TSTP Solution File: LCL817-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL817-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n006.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 17:26:34 EDT 2024
% Result : Unsatisfiable 0.45s 1.08s
% Output : Proof 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : LCL817-1 : TPTP v8.2.0. Released v4.1.0.
% 0.15/0.16 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n006.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 27 22:33:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.38/0.59 %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.45/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.pTLf2fKAfK/cvc5---1.0.5_23598.smt2
% 0.45/1.08 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.pTLf2fKAfK/cvc5---1.0.5_23598.smt2
% 0.93/1.09 (assume a0 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_x V_ts T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_x T_a) V_ts T_a))))
% 0.93/1.09 (assume a1 (forall ((V_zs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_zs V_x T_a) V_ys T_a) (tptp.c_List_Oappend V_zs (tptp.c_List_Oappend V_x V_ys T_a) T_a))))
% 0.93/1.09 (assume a2 (forall ((V_xs $$unsorted) (V_xs1 $$unsorted) (V_us $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_xs1 V_us T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_xs1 T_a) V_us T_a))))
% 0.93/1.09 (assume a3 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_ys V_zs T_a) T_a))))
% 0.93/1.09 (assume a4 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.93/1.09 (assume a5 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_x V_y))))
% 0.93/1.09 (assume a6 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_xs V_ys))))
% 0.93/1.09 (assume a7 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))))
% 0.93/1.09 (assume a8 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a9 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a10 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a11 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a12 (forall ((V_A $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (not (tptp.c_List_Olistsp V_A V_ys T_a)) (not (tptp.c_List_Olistsp V_A V_xs T_a)))))
% 0.93/1.09 (assume a13 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (= V_ys V_xs) (= V_y V_x) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a)))))
% 0.93/1.09 (assume a14 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a15 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a16 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a17 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a18 (forall ((V_r $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_x)) (= V_y V_x) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a)))))
% 0.93/1.09 (assume a19 (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Oappend V_xs V_ys T_b) V_a T_b T_a) (tptp.c_List_Ofoldr V_f V_xs (tptp.c_List_Ofoldr V_f V_ys V_a T_b T_a) T_b T_a))))
% 0.93/1.09 (assume a20 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a))))
% 0.93/1.09 (assume a21 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)))
% 0.93/1.09 (assume a22 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.93/1.09 (assume a23 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= V_x (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_x T_a))))
% 0.93/1.09 (assume a24 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)))
% 0.93/1.09 (assume a25 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))))
% 0.93/1.09 (assume a26 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_xs T_a) (tptp.c_List_Oappend V_zs V_xs T_a))) (= V_ys V_zs))))
% 0.93/1.09 (assume a27 (forall ((V_A $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Olistsp V_A V_ys T_a) (not (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.93/1.09 (assume a28 (forall ((V_A $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Olistsp V_A V_xs T_a) (not (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.93/1.09 (assume a29 (forall ((V_r $$unsorted) (V_x $$unsorted) (V_vs $$unsorted) (T_a $$unsorted) (V_us $$unsorted)) (or (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_x V_vs T_a) (tptp.c_List_Oappend V_x V_us T_a) T_a) (not (tptp.c_ListOrder_Ostep1 V_r V_vs V_us T_a)))))
% 0.93/1.09 (assume a30 (forall ((V_r $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a)) (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_ys V_x T_a) (tptp.c_List_Oappend V_xs V_x T_a) T_a))))
% 0.93/1.09 (assume a31 (forall ((V_r $$unsorted) (V_y $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_x)) (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a)))))
% 0.93/1.09 (assume a32 (forall ((V_e $$unsorted) (V_t $$unsorted) (V_Ts $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 V_Ts V_e V_t V_ts)) (not (tptp.c_Type_Otypings V_e (tptp.c_List_Oappend V_ts (tptp.c_List_Olist_OCons V_t (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) V_Ts)))))
% 0.93/1.09 (assume a33 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a))))
% 0.93/1.09 (assume a34 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs T_a) V_ys T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 0.93/1.09 (assume a35 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a))))
% 0.93/1.09 (assume a36 (forall ((V_x $$unsorted) (V_xs1 $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs1 V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs1 T_a) V_zs T_a))))
% 0.93/1.09 (assume a37 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a))))
% 0.93/1.09 (assume a38 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (= V_ys V_xs) (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a)))))
% 0.93/1.09 (assume a39 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.93/1.09 (assume a40 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Oappend V_xs V_ys T_b) T_a T_b) (tptp.c_List_Ofoldl V_f (tptp.c_List_Ofoldl V_f V_a V_xs T_a T_b) V_ys T_a T_b))))
% 0.93/1.09 (assume a41 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 0.93/1.09 (assume a42 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) T_a)))))
% 0.93/1.09 (assume a43 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.93/1.09 (assume a44 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.93/1.09 (assume a45 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.93/1.09 (assume a46 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.93/1.09 (assume a47 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a))))
% 0.93/1.09 (assume a48 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_HOL_Ozero__class_Ozero T_a))))))
% 0.93/1.09 (assume a49 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_a) V_a))))
% 0.93/1.09 (assume a50 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) V_x) V_x))))
% 0.93/1.09 (assume a51 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 0.93/1.09 (assume a52 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 0.93/1.09 (assume a53 (forall ((T_a $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a54 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d))))))
% 0.93/1.09 (assume a55 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_r $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (= V_x V_y) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_x)) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.93/1.09 (assume a56 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a57 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.93/1.09 (assume a58 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a))) (= V_b V_c))))
% 0.93/1.09 (assume a59 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 0.93/1.09 (assume a60 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))) (= V_b V_c))))
% 0.93/1.09 (assume a61 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))) (= V_y V_z))))
% 0.93/1.09 (assume a62 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a63 (forall ((T_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Osemiring__1 T_a)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.93/1.09 (assume a64 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep V_r T_a T_a) T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_y) V_x))))))
% 0.93/1.09 (assume a65 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_y) V_x)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep V_r T_a T_a) T_a) V_x) V_y))))))
% 0.93/1.09 (assume a66 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Olist_OCons V_x V_xs T_b) T_a T_b) (tptp.c_List_Ofoldl V_f (tptp.hAPP (tptp.hAPP V_f V_a) V_x) V_xs T_a T_b))))
% 0.93/1.09 (assume a67 (forall ((V_f $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Olist_ONil T_b) V_a T_b T_a) V_a)))
% 0.93/1.09 (assume a68 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_u $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_u))) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z) V_u))))
% 0.93/1.09 (assume a69 (forall ((V_r $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep V_r T_a T_b) V_a) V_b))))))
% 0.93/1.09 (assume a70 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep V_r T_a T_b) V_a) V_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_b) V_a))))))
% 0.93/1.09 (assume a71 (forall ((V_r $$unsorted) (V_a2 $$unsorted) (V_a1 $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_a2) V_a1)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep V_r T_a T_b) V_a1) V_a2))))))
% 0.93/1.09 (assume a72 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep V_r T_a T_b) V_b) V_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_a) V_b))))))
% 0.93/1.09 (assume a73 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.93/1.09 (assume a74 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_d))))))
% 0.93/1.09 (assume a75 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_b)))))
% 0.93/1.09 (assume a76 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_d)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c)) V_d)))))
% 0.93/1.09 (assume a77 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.93/1.09 (assume a78 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c))))))
% 0.93/1.09 (assume a79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b)) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c))))))
% 0.93/1.09 (assume a80 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_z))))))
% 0.93/1.09 (assume a81 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_z)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y)) V_z)))))
% 0.93/1.09 (assume a82 (forall ((T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)) (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.93/1.09 (assume a83 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______)))
% 0.93/1.09 (assume a84 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (or (= V_x V_y) (= V_xs V_ys) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.93/1.09 (assume a85 (forall ((V_r $$unsorted) (V_y $$unsorted) (V_xa $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_xa))) (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_y V_x T_a) (tptp.c_List_Olist_OCons V_xa V_x T_a) T_a))))
% 0.93/1.09 (assume a86 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_List_Olistsp V_A (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.93/1.09 (assume a87 (forall ((V_r $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Wellfounded_Oaccp V_r V_b T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_b) V_a))) (not (tptp.c_Wellfounded_Oaccp V_r V_a T_a)))))
% 0.93/1.09 (assume a88 (forall ((V_r $$unsorted) (V_b $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Wellfounded_Oaccp V_r V_b T_a) (not (tptp.c_Wellfounded_Oaccp V_r V_a T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_b) V_a))))))
% 0.93/1.09 (assume a89 (forall ((V_t $$unsorted)) (or (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_t tptp.tc_Lambda_OdB) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_t))))))
% 0.93/1.09 (assume a90 (forall ((V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_r)) (not (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_r tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a91 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a)))))
% 0.93/1.09 (assume a92 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_a)))))
% 0.93/1.09 (assume a93 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_y) V_x)))))
% 0.93/1.09 (assume a94 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__add T_a)) (= (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_y) V_zs T_a T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) V_y V_zs T_a T_a))))))
% 0.93/1.09 (assume a95 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Nat_Osemiring__char__0 T_a)) (not (= (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a))) (= V_m V_n))))
% 0.93/1.09 (assume a96 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oidom T_a)) (not (tptp.class_Int_Onumber__ring T_a)) (not (= V_x (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) V_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.93/1.09 (assume a97 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (not (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a))) (= V_a (tptp.c_HOL_Ozero__class_Ozero T_a)))))
% 0.93/1.09 (assume a98 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__add T_a)) (= (tptp.c_List_Ofoldr (tptp.c_HOL_Oplus__class_Oplus T_a) V_xs V_a T_a T_a) (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) V_a V_xs T_a T_a)))))
% 0.93/1.09 (assume a99 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_ONil T_a) V_xs T_a))))
% 0.93/1.09 (assume a100 (forall ((V_r $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (not (tptp.c_ListOrder_Ostep1 V_r V_xs (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.93/1.09 (assume a101 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a102 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__add T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a103 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a104 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_a) (tptp.c_HOL_Ozero__class_Ozero T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a (tptp.c_HOL_Ozero__class_Ozero T_a) T_a)))))
% 0.93/1.09 (assume a105 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_zs $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_x) (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) V_zs T_a T_a)) (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) V_x V_zs T_a T_a)))))
% 0.93/1.09 (assume a106 (forall ((V_f $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Olist_ONil T_b) T_a T_b) V_a)))
% 0.93/1.09 (assume a107 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_xa $$unsorted)) (or (not (= V_r (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) V_xa tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) (tptp.c_List_Oappend V_xa (tptp.c_List_Olist_OCons V_s (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a108 (forall ((T_a $$unsorted)) (= (tptp.c_Predicate_Oconversep (tptp.c_fequal T_a) T_a T_a) (tptp.c_fequal T_a))))
% 0.93/1.09 (assume a109 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 0.93/1.09 (assume a110 (forall ((V_r $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a) (= V_xs V_ys) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.93/1.09 (assume a111 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted) (V_d $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_d) T_a) (not (tptp.c_HOL_Oord__class_Oless V_c V_d T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a112 (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 0.93/1.09 (assume a113 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat)))))
% 0.93/1.09 (assume a114 (forall ((T_a $$unsorted) (V_m $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_Nat_Osemiring__1__class_Oof__nat V_m T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 0.93/1.09 (assume a115 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) V_t))))
% 0.93/1.09 (assume a116 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless V_b (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_b V_c T_a)) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) V_a T_a)))))
% 0.93/1.09 (assume a117 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Olist_OCons V_x V_xs T_b) V_a T_b T_a) (tptp.hAPP (tptp.hAPP V_f V_x) (tptp.c_List_Ofoldr V_f V_xs V_a T_b T_a)))))
% 0.93/1.09 (assume a118 (forall ((V_r $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (= (tptp.c_Predicate_Oconversep (tptp.c_Predicate_Oconversep V_r T_a T_b) T_b T_a) V_r)))
% 0.93/1.09 (assume a119 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a120 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a121 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) V_c) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_b) V_c) T_a)))))
% 0.93/1.09 (assume a122 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a123 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a124 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (tptp.c_HOL_Oord__class_Oless V_a V_b T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_c) V_b) T_a)))))
% 0.93/1.09 (assume a125 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 0.93/1.09 (assume a126 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 0.93/1.09 (assume a127 (forall ((V_r $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a) (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_x)) (not (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_y V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.93/1.09 (assume a128 (forall ((V_r $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_ListOrder_Ostep1 V_r (tptp.c_List_Olist_OCons V_x V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_ListOrder_Ostep1 V_r V_ys V_xs T_a)))))
% 0.93/1.09 (assume a129 (forall ((V_t $$unsorted) (V_ts $$unsorted) (V_u $$unsorted)) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) V_u) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t (tptp.c_List_Oappend V_ts (tptp.c_List_Olist_OCons V_u (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))
% 0.93/1.09 (assume a130 (forall ((V_r $$unsorted) (V_s $$unsorted)) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_r) V_s) (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))
% 0.93/1.09 (assume a131 (forall ((V_x $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (= (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_s (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_x tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) V_s) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t (tptp.c_List_Oappend V_x (tptp.c_List_Olist_OCons V_s (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a132 (forall ((V_r $$unsorted) (V_y $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (or (tptp.c_Wellfounded_Oaccp V_r V_y T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_y) V_a))) (not (tptp.c_Wellfounded_Oaccp V_r V_a T_a)))))
% 0.93/1.09 (assume a133 (forall ((V_r $$unsorted) (V_a $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (tptp.c_Wellfounded_Oaccp V_r V_a T_a) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_a) V_b))) (not (tptp.c_Wellfounded_Oaccp V_r V_b T_a)))))
% 0.93/1.09 (assume a134 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)))))
% 0.93/1.09 (assume a135 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 0.93/1.09 (assume a136 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 0.93/1.09 (assume a137 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_a) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_a) V_b))))))
% 0.93/1.09 (assume a138 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_a) V_c)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_b) V_c))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_a) V_b))))))
% 0.93/1.09 (assume a139 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_a V_b T_a)) (not (tptp.c_HOL_Oord__class_Oless V_b V_a T_a)))))
% 0.93/1.09 (assume a140 (forall ((V_dB_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 0.93/1.09 (assume a141 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1) V_dB2) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 0.93/1.09 (assume a142 (forall ((V_e $$unsorted) (V_ts $$unsorted) (V_T $$unsorted) (V_i $$unsorted)) (or (tptp.c_Type_Otypings V_e V_ts (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 V_T V_e V_i V_ts)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a143 (forall ((V_dB_H $$unsorted) (V_dB1 $$unsorted) (V_dB2 $$unsorted)) (not (= (tptp.c_Lambda_OdB_OAbs V_dB_H) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1) V_dB2)))))
% 0.93/1.09 (assume a144 (forall ((V_e $$unsorted) (V_ts $$unsorted) (V_T $$unsorted) (V_t $$unsorted)) (or (tptp.c_Type_Otypings V_e V_ts (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 V_T V_e V_t V_ts)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a145 (forall ((V_e $$unsorted) (V_i $$unsorted) (V_T $$unsorted) (T_a $$unsorted) (V_j $$unsorted)) (or (= (tptp.hAPP (tptp.c_Type_Oshift V_e V_i V_T T_a) V_j) (tptp.hAPP V_e V_j)) (not (tptp.c_HOL_Oord__class_Oless V_j V_i tptp.tc_nat)))))
% 0.93/1.09 (assume a146 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat)))
% 0.93/1.09 (assume a147 (forall ((V_n $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (= V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)))))
% 0.93/1.09 (assume a148 (forall ((V_r $$unsorted) (V_ss $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_r V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_r) V_s))))))
% 0.93/1.09 (assume a149 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a)))))
% 0.93/1.09 (assume a150 (forall ((T_a $$unsorted) (V_n $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__semidom T_a)) (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero T_a) (tptp.c_Nat_Osemiring__1__class_Oof__nat V_n T_a) T_a) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_n tptp.tc_nat)))))
% 0.93/1.09 (assume a151 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) (tptp.c_HOL_Ozero__class_Ozero T_a) V_xs T_a T_a) (tptp.c_List_Ofoldr (tptp.c_HOL_Oplus__class_Oplus T_a) V_xs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a T_a)))))
% 0.93/1.09 (assume a152 (forall ((V_s $$unsorted) (V_ss $$unsorted) (V_r $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_Lambda_OdB_OAbs V_r))) (= V_s (tptp.c_Lambda_OdB_OAbs V_r)))))
% 0.93/1.09 (assume a153 (forall ((V_r $$unsorted) (V_rs $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_r V_s))))
% 0.93/1.09 (assume a154 (forall ((V_r $$unsorted) (V_rs $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_rs V_ss))))
% 0.93/1.09 (assume a155 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a))))
% 0.93/1.09 (assume a156 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 0.93/1.09 (assume a157 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 0.93/1.09 (assume a158 (forall ((V_y $$unsorted) (V_x $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_y V_x tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_x V_y tptp.tc_nat) (= V_x V_y))))
% 0.93/1.09 (assume a159 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_n) V_m)) (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (= V_m V_n) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat))))
% 0.93/1.09 (assume a160 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_n V_m tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless V_m V_n tptp.tc_nat) (= V_m V_n))))
% 0.93/1.09 (assume a161 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (= V_x V_y) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a))))
% 0.93/1.09 (assume a162 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (tptp.c_HOL_Oord__class_Oless V_y V_x T_a) (tptp.c_HOL_Oord__class_Oless V_x V_y T_a) (= V_x V_y))))
% 0.93/1.09 (assume a163 (forall ((V_r $$unsorted) (V_rs $$unsorted) (V_ss $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_r V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_r V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta V_rs V_ss tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a164 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.93/1.09 (assume a165 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.93/1.09 (assume a166 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x T_a)))))
% 0.93/1.09 (assume a167 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n V_n tptp.tc_nat))))
% 0.93/1.09 (assume a168 (forall ((V_x $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat))))
% 0.93/1.09 (assume a169 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OAbs V_r) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_ss (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a170 (forall ((V_dB $$unsorted) (V_dB_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OAbs V_dB) (tptp.c_Lambda_OdB_OAbs V_dB_H))) (= V_dB V_dB_H))))
% 0.93/1.09 (assume a171 (forall ((V_n $$unsorted) (V_ts $$unsorted) (V_r $$unsorted) (V_ss $$unsorted)) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a172 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r)) V_s) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_s))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst V_r V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))))
% 0.93/1.09 (assume a173 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_x) V_y)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_x) V_y))))))
% 0.93/1.09 (assume a174 (forall ((V_nat $$unsorted) (V_dB_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OAbs V_dB_H)))))
% 0.93/1.09 (assume a175 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_x) V_z)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_y) V_z))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_x) V_y))))))
% 0.93/1.09 (assume a176 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_x) V_x))))
% 0.93/1.09 (assume a177 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp V_r T_a) V_a) V_a))))
% 0.93/1.09 (assume a178 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____))
% 0.93/1.09 (assume a179 (forall ((V_s $$unsorted) (V_s_H $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_Lambda_OdB_OAbs V_s)) (tptp.c_Lambda_OdB_OAbs V_s_H))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_s) V_s_H))))))
% 0.93/1.09 (assume a180 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst V_r V_s (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_s tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r)) V_s) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB))))
% 0.93/1.09 (assume a181 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_HOL_Oord__class_Oless V_x V_z T_a) (not (tptp.c_HOL_Oord__class_Oless V_y V_z T_a)) (not (tptp.c_HOL_Oord__class_Oless V_x V_y T_a)))))
% 0.93/1.09 (assume a182 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_HOL_Oord__class_Oless V_z V_x T_a) (not (tptp.c_HOL_Oord__class_Oless V_z V_y T_a)) (not (tptp.c_HOL_Oord__class_Oless V_y V_x T_a)))))
% 0.93/1.09 (assume a183 (forall ((V_m $$unsorted)) (= (tptp.c_Lambda_OdB_OVar V_m) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_m) (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))
% 0.93/1.09 (assume a184 (forall ((V_m $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_m (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 0.93/1.09 (assume a185 (forall ((V_n $$unsorted)) (not (tptp.c_HOL_Oord__class_Oless V_n (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) tptp.tc_nat))))
% 0.93/1.09 (assume a186 (forall ((V_e $$unsorted) (V_ts $$unsorted) (V_T $$unsorted) (V_t $$unsorted)) (or (tptp.c_Type_Otypings V_e V_ts (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 V_T V_e V_t V_ts)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a187 (forall ((V_r $$unsorted)) (= (tptp.c_Lambda_OdB_OAbs V_r) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r) (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))
% 0.93/1.09 (assume a188 (forall ((V_r $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OAbs V_r) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= (tptp.c_Lambda_OdB_OAbs V_r) V_s))))
% 0.93/1.09 (assume a189 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_OrderedGroup_Omonoid__add T_a)) (= (tptp.c_List_Ofoldl (tptp.c_HOL_Oplus__class_Oplus T_a) V_a V_xs T_a T_a) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus T_a) V_a) (tptp.c_List_Ofoldr (tptp.c_HOL_Oplus__class_Oplus T_a) V_xs (tptp.c_HOL_Ozero__class_Ozero T_a) T_a T_a))))))
% 0.93/1.09 (assume a190 (forall ((V_s $$unsorted) (V_ss $$unsorted) (V_r $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_Lambda_OdB_OAbs V_r))) (= V_ss (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a191 (forall ((V_r $$unsorted) (V_ts $$unsorted) (V_s $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_r V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_r V_s))))
% 0.93/1.09 (assume a192 (forall ((V_e $$unsorted) (V_us $$unsorted) (V_T $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_ts $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_Type_Otypings V_e V_us (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 V_T V_U V_e V_us)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_U)) (not (tptp.c_Type_Otypings V_e V_ts V_Ts)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_us tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a193 (forall ((V_r $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs V_r))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_r))))))
% 0.93/1.09 (assume a194 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB)))
% 0.93/1.09 (assume a195 (forall ((V_r $$unsorted)) (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_r) (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_Lambda_OdB_OAbs V_r))))
% 0.93/1.09 (assume a196 (forall ((V_m $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OVar V_m) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_ss (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a197 (forall ((V_rs $$unsorted) (V_n $$unsorted) (V_v $$unsorted)) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta V_rs (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 V_n V_rs V_v) tptp.tc_Lambda_OdB) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) V_v))))))
% 0.93/1.09 (assume a198 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_n $$unsorted) (V_ss $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s)) V_t) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a199 (forall ((V_r $$unsorted) (T_a $$unsorted)) (= (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Transitive__Closure_Ortranclp V_r T_a) T_a) (tptp.c_Transitive__Closure_Ortranclp V_r T_a))))
% 0.93/1.09 (assume a200 (forall ((V_s $$unsorted) (V_t $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OAbs V_s)) (tptp.c_Lambda_OdB_OAbs V_t))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_s) V_t))))))
% 0.93/1.09 (assume a201 (forall ((V_dB1_H $$unsorted) (V_dB2_H $$unsorted) (V_nat $$unsorted)) (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1_H) V_dB2_H) (tptp.c_Lambda_OdB_OVar V_nat)))))
% 0.93/1.09 (assume a202 (forall ((V_e $$unsorted) (V_t $$unsorted) (V_T $$unsorted) (V_u $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 V_T V_e V_t V_u)) V_T)) (not (tptp.c_Type_Otyping V_e (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_t) V_u) V_T)))))
% 0.93/1.09 (assume a203 (forall ((V_t $$unsorted) (V_i $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_t) (tptp.c_Lambda_OdB_OVar V_i)))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_t))))))
% 0.93/1.09 (assume a204 (forall ((V_e $$unsorted) (V_t $$unsorted) (V_T $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 V_T V_e V_t V_ts) V_T tptp.tc_Type_Otype tptp.tc_Type_Otype)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a205 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift V_r V_i)) (tptp.c_Lambda_Olift V_s V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_r) V_s))))))
% 0.93/1.09 (assume a206 (forall ((V_i $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Olift (tptp.c_Lambda_OdB_OVar V_i) V_k) (tptp.c_Lambda_OdB_OVar V_i)) (not (tptp.c_HOL_Oord__class_Oless V_i V_k tptp.tc_nat)))))
% 0.93/1.09 (assume a207 (forall ((V_e $$unsorted) (V_t_H $$unsorted) (V_T $$unsorted) (V_t $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t_H V_T) (not (tptp.c_Type_Otyping V_e V_t V_T)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_t) V_t_H))))))
% 0.93/1.09 (assume a208 (forall ((V_s $$unsorted) (V_u $$unsorted) (V_t $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_u)) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_t) V_u))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_s) V_t))))))
% 0.93/1.09 (assume a209 (forall ((V_u $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_u) V_s)) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_u) V_t))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_s) V_t))))))
% 0.93/1.09 (assume a210 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_s_H $$unsorted) (V_t_H $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t)) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s_H) V_t_H))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_t) V_t_H))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_s) V_s_H))))))
% 0.93/1.09 (assume a211 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_s_H $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t)) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s_H) V_t))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_s) V_s_H))))))
% 0.93/1.09 (assume a212 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_t_H $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t)) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t_H))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_t) V_t_H))))))
% 0.93/1.09 (assume a213 (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype))))
% 0.93/1.09 (assume a214 (forall ((V_x $$unsorted) (V_s $$unsorted)) (or (tptp.c_HOL_Oord__class_Oless V_x V_x tptp.tc_nat) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_x) V_s V_x) V_s))))
% 0.93/1.09 (assume a215 (forall ((V_e $$unsorted) (V_u $$unsorted) (V_T $$unsorted) (V_t $$unsorted)) (or (tptp.c_Type_Otyping V_e V_u (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 V_T V_e V_t V_u)) (not (tptp.c_Type_Otyping V_e (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_t) V_u) V_T)))))
% 0.93/1.09 (assume a216 (forall ((V_v $$unsorted) (V_n $$unsorted) (V_rs $$unsorted)) (or (= V_v (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 V_n V_rs V_v) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) V_v))))))
% 0.93/1.09 (assume a217 (forall ((V_e $$unsorted) (V_t $$unsorted) (V_ts $$unsorted) (V_T $$unsorted) (V_Ts $$unsorted)) (or (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T) (not (tptp.c_Type_Otypings V_e V_ts V_Ts)) (not (tptp.c_Type_Otyping V_e V_t (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun V_Ts V_T tptp.tc_Type_Otype tptp.tc_Type_Otype))))))
% 0.93/1.09 (assume a218 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar tptp.v_n____) tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____))
% 0.93/1.09 (assume a219 (forall ((V_e $$unsorted) (V_i $$unsorted) (V_T $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Type_Otyping V_e (tptp.c_Lambda_OdB_OVar V_i) (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 V_T V_e V_i V_ts) V_T tptp.tc_Type_Otype tptp.tc_Type_Otype)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a220 (forall ((V_i $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_i) V_s V_k) (tptp.c_Lambda_OdB_OVar V_i)) (= V_i V_k) (tptp.c_HOL_Oord__class_Oless V_k V_i tptp.tc_nat))))
% 0.93/1.09 (assume a221 (forall ((V_e $$unsorted) (V_t $$unsorted) (V_T $$unsorted) (V_ts $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 V_T V_e V_t V_ts) V_T tptp.tc_Type_Otype tptp.tc_Type_Otype)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_t V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a222 (tptp.c_Type_Otypings (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_as____ tptp.v_Ts____))
% 0.93/1.09 (assume a223 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar tptp.v_n____)) tptp.v_a____) (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)))
% 0.93/1.09 (assume a224 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) (tptp.c_Lambda_OdB_OVar tptp.v_n____) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype))))
% 0.93/1.09 (assume a225 (forall ((V_t $$unsorted) (V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_Lambda_Osubst V_t V_r V_i)) (tptp.c_Lambda_Osubst V_t V_s V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_r) V_s))))))
% 0.93/1.09 (assume a226 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar tptp.v_n____) tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_Ha______))
% 0.93/1.09 (assume a227 (forall ((V_s $$unsorted) (V_t $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Olift (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t) V_k) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift V_s V_k)) (tptp.c_Lambda_Olift V_t V_k)))))
% 0.93/1.09 (assume a228 (forall ((V_r $$unsorted) (V_t $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_Lambda_Osubst V_r V_t V_i)) (tptp.c_Lambda_Osubst V_s V_t V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_r) V_s))))))
% 0.93/1.09 (assume a229 (forall ((V_t $$unsorted) (V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_Lambda_Osubst V_t V_r V_i)) (tptp.c_Lambda_Osubst V_t V_s V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_r) V_s))))))
% 0.93/1.09 (assume a230 (forall ((V_n $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OVar V_n)))))
% 0.93/1.09 (assume a231 (forall ((V_env $$unsorted) (V_t $$unsorted) (V_T $$unsorted) (V_U $$unsorted)) (or (tptp.c_Type_Otyping V_env (tptp.c_Lambda_OdB_OAbs V_t) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_T) V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_env (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat) V_T tptp.tc_Type_Otype) V_t V_U)))))
% 0.93/1.09 (assume a232 (forall ((V_e $$unsorted) (V_x $$unsorted) (V_T $$unsorted) (T_a $$unsorted)) (= (tptp.hAPP (tptp.c_Type_Oshift V_e V_x V_T T_a) V_x) V_T)))
% 0.93/1.09 (assume a233 (forall ((V_T1 $$unsorted) (V_T2 $$unsorted) (V_t $$unsorted) (V_u $$unsorted) (V_i $$unsorted) (V_e $$unsorted) (V_Ta $$unsorted)) (or (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_T1) V_T2))) (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst V_t V_u V_i))) (not (tptp.c_Type_Otyping V_e V_u V_T1)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_u))) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e V_i V_T1 tptp.tc_Type_Otype) V_t V_Ta)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_t))))))
% 0.93/1.09 (assume a234 (forall ((V_T1 $$unsorted) (V_T2 $$unsorted) (V_t $$unsorted) (V_u $$unsorted) (V_i $$unsorted) (V_e $$unsorted) (V_Ta $$unsorted)) (or (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_T1) V_T2))) (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst V_t V_u V_i))) (not (tptp.c_Type_Otyping V_e V_u V_T2)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_u))) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e V_i V_T2 tptp.tc_Type_Otype) V_t V_Ta)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_t))))))
% 0.93/1.09 (assume a235 (forall ((V_t $$unsorted) (V_i $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Olift V_t V_i))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_t))))))
% 0.93/1.09 (assume a236 (forall ((V_nat $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1_H) V_dB2_H)))))
% 0.93/1.09 (assume a237 (forall ((V_m $$unsorted) (V_s $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OVar V_m) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= (tptp.c_Lambda_OdB_OVar V_m) V_s))))
% 0.93/1.09 (assume a238 (forall ((V_r $$unsorted) (V_ss $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_r V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp V_s V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_r) V_s))))))
% 0.93/1.09 (assume a239 (forall ((V_s $$unsorted) (V_t $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OAbs V_s)) V_t)) (tptp.c_Lambda_Osubst V_s V_t (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat))))))
% 0.93/1.09 (assume a240 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) (tptp.c_Lambda_Olift V_r V_i)) (tptp.c_Lambda_Olift V_s V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) V_r) V_s))))))
% 0.93/1.09 (assume a241 (forall ((V_T $$unsorted) (V_U $$unsorted) (V_e $$unsorted) (V_i $$unsorted) (V_ts $$unsorted)) (or (= V_T V_U) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_U)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a242 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1) V_dB2) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1_H) V_dB2_H))) (= V_dB2 V_dB2_H))))
% 0.93/1.09 (assume a243 (forall ((V_dB1 $$unsorted) (V_dB2 $$unsorted) (V_dB1_H $$unsorted) (V_dB2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1) V_dB2) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_dB1_H) V_dB2_H))) (= V_dB1 V_dB1_H))))
% 0.93/1.09 (assume a244 (forall ((V_n $$unsorted) (V_rs $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT V_rs tptp.tc_Lambda_OdB)))))
% 0.93/1.09 (assume a245 (forall ((V_env $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_U $$unsorted) (V_T $$unsorted)) (or (tptp.c_Type_Otyping V_env (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_s) V_t) V_U) (not (tptp.c_Type_Otyping V_env V_t V_T)) (not (tptp.c_Type_Otyping V_env V_s (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_T) V_U))))))
% 0.93/1.09 (assume a246 (forall ((V_i $$unsorted) (V_t $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OVar V_i)) V_t)))))
% 0.93/1.09 (assume a247 (forall ((V_U $$unsorted) (V_T $$unsorted) (V_e $$unsorted) (V_us $$unsorted) (V_i $$unsorted) (V_ts $$unsorted) (V_Ts $$unsorted)) (or (= V_U (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 V_T V_U V_e V_us) V_T tptp.tc_Type_Otype tptp.tc_Type_Otype)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_U)) (not (tptp.c_Type_Otypings V_e V_ts V_Ts)) (not (tptp.c_Type_Otyping V_e (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_i) V_ts tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_us tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) V_T)))))
% 0.93/1.09 (assume a248 (forall ((V_j $$unsorted) (V_u $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_j) V_u V_i) (tptp.c_Lambda_OdB_OVar V_j)) (not (tptp.c_HOL_Oord__class_Oless V_j V_i tptp.tc_nat)))))
% 0.93/1.09 (assume a249 (forall ((V_r $$unsorted) (V_i $$unsorted) (V_j $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst V_r (tptp.c_Lambda_OdB_OVar V_i) V_j))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT V_r))))))
% 0.93/1.09 (assume a250 (forall ((V_type1 $$unsorted) (V_type2 $$unsorted) (V_type1_H $$unsorted) (V_type2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_type1) V_type2) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_type1_H) V_type2_H))) (= V_type2 V_type2_H))))
% 0.93/1.09 (assume a251 (forall ((V_type1 $$unsorted) (V_type2 $$unsorted) (V_type1_H $$unsorted) (V_type2_H $$unsorted)) (or (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_type1) V_type2) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun V_type1_H) V_type2_H))) (= V_type1 V_type1_H))))
% 0.93/1.09 (assume a252 (forall ((V_m $$unsorted) (V_rs $$unsorted) (V_n $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_m) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_rs V_ss))))
% 0.93/1.09 (assume a253 (forall ((V_m $$unsorted) (V_rs $$unsorted) (V_n $$unsorted) (V_ss $$unsorted)) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_m) V_rs tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar V_n) V_ss tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= V_m V_n))))
% 0.93/1.09 (assume a254 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Lambda_OdB_OVar V_nat) (tptp.c_Lambda_OdB_OVar V_nat_H))) (= V_nat V_nat_H))))
% 0.93/1.09 (assume a255 (forall ((V_e $$unsorted) (V_i $$unsorted) (V_U $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e V_i V_U tptp.tc_Type_Otype) (tptp.c_Lambda_Olift V_t V_i) V_T) (not (tptp.c_Type_Otyping V_e V_t V_T)))))
% 0.93/1.09 (assume a256 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____))
% 0.93/1.09 (assume a257 (forall ((V_t $$unsorted) (V_u $$unsorted) (V_s $$unsorted) (V_k $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp V_t) V_u) V_s V_k) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst V_t V_s V_k)) (tptp.c_Lambda_Osubst V_u V_s V_k)))))
% 0.93/1.09 (assume a258 (forall ((V_e $$unsorted) (V_t_H $$unsorted) (V_T $$unsorted) (V_t $$unsorted)) (or (tptp.c_Type_Otyping V_e V_t_H V_T) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_t) V_t_H))) (not (tptp.c_Type_Otyping V_e V_t V_T)))))
% 0.93/1.09 (assume a259 (forall ((V_k $$unsorted) (V_u $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar V_k) V_u V_k) V_u)))
% 0.93/1.09 (assume a260 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype))))
% 0.93/1.09 (assume a261 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____))
% 0.93/1.09 (assume a262 (= tptp.v_n____ tptp.v_i____))
% 0.93/1.09 (assume a263 (forall ((V_e $$unsorted) (V_i $$unsorted) (V_T $$unsorted)) (or (= (tptp.hAPP V_e V_i) V_T) (not (tptp.c_Type_Otyping V_e (tptp.c_Lambda_OdB_OVar V_i) V_T)))))
% 0.93/1.09 (assume a264 (forall ((V_r $$unsorted) (V_t $$unsorted) (V_i $$unsorted) (V_s $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst V_r V_t V_i)) (tptp.c_Lambda_Osubst V_s V_t V_i))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta V_r) V_s))))))
% 0.93/1.09 (assume a265 (forall ((V_env $$unsorted) (V_x $$unsorted)) (tptp.c_Type_Otyping V_env (tptp.c_Lambda_OdB_OVar V_x) (tptp.hAPP V_env V_x))))
% 0.93/1.09 (assume a266 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____)))
% 0.93/1.09 (assume a267 (forall ((V_t $$unsorted) (V_k $$unsorted) (V_s $$unsorted)) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift V_t V_k) V_s V_k) V_t)))
% 0.93/1.09 (assume a268 (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))))
% 0.93/1.09 (assume a269 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____))
% 0.93/1.09 (assume a270 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____))
% 0.93/1.09 (assume a271 (not (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))
% 0.93/1.09 (assume a272 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 0.93/1.09 (assume a273 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 0.93/1.09 (assume a274 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat))
% 0.93/1.09 (assume a275 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat))
% 0.93/1.09 (assume a276 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat))
% 0.93/1.09 (assume a277 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat))
% 0.93/1.09 (assume a278 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat))
% 0.93/1.09 (assume a279 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat))
% 0.93/1.09 (assume a280 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat))
% 0.93/1.09 (assume a281 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat))
% 0.93/1.09 (assume a282 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 0.93/1.09 (assume a283 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat))
% 0.93/1.09 (assume a284 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat))
% 0.93/1.09 (assume a285 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat))
% 0.93/1.09 (assume a286 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat))
% 0.93/1.09 (assume a287 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 0.93/1.09 (assume a288 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 0.93/1.09 (assume a289 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 0.93/1.09 (assume a290 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 0.93/1.09 (assume a291 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 0.93/1.09 (assume a292 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))))
% 0.93/1.09 (assume a293 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y))))))
% 0.93/1.09 (step t1 (cl (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T)))) :rule implies_neg1)
% 0.93/1.09 (anchor :step t2)
% 0.93/1.09 (assume t2.a0 (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))))
% 0.93/1.09 (step t2.t1 (cl (or (not (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T)))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule forall_inst :args ((:= V_e_H tptp.v_e____) (:= V_u tptp.v_u____) (:= V_U tptp.v_T____) (:= V_i tptp.v_i____) (:= V_t tptp.v_a____) (:= V_T tptp.v_T_H_H____)))
% 0.93/1.09 (step t2.t2 (cl (not (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T)))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) :rule or :premises (t2.t1))
% 0.93/1.09 (step t2.t3 (cl (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) :rule resolution :premises (t2.t2 t2.a0))
% 0.93/1.09 (step t2 (cl (not (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T)))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) :rule subproof :discharge (t2.a0))
% 0.93/1.09 (step t3 (cl (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) :rule resolution :premises (t1 t2))
% 0.93/1.09 (step t4 (cl (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) (not (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule implies_neg2)
% 0.93/1.09 (step t5 (cl (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule resolution :premises (t3 t4))
% 0.93/1.09 (step t6 (cl (=> (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule contraction :premises (t5))
% 0.93/1.09 (step t7 (cl (not (forall ((V_e_H $$unsorted) (V_u $$unsorted) (V_U $$unsorted) (V_i $$unsorted) (V_t $$unsorted) (V_T $$unsorted)) (or (not (tptp.c_Type_Otyping V_e_H V_u V_U)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift V_e_H V_i V_U tptp.tc_Type_Otype) V_t V_T)) (tptp.c_Type_Otyping V_e_H (tptp.c_Lambda_Osubst V_t V_u V_i) V_T)))) (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) :rule implies :premises (t6))
% 0.93/1.09 (step t8 (cl (not (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____))) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)) :rule or_pos)
% 0.93/1.09 (step t9 (cl (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____) (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (not (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule reordering :premises (t8))
% 0.93/1.09 (step t10 (cl (not (or (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype) tptp.v_a____ tptp.v_T_H_H____)) (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)))) :rule resolution :premises (t9 a271 a269 a270))
% 0.93/1.09 (step t11 (cl) :rule resolution :premises (t7 t10 a268))
% 0.93/1.09
% 0.93/1.09 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.pTLf2fKAfK/cvc5---1.0.5_23598.smt2
% 0.93/1.10 % cvc5---1.0.5 exiting
% 0.93/1.10 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------