.61/11.21 (step t889.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t889.t2.t1))
% 10.61/11.21 (step t889.t2.t3 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c7)) :rule symm :premises (t889.t2.a1))
% 10.61/11.21 (step t889.t2.t4 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t889.t2.a0))
% 10.61/11.21 (step t889.t2.t5 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t889.t2.t4))
% 10.61/11.21 (step t889.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t889.t2.t2 t889.t2.t3 t889.t2.t5))
% 10.61/11.21 (step t889.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t889.t2.a0 t889.t2.a1 t889.t2.a2))
% 10.61/11.21 (step t889.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.21 (step t889.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t889.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.21 (step t889.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t889.t2 t889.t3 t889.t4 t889.t5))
% 10.61/11.21 (step t889.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t889.t6))
% 10.61/11.21 (step t889.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t889.t7))
% 10.61/11.21 (step t889.t9 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t889.t1 t889.t8))
% 10.61/11.21 (step t889.t10 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.21 (step t889.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t889.t9 t889.t10))
% 10.61/11.21 (step t889.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t889.t11))
% 10.61/11.21 (step t889.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t889.t12))
% 10.61/11.21 (step t889.t14 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule and_neg)
% 10.61/11.21 (step t889.t15 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg1)
% 10.61/11.21 (anchor :step t889.t16)
% 10.61/11.21 (assume t889.t16.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.21 (assume t889.t16.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.21 (assume t889.t16.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.21 (assume t889.t16.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.21 (assume t889.t16.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.21 (assume t889.t16.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.21 (assume t889.t16.a6 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.21 (assume t889.t16.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.21 (assume t889.t16.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.21 (assume t889.t16.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (assume t889.t16.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.21 (assume t889.t16.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.21 (assume t889.t16.a12 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.21 (step t889.t16.t1 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t889.t16.a5))
% 10.61/11.21 (step t889.t16.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t889.t16.t1))
% 10.61/11.21 (step t889.t16.t3 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.61/11.21 (step t889.t16.t4 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t889.t16.a2))
% 10.61/11.22 (step t889.t16.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.22 (step t889.t16.t6 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t889.t16.t4 t889.t16.t5))
% 10.61/11.22 (step t889.t16.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t889.t16.t6))
% 10.61/11.22 (step t889.t16.t8 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t889.t16.a4))
% 10.61/11.22 (step t889.t16.t9 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t889.t16.t8))
% 10.61/11.22 (step t889.t16.t10 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t889.t16.t9 t889.t16.t2))
% 10.61/11.22 (step t889.t16.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t889.t16.t10))
% 10.61/11.22 (step t889.t16.t12 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.22 (step t889.t16.t13 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t889.t16.t1 t889.t16.t12))
% 10.61/11.22 (step t889.t16.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t889.t16.t13))
% 10.61/11.22 (step t889.t16.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t889.t16.a6))
% 10.61/11.22 (step t889.t16.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t889.t16.a12))
% 10.61/11.22 (step t889.t16.t17 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t889.t16.t16))
% 10.61/11.22 (step t889.t16.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t889.t16.a11))
% 10.61/11.22 (step t889.t16.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t889.t16.t18))
% 10.61/11.22 (step t889.t16.t20 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.22 (step t889.t16.t21 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t889.t16.t19 t889.t16.t20))
% 10.61/11.22 (step t889.t16.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t889.t16.a10))
% 10.61/11.22 (step t889.t16.t23 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule symm :premises (t889.t16.t22))
% 10.61/11.22 (step t889.t16.t24 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t889.t16.a0))
% 10.61/11.22 (step t889.t16.t25 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t889.t16.a9))
% 10.61/11.22 (step t889.t16.t26 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t889.t16.t25))
% 10.61/11.22 (step t889.t16.t27 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t889.t16.t26))
% 10.61/11.22 (step t889.t16.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t889.t16.t24 t889.t16.t27))
% 10.61/11.22 (step t889.t16.t29 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t889.t16.t17 t889.t16.t21 t889.t16.t23 t889.t16.t28))
% 10.61/11.22 (step t889.t16.t30 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule cong :premises (t889.t16.t3 t889.t16.t29))
% 10.61/11.22 (step t889.t16.t31 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t889.t16.a8))
% 10.61/11.22 (step t889.t16.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t889.t16.t31))
% 10.61/11.22 (step t889.t16.t33 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t889.t16.t32))
% 10.61/11.22 (step t889.t16.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t889.t16.t1 t889.t16.t5))
% 10.61/11.22 (step t889.t16.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t889.t16.a3))
% 10.61/11.22 (step t889.t16.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t889.t16.a1))
% 10.61/11.22 (step t889.t16.t37 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t889.t16.t10 t889.t16.t35 t889.t16.t6 t889.t16.t36))
% 10.61/11.22 (step t889.t16.t38 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t889.t16.t37))
% 10.61/11.22 (step t889.t16.t39 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t889.t16.t12 t889.t16.t38))
% 10.61/11.22 (step t889.t16.t40 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t889.t16.a7))
% 10.61/11.22 (step t889.t16.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t889.t16.t40))
% 10.61/11.22 (step t889.t16.t42 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t889.t16.t41))
% 10.61/11.22 (step t889.t16.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t889.t16.t37 t889.t16.t12))
% 10.61/11.22 (step t889.t16.t44 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t889.t16.a1 t889.t16.t7 t889.t16.a3 t889.t16.t11 t889.t16.t14 t889.t16.t15 t889.t16.t30 t889.t16.t33 t889.t16.t34 t889.t16.t39 t889.t16.t42 t889.t16.t43))
% 10.61/11.22 (step t889.t16.t45 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t889.t16.t3 t889.t16.t44))
% 10.61/11.22 (step t889.t16.t46 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t889.t16.t15))
% 10.61/11.22 (step t889.t16.t47 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t889.t16.t24))
% 10.61/11.22 (step t889.t16.t48 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t889.t16.t2 t889.t16.t45 t889.t16.t46 t889.t16.t13 t889.t16.t10 t889.t16.t35 t889.t16.t6 t889.t16.t36 t889.t16.t47))
% 10.61/11.22 (step t889.t16 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule subproof :discharge (t889.t16.a0 t889.t16.a1 t889.t16.a2 t889.t16.a3 t889.t16.a4 t889.t16.a5 t889.t16.a6 t889.t16.a7 t889.t16.a8 t889.t16.a9 t889.t16.a10 t889.t16.a11 t889.t16.a12))
% 10.61/11.22 (step t889.t17 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t889.t18 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t889.t19 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t889.t20 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t889.t21 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t889.t22 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t889.t23 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t889.t24 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t889.t25 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t889.t26 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t889.t27 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.22 (step t889.t28 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t889.t29 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t889.t30 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule resolution :premises (t889.t16 t889.t17 t889.t18 t889.t19 t889.t20 t889.t21 t889.t22 t889.t23 t889.t24 t889.t25 t889.t26 t889.t27 t889.t28 t889.t29))
% 10.61/11.22 (step t889.t31 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule reordering :premises (t889.t30))
% 10.61/11.22 (step t889.t32 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule contraction :premises (t889.t31))
% 10.61/11.22 (step t889.t33 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t889.t15 t889.t32))
% 10.61/11.22 (step t889.t34 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule implies_neg2)
% 10.61/11.22 (step t889.t35 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t889.t33 t889.t34))
% 10.61/11.22 (step t889.t36 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)))) :rule contraction :premises (t889.t35))
% 10.61/11.22 (step t889.t37 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule implies :premises (t889.t36))
% 10.61/11.22 (step t889.t38 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_neg)
% 10.61/11.22 (step t889.t39 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t889.t38 t889.a2 t889.a4 t889.a6 t889.a9 t889.a0 t889.a1 t889.a11 t889.a7 t889.a12 t889.a3 t889.a10 t889.a8 t889.a5))
% 10.61/11.22 (step t889.t40 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t889.t37 t889.t39))
% 10.61/11.22 (step t889.t41 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t889.t14 t889.a0 t889.t40 t889.a2))
% 10.61/11.22 (step t889.t42 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t889.t13 t889.t41))
% 10.61/11.22 (step t889 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t889.a0 t889.a1 t889.a2 t889.a3 t889.a4 t889.a5 t889.a6 t889.a7 t889.a8 t889.a9 t889.a10 t889.a11 t889.a12))
% 10.61/11.22 (step t890 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t891 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t892 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t893 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t894 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t895 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t896 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t897 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t898 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t899 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t900 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.22 (step t901 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t902 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t903 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t889 t890 t891 t892 t893 t894 t895 t896 t897 t898 t899 t900 t901 t902))
% 10.61/11.22 (step t904 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t903))
% 10.61/11.22 (step t905 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t904))
% 10.61/11.22 (step t906 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t888 t905))
% 10.61/11.22 (step t907 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 10.61/11.22 (step t908 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t906 t907))
% 10.61/11.22 (step t909 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t908))
% 10.61/11.22 (step t910 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t909))
% 10.61/11.22 (step t911 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t887 t910))
% 10.61/11.22 (step t912 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule reordering :premises (t911))
% 10.61/11.22 (step t913 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t912 t830 t835 t840 t853 t241 t225 t190 t182 t174 t163 t155 t874 t882))
% 10.61/11.22 (step t914 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule and_neg)
% 10.61/11.22 (step t915 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule implies_neg1)
% 10.61/11.22 (anchor :step t916)
% 10.61/11.22 (assume t916.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.22 (assume t916.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.22 (assume t916.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.22 (assume t916.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.22 (assume t916.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.22 (assume t916.a5 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.22 (step t916.t1 (cl (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg1)
% 10.61/11.22 (anchor :step t916.t2)
% 10.61/11.22 (assume t916.t2.a0 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.22 (assume t916.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.22 (assume t916.t2.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.22 (assume t916.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.22 (assume t916.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.22 (assume t916.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.22 (step t916.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t916.t2.a5))
% 10.61/11.22 (step t916.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t916.t2.t1))
% 10.61/11.22 (step t916.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t916.t2.a4))
% 10.61/11.22 (step t916.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t916.t2.t3))
% 10.61/11.22 (step t916.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.22 (step t916.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t916.t2.t4 t916.t2.t5))
% 10.61/11.22 (step t916.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t916.t2.a3))
% 10.61/11.22 (step t916.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t916.t2.t7))
% 10.61/11.22 (step t916.t2.t9 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t916.t2.a2))
% 10.61/11.22 (step t916.t2.t10 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t916.t2.t9))
% 10.61/11.22 (step t916.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t916.t2.t10))
% 10.61/11.22 (step t916.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t916.t2.a1))
% 10.61/11.22 (step t916.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t916.t2.t11 t916.t2.t12))
% 10.61/11.22 (step t916.t2.t14 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t916.t2.t12))
% 10.61/11.22 (step t916.t2.t15 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.22 (step t916.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t916.t2.t14 t916.t2.t15))
% 10.61/11.22 (step t916.t2.t17 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t916.t2.a0))
% 10.61/11.22 (step t916.t2.t18 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t916.t2.t17))
% 10.61/11.22 (step t916.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t916.t2.t18))
% 10.61/11.22 (step t916.t2.t20 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule trans :premises (t916.t2.t2 t916.t2.t6 t916.t2.t8 t916.t2.t13 t916.t2.t16 t916.t2.t19))
% 10.61/11.22 (step t916.t2 (cl (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t916.t2.a0 t916.t2.a1 t916.t2.a2 t916.t2.a3 t916.t2.a4 t916.t2.a5))
% 10.61/11.22 (step t916.t3 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t916.t4 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t916.t5 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t916.t6 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t916.t7 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t916.t8 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t916.t9 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule resolution :premises (t916.t2 t916.t3 t916.t4 t916.t5 t916.t6 t916.t7 t916.t8))
% 10.61/11.22 (step t916.t10 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t916.t9))
% 10.61/11.22 (step t916.t11 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t916.t10))
% 10.61/11.22 (step t916.t12 (cl (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t916.t1 t916.t11))
% 10.61/11.22 (step t916.t13 (cl (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.22 (step t916.t14 (cl (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t916.t12 t916.t13))
% 10.61/11.22 (step t916.t15 (cl (=> (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t916.t14))
% 10.61/11.22 (step t916.t16 (cl (not (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t916.t15))
% 10.61/11.22 (step t916.t17 (cl (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule and_neg)
% 10.61/11.22 (step t916.t18 (cl (and (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t916.t17 t916.a5 t916.a1 t916.a0 t916.a4 t916.a3 t916.a2))
% 10.61/11.22 (step t916.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t916.t16 t916.t18))
% 10.61/11.22 (step t916 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t916.a0 t916.a1 t916.a2 t916.a3 t916.a4 t916.a5))
% 10.61/11.22 (step t917 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t918 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t919 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t920 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t921 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t922 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t923 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))))) :rule resolution :premises (t916 t917 t918 t919 t920 t921 t922))
% 10.61/11.22 (step t924 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t923))
% 10.61/11.22 (step t925 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t924))
% 10.61/11.22 (step t926 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t915 t925))
% 10.61/11.22 (step t927 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 10.61/11.22 (step t928 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t926 t927))
% 10.61/11.22 (step t929 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t928))
% 10.61/11.22 (step t930 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t929))
% 10.61/11.22 (step t931 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t914 t930))
% 10.61/11.22 (step t932 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))) :rule reordering :premises (t931))
% 10.61/11.22 (step t933 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t932 t830 t835 t241 t190 t163 t874))
% 10.61/11.22 (step t934 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))))) :rule resolution :premises (t83 t913 t933))
% 10.61/11.22 (step t935 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))))) :rule resolution :premises (t81 t934))
% 10.61/11.22 (step t936 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule implies_neg1)
% 10.61/11.22 (anchor :step t937)
% 10.61/11.22 (assume t937.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.22 (assume t937.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.22 (assume t937.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.22 (assume t937.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.22 (assume t937.a4 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.22 (assume t937.a5 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.22 (assume t937.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.22 (assume t937.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.22 (assume t937.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.22 (assume t937.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.22 (assume t937.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.22 (assume t937.a11 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.22 (assume t937.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.22 (step t937.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 10.61/11.22 (anchor :step t937.t2)
% 10.61/11.22 (assume t937.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 10.61/11.22 (assume t937.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 10.61/11.22 (assume t937.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 10.61/11.22 (assume t937.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 10.61/11.22 (assume t937.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 10.61/11.22 (assume t937.t2.a5 (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 10.61/11.22 (assume t937.t2.a6 (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.22 (assume t937.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 10.61/11.22 (assume t937.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))
% 10.61/11.22 (assume t937.t2.a9 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 10.61/11.22 (assume t937.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 10.61/11.22 (assume t937.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))
% 10.61/11.22 (assume t937.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 10.61/11.22 (step t937.t2.t1 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t937.t2.a3))
% 10.61/11.22 (step t937.t2.t2 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t937.t2.t1))
% 10.61/11.22 (step t937.t2.t3 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t937.t2.a4))
% 10.61/11.22 (step t937.t2.t4 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t937.t2.t3))
% 10.61/11.22 (step t937.t2.t5 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t937.t2.t2 t937.t2.t4))
% 10.61/11.22 (step t937.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t937.t2.a2))
% 10.61/11.22 (step t937.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t937.t2.a1))
% 10.61/11.22 (step t937.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 10.61/11.22 (step t937.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t937.t2.t7 t937.t2.t8))
% 10.61/11.22 (step t937.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t937.t2.a0))
% 10.61/11.22 (step t937.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t937.t2.t5 t937.t2.t6 t937.t2.t9 t937.t2.t10))
% 10.61/11.22 (step t937.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t937.t2.t11))
% 10.61/11.22 (step t937.t2.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 10.61/11.22 (step t937.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t937.t2.t12 t937.t2.t13))
% 10.61/11.22 (step t937.t2.t15 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t937.t2.a12))
% 10.61/11.22 (step t937.t2.t16 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t937.t2.t15))
% 10.61/11.22 (step t937.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t937.t2.t13 t937.t2.t11))
% 10.61/11.22 (step t937.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t937.t2.t4 t937.t2.t8))
% 10.61/11.22 (step t937.t2.t19 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t937.t2.a11))
% 10.61/11.22 (step t937.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule symm :premises (t937.t2.t19))
% 10.61/11.22 (step t937.t2.t21 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 10.61/11.22 (step t937.t2.t22 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t937.t2.a9))
% 10.61/11.22 (step t937.t2.t23 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t937.t2.t22))
% 10.61/11.22 (step t937.t2.t24 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) tptp.sk_c6)) :rule symm :premises (t937.t2.a10))
% 10.61/11.22 (step t937.t2.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t937.t2.t24))
% 10.61/11.22 (step t937.t2.t26 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t937.t2.t23 t937.t2.t25))
% 10.61/11.22 (step t937.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t937.t2.a8))
% 10.61/11.22 (step t937.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t937.t2.a7))
% 10.61/11.22 (step t937.t2.t29 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule refl)
% 10.61/11.22 (step t937.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t937.t2.t28 t937.t2.t29))
% 10.61/11.22 (step t937.t2.t31 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t937.t2.a6))
% 10.61/11.22 (step t937.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t937.t2.t26 t937.t2.t27 t937.t2.t30 t937.t2.t31))
% 10.61/11.22 (step t937.t2.t33 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t937.t2.t21 t937.t2.t32))
% 10.61/11.22 (step t937.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t937.t2.a5))
% 10.61/11.22 (step t937.t2.t35 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t937.t2.t34))
% 10.61/11.22 (step t937.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t937.t2.t3 t937.t2.t13))
% 10.61/11.22 (step t937.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t937.t2.t14 t937.t2.t16 t937.t2.t17 t937.t2.t18 t937.t2.t20 t937.t2.t33 t937.t2.t35 t937.t2.t36 t937.t2.t5 t937.t2.t6 t937.t2.t9 t937.t2.t10))
% 10.61/11.22 (step t937.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule cong :premises (t937.t2.t21 t937.t2.t37))
% 10.61/11.22 (step t937.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule trans :premises (t937.t2.t14 t937.t2.t16 t937.t2.t17 t937.t2.t18 t937.t2.t20 t937.t2.t33 t937.t2.t38))
% 10.61/11.22 (step t937.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule subproof :discharge (t937.t2.a0 t937.t2.a1 t937.t2.a2 t937.t2.a3 t937.t2.a4 t937.t2.a5 t937.t2.a6 t937.t2.a7 t937.t2.a8 t937.t2.a9 t937.t2.a10 t937.t2.a11 t937.t2.a12))
% 10.61/11.22 (step t937.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t937.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t937.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t937.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t937.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t937.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t937.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t937.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t937.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.22 (step t937.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t937.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t937.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t937.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t937.t16 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t937.t2 t937.t3 t937.t4 t937.t5 t937.t6 t937.t7 t937.t8 t937.t9 t937.t10 t937.t11 t937.t12 t937.t13 t937.t14 t937.t15))
% 10.61/11.22 (step t937.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule reordering :premises (t937.t16))
% 10.61/11.22 (step t937.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule contraction :premises (t937.t17))
% 10.61/11.22 (step t937.t19 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t937.t1 t937.t18))
% 10.61/11.22 (step t937.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.22 (step t937.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t937.t19 t937.t20))
% 10.61/11.22 (step t937.t22 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule contraction :premises (t937.t21))
% 10.61/11.22 (step t937.t23 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule implies :premises (t937.t22))
% 10.61/11.22 (step t937.t24 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 10.61/11.22 (step t937.t25 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t937.t24 t937.a4 t937.a6 t937.a9 t937.a0 t937.a1 t937.a11 t937.a5 t937.a8 t937.a10 t937.a2 t937.a3 t937.a12 t937.a7))
% 10.61/11.22 (step t937.t26 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t937.t23 t937.t25))
% 10.61/11.22 (step t937 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule subproof :discharge (t937.a0 t937.a1 t937.a2 t937.a3 t937.a4 t937.a5 t937.a6 t937.a7 t937.a8 t937.a9 t937.a10 t937.a11 t937.a12))
% 10.61/11.22 (step t938 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t939 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t940 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t941 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t942 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 10.61/11.22 (step t943 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t944 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 10.61/11.22 (step t945 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 10.61/11.22 (step t946 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 10.61/11.22 (step t947 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t948 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule and_pos)
% 10.61/11.22 (step t949 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) :rule and_pos)
% 10.61/11.22 (step t950 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule and_pos)
% 10.61/11.22 (step t951 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))))) :rule resolution :premises (t937 t938 t939 t940 t941 t942 t943 t944 t945 t946 t947 t948 t949 t950))
% 10.61/11.22 (step t952 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule reordering :premises (t951))
% 10.61/11.22 (step t953 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule contraction :premises (t952))
% 10.61/11.22 (step t954 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t936 t953))
% 10.61/11.22 (step t955 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies_neg2)
% 10.61/11.22 (step t956 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t954 t955))
% 10.61/11.22 (step t957 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule contraction :premises (t956))
% 10.61/11.22 (step t958 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule implies :premises (t957))
% 10.61/11.22 (step t959 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t887 t958))
% 10.61/11.22 (step t960 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c6 tptp.sk_c6))))) :rule reordering :premises (t959))
% 10.61/11.22 (step t961 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t960 t830 t835 t840 t853 t241 t225 t190 t182 t174 t163 t155 t874 t882))
% 10.61/11.22 (step t962 (cl (not (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t758 t961 t913))
% 10.61/11.22 (step t963 (cl (not (forall ((X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))) :rule resolution :premises (t248 t962))
% 10.61/11.22 (step t964 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t336 t830 t835))
% 10.61/11.22 (step t965 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule resolution :premises (t334 t964))
% 10.61/11.22 (step t966 (cl) :rule resolution :premises (t29 t886 t935 t963 t965))
% 10.61/11.22
% 10.61/11.22 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.BOejS76szB/cvc5---1.0.5_6031.smt2
% 10.61/11.22 % cvc5---1.0.5 exiting
% 10.61/11.22 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------