%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL754-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:46 AM UTC 2026 % Result : Unsatisfiable 3.22s 3.55s % Output : Proof 3.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL754-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n028.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 15:43:13 UTC 2026 % 0.11/0.37 % CPUTime : % 0.30/0.62 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.22/3.55 % SZS status Unsatisfiable % 3.22/3.55 % SZS output start Proof % 3.22/3.57 ( % 3.22/3.57 (declare-sort $$unsorted 0) % 3.22/3.57 (declare-const tptp.v_ia $$unsorted) % 3.22/3.57 (declare-const tptp.v_ja $$unsorted) % 3.22/3.57 (declare-const tptp.v_ra $$unsorted) % 3.22/3.57 (declare-const tptp.c_List_Oupt (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_OdB_OApp (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_HOL_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_List_Olast (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.tc_nat $$unsorted) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Odivision__ring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 3.22/3.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 3.22/3.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 3.22/3.57 (define @t1 () (@var "T_a" $$unsorted)) % 3.22/3.57 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 3.22/3.57 (define @t3 () (@var "V_a" $$unsorted)) % 3.22/3.57 (define @t4 () (= @t3 @t2)) % 3.22/3.57 (define @t5 () (@var "V_x" $$unsorted)) % 3.22/3.57 (define @t6 () (not (tptp.class_Int_Onumber__ring @t1))) % 3.22/3.57 (define @t7 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 3.22/3.57 (define @t8 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 3.22/3.57 (define @t9 () (@var "V_n" $$unsorted)) % 3.22/3.57 (define @t10 () (= @t9 @t8)) % 3.22/3.57 (define @t11 () (@var "V_m" $$unsorted)) % 3.22/3.57 (define @t12 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t13 () (@list @t11 @t9)) % 3.22/3.57 (define @t14 () (@var "V_c" $$unsorted)) % 3.22/3.57 (define @t15 () (@var "V_b" $$unsorted)) % 3.22/3.57 (define @t16 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t14 @t1)) % 3.22/3.57 (define @t17 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t14 @t1)) % 3.22/3.57 (define @t18 () (tptp.c_HOL_Oord__class_Oless @t17 @t16 @t1)) % 3.22/3.57 (define @t19 () (not @t18)) % 3.22/3.57 (define @t20 () (not (tptp.c_lessequals @t2 @t14 @t1))) % 3.22/3.57 (define @t21 () (tptp.c_HOL_Oord__class_Oless @t3 @t15 @t1)) % 3.22/3.57 (define @t22 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 3.22/3.57 (define @t23 () (@list @t1 @t3 @t15 @t14)) % 3.22/3.57 (define @t24 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t15 @t1)) % 3.22/3.57 (define @t25 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t3 @t1)) % 3.22/3.57 (define @t26 () (tptp.c_HOL_Oord__class_Oless @t25 @t24 @t1)) % 3.22/3.57 (define @t27 () (not @t26)) % 3.22/3.57 (define @t28 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 3.22/3.57 (define @t29 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t1)) % 3.22/3.57 (define @t30 () (= @t29 @t2)) % 3.22/3.57 (define @t31 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 3.22/3.57 (define @t32 () (@list @t1 @t5)) % 3.22/3.57 (define @t33 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 3.22/3.57 (define @t34 () (@list @t1 @t3)) % 3.22/3.57 (define @t35 () (@list @t11)) % 3.22/3.57 (define @t36 () (tptp.c_Divides_Odiv__class_Omod @t15 @t14 @t1)) % 3.22/3.57 (define @t37 () (tptp.c_Divides_Odiv__class_Omod @t3 @t14 @t1)) % 3.22/3.57 (define @t38 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t15 @t1)) % 3.22/3.57 (define @t39 () (tptp.c_Divides_Odiv__class_Omod @t38 @t14 @t1)) % 3.22/3.57 (define @t40 () (not (tptp.class_Divides_Osemiring__div @t1))) % 3.22/3.57 (define @t41 () (tptp.c_Power_Opower__class_Opower @t3 @t9 @t1)) % 3.22/3.57 (define @t42 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t41 @t1)) % 3.22/3.57 (define @t43 () (tptp.c_HOL_Otimes__class_Otimes @t41 @t3 @t1)) % 3.22/3.57 (define @t44 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 3.22/3.57 (define @t45 () (@list @t1 @t3 @t9)) % 3.22/3.57 (define @t46 () (@var "V_q" $$unsorted)) % 3.22/3.57 (define @t47 () (@var "V_p" $$unsorted)) % 3.22/3.57 (define @t48 () (tptp.c_Power_Opower__class_Opower @t5 @t46 @t1)) % 3.22/3.57 (define @t49 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 3.22/3.57 (define @t50 () (@var "V_k" $$unsorted)) % 3.22/3.57 (define @t51 () (@var "V_t" $$unsorted)) % 3.22/3.57 (define @t52 () (tptp.c_Lambda_Oliftn @t9 @t51 @t50)) % 3.22/3.57 (define @t53 () (tptp.c_Suc @t9)) % 3.22/3.57 (define @t54 () (tptp.c_HOL_Oone__class_Oone @t1)) % 3.22/3.57 (define @t55 () (tptp.c_lessequals @t54 @t5 @t1)) % 3.22/3.57 (define @t56 () (tptp.c_HOL_Oinverse__class_Oinverse @t5 @t1)) % 3.22/3.57 (define @t57 () (tptp.c_lessequals @t56 @t54 @t1)) % 3.22/3.57 (define @t58 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 3.22/3.57 (define @t59 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 3.22/3.57 (define @t60 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t54 @t1)) % 3.22/3.57 (define @t61 () (@list @t1 @t11)) % 3.22/3.57 (define @t62 () (@var "V_y" $$unsorted)) % 3.22/3.57 (define @t63 () (= @t62 @t2)) % 3.22/3.57 (define @t64 () (not (tptp.c_lessequals @t2 @t5 @t1))) % 3.22/3.57 (define @t65 () (not (tptp.c_lessequals @t2 @t62 @t1))) % 3.22/3.57 (define @t66 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t62 @t1)) % 3.22/3.57 (define @t67 () (not (= @t66 @t2))) % 3.22/3.57 (define @t68 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 3.22/3.57 (define @t69 () (@list @t1 @t5 @t62)) % 3.22/3.57 (define @t70 () (= @t5 @t2)) % 3.22/3.57 (define @t71 () (= @t11 @t8)) % 3.22/3.57 (define @t72 () (not (= @t12 @t8))) % 3.22/3.57 (define @t73 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 3.22/3.57 (define @t74 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 3.22/3.57 (define @t75 () (= @t5 @t62)) % 3.22/3.57 (define @t76 () (tptp.c_Suc @t5)) % 3.22/3.57 (define @t77 () (@list @t5 @t62)) % 3.22/3.57 (define @t78 () (@var "V_nat_H" $$unsorted)) % 3.22/3.57 (define @t79 () (@var "V_nat" $$unsorted)) % 3.22/3.57 (define @t80 () (= @t79 @t78)) % 3.22/3.57 (define @t81 () (tptp.c_Suc @t78)) % 3.22/3.57 (define @t82 () (@list @t79 @t78)) % 3.22/3.57 (define @t83 () (tptp.c_Suc @t8)) % 3.22/3.57 (define @t84 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 3.22/3.57 (define @t85 () (@var "V_d" $$unsorted)) % 3.22/3.57 (define @t86 () (@var "V_e" $$unsorted)) % 3.22/3.57 (define @t87 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t3 @t1)) % 3.22/3.57 (define @t88 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t87 @t86 @t1) @t85 @t1)) % 3.22/3.57 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t14 @t88 @t1)) % 3.22/3.57 (define @t90 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t86 @t1)) % 3.22/3.57 (define @t91 () (tptp.c_HOL_Oplus__class_Oplus @t90 @t85 @t1)) % 3.22/3.57 (define @t92 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t86 @t1)) % 3.22/3.57 (define @t93 () (tptp.c_HOL_Oplus__class_Oplus @t92 @t14 @t1)) % 3.22/3.57 (define @t94 () (tptp.c_HOL_Oord__class_Oless @t93 @t91 @t1)) % 3.22/3.57 (define @t95 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 3.22/3.57 (define @t96 () (@list @t1 @t3 @t86 @t14 @t15 @t85)) % 3.22/3.57 (define @t97 () (not @t94)) % 3.22/3.57 (define @t98 () (@list @t1 @t14 @t15 @t3 @t86 @t85)) % 3.22/3.57 (define @t99 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t15 @t1)) % 3.22/3.57 (define @t100 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t99 @t86 @t1) @t14 @t1)) % 3.22/3.57 (define @t101 () (tptp.c_HOL_Oord__class_Oless @t100 @t85 @t1)) % 3.22/3.57 (define @t102 () (@list @t1 @t3 @t15 @t86 @t14 @t85)) % 3.22/3.57 (define @t103 () (tptp.c_lessequals @t9 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t104 () (not @t103)) % 3.22/3.57 (define @t105 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t106 () (tptp.c_Divides_Odiv__class_Omod @t11 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t107 () (= @t106 (tptp.c_Divides_Odiv__class_Omod @t105 @t9 tptp.tc_nat))) % 3.22/3.57 (define @t108 () (= @t15 @t2)) % 3.22/3.57 (define @t109 () (not (= @t38 @t2))) % 3.22/3.57 (define @t110 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 3.22/3.57 (define @t111 () (@list @t1 @t3 @t15)) % 3.22/3.57 (define @t112 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 3.22/3.57 (define @t113 () (@var "V_b_H" $$unsorted)) % 3.22/3.57 (define @t114 () (@var "V_a_H" $$unsorted)) % 3.22/3.57 (define @t115 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t15 @t1)) % 3.22/3.57 (define @t116 () (tptp.c_Divides_Odiv__class_Omod @t115 @t14 @t1)) % 3.22/3.57 (define @t117 () (not (= @t37 (tptp.c_Divides_Odiv__class_Omod @t114 @t14 @t1)))) % 3.22/3.57 (define @t118 () (not (= @t36 (tptp.c_Divides_Odiv__class_Omod @t113 @t14 @t1)))) % 3.22/3.57 (define @t119 () (@list @t1 @t15 @t14 @t113 @t3 @t114)) % 3.22/3.57 (define @t120 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 3.22/3.57 (define @t121 () (not @t120)) % 3.22/3.57 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t73 @t2 @t1)) % 3.22/3.57 (define @t123 () (not @t122)) % 3.22/3.57 (define @t124 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 3.22/3.57 (define @t125 () (= @t11 @t83)) % 3.22/3.57 (define @t126 () (= @t9 @t83)) % 3.22/3.57 (define @t127 () (not (= @t83 @t12))) % 3.22/3.57 (define @t128 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t3 @t1)) % 3.22/3.57 (define @t129 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 3.22/3.57 (define @t130 () (not @t129)) % 3.22/3.57 (define @t131 () (tptp.c_HOL_Oord__class_Oless @t2 @t15 @t1)) % 3.22/3.57 (define @t132 () (@list @t1 @t15 @t3)) % 3.22/3.57 (define @t133 () (tptp.c_HOL_Oord__class_Oless @t2 @t38 @t1)) % 3.22/3.57 (define @t134 () (not @t131)) % 3.22/3.57 (define @t135 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t2 @t1))) % 3.22/3.57 (define @t136 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 3.22/3.57 (define @t137 () (tptp.c_Power_Opower__class_Opower @t15 @t9 @t1)) % 3.22/3.57 (define @t138 () (tptp.c_HOL_Oord__class_Oless @t41 @t137 @t1)) % 3.22/3.57 (define @t139 () (tptp.c_lessequals @t2 @t15 @t1)) % 3.22/3.57 (define @t140 () (not @t139)) % 3.22/3.57 (define @t141 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 3.22/3.57 (define @t142 () (@list @t1 @t3 @t15 @t9)) % 3.22/3.57 (define @t143 () (@var "V_i" $$unsorted)) % 3.22/3.57 (define @t144 () (@var "V_j" $$unsorted)) % 3.22/3.57 (define @t145 () (tptp.c_HOL_Ominus__class_Ominus @t144 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t146 () (tptp.c_lessequals @t145 @t143 tptp.tc_nat)) % 3.22/3.57 (define @t147 () (tptp.c_HOL_Oplus__class_Oplus @t143 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t148 () (tptp.c_lessequals @t144 @t147 tptp.tc_nat)) % 3.22/3.57 (define @t149 () (@list @t144 @t143 @t50)) % 3.22/3.57 (define @t150 () (@list @t144 @t50 @t143)) % 3.22/3.57 (define @t151 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 3.22/3.57 (define @t152 () (@list @t1)) % 3.22/3.57 (define @t153 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t5 @t1)) % 3.22/3.57 (define @t154 () (tptp.c_HOL_Oplus__class_Oplus @t153 (tptp.c_HOL_Otimes__class_Otimes @t62 @t62 @t1) @t1)) % 3.22/3.57 (define @t155 () (@var "V_w" $$unsorted)) % 3.22/3.57 (define @t156 () (@var "V_z" $$unsorted)) % 3.22/3.57 (define @t157 () (= @t62 @t156)) % 3.22/3.57 (define @t158 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t62 @t1)) % 3.22/3.57 (define @t159 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t156 @t1)) % 3.22/3.57 (define @t160 () (= @t3 @t15)) % 3.22/3.57 (define @t161 () (= @t14 @t85)) % 3.22/3.57 (define @t162 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t85 @t1)) % 3.22/3.57 (define @t163 () (@list @t1 @t3 @t14 @t15 @t85)) % 3.22/3.57 (define @t164 () (tptp.c_HOL_Oinverse__class_Oinverse @t3 @t1)) % 3.22/3.57 (define @t165 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t41 @t1) (tptp.c_Power_Opower__class_Opower @t164 @t9 @t1))) % 3.22/3.57 (define @t166 () (not (tptp.class_Ring__and__Field_Odivision__ring @t1))) % 3.22/3.57 (define @t167 () (tptp.c_Suc @t11)) % 3.22/3.57 (define @t168 () (tptp.c_lessequals @t3 @t2 @t1)) % 3.22/3.57 (define @t169 () (not @t168)) % 3.22/3.57 (define @t170 () (tptp.c_HOL_Oord__class_Oless @t115 @t2 @t1)) % 3.22/3.57 (define @t171 () (tptp.c_lessequals @t15 @t2 @t1)) % 3.22/3.57 (define @t172 () (not @t171)) % 3.22/3.57 (define @t173 () (tptp.c_HOL_Oord__class_Oless @t11 @t53 tptp.tc_nat)) % 3.22/3.57 (define @t174 () (not @t173)) % 3.22/3.57 (define @t175 () (tptp.c_HOL_Oord__class_Oless @t11 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t176 () (= @t11 @t9)) % 3.22/3.57 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t9 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t9 @t167 tptp.tc_nat)) % 3.22/3.57 (define @t179 () (not @t178)) % 3.22/3.57 (define @t180 () (= @t9 @t11)) % 3.22/3.57 (define @t181 () (@list @t9 @t11)) % 3.22/3.57 (define @t182 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 3.22/3.57 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t182 @t182 @t1)) % 3.22/3.57 (define @t184 () (not (tptp.c_lessequals @t50 @t144 tptp.tc_nat))) % 3.22/3.57 (define @t185 () (tptp.c_HOL_Oplus__class_Oplus @t143 @t145 tptp.tc_nat)) % 3.22/3.57 (define @t186 () (tptp.c_HOL_Oplus__class_Oplus @t143 @t144 tptp.tc_nat)) % 3.22/3.57 (define @t187 () (tptp.c_HOL_Ominus__class_Ominus @t186 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t188 () (@list @t143 @t144 @t50)) % 3.22/3.57 (define @t189 () (tptp.c_HOL_Oplus__class_Oplus @t145 @t143 tptp.tc_nat)) % 3.22/3.57 (define @t190 () (tptp.c_HOL_Oplus__class_Oplus @t144 @t143 tptp.tc_nat)) % 3.22/3.57 (define @t191 () (tptp.c_HOL_Ominus__class_Ominus @t190 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t192 () (@var "V_ry" $$unsorted)) % 3.22/3.57 (define @t193 () (@var "V_ly" $$unsorted)) % 3.22/3.57 (define @t194 () (@var "V_rx" $$unsorted)) % 3.22/3.57 (define @t195 () (@var "V_lx" $$unsorted)) % 3.22/3.57 (define @t196 () (tptp.c_HOL_Otimes__class_Otimes @t195 @t194 @t1)) % 3.22/3.57 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t194 @t192 @t1)) % 3.22/3.57 (define @t198 () (tptp.c_HOL_Otimes__class_Otimes @t195 @t193 @t1)) % 3.22/3.57 (define @t199 () (tptp.c_HOL_Otimes__class_Otimes @t198 @t197 @t1)) % 3.22/3.57 (define @t200 () (@list @t1 @t195 @t193 @t194 @t192)) % 3.22/3.57 (define @t201 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1) @t2)) % 3.22/3.57 (define @t202 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1) @t2)) % 3.22/3.57 (define @t203 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 3.22/3.57 (define @t204 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t54 @t1)) % 3.22/3.57 (define @t205 () (tptp.c_HOL_Otimes__class_Otimes @t204 @t11 @t1)) % 3.22/3.57 (define @t206 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t11 @t1)) % 3.22/3.57 (define @t207 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t9 @t1)) % 3.22/3.57 (define @t208 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t11 @t1)) % 3.22/3.57 (define @t209 () (@list @t1 @t11 @t9)) % 3.22/3.57 (define @t210 () (tptp.c_lessequals @t3 @t15 @t1)) % 3.22/3.57 (define @t211 () (not @t210)) % 3.22/3.57 (define @t212 () (tptp.c_HOL_Oinverse__class_Oinverse @t15 @t1)) % 3.22/3.57 (define @t213 () (tptp.c_lessequals @t212 @t164 @t1)) % 3.22/3.57 (define @t214 () (not (tptp.c_lessequals @t164 @t212 @t1))) % 3.22/3.57 (define @t215 () (tptp.c_lessequals @t15 @t3 @t1)) % 3.22/3.57 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t8 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t217 () (not @t216)) % 3.22/3.57 (define @t218 () (@var "V_l" $$unsorted)) % 3.22/3.57 (define @t219 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t218 tptp.tc_nat))) % 3.22/3.57 (define @t220 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t221 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t222 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t3 @t1)) % 3.22/3.57 (define @t223 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 3.22/3.57 (define @t224 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t3 @t1)) % 3.22/3.57 (define @t225 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t14 @t1)) % 3.22/3.57 (define @t226 () (tptp.c_lessequals @t5 @t2 @t1)) % 3.22/3.57 (define @t227 () (not @t226)) % 3.22/3.57 (define @t228 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t229 () (@var "V_s" $$unsorted)) % 3.22/3.57 (define @t230 () (tptp.c_Lambda_OdB_OAbs @t51)) % 3.22/3.57 (define @t231 () (@list @t51 @t229 @t50)) % 3.22/3.57 (define @t232 () (tptp.c_HOL_Ominus__class_Ominus @t167 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t233 () (tptp.c_lessequals @t93 @t91 @t1)) % 3.22/3.57 (define @t234 () (not @t233)) % 3.22/3.57 (define @t235 () (tptp.c_lessequals @t100 @t85 @t1)) % 3.22/3.57 (define @t236 () (tptp.c_lessequals @t14 @t88 @t1)) % 3.22/3.57 (define @t237 () (@var "V_N" $$unsorted)) % 3.22/3.57 (define @t238 () (not (tptp.c_lessequals @t9 @t237 tptp.tc_nat))) % 3.22/3.57 (define @t239 () (tptp.c_lessequals @t2 @t3 @t1)) % 3.22/3.57 (define @t240 () (not @t239)) % 3.22/3.57 (define @t241 () (tptp.c_Power_Opower__class_Opower @t3 @t237 @t1)) % 3.22/3.57 (define @t242 () (@list @t1 @t3 @t237 @t9)) % 3.22/3.57 (define @t243 () (not (tptp.c_HOL_Oord__class_Oless @t143 @t144 tptp.tc_nat))) % 3.22/3.57 (define @t244 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t144 tptp.tc_nat)) % 3.22/3.57 (define @t245 () (@list @t143 @t11 @t144)) % 3.22/3.57 (define @t246 () (tptp.c_HOL_Oplus__class_Oplus @t144 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t247 () (@list @t143 @t144 @t11)) % 3.22/3.57 (define @t248 () (tptp.c_HOL_Oord__class_Oless @t143 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t249 () (@list @t143 @t50 @t144)) % 3.22/3.57 (define @t250 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t156 tptp.tc_nat)) % 3.22/3.57 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t5 @t250 tptp.tc_nat)) % 3.22/3.57 (define @t252 () (@list @t5 @t62 @t156)) % 3.22/3.57 (define @t253 () (tptp.c_HOL_Oord__class_Oless @t5 @t62 tptp.tc_nat)) % 3.22/3.57 (define @t254 () (not @t253)) % 3.22/3.57 (define @t255 () (tptp.c_lessequals @t53 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t256 () (not @t255)) % 3.22/3.57 (define @t257 () (tptp.c_lessequals @t167 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t258 () (not @t257)) % 3.22/3.57 (define @t259 () (not @t175)) % 3.22/3.57 (define @t260 () (not @t215)) % 3.22/3.57 (define @t261 () (tptp.c_lessequals @t15 @t225 @t1)) % 3.22/3.57 (define @t262 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 3.22/3.57 (define @t263 () (@list @t1 @t15 @t3 @t14)) % 3.22/3.57 (define @t264 () (not (tptp.c_lessequals @t15 @t14 @t1))) % 3.22/3.57 (define @t265 () (tptp.c_lessequals @t147 @t144 tptp.tc_nat)) % 3.22/3.57 (define @t266 () (tptp.c_lessequals @t143 @t145 tptp.tc_nat)) % 3.22/3.57 (define @t267 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t5 tptp.tc_nat)) % 3.22/3.57 (define @t268 () (@list @t11 @t5)) % 3.22/3.57 (define @t269 () (@list @t143 @t11)) % 3.22/3.57 (define @t270 () (not (= @t93 @t91))) % 3.22/3.57 (define @t271 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 3.22/3.57 (define @t272 () (@list @t78)) % 3.22/3.57 (define @t273 () (tptp.c_Suc @t12)) % 3.22/3.57 (define @t274 () (tptp.c_HOL_Oplus__class_Oplus @t167 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t275 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t53 tptp.tc_nat)) % 3.22/3.57 (define @t276 () (not (tptp.class_Power_Opower @t1))) % 3.22/3.57 (define @t277 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 3.22/3.57 (define @t278 () (@list @t1 @t9)) % 3.22/3.57 (define @t279 () (not (tptp.c_lessequals @t54 @t3 @t1))) % 3.22/3.57 (define @t280 () (not @t21)) % 3.22/3.57 (define @t281 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t85 @t1))) % 3.22/3.57 (define @t282 () (tptp.c_HOL_Oord__class_Oless @t17 @t162 @t1)) % 3.22/3.57 (define @t283 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t37 @t15 @t1) @t14 @t1)) % 3.22/3.57 (define @t284 () (@list @t1 @t3 @t14 @t15)) % 3.22/3.57 (define @t285 () (tptp.c_lessequals @t11 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t286 () (not @t285)) % 3.22/3.57 (define @t287 () (= @t105 @t8)) % 3.22/3.57 (define @t288 () (not @t287)) % 3.22/3.57 (define @t289 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t290 () (tptp.c_Suc @t144)) % 3.22/3.57 (define @t291 () (tptp.c_Suc @t145)) % 3.22/3.57 (define @t292 () (= (tptp.c_HOL_Otimes__class_Otimes @t54 @t3 @t1) @t3)) % 3.22/3.57 (define @t293 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 3.22/3.57 (define @t294 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t54 @t1) @t3)) % 3.22/3.57 (define @t295 () (tptp.c_HOL_Oord__class_Oless @t15 @t225 @t1)) % 3.22/3.57 (define @t296 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t297 () (@list @t11 @t9 @t50)) % 3.22/3.57 (define @t298 () (tptp.c_HOL_Oplus__class_Oplus @t83 @t8 tptp.tc_nat)) % 3.22/3.57 (define @t299 () (tptp.c_Divides_Odiv__class_Omod @t3 @t15 @t1)) % 3.22/3.57 (define @t300 () (tptp.c_lessequals @t208 @t207 @t1)) % 3.22/3.57 (define @t301 () (@list @t9)) % 3.22/3.57 (define @t302 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t14 @t1)) % 3.22/3.57 (define @t303 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t85 @t1)) % 3.22/3.57 (define @t304 () (tptp.c_HOL_Oplus__class_Oplus @t158 @t159 @t1)) % 3.22/3.57 (define @t305 () (@list @t1 @t5 @t62 @t156)) % 3.22/3.57 (define @t306 () (tptp.c_lessequals @t2 @t73 @t1)) % 3.22/3.57 (define @t307 () (tptp.c_Suc @t106)) % 3.22/3.57 (define @t308 () (= @t307 @t9)) % 3.22/3.57 (define @t309 () (tptp.c_Divides_Odiv__class_Omod @t167 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t310 () (tptp.c_lessequals @t2 @t164 @t1)) % 3.22/3.57 (define @t311 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t164 @t1) @t3)) % 3.22/3.57 (define @t312 () (tptp.c_Power_Opower__class_Opower @t3 @t53 @t1)) % 3.22/3.57 (define @t313 () (tptp.c_HOL_Otimes__class_Otimes @t5 @t48 @t1)) % 3.22/3.57 (define @t314 () (tptp.c_Power_Opower__class_Opower @t5 (tptp.c_Suc @t46) @t1)) % 3.22/3.57 (define @t315 () (@list @t1 @t5 @t46)) % 3.22/3.57 (define @t316 () (not (tptp.c_lessequals @t143 @t144 tptp.tc_nat))) % 3.22/3.57 (define @t317 () (tptp.c_HOL_Oplus__class_Oplus @t144 @t218 tptp.tc_nat)) % 3.22/3.57 (define @t318 () (@list @t143 @t50 @t144 @t218)) % 3.22/3.57 (define @t319 () (not (tptp.c_lessequals @t14 @t85 @t1))) % 3.22/3.57 (define @t320 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t85 @t1)) % 3.22/3.57 (define @t321 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 3.22/3.57 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t5 @t76 tptp.tc_nat)) % 3.22/3.57 (define @t323 () (tptp.c_lessequals @t5 @t5 tptp.tc_nat)) % 3.22/3.57 (define @t324 () (@list @t5)) % 3.22/3.57 (define @t325 () (tptp.c_HOL_Otimes__class_Otimes @t62 @t5 @t1)) % 3.22/3.57 (define @t326 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 3.22/3.57 (define @t327 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 3.22/3.57 (define @t328 () (not (tptp.c_HOL_Oord__class_Oless @t164 @t212 @t1))) % 3.22/3.57 (define @t329 () (tptp.c_HOL_Oord__class_Oless @t15 @t3 @t1)) % 3.22/3.57 (define @t330 () (tptp.c_HOL_Oord__class_Oless @t212 @t164 @t1)) % 3.22/3.57 (define @t331 () (tptp.c_HOL_Oord__class_Oless @t56 @t54 @t1)) % 3.22/3.57 (define @t332 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t333 () (tptp.c_lessequals @t54 @t56 @t1)) % 3.22/3.57 (define @t334 () (not @t333)) % 3.22/3.57 (define @t335 () (tptp.c_lessequals @t5 @t54 @t1)) % 3.22/3.57 (define @t336 () (tptp.c_lessequals @t5 @t62 @t1)) % 3.22/3.57 (define @t337 () (not @t336)) % 3.22/3.57 (define @t338 () (tptp.c_lessequals @t62 @t5 @t1)) % 3.22/3.57 (define @t339 () (tptp.c_HOL_Oord__class_Oless @t5 @t62 @t1)) % 3.22/3.57 (define @t340 () (not (tptp.class_Orderings_Opreorder @t1))) % 3.22/3.57 (define @t341 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t143 tptp.tc_nat)) % 3.22/3.57 (define @t342 () (@list @t143 @t50)) % 3.22/3.57 (define @t343 () (tptp.c_Lambda_OdB_OVar @t143)) % 3.22/3.57 (define @t344 () (tptp.c_Lambda_Oliftn @t9 @t343 @t50)) % 3.22/3.57 (define @t345 () (@list @t9 @t143 @t50)) % 3.22/3.57 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t2 @t115 @t1)) % 3.22/3.57 (define @t347 () (tptp.c_HOL_Oord__class_Oless @t164 @t2 @t1)) % 3.22/3.57 (define @t348 () (not @t347)) % 3.22/3.57 (define @t349 () (not (tptp.c_HOL_Oord__class_Oless @t54 @t3 @t1))) % 3.22/3.57 (define @t350 () (tptp.c_Lambda_OdB_OAbs @t229)) % 3.22/3.57 (define @t351 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t352 () (not @t338)) % 3.22/3.57 (define @t353 () (not (tptp.class_Orderings_Oorder @t1))) % 3.22/3.57 (define @t354 () (tptp.c_Divides_Odiv__class_Omod @t99 @t14 @t1)) % 3.22/3.57 (define @t355 () (not (tptp.class_Divides_Oring__div @t1))) % 3.22/3.57 (define @t356 () (tptp.c_lessequals @t99 @t2 @t1)) % 3.22/3.57 (define @t357 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 3.22/3.57 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t225 @t320 @t1)) % 3.22/3.57 (define @t359 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 3.22/3.57 (define @t360 () (tptp.c_lessequals @t5 @t62 tptp.tc_nat)) % 3.22/3.57 (define @t361 () (not @t339)) % 3.22/3.57 (define @t362 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t54 @t1) @t54)) % 3.22/3.57 (define @t363 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 3.22/3.57 (define @t364 () (tptp.c_HOL_Oord__class_Oless @t2 @t5 @t1)) % 3.22/3.57 (define @t365 () (not @t364)) % 3.22/3.57 (define @t366 () (tptp.c_HOL_Oord__class_Oless @t5 @t54 @t1)) % 3.22/3.57 (define @t367 () (tptp.c_HOL_Oord__class_Oless @t54 @t56 @t1)) % 3.22/3.57 (define @t368 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t369 () (not (tptp.c_HOL_Oord__class_Oless @t144 @t50 tptp.tc_nat))) % 3.22/3.57 (define @t370 () (tptp.c_Suc @t143)) % 3.22/3.57 (define @t371 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t14 @t1)) % 3.22/3.57 (define @t372 () (tptp.c_lessequals @t225 @t371 @t1)) % 3.22/3.57 (define @t373 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t15 @t1)) % 3.22/3.57 (define @t374 () (tptp.c_lessequals @t224 @t373 @t1)) % 3.22/3.57 (define @t375 () (@list @t1 @t14 @t3 @t15)) % 3.22/3.57 (define @t376 () (tptp.c_HOL_Oplus__class_Oplus @t144 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t377 () (tptp.c_lessequals @t289 @t220 tptp.tc_nat)) % 3.22/3.57 (define @t378 () (@list @t50 @t11 @t9)) % 3.22/3.57 (define @t379 () (@list @t143 @t144)) % 3.22/3.57 (define @t380 () (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t105 tptp.tc_nat) @t11)) % 3.22/3.57 (define @t381 () (tptp.c_Power_Opower__class_Opower @t15 @t53 @t1)) % 3.22/3.57 (define @t382 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 3.22/3.57 (define @t383 () (not @t367)) % 3.22/3.57 (define @t384 () (not (= @t41 @t2))) % 3.22/3.57 (define @t385 () (tptp.c_HOL_Oord__class_Oless @t2 @t207 @t1)) % 3.22/3.57 (define @t386 () (not (= @t164 @t2))) % 3.22/3.57 (define @t387 () (tptp.c_HOL_Oord__class_Oless @t2 @t14 @t1)) % 3.22/3.57 (define @t388 () (not @t387)) % 3.22/3.57 (define @t389 () (tptp.c_Power_Opower__class_Opower @t3 @t8 @t1)) % 3.22/3.57 (define @t390 () (= (tptp.c_Power_Opower__class_Opower @t2 @t9 @t1) @t2)) % 3.22/3.57 (define @t391 () (tptp.c_lessequals @t38 @t2 @t1)) % 3.22/3.57 (define @t392 () (not @t391)) % 3.22/3.57 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t38 @t2 @t1)) % 3.22/3.57 (define @t394 () (tptp.c_lessequals @t11 @t53 tptp.tc_nat)) % 3.22/3.57 (define @t395 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t14 @t1))) % 3.22/3.57 (define @t396 () (tptp.c_lessequals @t73 @t2 @t1)) % 3.22/3.57 (define @t397 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t54 @t1))) % 3.22/3.57 (define @t398 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t156 @t1)) % 3.22/3.57 (define @t399 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t398 @t1)) % 3.22/3.57 (define @t400 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t156 @t1)) % 3.22/3.57 (define @t401 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t156 tptp.tc_nat)) % 3.22/3.57 (define @t402 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t371 @t1)) % 3.22/3.57 (define @t403 () (tptp.c_HOL_Oplus__class_Oplus @t115 @t14 @t1)) % 3.22/3.57 (define @t404 () (= @t403 @t402)) % 3.22/3.57 (define @t405 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t85 @t1)) % 3.22/3.57 (define @t406 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t405 @t1)) % 3.22/3.57 (define @t407 () (@list @t1 @t3 @t14 @t85)) % 3.22/3.57 (define @t408 () (tptp.c_HOL_Oord__class_Oless @t8 @t12 tptp.tc_nat)) % 3.22/3.57 (define @t409 () (tptp.c_HOL_Oord__class_Oless @t8 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t410 () (tptp.c_Power_Opower__class_Opower @t3 @t11 @t1)) % 3.22/3.57 (define @t411 () (@list @t1 @t3 @t11 @t9)) % 3.22/3.57 (define @t412 () (@var "V_u" $$unsorted)) % 3.22/3.57 (define @t413 () (not (tptp.c_lessequals @t368 @t9 tptp.tc_nat))) % 3.22/3.57 (define @t414 () (tptp.c_lessequals @t50 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t415 () (tptp.c_lessequals @t5 @t250 tptp.tc_nat)) % 3.22/3.57 (define @t416 () (not @t360)) % 3.22/3.57 (define @t417 () (tptp.c_HOL_Oord__class_Oless @t2 @t164 @t1)) % 3.22/3.57 (define @t418 () (not @t417)) % 3.22/3.57 (define @t419 () (not (tptp.class_Orderings_Olinorder @t1))) % 3.22/3.57 (define @t420 () (tptp.c_HOL_Oord__class_Oless @t5 @t5 @t1)) % 3.22/3.57 (define @t421 () (not @t420)) % 3.22/3.57 (define @t422 () (tptp.c_lessequals @t5 @t5 @t1)) % 3.22/3.57 (define @t423 () (@list @t1 @t62 @t5)) % 3.22/3.57 (define @t424 () (tptp.c_HOL_Oord__class_Oless @t62 @t5 @t1)) % 3.22/3.57 (define @t425 () (not @t424)) % 3.22/3.57 (define @t426 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t37 @t15 @t1) @t14 @t1)) % 3.22/3.57 (define @t427 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t36 @t1) @t14 @t1)) % 3.22/3.57 (define @t428 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t83 tptp.tc_nat)) % 3.22/3.57 (define @t429 () (@list @t1 @t3 @t9 @t237)) % 3.22/3.57 (define @t430 () (tptp.c_HOL_Ominus__class_Ominus @t218 @t11 tptp.tc_nat)) % 3.22/3.57 (define @t431 () (tptp.c_HOL_Ominus__class_Ominus @t218 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t432 () (@list @t218 @t9 @t11)) % 3.22/3.57 (define @t433 () (not (tptp.c_lessequals @t50 @t11 tptp.tc_nat))) % 3.22/3.57 (define @t434 () (not @t414)) % 3.22/3.57 (define @t435 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t436 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t50 tptp.tc_nat)) % 3.22/3.57 (define @t437 () (tptp.c_lessequals @t436 @t435 tptp.tc_nat)) % 3.22/3.57 (define @t438 () (@list @t11 @t50 @t9)) % 3.22/3.57 (define @t439 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t143 @t144 tptp.tc_nat) @t50 tptp.tc_nat)) % 3.22/3.57 (define @t440 () (@list @t1 @t3 @t9 @t15)) % 3.22/3.57 (define @t441 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 3.22/3.57 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t14 @t2 @t1)) % 3.22/3.57 (define @t443 () (not @t442)) % 3.22/3.57 (define @t444 () (tptp.c_lessequals @t25 @t24 @t1)) % 3.22/3.57 (define @t445 () (not @t444)) % 3.22/3.57 (define @t446 () (tptp.c_lessequals @t17 @t16 @t1)) % 3.22/3.57 (define @t447 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t62 @t1)) % 3.22/3.57 (define @t448 () (not (= @t99 @t2))) % 3.22/3.57 (define @t449 () (not (tptp.c_lessequals @t154 @t2 @t1))) % 3.22/3.57 (define @t450 () (tptp.c_lessequals @t164 @t2 @t1)) % 3.22/3.57 (define @t451 () (tptp.c_HOL_Oinverse__class_Oinverse @t38 @t1)) % 3.22/3.57 (define @t452 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 3.22/3.57 (define @t453 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 3.22/3.57 (define @t454 () (tptp.c_HOL_Oord__class_Oless @t167 @t9 tptp.tc_nat)) % 3.22/3.57 (define @t455 () (not (tptp.c_lessequals @t14 @t2 @t1))) % 3.22/3.57 (define @t456 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 3.22/3.57 (define @t457 () (@var "V_r" $$unsorted)) % 3.22/3.57 (define @t458 () (not (= @t154 @t2))) % 3.22/3.57 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t225 @t371 @t1)) % 3.22/3.57 (define @t460 () (tptp.c_HOL_Oord__class_Oless @t224 @t373 @t1)) % 3.22/3.57 (define @t461 () (tptp.c_HOL_Oord__class_Oless @t289 @t220 tptp.tc_nat)) % 3.22/3.57 (define @t462 () (not (tptp.c_lessequals @t156 @t62 @t1))) % 3.22/3.57 (define @t463 () (@list @t1 @t156 @t5 @t62)) % 3.22/3.57 (define @t464 () (tptp.c_HOL_Oord__class_Oless @t156 @t5 @t1)) % 3.22/3.57 (define @t465 () (not (tptp.c_HOL_Oord__class_Oless @t156 @t62 @t1))) % 3.22/3.57 (define @t466 () (not (tptp.c_lessequals @t62 @t156 @t1))) % 3.22/3.57 (define @t467 () (@list @t1 @t5 @t156 @t62)) % 3.22/3.57 (define @t468 () (not (tptp.c_HOL_Oord__class_Oless @t62 @t156 @t1))) % 3.22/3.57 (define @t469 () (tptp.c_HOL_Oord__class_Oless @t5 @t156 @t1)) % 3.22/3.57 (define @t470 () (not (= @t164 @t212))) % 3.22/3.57 (define @t471 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t2 @t1) @t2)) % 3.22/3.57 (define @t472 () (@var "V_x_H" $$unsorted)) % 3.22/3.57 (define @t473 () (@var "V_y_H" $$unsorted)) % 3.22/3.57 (define @t474 () (tptp.c_lessequals @t473 @t472 @t1)) % 3.22/3.57 (define @t475 () (tptp.c_HOL_Ominus__class_Ominus @t472 @t473 @t1)) % 3.22/3.57 (define @t476 () (not (= @t447 @t475))) % 3.22/3.57 (define @t477 () (@list @t1 @t5 @t62 @t472 @t473)) % 3.22/3.57 (define @t478 () (@list @t9 @t143)) % 3.22/3.57 (define @t479 () (not (= @t12 @t83))) % 3.22/3.57 (define @t480 () (tptp.c_lessequals @t2 @t38 @t1)) % 3.22/3.57 (define @t481 () (tptp.c_lessequals @t53 @t167 tptp.tc_nat)) % 3.22/3.57 (define @t482 () (tptp.c_HOL_Otimes__class_Otimes @t198 @t194 @t1)) % 3.22/3.57 (define @t483 () (@list @t1 @t195 @t193 @t194)) % 3.22/3.57 (define @t484 () (tptp.c_HOL_Otimes__class_Otimes @t195 @t197 @t1)) % 3.22/3.57 (define @t485 () (@list @t1 @t195 @t194 @t192)) % 3.22/3.57 (define @t486 () (= (tptp.c_HOL_Otimes__class_Otimes @t115 @t14 @t1) (tptp.c_HOL_Oplus__class_Oplus @t17 @t16 @t1))) % 3.22/3.57 (define @t487 () (= @t15 @t14)) % 3.22/3.57 (define @t488 () (not (= @t115 @t225))) % 3.22/3.57 (define @t489 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 3.22/3.57 (define @t490 () (tptp.c_HOL_Oord__class_Oless @t54 @t5 @t1)) % 3.22/3.57 (define @t491 () (not (tptp.c_lessequals @t62 @t54 @t1))) % 3.22/3.57 (define @t492 () (tptp.c_Suc @t50)) % 3.22/3.57 (define @t493 () (tptp.c_HOL_Oord__class_Oless @t2 @t154 @t1)) % 3.22/3.57 (define @t494 () (tptp.c_HOL_Oplus__class_Oplus @t164 @t212 @t1)) % 3.22/3.57 (define @t495 () (tptp.c_Lambda_OdB_OApp @t229 @t51)) % 3.22/3.57 (define @t496 () (tptp.c_Lambda_OdB_OVar @t5)) % 3.22/3.57 (define @t497 () (tptp.c_HOL_Oord__class_Oless @t5 @t5 tptp.tc_nat)) % 3.22/3.57 (define @t498 () (@list @t5 @t229)) % 3.22/3.57 (define @t499 () (not @t329)) % 3.22/3.57 (define @t500 () (tptp.c_lessequals @t17 @t162 @t1)) % 3.22/3.57 (define @t501 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 3.22/3.57 (define @t502 () (= (tptp.c_HOL_Otimes__class_Otimes @t164 @t3 @t1) @t54)) % 3.22/3.57 (define @t503 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1) @t3)) % 3.22/3.57 (define @t504 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1) @t3)) % 3.22/3.57 (define @t505 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 3.22/3.57 (define @t506 () (not @t480)) % 3.22/3.57 (define @t507 () (tptp.c_Lambda_OdB_OApp @t51 @t412)) % 3.22/3.57 (define @t508 () (@list @t51 @t412 @t229 @t50)) % 3.22/3.57 (define @t509 () (@list @t1 @t11 @t9 @t3)) % 3.22/3.57 (define @t510 () (not (tptp.c_HOL_Oord__class_Oless @t54 @t15 @t1))) % 3.22/3.57 (define @t511 () (tptp.c_Power_Opower__class_Opower @t15 @t62 @t1)) % 3.22/3.57 (define @t512 () (tptp.c_Power_Opower__class_Opower @t15 @t5 @t1)) % 3.22/3.57 (define @t513 () (tptp.c_lessequals @t512 @t511 @t1)) % 3.22/3.57 (define @t514 () (@list @t1 @t5 @t62 @t15)) % 3.22/3.57 (define @t515 () (@list @t1 @t15 @t5 @t62)) % 3.22/3.57 (define @t516 () (tptp.c_HOL_Oord__class_Oless @t167 @t53 tptp.tc_nat)) % 3.22/3.57 (define @t517 () (not @t409)) % 3.22/3.57 (define @t518 () (tptp.c_HOL_Oord__class_Oless @t2 @t73 @t1)) % 3.22/3.57 (define @t519 () (tptp.c_Lambda_OdB_OAbs @t457)) % 3.22/3.57 (define @t520 () (not (tptp.c_Lambda_Obeta @t519 @t229))) % 3.22/3.57 (define @t521 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t457 @t229)) % 3.22/3.57 (define @t522 () (tptp.c_Lambda_Olift @t51 @t50)) % 3.22/3.57 (define @t523 () (tptp.c_Lambda_Olift @t51 @t143)) % 3.22/3.57 (define @t524 () (tptp.c_HOL_Oplus__class_Oplus @t143 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t525 () (tptp.c_Lambda_Olift @t229 @t143)) % 3.22/3.57 (define @t526 () (tptp.c_Lambda_Olift (tptp.c_Lambda_Osubst @t51 @t229 @t144) @t143)) % 3.22/3.57 (define @t527 () (@list @t51 @t229 @t144 @t143)) % 3.22/3.57 (define @t528 () (not (tptp.c_Lambda_Obeta @t457 @t229))) % 3.22/3.57 (define @t529 () (not @t248)) % 3.22/3.57 (define @t530 () (tptp.c_Lambda_Olift @t343 @t50)) % 3.22/3.57 (define @t531 () (tptp.c_HOL_Oord__class_Oless @t50 @t143 tptp.tc_nat)) % 3.22/3.57 (define @t532 () (not @t531)) % 3.22/3.57 (define @t533 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t143 @t84 tptp.tc_nat))) % 3.22/3.57 (define @t534 () (tptp.c_Lambda_Osubstn @t343 @t229 @t50)) % 3.22/3.57 (define @t535 () (@list @t143 @t229 @t50)) % 3.22/3.57 (define @t536 () (not (tptp.c_Lambda_Obeta @t229 @t51))) % 3.22/3.57 (define @t537 () (tptp.c_HOL_Oplus__class_Oplus @t144 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t538 () (not (tptp.c_HOL_Oord__class_Oless @t143 @t537 tptp.tc_nat))) % 3.22/3.57 (define @t539 () (@var "V_v" $$unsorted)) % 3.22/3.57 (define @t540 () (@var "V_xa" $$unsorted)) % 3.22/3.57 (define @t541 () (not (tptp.c_HOL_Oord__class_Oless @t9 @t237 tptp.tc_nat))) % 3.22/3.57 (define @t542 () (= @t143 @t50)) % 3.22/3.57 (define @t543 () (@list @t229 @t51)) % 3.22/3.57 (define @t544 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t9 @t84 tptp.tc_nat))) % 3.22/3.57 (define @t545 () (@var "V_dB2_H" $$unsorted)) % 3.22/3.57 (define @t546 () (@var "V_dB2" $$unsorted)) % 3.22/3.57 (define @t547 () (@var "V_dB1_H" $$unsorted)) % 3.22/3.57 (define @t548 () (tptp.c_Lambda_OdB_OApp @t547 @t545)) % 3.22/3.57 (define @t549 () (@var "V_dB1" $$unsorted)) % 3.22/3.57 (define @t550 () (tptp.c_Lambda_OdB_OApp @t549 @t546)) % 3.22/3.57 (define @t551 () (not (= @t550 @t548))) % 3.22/3.57 (define @t552 () (@list @t549 @t546 @t547 @t545)) % 3.22/3.57 (define @t553 () (tptp.c_HOL_Ominus__class_Ominus @t144 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t554 () (tptp.c_HOL_Oord__class_Oless @t99 @t2 @t1)) % 3.22/3.57 (define @t555 () (tptp.c_HOL_Oord__class_Oless @t208 @t207 @t1)) % 3.22/3.57 (define @t556 () (tptp.c_HOL_Oord__class_Oless @t436 @t435 tptp.tc_nat)) % 3.22/3.57 (define @t557 () (tptp.c_HOL_Oord__class_Oless @t512 @t511 @t1)) % 3.22/3.57 (define @t558 () (tptp.c_HOL_Oord__class_Oless @t143 @t145 tptp.tc_nat)) % 3.22/3.57 (define @t559 () (tptp.c_HOL_Oord__class_Oless @t147 @t144 tptp.tc_nat)) % 3.22/3.57 (define @t560 () (tptp.c_HOL_Oord__class_Oless @t8 @t351 tptp.tc_nat)) % 3.22/3.57 (define @t561 () (tptp.c_HOL_Oord__class_Oless @t472 @t473 @t1)) % 3.22/3.57 (define @t562 () (tptp.c_Lambda_OdB_OVar @t79)) % 3.22/3.57 (define @t563 () (@var "V_dB_H" $$unsorted)) % 3.22/3.57 (define @t564 () (tptp.c_Lambda_OdB_OAbs @t563)) % 3.22/3.57 (define @t565 () (tptp.c_Lambda_OdB_OVar @t144)) % 3.22/3.57 (define @t566 () (tptp.c_Lambda_Osubst @t565 @t412 @t143)) % 3.22/3.57 (define @t567 () (@list @t144 @t412 @t143)) % 3.22/3.57 (define @t568 () (tptp.c_Lambda_Osubst @t343 @t229 @t50)) % 3.22/3.57 (define @t569 () (@var "V_dB" $$unsorted)) % 3.22/3.57 (define @t570 () (tptp.c_Lambda_OdB_OVar tptp.v_ia)) % 3.22/3.57 (define @t571 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja @t84 tptp.tc_nat)) % 3.22/3.57 (define @t572 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_ia @t84 tptp.tc_nat)) % 3.22/3.57 (define @t573 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_ja @t8 tptp.tc_nat)) % 3.22/3.57 (define @t574 () (tptp.c_HOL_Oplus__class_Oplus @t573 @t84 tptp.tc_nat)) % 3.22/3.57 (define @t575 () (tptp.c_HOL_Oord__class_Oless tptp.v_ia @t8 tptp.tc_nat)) % 3.22/3.57 (define @t576 () (tptp.c_Lambda_Olift @t570 @t8)) % 3.22/3.57 (define @t577 () (= @t576 (tptp.c_Lambda_OdB_OVar @t572))) % 3.22/3.57 (define @t578 () (or @t577 @t575)) % 3.22/3.57 (define @t579 () (@list true false)) % 3.22/3.57 (define @t580 () (tptp.c_Lambda_Osubst tptp.v_ra @t576 @t571)) % 3.22/3.57 (define @t581 () (tptp.c_InductTermi_OIT @t580)) % 3.22/3.57 (define @t582 () (tptp.c_InductTermi_OIT (tptp.c_Lambda_OdB_OAbs @t580))) % 3.22/3.57 (define @t583 () (not @t581)) % 3.22/3.57 (define @t584 () (or @t582 @t583)) % 3.22/3.57 (assume @p1 (forall (@list @t1 @t5 @t3) (or @t7 @t6 (not (= @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t3 @t1))) @t4))) % 3.22/3.57 (assume @p2 (forall @t13 (or (not (= @t12 @t11)) @t10))) % 3.22/3.57 (assume @p3 (forall (@list @t5 @t3) (or (not (= @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t3 tptp.tc_nat))) (= @t3 @t8)))) % 3.22/3.57 (assume @p4 (forall @t23 (or @t22 @t21 @t20 @t19))) % 3.22/3.57 (assume @p5 (forall @t23 (or @t22 @t21 @t20 @t27))) % 3.22/3.57 (assume @p6 (forall @t23 (or @t28 @t21 @t20 @t19))) % 3.22/3.57 (assume @p7 (forall @t23 (or @t28 @t21 @t20 @t27))) % 3.22/3.57 (assume @p8 (forall @t32 (or @t31 @t30))) % 3.22/3.57 (assume @p9 (forall @t32 (or @t33 @t30))) % 3.22/3.57 (assume @p10 (forall @t34 (or @t33 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t2 @t1) @t3)))) % 3.22/3.57 (assume @p11 (forall @t34 (or @t33 (= (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t1) @t2)))) % 3.22/3.57 (assume @p12 (forall @t32 (or @t7 @t6 @t30))) % 3.22/3.57 (assume @p13 (forall @t35 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t11 tptp.tc_nat) @t8))) % 3.22/3.57 (assume @p14 (forall @t35 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t8 tptp.tc_nat) @t11))) % 3.22/3.57 (assume @p15 (forall @t23 (or @t40 (= @t39 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t37 @t36 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p16 (forall @t45 (or @t44 (= @t43 @t42)))) % 3.22/3.57 (assume @p17 (forall (@list @t1 @t5 @t47 @t46) (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t5 @t47 @t1) @t48 @t1) (tptp.c_Power_Opower__class_Opower @t5 (tptp.c_HOL_Oplus__class_Oplus @t47 @t46 tptp.tc_nat) @t1))))) % 3.22/3.57 (assume @p18 (forall (@list @t9 @t51 @t50) (= (tptp.c_Lambda_Oliftn @t53 @t51 @t50) (tptp.c_Lambda_Olift @t52 @t50)))) % 3.22/3.57 (assume @p19 (forall @t32 (or @t59 @t58 @t57 (not @t55)))) % 3.22/3.57 (assume @p20 (forall @t61 (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t11 @t1) (tptp.c_HOL_Otimes__class_Otimes @t60 @t11 @t1))))) % 3.22/3.57 (assume @p21 (forall @t69 (or @t68 @t67 @t65 @t64 @t63))) % 3.22/3.57 (assume @p22 (forall @t69 (or @t68 @t67 @t65 @t64 @t70))) % 3.22/3.57 (assume @p23 (forall @t13 (or @t72 @t71))) % 3.22/3.57 (assume @p24 (forall @t13 (or @t72 @t10))) % 3.22/3.57 (assume @p25 (forall @t34 (or @t74 (not (= @t73 @t2)) @t4))) % 3.22/3.57 (assume @p26 (forall @t77 (or (not (= @t76 (tptp.c_Suc @t62))) @t75))) % 3.22/3.57 (assume @p27 (forall @t82 (or (not (= (tptp.c_Suc @t79) @t81)) @t80))) % 3.22/3.57 (assume @p28 (= @t84 @t83)) % 3.22/3.57 (assume @p29 (forall @t96 (or @t95 @t94 (not @t89)))) % 3.22/3.57 (assume @p30 (forall @t98 (or @t95 @t89 @t97))) % 3.22/3.57 (assume @p31 (forall @t96 (or @t95 @t94 (not @t101)))) % 3.22/3.57 (assume @p32 (forall @t102 (or @t95 @t101 @t97))) % 3.22/3.57 (assume @p33 (forall @t13 (or @t107 @t104))) % 3.22/3.57 (assume @p34 (forall @t32 (or @t49 (= (tptp.c_Power_Opower__class_Opower @t5 @t84 @t1) @t5)))) % 3.22/3.57 (assume @p35 (forall @t34 (or @t44 (= (tptp.c_Power_Opower__class_Opower @t3 @t84 @t1) @t3)))) % 3.22/3.57 (assume @p36 (forall @t111 (or @t110 @t109 @t108 @t4))) % 3.22/3.57 (assume @p37 (forall @t111 (or @t112 @t109 @t108 @t4))) % 3.22/3.57 (assume @p38 (forall @t111 (or @t112 @t109 @t4 @t108))) % 3.22/3.57 (assume @p39 (forall @t119 (or @t40 @t118 @t117 (= @t116 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t114 @t113 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p40 (tptp.c_HOL_Oord__class_Oless @t8 @t83 tptp.tc_nat)) % 3.22/3.57 (assume @p41 (forall @t34 (or @t74 @t122 @t121))) % 3.22/3.57 (assume @p42 (forall @t34 (or @t74 @t120 @t123))) % 3.22/3.57 (assume @p43 (forall @t34 (or @t124 @t120 @t123))) % 3.22/3.57 (assume @p44 (forall @t34 (or @t124 @t122 @t121))) % 3.22/3.57 (assume @p45 (forall @t13 (or @t127 @t126 @t125))) % 3.22/3.57 (assume @p46 (forall @t13 (or @t127 @t71 @t10))) % 3.22/3.57 (assume @p47 (forall @t132 (or @t22 @t131 @t130 (not (tptp.c_HOL_Oord__class_Oless @t2 @t128 @t1))))) % 3.22/3.57 (assume @p48 (forall @t132 (or @t22 @t131 @t130 (not @t133)))) % 3.22/3.57 (assume @p49 (forall @t111 (or @t22 @t133 @t134 @t130))) % 3.22/3.57 (assume @p50 (forall @t111 (or @t136 @t133 @t135 @t121))) % 3.22/3.57 (assume @p51 (forall @t142 (or @t141 @t21 @t140 (not @t138)))) % 3.22/3.57 (assume @p52 (forall @t149 (or @t148 (not @t146)))) % 3.22/3.57 (assume @p53 (forall @t150 (or @t146 (not @t148)))) % 3.22/3.57 (assume @p54 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t2 @t41 @t1) @t130))) % 3.22/3.57 (assume @p55 (forall @t152 (or @t151 (not (= @t54 @t2))))) % 3.22/3.57 (assume @p56 (forall @t69 (or @t136 (not (tptp.c_HOL_Oord__class_Oless @t154 @t2 @t1))))) % 3.22/3.57 (assume @p57 (forall (@list @t1 @t155 @t62 @t5 @t156) (or @t7 @t6 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t155 @t62 @t1) @t159 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t155 @t156 @t1) @t158 @t1))) @t157 (= @t155 @t5)))) % 3.22/3.57 (assume @p58 (forall @t163 (or @t7 @t6 (not (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t162 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t85 @t1) @t16 @t1))) @t161 @t160))) % 3.22/3.57 (assume @p59 (forall @t45 (or @t166 @t165 @t4))) % 3.22/3.57 (assume @p60 (forall @t13 (= (tptp.c_HOL_Ominus__class_Ominus @t167 @t53 tptp.tc_nat) @t105))) % 3.22/3.57 (assume @p61 (forall @t111 (or @t68 @t170 @t135 @t169))) % 3.22/3.57 (assume @p62 (forall @t111 (or @t68 @t170 @t172 @t121))) % 3.22/3.57 (assume @p63 (forall @t13 (or @t176 @t175 @t174))) % 3.22/3.57 (assume @p64 (forall @t13 (or @t176 @t179 @t177))) % 3.22/3.57 (assume @p65 (forall @t181 (or @t180 @t179 @t177))) % 3.22/3.57 (assume @p66 (forall @t152 (or @t136 (tptp.c_lessequals @t183 @t2 @t1)))) % 3.22/3.57 (assume @p67 (forall @t119 (or @t40 @t118 @t117 (= @t39 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t114 @t113 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p68 (forall @t188 (or (= @t187 @t185) @t184))) % 3.22/3.57 (assume @p69 (forall @t149 (or (= @t191 @t189) @t184))) % 3.22/3.57 (assume @p70 (forall @t200 (or @t49 (= @t199 (tptp.c_HOL_Otimes__class_Otimes @t196 (tptp.c_HOL_Otimes__class_Otimes @t193 @t192 @t1) @t1))))) % 3.22/3.57 (assume @p71 (forall @t200 (or @t49 (= @t199 (tptp.c_HOL_Otimes__class_Otimes @t195 (tptp.c_HOL_Otimes__class_Otimes @t193 @t197 @t1) @t1))))) % 3.22/3.57 (assume @p72 (forall @t200 (or @t49 (= @t199 (tptp.c_HOL_Otimes__class_Otimes @t194 (tptp.c_HOL_Otimes__class_Otimes @t198 @t192 @t1) @t1))))) % 3.22/3.57 (assume @p73 (forall @t152 (or @t141 (tptp.c_lessequals @t2 @t54 @t1)))) % 3.22/3.57 (assume @p74 (forall @t34 (or @t49 @t201))) % 3.22/3.57 (assume @p75 (forall @t34 (or @t49 @t202))) % 3.22/3.57 (assume @p76 (forall @t34 (or @t110 @t202))) % 3.22/3.57 (assume @p77 (forall (@list @t1 @t15) (or @t110 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t15 @t1) @t2)))) % 3.22/3.57 (assume @p78 (forall @t34 (or @t203 @t202))) % 3.22/3.57 (assume @p79 (forall @t34 (or @t203 @t201))) % 3.22/3.57 (assume @p80 (forall @t32 (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t5 @t1) @t2)))) % 3.22/3.57 (assume @p81 (forall (@list @t1 @t3 @t11) (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t206 @t11 @t1) @t205)))) % 3.22/3.57 (assume @p82 (forall @t209 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t208 @t207)) @t176))) % 3.22/3.57 (assume @p83 (forall @t132 (or @t59 @t213 @t130 @t211))) % 3.22/3.57 (assume @p84 (forall @t132 (or @t59 @t215 @t130 @t214))) % 3.22/3.57 (assume @p85 (forall @t132 (or @t59 @t215 @t135 @t214))) % 3.22/3.57 (assume @p86 (forall @t132 (or @t59 @t213 @t135 @t211))) % 3.22/3.57 (assume @p87 (forall @t13 (or (tptp.c_lessequals @t106 @t9 tptp.tc_nat) @t217))) % 3.22/3.57 (assume @p88 (forall @t69 (or @t49 (= @t66 (tptp.c_HOL_Oplus__class_Oplus @t62 @t5 @t1))))) % 3.22/3.57 (assume @p89 (forall (@list @t11 @t218 @t50 @t9) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t218 tptp.tc_nat) @t220)) @t219 @t175))) % 3.22/3.57 (assume @p90 (forall @t13 (= @t12 @t221))) % 3.22/3.57 (assume @p91 (forall @t111 (or @t223 (= @t115 @t222)))) % 3.22/3.57 (assume @p92 (forall (@list @t1 @t3 @t14) (or @t49 (= @t225 @t224)))) % 3.22/3.57 (assume @p93 (forall @t32 (or @t59 @t58 @t57 @t227))) % 3.22/3.57 (assume @p94 (forall @t34 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t3 @t1) @t2)))) % 3.22/3.57 (assume @p95 (forall @t34 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t2 @t1) @t3)))) % 3.22/3.57 (assume @p96 (forall @t69 (or @t136 (tptp.c_lessequals @t2 @t154 @t1)))) % 3.22/3.57 (assume @p97 (forall @t231 (= (tptp.c_Lambda_Osubstn @t230 @t229 @t50) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t51 @t229 @t228))))) % 3.22/3.57 (assume @p98 (forall @t13 (or (= @t232 (tptp.c_Suc @t105)) @t104))) % 3.22/3.57 (assume @p99 (forall @t102 (or @t95 @t235 @t234))) % 3.22/3.57 (assume @p100 (forall @t96 (or @t95 @t233 (not @t235)))) % 3.22/3.57 (assume @p101 (forall @t98 (or @t95 @t236 @t234))) % 3.22/3.57 (assume @p102 (forall @t96 (or @t95 @t233 (not @t236)))) % 3.22/3.57 (assume @p103 (forall @t242 (or @t141 (tptp.c_lessequals @t241 @t41 @t1) (not (tptp.c_lessequals @t3 @t54 @t1)) @t240 @t238))) % 3.22/3.57 (assume @p104 (forall @t245 (or (tptp.c_HOL_Oord__class_Oless @t143 @t244 tptp.tc_nat) @t243))) % 3.22/3.57 (assume @p105 (forall @t247 (or (tptp.c_HOL_Oord__class_Oless @t143 @t246 tptp.tc_nat) @t243))) % 3.22/3.57 (assume @p106 (forall @t249 (or @t248 (not (tptp.c_HOL_Oord__class_Oless @t186 @t50 tptp.tc_nat))))) % 3.22/3.57 (assume @p107 (forall @t252 (or @t251 (not (tptp.c_HOL_Oord__class_Oless @t5 @t156 tptp.tc_nat))))) % 3.22/3.57 (assume @p108 (forall @t252 (or @t251 @t254))) % 3.22/3.57 (assume @p109 (forall @t181 (or @t177 @t256))) % 3.22/3.57 (assume @p110 (forall @t181 (or @t255 (not @t177)))) % 3.22/3.57 (assume @p111 (forall @t13 (or @t175 @t258))) % 3.22/3.57 (assume @p112 (forall @t13 (or @t257 @t259))) % 3.22/3.57 (assume @p113 (forall @t263 (or @t262 @t223 @t261 @t260 @t20))) % 3.22/3.57 (assume @p114 (forall @t263 (or @t262 @t223 @t261 @t264 @t240))) % 3.22/3.57 (assume @p115 (forall @t188 (or @t266 (not @t265) @t184))) % 3.22/3.57 (assume @p116 (forall @t249 (or @t265 (not @t266) @t184))) % 3.22/3.57 (assume @p117 (forall @t268 (tptp.c_HOL_Oord__class_Oless @t11 (tptp.c_Suc @t267) tptp.tc_nat))) % 3.22/3.57 (assume @p118 (forall @t269 (tptp.c_HOL_Oord__class_Oless @t143 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t11 @t143 tptp.tc_nat)) tptp.tc_nat))) % 3.22/3.57 (assume @p119 (forall @t269 (tptp.c_HOL_Oord__class_Oless @t143 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t143 @t11 tptp.tc_nat)) tptp.tc_nat))) % 3.22/3.57 (assume @p120 (forall @t96 (or @t271 @t270 (= @t100 @t85)))) % 3.22/3.57 (assume @p121 (forall @t96 (or @t271 @t270 (= @t14 @t88)))) % 3.22/3.57 (assume @p122 (forall (@list @t1 @t3 @t86 @t15 @t85) (or @t271 (= (tptp.c_HOL_Oplus__class_Oplus @t92 @t88 @t1) @t91)))) % 3.22/3.57 (assume @p123 (forall @t35 (not (= @t8 @t167)))) % 3.22/3.57 (assume @p124 (forall @t272 (not (= @t8 @t81)))) % 3.22/3.57 (assume @p125 (forall @t13 (= @t274 @t273))) % 3.22/3.57 (assume @p126 (forall @t13 (= @t275 @t273))) % 3.22/3.57 (assume @p127 (forall @t278 (or @t277 @t276 (= (tptp.c_Power_Opower__class_Opower @t2 @t53 @t1) @t2)))) % 3.22/3.57 (assume @p128 (forall @t45 (or @t141 (tptp.c_lessequals @t54 @t41 @t1) @t279))) % 3.22/3.57 (assume @p129 (forall @t163 (or @t22 @t282 @t20 @t134 @t281 @t280))) % 3.22/3.57 (assume @p130 (forall @t284 (or @t40 (= @t283 @t39)))) % 3.22/3.57 (assume @p131 (forall (@list @t1 @t3 @t86 @t14 @t15) (or @t271 (= @t93 (tptp.c_HOL_Oplus__class_Oplus @t90 @t100 @t1))))) % 3.22/3.57 (assume @p132 (forall @t45 (or @t141 (tptp.c_lessequals @t2 @t41 @t1) @t240))) % 3.22/3.57 (assume @p133 (forall @t13 (or @t287 @t286))) % 3.22/3.57 (assume @p134 (forall @t13 (or @t288 @t285))) % 3.22/3.57 (assume @p135 (forall (@list @t144 @t50 @t11) (or (= (tptp.c_HOL_Ominus__class_Ominus @t291 @t11 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t290 @t289 tptp.tc_nat)) @t184))) % 3.22/3.57 (assume @p136 (forall @t32 (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes @t54 @t5 @t1) @t5)))) % 3.22/3.57 (assume @p137 (forall @t34 (or @t293 @t292))) % 3.22/3.57 (assume @p138 (forall @t34 (or @t44 @t292))) % 3.22/3.57 (assume @p139 (forall @t34 (or @t44 @t294))) % 3.22/3.57 (assume @p140 (forall @t34 (or @t49 @t294))) % 3.22/3.57 (assume @p141 (forall @t34 (or @t49 @t292))) % 3.22/3.57 (assume @p142 (forall @t263 (or @t262 @t223 @t295 @t264 @t130))) % 3.22/3.57 (assume @p143 (forall @t297 (or (tptp.c_HOL_Oord__class_Oless @t11 @t296 tptp.tc_nat) @t286 (not (tptp.c_HOL_Oord__class_Oless @t8 @t50 tptp.tc_nat))))) % 3.22/3.57 (assume @p144 (= @t298 @t83)) % 3.22/3.57 (assume @p145 (forall @t111 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t299 @t15 @t1) @t299)))) % 3.22/3.57 (assume @p146 (forall @t209 (or @t141 @t285 (not @t300)))) % 3.22/3.57 (assume @p147 (forall @t209 (or @t141 @t300 @t286))) % 3.22/3.57 (assume @p148 (forall @t301 (= @t53 (tptp.c_HOL_Oplus__class_Oplus @t84 @t9 tptp.tc_nat)))) % 3.22/3.57 (assume @p149 (forall @t301 (= @t53 (tptp.c_HOL_Oplus__class_Oplus @t9 @t84 tptp.tc_nat)))) % 3.22/3.57 (assume @p150 (forall @t34 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t2 @t3 @t1) @t2)))) % 3.22/3.57 (assume @p151 (forall @t152 (or @t277 @t276 (= (tptp.c_Power_Opower__class_Opower @t2 @t8 @t1) @t54)))) % 3.22/3.57 (assume @p152 (forall (@list @t1 @t5 @t14 @t85) (or @t7 @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t302 @t303 @t1) (tptp.c_HOL_Oplus__class_Oplus @t303 @t302 @t1))))) % 3.22/3.57 (assume @p153 (forall @t305 (or @t7 @t6 (= @t304 (tptp.c_HOL_Oplus__class_Oplus @t159 @t158 @t1))))) % 3.22/3.57 (assume @p154 (forall @t301 (or @t10 (not (tptp.c_HOL_Oord__class_Oless @t9 @t83 tptp.tc_nat))))) % 3.22/3.57 (assume @p155 (forall @t34 (or @t74 @t239 (not @t306)))) % 3.22/3.57 (assume @p156 (forall @t34 (or @t74 @t306 @t240))) % 3.22/3.57 (assume @p157 (forall @t111 (or @t33 (= (tptp.c_HOL_Oplus__class_Oplus @t99 @t15 @t1) @t3)))) % 3.22/3.57 (assume @p158 (forall @t13 (or (= @t309 @t307) @t308))) % 3.22/3.57 (assume @p159 (forall @t34 (or @t59 @t58 @t239 (not @t310)))) % 3.22/3.57 (assume @p160 (forall @t34 (or @t59 @t58 @t310 @t240))) % 3.22/3.57 (assume @p161 (forall @t34 (or @t166 @t58 @t311))) % 3.22/3.57 (assume @p162 (forall (@list @t51 @t229 @t9) (= (tptp.c_Lambda_Osubstn @t51 @t229 @t9) (tptp.c_Lambda_Osubst @t51 (tptp.c_Lambda_Oliftn @t9 @t229 @t8) @t9)))) % 3.22/3.57 (assume @p163 (forall @t45 (or @t44 (= @t312 @t43)))) % 3.22/3.57 (assume @p164 (forall @t45 (or @t276 (= @t312 @t42)))) % 3.22/3.57 (assume @p165 (forall (@list @t1 @t5 @t9) (or @t49 (= (tptp.c_Power_Opower__class_Opower @t5 @t53 @t1) (tptp.c_HOL_Otimes__class_Otimes @t5 (tptp.c_Power_Opower__class_Opower @t5 @t9 @t1) @t1))))) % 3.22/3.57 (assume @p166 (forall @t315 (or @t49 (= @t314 @t313)))) % 3.22/3.57 (assume @p167 (forall @t318 (or (tptp.c_lessequals @t147 @t317 tptp.tc_nat) (not (tptp.c_lessequals @t50 @t218 tptp.tc_nat)) @t316))) % 3.22/3.57 (assume @p168 (forall @t163 (or @t321 (tptp.c_lessequals @t225 @t320 @t1) @t319 @t211))) % 3.22/3.57 (assume @p169 (forall @t13 (or @t173 @t286))) % 3.22/3.57 (assume @p170 (forall @t13 (or @t285 @t174))) % 3.22/3.57 (assume @p171 (forall @t324 (or (not @t323) @t322))) % 3.22/3.57 (assume @p172 (forall @t69 (or @t49 (= @t158 @t325)))) % 3.22/3.57 (assume @p173 (forall @t152 (or @t74 @t326))) % 3.22/3.57 (assume @p174 (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t8 tptp.tc_nat) @t8)) % 3.22/3.57 (assume @p175 (forall @t152 (or @t68 @t327 @t327 @t326))) % 3.22/3.57 (assume @p176 (forall @t111 (or @t49 (= @t38 @t128)))) % 3.22/3.57 (assume @p177 (forall @t23 (or @t40 (= @t116 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t37 @t36 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p178 (forall @t111 (or @t68 (tptp.c_lessequals @t2 @t115 @t1) @t140 @t240))) % 3.22/3.57 (assume @p179 (forall @t132 (or @t59 @t329 @t130 @t328))) % 3.22/3.57 (assume @p180 (forall @t132 (or @t59 @t330 @t130 @t280))) % 3.22/3.57 (assume @p181 (forall @t132 (or @t59 @t329 @t135 @t328))) % 3.22/3.57 (assume @p182 (forall (@list @t1 @t11 @t3) (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t206 @t1) @t205)))) % 3.22/3.57 (assume @p183 (forall @t188 (or (= (tptp.c_HOL_Ominus__class_Ominus @t143 @t145 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t147 @t144 tptp.tc_nat)) @t184))) % 3.22/3.57 (assume @p184 (forall @t35 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t83 tptp.tc_nat) @t8))) % 3.22/3.57 (assume @p185 (forall @t32 (or @t59 @t58 @t331 @t227))) % 3.22/3.57 (assume @p186 (forall @t13 (or (= @t12 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t332 @t9 tptp.tc_nat))) @t71))) % 3.22/3.57 (assume @p187 (forall @t34 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t3 @t54 @t1) @t2)))) % 3.22/3.57 (assume @p188 (forall @t32 (or @t59 @t58 @t335 @t334))) % 3.22/3.57 (assume @p189 (forall @t13 (or (= @t106 @t11) @t259))) % 3.22/3.57 (assume @p190 (= @t83 @t298)) % 3.22/3.57 (assume @p191 (forall @t69 (or @t340 @t339 @t338 @t337))) % 3.22/3.57 (assume @p192 (forall @t342 (or (not (tptp.c_lessequals @t143 @t341 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t341 @t143 tptp.tc_nat) @t50)))) % 3.22/3.57 (assume @p193 (forall @t301 (or @t10 (not (tptp.c_lessequals @t9 @t8 tptp.tc_nat))))) % 3.22/3.57 (assume @p194 (forall @t345 (or (= @t344 (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Oplus__class_Oplus @t143 @t9 tptp.tc_nat))) @t248))) % 3.22/3.57 (assume @p195 (forall @t111 (or @t68 @t346 @t134 @t130))) % 3.22/3.57 (assume @p196 (forall @t181 (tptp.c_lessequals @t9 @t221 tptp.tc_nat))) % 3.22/3.57 (assume @p197 (forall @t181 (tptp.c_lessequals @t9 @t12 tptp.tc_nat))) % 3.22/3.57 (assume @p198 (forall @t268 (tptp.c_lessequals @t11 @t267 tptp.tc_nat))) % 3.22/3.57 (assume @p199 (forall @t152 (or @t141 (not (tptp.c_lessequals @t54 @t2 @t1))))) % 3.22/3.57 (assume @p200 (forall @t34 (or @t59 @t347 @t121))) % 3.22/3.57 (assume @p201 (forall @t34 (or @t59 @t58 @t347 @t121))) % 3.22/3.57 (assume @p202 (forall @t34 (or @t59 @t58 @t120 @t348))) % 3.22/3.57 (assume @p203 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t54 @t42 @t1) @t349))) % 3.22/3.57 (assume @p204 (forall (@list @t9 @t229 @t50) (= (tptp.c_Lambda_Oliftn @t9 @t350 @t50) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t9 @t229 @t228))))) % 3.22/3.57 (assume @p205 (forall @t13 (or @t176 @t104 @t286))) % 3.22/3.57 (assume @p206 (forall @t181 (or (not (= @t351 @t8)) @t288 @t176))) % 3.22/3.57 (assume @p207 (forall @t69 (or @t353 @t75 @t352 @t337))) % 3.22/3.57 (assume @p208 (forall @t69 (or @t353 @t75 @t337 @t352))) % 3.22/3.57 (assume @p209 (forall @t119 (or @t355 @t118 @t117 (= @t354 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t114 @t113 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p210 (forall @t111 (or @t357 @t210 (not @t356)))) % 3.22/3.57 (assume @p211 (forall @t111 (or @t357 @t356 @t211))) % 3.22/3.57 (assume @p212 (forall @t163 (or @t359 @t358 @t281 @t280))) % 3.22/3.57 (assume @p213 (forall @t318 (or (tptp.c_HOL_Oord__class_Oless @t147 @t317 tptp.tc_nat) @t219 @t243))) % 3.22/3.57 (assume @p214 (forall @t77 (or @t360 @t254))) % 3.22/3.57 (assume @p215 (forall @t13 (or @t285 @t259))) % 3.22/3.57 (assume @p216 (forall @t69 (or @t353 @t336 @t361))) % 3.22/3.57 (assume @p217 (forall @t69 (or @t340 @t336 @t361))) % 3.22/3.57 (assume @p218 (forall @t152 (or @t166 @t362))) % 3.22/3.57 (assume @p219 (forall @t152 (or @t363 @t58 @t362))) % 3.22/3.57 (assume @p220 (forall @t32 (or @t59 @t58 @t367 (not @t366) @t365))) % 3.22/3.57 (assume @p221 (forall @t272 (not (= @t81 @t8)))) % 3.22/3.57 (assume @p222 (forall @t35 (not (= @t167 @t8)))) % 3.22/3.57 (assume @p223 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t54 @t312 @t1) @t349))) % 3.22/3.57 (assume @p224 (forall (@list @t11 @t144 @t50) (or (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t291 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t368 @t290 tptp.tc_nat)) @t184))) % 3.22/3.57 (assume @p225 (forall @t301 (tptp.c_HOL_Oord__class_Oless @t9 @t53 tptp.tc_nat))) % 3.22/3.57 (assume @p226 (forall @t324 @t322)) % 3.22/3.57 (assume @p227 (forall @t249 (or (tptp.c_HOL_Oord__class_Oless @t370 @t50 tptp.tc_nat) @t369 @t243))) % 3.22/3.57 (assume @p228 (forall @t284 (or @t262 @t372 @t211))) % 3.22/3.57 (assume @p229 (forall @t23 (or @t262 @t210 (not @t372)))) % 3.22/3.57 (assume @p230 (forall @t375 (or @t262 @t374 @t211))) % 3.22/3.57 (assume @p231 (forall @t23 (or @t262 @t210 (not @t374)))) % 3.22/3.57 (assume @p232 (forall @t284 (or @t321 @t372 @t211))) % 3.22/3.57 (assume @p233 (forall @t375 (or @t321 @t374 @t211))) % 3.22/3.57 (assume @p234 (forall @t249 (or (tptp.c_lessequals @t147 @t376 tptp.tc_nat) @t316))) % 3.22/3.57 (assume @p235 (forall @t297 (or @t285 (not @t377)))) % 3.22/3.57 (assume @p236 (forall @t378 (or @t377 @t286))) % 3.22/3.57 (assume @p237 (forall @t379 (or @t316 (= @t144 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t144 @t143 tptp.tc_nat) @t143 tptp.tc_nat))))) % 3.22/3.57 (assume @p238 (forall @t181 (or @t380 @t104))) % 3.22/3.57 (assume @p239 (forall @t13 (or (= (tptp.c_HOL_Oplus__class_Oplus @t105 @t9 tptp.tc_nat) @t11) @t104))) % 3.22/3.57 (assume @p240 (forall @t188 (or (= @t185 @t187) @t184))) % 3.22/3.57 (assume @p241 (forall @t150 (or (= @t189 @t191) @t184))) % 3.22/3.57 (assume @p242 (forall @t142 (or @t141 @t210 @t140 (not (tptp.c_lessequals @t312 @t381 @t1))))) % 3.22/3.57 (assume @p243 (forall @t69 (or @t382 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t158 @t1) @t158)))) % 3.22/3.57 (assume @p244 (forall @t32 (or @t59 @t58 @t364 @t383))) % 3.22/3.57 (assume @p245 (forall @t45 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t384 @t4))) % 3.22/3.57 (assume @p246 (forall @t45 (or @t151 @t112 @t203 @t276 @t384 @t4))) % 3.22/3.57 (assume @p247 (forall @t278 (or @t141 @t385 @t217))) % 3.22/3.57 (assume @p248 (forall @t278 (or @t141 @t216 (not @t385)))) % 3.22/3.57 (assume @p249 (forall @t34 (or @t166 @t386 @t4))) % 3.22/3.57 (assume @p250 (forall @t34 (or @t166 @t58 @t386 @t4))) % 3.22/3.57 (assume @p251 (forall @t163 (or @t22 @t282 @t388 @t240 @t319 @t280))) % 3.22/3.57 (assume @p252 (forall @t163 (or @t22 @t282 @t20 @t130 @t281 @t211))) % 3.22/3.57 (assume @p253 (forall @t34 (or @t276 (= @t389 @t54)))) % 3.22/3.57 (assume @p254 (forall @t32 (or @t49 (= (tptp.c_Power_Opower__class_Opower @t5 @t8 @t1) @t54)))) % 3.22/3.57 (assume @p255 (forall @t278 (or @t277 @t276 @t390 @t10))) % 3.22/3.57 (assume @p256 (forall @t278 (or @t151 @t112 @t203 @t276 @t390 @t10))) % 3.22/3.57 (assume @p257 (forall @t301 (or @t216 @t10))) % 3.22/3.57 (assume @p258 (forall (@list @t51 @t50) (= (tptp.c_Lambda_Oliftn @t8 @t51 @t50) @t51))) % 3.22/3.57 (assume @p259 (forall @t315 (or @t49 (= @t313 @t314)))) % 3.22/3.57 (assume @p260 (forall @t315 (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes @t48 @t5 @t1) @t314)))) % 3.22/3.57 (assume @p261 (not (tptp.c_HOL_Oord__class_Oless @t8 @t8 tptp.tc_nat))) % 3.22/3.57 (assume @p262 (forall @t111 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t115 @t15 @t1) @t299)))) % 3.22/3.57 (assume @p263 (forall @t132 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t222 @t15 @t1) @t299)))) % 3.22/3.57 (assume @p264 (forall @t132 (or @t136 @t139 @t171 @t392))) % 3.22/3.57 (assume @p265 (forall @t111 (or @t136 @t168 @t171 @t392))) % 3.22/3.57 (assume @p266 (forall @t132 (or @t136 @t139 @t239 @t392))) % 3.22/3.57 (assume @p267 (forall @t111 (or @t136 @t168 @t239 @t392))) % 3.22/3.57 (assume @p268 (forall @t132 (or @t22 (tptp.c_HOL_Oord__class_Oless @t128 @t2 @t1) @t135 @t130))) % 3.22/3.57 (assume @p269 (forall @t111 (or @t22 @t393 @t135 @t130))) % 3.22/3.57 (assume @p270 (forall @t111 (or @t22 @t393 @t134 @t121))) % 3.22/3.57 (assume @p271 (forall @t13 (or @t285 @t258))) % 3.22/3.57 (assume @p272 (forall @t13 (or @t394 @t286))) % 3.22/3.57 (assume @p273 (forall @t301 (not (tptp.c_lessequals @t53 @t9 tptp.tc_nat)))) % 3.22/3.57 (assume @p274 (forall (@list @t51 @t229) (= (tptp.c_Lambda_Osubstn @t51 @t229 @t8) (tptp.c_Lambda_Osubst @t51 @t229 @t8)))) % 3.22/3.57 (assume @p275 (forall @t263 (or @t141 @t295 @t395 @t130))) % 3.22/3.57 (assume @p276 (forall @t34 (or @t74 @t396 @t169))) % 3.22/3.57 (assume @p277 (forall @t34 (or @t74 @t168 (not @t396)))) % 3.22/3.57 (assume @p278 (forall @t379 (not (tptp.c_HOL_Oord__class_Oless @t186 @t143 tptp.tc_nat)))) % 3.22/3.57 (assume @p279 (forall (@list @t144 @t143) (not (tptp.c_HOL_Oord__class_Oless @t190 @t143 tptp.tc_nat)))) % 3.22/3.57 (assume @p280 (forall @t34 (or @t59 @t120 @t4 @t348))) % 3.22/3.57 (assume @p281 (forall @t132 (or @t59 @t330 @t135 @t280))) % 3.22/3.57 (assume @p282 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t312 @t54 @t1) @t397 @t130))) % 3.22/3.57 (assume @p283 (forall @t305 (or @t49 (= @t399 (tptp.c_HOL_Oplus__class_Oplus @t66 @t156 @t1))))) % 3.22/3.57 (assume @p284 (forall @t305 (or @t31 (= @t399 (tptp.c_HOL_Oplus__class_Oplus @t62 @t400 @t1))))) % 3.22/3.57 (assume @p285 (forall @t252 (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t250 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t62 @t401 tptp.tc_nat)))) % 3.22/3.57 (assume @p286 (forall @t297 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t50 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t11 @t296 tptp.tc_nat)))) % 3.22/3.57 (assume @p287 (forall @t23 (or @t223 @t404))) % 3.22/3.57 (assume @p288 (forall @t23 (or @t223 (= @t402 (tptp.c_HOL_Oplus__class_Oplus @t15 @t225 @t1))))) % 3.22/3.57 (assume @p289 (forall @t23 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t404))) % 3.22/3.57 (assume @p290 (forall @t407 (or @t49 (= @t406 (tptp.c_HOL_Oplus__class_Oplus @t225 @t85 @t1))))) % 3.22/3.57 (assume @p291 (forall @t23 (or @t49 (= @t403 (tptp.c_HOL_Oplus__class_Oplus @t225 @t15 @t1))))) % 3.22/3.57 (assume @p292 (forall @t407 (or @t49 (= @t406 (tptp.c_HOL_Oplus__class_Oplus @t14 (tptp.c_HOL_Oplus__class_Oplus @t3 @t85 @t1) @t1))))) % 3.22/3.57 (assume @p293 (forall @t23 (or @t49 @t404))) % 3.22/3.57 (assume @p294 (forall @t181 (or @t216 @t409 (not @t408)))) % 3.22/3.57 (assume @p295 (forall @t411 (or @t44 (= (tptp.c_Power_Opower__class_Opower @t3 @t12 @t1) (tptp.c_HOL_Otimes__class_Otimes @t410 @t41 @t1))))) % 3.22/3.57 (assume @p296 (forall @t35 (not (tptp.c_HOL_Oord__class_Oless @t11 @t8 tptp.tc_nat)))) % 3.22/3.57 (assume @p297 (forall @t301 (not (tptp.c_HOL_Oord__class_Oless @t9 @t8 tptp.tc_nat)))) % 3.22/3.57 (assume @p298 (forall @t34 (or @t151 @t112 @t203 @t276 (not (= @t389 @t2))))) % 3.22/3.57 (assume @p299 (forall (@list @t1 @t5 @t62 @t156 @t412) (or @t31 (not (= @t399 (tptp.c_HOL_Oplus__class_Oplus @t62 @t412 @t1))) (= @t400 @t412)))) % 3.22/3.57 (assume @p300 (forall @t245 (or (tptp.c_lessequals @t143 @t244 tptp.tc_nat) @t316))) % 3.22/3.57 (assume @p301 (forall @t247 (or (tptp.c_lessequals @t143 @t246 tptp.tc_nat) @t316))) % 3.22/3.57 (assume @p302 (forall (@list @t50 @t9 @t11) (or @t414 @t413))) % 3.22/3.57 (assume @p303 (forall @t297 (or @t285 @t413))) % 3.22/3.57 (assume @p304 (forall @t252 (or @t415 (not (tptp.c_lessequals @t5 @t156 tptp.tc_nat))))) % 3.22/3.57 (assume @p305 (forall @t252 (or @t415 @t416))) % 3.22/3.57 (assume @p306 (forall @t23 (or @t355 (= @t354 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t37 @t15 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p307 (forall @t23 (or @t355 (= @t354 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t3 @t36 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p308 (forall @t34 (or @t59 @t129 @t4 @t418))) % 3.22/3.57 (assume @p309 (forall @t278 (or @t44 (= (tptp.c_Power_Opower__class_Opower @t54 @t9 @t1) @t54)))) % 3.22/3.57 (assume @p310 (forall @t13 (or (tptp.c_HOL_Oord__class_Oless @t106 @t9 tptp.tc_nat) @t217))) % 3.22/3.57 (assume @p311 (forall @t69 (or @t419 @t339 @t338))) % 3.22/3.57 (assume @p312 (forall @t32 (or @t419 (not @t422) @t421))) % 3.22/3.57 (assume @p313 (forall @t32 (or @t419 @t420 @t422))) % 3.22/3.57 (assume @p314 (forall @t69 (or @t419 @t361 @t352))) % 3.22/3.57 (assume @p315 (forall @t423 (or @t419 @t338 @t339))) % 3.22/3.57 (assume @p316 (forall @t69 (or @t419 @t337 @t425))) % 3.22/3.57 (assume @p317 (forall @t423 (or @t419 @t424 @t336))) % 3.22/3.57 (assume @p318 (forall @t423 (or @t340 @t352 @t361))) % 3.22/3.57 (assume @p319 (forall @t23 (or @t40 (= @t116 @t426)))) % 3.22/3.57 (assume @p320 (forall @t23 (or @t40 (= @t116 @t427)))) % 3.22/3.57 (assume @p321 (= @t83 @t428)) % 3.22/3.57 (assume @p322 (forall @t263 (or @t262 @t223 @t295 @t395 @t240))) % 3.22/3.57 (assume @p323 (forall @t429 (or @t141 (tptp.c_lessequals @t41 @t241 @t1) @t279 @t238))) % 3.22/3.57 (assume @p324 (forall @t432 (or (tptp.c_lessequals @t431 @t430 tptp.tc_nat) @t286))) % 3.22/3.57 (assume @p325 (forall (@list @t11 @t218 @t9) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t11 @t218 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t9 @t218 tptp.tc_nat) tptp.tc_nat) @t286))) % 3.22/3.57 (assume @p326 (forall @t438 (or @t437 @t286 @t434 @t433))) % 3.22/3.57 (assume @p327 (forall @t297 (or @t285 (not @t437) @t434 @t433))) % 3.22/3.57 (assume @p328 (forall @t181 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t221 tptp.tc_nat) @t8))) % 3.22/3.57 (assume @p329 (forall @t188 (= @t439 (tptp.c_HOL_Ominus__class_Ominus @t143 @t376 tptp.tc_nat)))) % 3.22/3.57 (assume @p330 (forall @t440 (or @t141 (tptp.c_lessequals @t41 @t137 @t1) @t240 @t211))) % 3.22/3.57 (assume @p331 (forall @t438 (or (not (= @t436 @t435)) @t434 @t433 @t176))) % 3.22/3.57 (assume @p332 (forall @t152 (or @t151 (not (= @t2 @t54))))) % 3.22/3.57 (assume @p333 (forall @t13 (or @t127 @t126 @t10))) % 3.22/3.57 (assume @p334 (forall @t13 (or @t127 @t71 @t125))) % 3.22/3.57 (assume @p335 (forall @t61 (or @t441 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t167 @t1) (tptp.c_HOL_Oplus__class_Oplus @t54 @t208 @t1))))) % 3.22/3.57 (assume @p336 (forall @t32 (or @t59 @t58 @t55 @t226 (not @t57)))) % 3.22/3.57 (assume @p337 (forall @t13 (= @t274 @t275))) % 3.22/3.57 (assume @p338 (forall @t263 (or @t136 @t215 @t445 @t443))) % 3.22/3.57 (assume @p339 (forall @t375 (or @t136 @t444 @t260 @t443))) % 3.22/3.57 (assume @p340 (forall @t23 (or @t136 @t210 @t445 @t388))) % 3.22/3.57 (assume @p341 (forall @t375 (or @t136 @t444 @t211 @t388))) % 3.22/3.57 (assume @p342 (forall @t23 (or @t22 @t210 @t388 @t445))) % 3.22/3.57 (assume @p343 (forall @t23 (or @t22 @t210 @t388 (not @t446)))) % 3.22/3.57 (assume @p344 (forall @t301 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t9 tptp.tc_nat) @t8))) % 3.22/3.57 (assume @p345 (forall @t438 (= (tptp.c_HOL_Ominus__class_Ominus @t368 @t296 tptp.tc_nat) @t105))) % 3.22/3.57 (assume @p346 (forall @t378 (= (tptp.c_HOL_Ominus__class_Ominus @t289 @t220 tptp.tc_nat) @t105))) % 3.22/3.57 (assume @p347 (forall @t301 (tptp.c_HOL_Oord__class_Oless @t8 @t53 tptp.tc_nat))) % 3.22/3.57 (assume @p348 (forall @t324 (tptp.c_HOL_Oord__class_Oless @t8 @t76 tptp.tc_nat))) % 3.22/3.57 (assume @p349 (forall @t32 (or @t59 @t58 @t364 @t334))) % 3.22/3.57 (assume @p350 (forall (@list @t1 @t3 @t86 @t15 @t14) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t92 (tptp.c_HOL_Oplus__class_Oplus @t90 @t14 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t115 @t86 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p351 (forall @t152 (or @t441 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t1) @t2)))) % 3.22/3.57 (assume @p352 (forall @t13 (tptp.c_lessequals @t105 @t11 tptp.tc_nat))) % 3.22/3.57 (assume @p353 (forall @t34 (or @t166 @t311 @t4))) % 3.22/3.57 (assume @p354 (forall @t111 (or @t68 @t170 @t135 @t121))) % 3.22/3.57 (assume @p355 (forall @t440 (or @t141 @t138 @t217 @t240 @t280))) % 3.22/3.57 (assume @p356 (forall @t69 (or @t7 @t6 (not (= @t447 @t2)) @t75))) % 3.22/3.57 (assume @p357 (forall @t111 (or @t33 @t448 @t160))) % 3.22/3.57 (assume @p358 (forall @t111 (or @t31 @t448 @t160))) % 3.22/3.57 (assume @p359 (forall @t69 (or @t136 @t70 @t449))) % 3.22/3.57 (assume @p360 (forall @t423 (or @t136 @t63 @t449))) % 3.22/3.57 (assume @p361 (forall @t438 (or (= (tptp.c_HOL_Ominus__class_Ominus @t436 @t435 tptp.tc_nat) @t105) @t434 @t433))) % 3.22/3.57 (assume @p362 (forall @t301 (tptp.c_lessequals @t8 @t9 tptp.tc_nat))) % 3.22/3.57 (assume @p363 (forall @t34 (or @t59 @t58 @t168 (not @t450)))) % 3.22/3.57 (assume @p364 (forall @t34 (or @t59 @t58 @t450 @t169))) % 3.22/3.57 (assume @p365 (forall @t111 (or @t68 @t346 @t134 @t240))) % 3.22/3.57 (assume @p366 (forall @t111 (or @t68 @t346 @t140 @t130))) % 3.22/3.57 (assume @p367 (forall @t111 (or @t363 @t58 (= @t451 (tptp.c_HOL_Otimes__class_Otimes @t164 @t212 @t1))))) % 3.22/3.57 (assume @p368 (forall @t111 (or @t166 (= @t451 (tptp.c_HOL_Otimes__class_Otimes @t212 @t164 @t1)) @t108 @t4))) % 3.22/3.57 (assume @p369 (forall @t111 (or @t136 @t391 @t172 @t240))) % 3.22/3.57 (assume @p370 (forall @t111 (or @t136 @t391 @t140 @t169))) % 3.22/3.57 (assume @p371 (forall @t111 (or @t452 @t391 @t172 @t240))) % 3.22/3.57 (assume @p372 (forall @t111 (or @t452 @t391 @t140 @t169))) % 3.22/3.57 (assume @p373 (forall @t132 (or @t452 (tptp.c_lessequals @t128 @t2 @t1) @t172 @t240))) % 3.22/3.57 (assume @p374 (forall @t34 (or @t136 (not (tptp.c_HOL_Oord__class_Oless @t453 @t2 @t1))))) % 3.22/3.57 (assume @p375 (forall @t13 (or @t454 (= @t167 @t9) @t259))) % 3.22/3.57 (assume @p376 (forall @t13 (or @t286 @t256))) % 3.22/3.57 (assume @p377 (forall @t181 (or @t255 @t285))) % 3.22/3.57 (assume @p378 (forall @t252 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t62 tptp.tc_nat) @t401)) @t157))) % 3.22/3.57 (assume @p379 (forall @t209 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t105 @t1) (tptp.c_HOL_Ominus__class_Ominus @t208 @t207 @t1)) @t104))) % 3.22/3.57 (assume @p380 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t41 @t42 @t1) @t349))) % 3.22/3.57 (assume @p381 (forall @t284 (or @t95 @t446 @t455 @t260))) % 3.22/3.57 (assume @p382 (forall @t375 (or @t95 @t444 @t455 @t260))) % 3.22/3.57 (assume @p383 (forall @t284 (or @t456 @t446 @t20 @t211))) % 3.22/3.57 (assume @p384 (forall @t375 (or @t456 @t444 @t20 @t211))) % 3.22/3.57 (assume @p385 (forall @t375 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t444 @t20 @t211))) % 3.22/3.57 (assume @p386 (forall (@list @t1 @t5 @t457 @t14 @t85) (or @t7 @t6 (not (= (tptp.c_HOL_Oplus__class_Oplus @t5 (tptp.c_HOL_Otimes__class_Otimes @t457 @t14 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t5 (tptp.c_HOL_Otimes__class_Otimes @t457 @t85 @t1) @t1))) @t161 (= @t457 @t2)))) % 3.22/3.57 (assume @p387 (forall @t69 (or @t136 @t458 @t63))) % 3.22/3.57 (assume @p388 (forall @t69 (or @t136 @t458 @t70))) % 3.22/3.57 (assume @p389 (tptp.c_lessequals @t8 @t8 tptp.tc_nat)) % 3.22/3.57 (assume @p390 (forall @t301 (not (= @t53 @t9)))) % 3.22/3.57 (assume @p391 (forall @t301 (not (= @t9 @t53)))) % 3.22/3.57 (assume @p392 (forall @t111 (or @t166 (not (= @t38 @t54)) (= @t164 @t15)))) % 3.22/3.57 (assume @p393 (forall @t13 (= @t309 (tptp.c_Divides_Odiv__class_Omod @t307 @t9 tptp.tc_nat)))) % 3.22/3.57 (assume @p394 (forall @t284 (or @t359 @t459 @t280))) % 3.22/3.57 (assume @p395 (forall @t284 (or @t262 @t459 @t280))) % 3.22/3.57 (assume @p396 (forall @t23 (or @t262 @t21 (not @t459)))) % 3.22/3.57 (assume @p397 (forall @t375 (or @t359 @t460 @t280))) % 3.22/3.57 (assume @p398 (forall @t375 (or @t262 @t460 @t280))) % 3.22/3.57 (assume @p399 (forall @t23 (or @t262 @t21 (not @t460)))) % 3.22/3.57 (assume @p400 (forall @t249 (or (tptp.c_HOL_Oord__class_Oless @t147 @t376 tptp.tc_nat) @t243))) % 3.22/3.57 (assume @p401 (forall @t297 (or @t175 (not @t461)))) % 3.22/3.57 (assume @p402 (forall @t378 (or @t461 @t259))) % 3.22/3.57 (assume @p403 (forall @t463 (or @t353 (tptp.c_lessequals @t156 @t5 @t1) @t462 @t352))) % 3.22/3.57 (assume @p404 (forall @t463 (or @t353 @t464 @t462 @t425))) % 3.22/3.57 (assume @p405 (forall @t463 (or @t353 @t464 @t465 @t352))) % 3.22/3.57 (assume @p406 (forall @t111 (or @t68 (tptp.c_lessequals @t115 @t2 @t1) @t172 @t169))) % 3.22/3.57 (assume @p407 (forall @t467 (or @t340 (tptp.c_lessequals @t5 @t156 @t1) @t466 @t337))) % 3.22/3.57 (assume @p408 (forall @t301 (tptp.c_lessequals @t9 @t9 tptp.tc_nat))) % 3.22/3.57 (assume @p409 (forall @t249 (or (tptp.c_lessequals @t143 @t50 tptp.tc_nat) (not (tptp.c_lessequals @t144 @t50 tptp.tc_nat)) @t316))) % 3.22/3.57 (assume @p410 (forall @t324 @t323)) % 3.22/3.57 (assume @p411 (forall @t32 (or @t353 @t422))) % 3.22/3.57 (assume @p412 (forall @t32 (or @t340 @t422))) % 3.22/3.57 (assume @p413 (forall @t467 (or @t340 @t469 @t468 @t337))) % 3.22/3.57 (assume @p414 (forall @t467 (or @t340 @t469 @t466 @t361))) % 3.22/3.57 (assume @p415 (forall (@list @t1 @t3 @t15 @t85 @t14) (or @t357 (tptp.c_lessequals @t3 @t320 @t1) @t319 (not (tptp.c_lessequals @t3 @t371 @t1))))) % 3.22/3.57 (assume @p416 (= @t428 @t83)) % 3.22/3.57 (assume @p417 (forall @t32 (or @t382 (= @t153 @t5)))) % 3.22/3.57 (assume @p418 (forall @t111 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t38 @t15 @t1) @t2)))) % 3.22/3.57 (assume @p419 (forall @t132 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t128 @t15 @t1) @t2)))) % 3.22/3.57 (assume @p420 (forall @t163 (or @t22 @t282 @t20 @t240 @t281 @t280))) % 3.22/3.57 (assume @p421 (forall @t181 (or @t180 @t179 @t286))) % 3.22/3.57 (assume @p422 (forall @t111 (or @t166 (= (tptp.c_HOL_Ominus__class_Ominus @t164 @t212 @t1) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t164 @t87 @t1) @t212 @t1)) @t108 @t4))) % 3.22/3.57 (assume @p423 (forall @t13 (or @t175 (not @t454)))) % 3.22/3.57 (assume @p424 (forall @t13 (or @t173 @t259))) % 3.22/3.57 (assume @p425 (forall @t111 (or @t166 @t470 @t160 @t108 @t4))) % 3.22/3.57 (assume @p426 (forall @t111 (or @t166 @t58 @t470 @t160))) % 3.22/3.57 (assume @p427 (forall @t152 (or @t136 (= @t183 @t2)))) % 3.22/3.57 (assume @p428 (forall @t375 (or @t136 @t442 @t21 @t19))) % 3.22/3.57 (assume @p429 (forall @t263 (or @t136 @t329 @t387 @t19))) % 3.22/3.57 (assume @p430 (forall @t375 (or @t136 @t442 @t21 @t27))) % 3.22/3.57 (assume @p431 (forall @t263 (or @t136 @t329 @t387 @t27))) % 3.22/3.57 (assume @p432 (forall @t152 (or @t58 @t471))) % 3.22/3.57 (assume @p433 (forall @t152 (or @t166 @t58 @t471))) % 3.22/3.57 (assume @p434 (forall @t301 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t9 @t83 tptp.tc_nat)) @t9) @t217))) % 3.22/3.57 (assume @p435 (forall @t209 (or @t441 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t12 @t1) (tptp.c_HOL_Oplus__class_Oplus @t208 @t207 @t1))))) % 3.22/3.57 (assume @p436 (forall @t477 (or @t357 @t476 @t474 @t352))) % 3.22/3.57 (assume @p437 (forall @t477 (or @t357 @t476 @t338 (not @t474)))) % 3.22/3.57 (assume @p438 (forall @t142 (or @t293 (= (tptp.c_Power_Opower__class_Opower @t38 @t9 @t1) (tptp.c_HOL_Otimes__class_Otimes @t41 @t137 @t1))))) % 3.22/3.57 (assume @p439 (forall (@list @t1 @t5 @t62 @t46) (or @t49 (= (tptp.c_Power_Opower__class_Opower @t158 @t46 @t1) (tptp.c_HOL_Otimes__class_Otimes @t48 (tptp.c_Power_Opower__class_Opower @t62 @t46 @t1) @t1))))) % 3.22/3.57 (assume @p440 (forall @t284 (or @t40 (= @t426 @t116)))) % 3.22/3.57 (assume @p441 (forall @t23 (or @t40 (= @t427 @t116)))) % 3.22/3.57 (assume @p442 (forall @t478 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t9 @t370 tptp.tc_nat) @t9 tptp.tc_nat) @t217))) % 3.22/3.57 (assume @p443 (forall @t13 (or @t479 @t126 @t125))) % 3.22/3.57 (assume @p444 (forall @t13 (or @t479 @t71 @t10))) % 3.22/3.57 (assume @p445 (forall @t132 (or @t353 @t329 @t160 @t260))) % 3.22/3.57 (assume @p446 (forall @t132 (or @t353 @t329 @t260 @t160))) % 3.22/3.57 (assume @p447 (forall @t13 (or @t175 @t176 @t286))) % 3.22/3.57 (assume @p448 (forall @t13 (or @t176 @t175 @t286))) % 3.22/3.57 (assume @p449 (forall @t69 (or @t353 @t75 @t339 @t337))) % 3.22/3.57 (assume @p450 (forall @t69 (or @t353 @t339 @t75 @t337))) % 3.22/3.57 (assume @p451 (forall @t111 (or @t353 @t21 @t160 @t211))) % 3.22/3.57 (assume @p452 (forall @t111 (or @t353 @t21 @t211 @t160))) % 3.22/3.57 (assume @p453 (forall @t69 (or @t419 @t75 @t337 @t339))) % 3.22/3.57 (assume @p454 (forall @t69 (or @t419 @t75 @t339 @t337))) % 3.22/3.57 (assume @p455 (forall @t45 (or @t166 @t58 @t165))) % 3.22/3.57 (assume @p456 (forall @t111 (or @t452 @t480 @t140 @t240))) % 3.22/3.57 (assume @p457 (forall @t111 (or @t136 @t480 @t172 @t169))) % 3.22/3.57 (assume @p458 (forall @t111 (or @t136 @t480 @t140 @t240))) % 3.22/3.57 (assume @p459 (forall @t34 (or @t136 (tptp.c_lessequals @t2 @t453 @t1)))) % 3.22/3.57 (assume @p460 (forall @t111 (or @t95 @t480 @t172 @t169))) % 3.22/3.57 (assume @p461 (forall @t111 (or @t95 @t480 @t140 @t240))) % 3.22/3.57 (assume @p462 (forall @t284 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t16 @t1) (tptp.c_HOL_Otimes__class_Otimes @t299 @t14 @t1))))) % 3.22/3.57 (assume @p463 (forall @t375 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t24 @t1) (tptp.c_HOL_Otimes__class_Otimes @t14 @t299 @t1))))) % 3.22/3.57 (assume @p464 (forall @t181 (or @t103 (not @t481)))) % 3.22/3.57 (assume @p465 (forall @t181 (or @t481 @t104))) % 3.22/3.57 (assume @p466 (forall @t23 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t14 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t16 @t1))))) % 3.22/3.57 (assume @p467 (forall @t483 (or @t49 (= @t482 (tptp.c_HOL_Otimes__class_Otimes @t196 @t193 @t1))))) % 3.22/3.57 (assume @p468 (forall @t483 (or @t49 (= @t482 (tptp.c_HOL_Otimes__class_Otimes @t195 (tptp.c_HOL_Otimes__class_Otimes @t193 @t194 @t1) @t1))))) % 3.22/3.57 (assume @p469 (forall @t485 (or @t49 (= @t484 (tptp.c_HOL_Otimes__class_Otimes @t196 @t192 @t1))))) % 3.22/3.57 (assume @p470 (forall @t485 (or @t49 (= @t484 (tptp.c_HOL_Otimes__class_Otimes @t194 (tptp.c_HOL_Otimes__class_Otimes @t195 @t192 @t1) @t1))))) % 3.22/3.57 (assume @p471 (forall @t305 (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes @t5 (tptp.c_HOL_Otimes__class_Otimes @t62 @t156 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t158 @t156 @t1))))) % 3.22/3.57 (assume @p472 (forall @t23 (or @t49 @t486))) % 3.22/3.57 (assume @p473 (forall @t23 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t486))) % 3.22/3.57 (assume @p474 (forall @t305 (or @t49 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t398 @t1) @t304)))) % 3.22/3.57 (assume @p475 (forall @t181 (or @t103 @t285))) % 3.22/3.57 (assume @p476 (forall @t423 (or @t419 @t338 @t336))) % 3.22/3.57 (assume @p477 (forall @t438 (or (not (= @t368 @t296)) @t176))) % 3.22/3.57 (assume @p478 (forall @t378 (or (not (= @t289 @t220)) @t176))) % 3.22/3.57 (assume @p479 (forall @t305 (or @t7 @t6 (not (= @t66 @t400)) @t157))) % 3.22/3.57 (assume @p480 (forall @t23 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t488 @t487))) % 3.22/3.57 (assume @p481 (forall @t23 (or @t489 @t488 @t487))) % 3.22/3.57 (assume @p482 (forall @t263 (or @t489 (not (= @t222 @t224)) @t487))) % 3.22/3.57 (assume @p483 (forall @t32 (or @t363 @t58 (not (= @t56 @t54)) (= @t5 @t54)))) % 3.22/3.57 (assume @p484 (forall @t32 (or @t59 @t58 @t490 @t226 (not @t331)))) % 3.22/3.57 (assume @p485 (forall @t13 (tptp.c_lessequals @t106 @t11 tptp.tc_nat))) % 3.22/3.57 (assume @p486 (forall @t297 (or (tptp.c_lessequals @t11 (tptp.c_HOL_Ominus__class_Ominus @t221 @t50 tptp.tc_nat) tptp.tc_nat) @t434))) % 3.22/3.57 (assume @p487 (forall @t69 (or @t124 (tptp.c_lessequals @t158 @t5 @t1) @t491 @t65 @t64))) % 3.22/3.57 (assume @p488 (forall @t423 (or @t124 (tptp.c_lessequals @t325 @t5 @t1) @t491 @t65 @t64))) % 3.22/3.57 (assume @p489 (forall @t23 (or @t355 (= @t354 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t37 @t36 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p490 (forall @t13 (or (not @t308) (= @t309 @t8)))) % 3.22/3.57 (assume @p491 (forall @t34 (or @t59 @t58 @t129 @t418))) % 3.22/3.57 (assume @p492 (forall @t34 (or @t59 @t58 @t417 @t130))) % 3.22/3.57 (assume @p493 (forall @t34 (or @t59 @t417 @t130))) % 3.22/3.57 (assume @p494 (forall @t23 (or @t40 (= @t39 @t283)))) % 3.22/3.57 (assume @p495 (forall @t23 (or @t40 (= @t39 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t3 @t36 @t1) @t14 @t1))))) % 3.22/3.57 (assume @p496 (forall @t13 (or @t479 @t126 @t10))) % 3.22/3.57 (assume @p497 (forall @t13 (or @t479 @t71 @t125))) % 3.22/3.57 (assume @p498 (forall @t297 (= (tptp.c_HOL_Ominus__class_Ominus @t232 @t492 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t105 @t50 tptp.tc_nat)))) % 3.22/3.57 (assume @p499 (forall @t69 (or @t136 @t493 @t70))) % 3.22/3.57 (assume @p500 (forall @t69 (or @t136 @t493 @t63))) % 3.22/3.57 (assume @p501 (forall (@list @t1 @t3 @t15 @t14 @t85) (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t115 @t405 @t1) (tptp.c_HOL_Oplus__class_Oplus @t225 @t320 @t1))))) % 3.22/3.57 (assume @p502 (forall @t61 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t208 @t2 @t1))))) % 3.22/3.57 (assume @p503 (forall @t440 (or @t141 (not (= @t41 @t137)) @t160 @t217 @t140 @t240))) % 3.22/3.57 (assume @p504 (forall @t111 (or @t166 (= @t494 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t164 @t115 @t1) @t212 @t1)) @t108 @t4))) % 3.22/3.57 (assume @p505 (forall @t111 (or @t363 (= @t494 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t115 @t164 @t1) @t212 @t1)) @t108 @t4))) % 3.22/3.57 (assume @p506 (forall @t301 (tptp.c_lessequals @t53 @t53 tptp.tc_nat))) % 3.22/3.57 (assume @p507 (forall (@list @t9 @t229 @t51 @t50) (= (tptp.c_Lambda_Oliftn @t9 @t495 @t50) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t9 @t229 @t50) @t52)))) % 3.22/3.57 (assume @p508 (forall @t375 (or @t136 @t442 @t387 @t27))) % 3.22/3.57 (assume @p509 (forall @t263 (or @t136 @t329 @t21 @t27))) % 3.22/3.57 (assume @p510 (forall @t375 (or @t136 @t442 @t387 @t19))) % 3.22/3.57 (assume @p511 (forall @t263 (or @t136 @t329 @t21 @t19))) % 3.22/3.57 (assume @p512 (forall @t478 (or (= (tptp.c_HOL_Ominus__class_Ominus @t9 (tptp.c_HOL_Ominus__class_Ominus @t9 @t143 tptp.tc_nat) tptp.tc_nat) @t143) (not (tptp.c_lessequals @t143 @t9 tptp.tc_nat))))) % 3.22/3.57 (assume @p513 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t42 @t41 @t1) @t397 @t130))) % 3.22/3.57 (assume @p514 (forall @t498 (or @t497 (= (tptp.c_Lambda_Osubstn @t496 @t229 @t5) (tptp.c_Lambda_Oliftn @t5 @t229 @t8))))) % 3.22/3.57 (assume @p515 (forall @t13 (or (= @t11 @t53) @t285 (not @t394)))) % 3.22/3.57 (assume @p516 (forall @t324 (or @t497 @t322))) % 3.22/3.57 (assume @p517 (forall @t13 (or @t259 @t179))) % 3.22/3.57 (assume @p518 (forall @t181 (or @t178 @t175))) % 3.22/3.57 (assume @p519 (forall @t263 (or @t136 @t329 @t27 @t443))) % 3.22/3.57 (assume @p520 (forall @t375 (or @t136 @t26 @t499 @t443))) % 3.22/3.57 (assume @p521 (forall @t23 (or @t136 @t21 @t27 @t388))) % 3.22/3.57 (assume @p522 (forall @t375 (or @t136 @t26 @t280 @t388))) % 3.22/3.57 (assume @p523 (forall @t375 (or @t136 @t26 @t443 @t499))) % 3.22/3.57 (assume @p524 (forall @t375 (or @t22 @t26 @t388 @t280))) % 3.22/3.57 (assume @p525 (forall @t284 (or @t136 @t18 @t443 @t499))) % 3.22/3.57 (assume @p526 (forall @t284 (or @t22 @t18 @t388 @t280))) % 3.22/3.57 (assume @p527 (forall @t284 (or @t136 @t18 @t280 @t388))) % 3.22/3.57 (assume @p528 (forall @t284 (or @t136 @t18 @t499 @t443))) % 3.22/3.57 (assume @p529 (forall @t375 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t26 @t388 @t280))) % 3.22/3.57 (assume @p530 (forall @t440 (or @t141 (not (= @t312 @t381)) @t160 @t140 @t240))) % 3.22/3.57 (assume @p531 (forall @t163 (or @t501 @t500 @t20 @t140 @t319 @t211))) % 3.22/3.57 (assume @p532 (forall @t163 (or @t501 @t500 @t20 @t240 @t319 @t211))) % 3.22/3.57 (assume @p533 (forall @t34 (or @t363 @t502 @t4))) % 3.22/3.57 (assume @p534 (forall @t34 (or @t166 @t502 @t4))) % 3.22/3.57 (assume @p535 (forall @t34 (or @t166 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t164 @t1) @t54) @t4))) % 3.22/3.57 (assume @p536 (forall @t152 (or @t141 (tptp.c_HOL_Oord__class_Oless @t2 @t60 @t1)))) % 3.22/3.57 (assume @p537 (forall @t284 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t24 @t1) @t15 @t1) @t299)))) % 3.22/3.57 (assume @p538 (forall @t23 (or @t40 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t3 @t16 @t1) @t15 @t1) @t299)))) % 3.22/3.57 (assume @p539 (forall (@list @t1 @t3 @t11 @t15) (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t206 (tptp.c_HOL_Otimes__class_Otimes @t15 @t11 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t115 @t11 @t1))))) % 3.22/3.57 (assume @p540 (forall @t278 (or @t141 (tptp.c_lessequals @t2 @t207 @t1)))) % 3.22/3.57 (assume @p541 (forall @t61 (or @t141 (tptp.c_lessequals @t2 @t208 @t1)))) % 3.22/3.57 (assume @p542 (forall @t32 (or @t49 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t5 @t1) @t5)))) % 3.22/3.57 (assume @p543 (forall @t34 (or @t223 @t503))) % 3.22/3.57 (assume @p544 (forall @t324 (= @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t8 tptp.tc_nat)))) % 3.22/3.57 (assume @p545 (forall @t301 (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t9 tptp.tc_nat) @t9))) % 3.22/3.57 (assume @p546 (forall @t35 (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t8 tptp.tc_nat) @t11))) % 3.22/3.57 (assume @p547 (forall @t32 (or @t7 @t6 (= @t5 (tptp.c_HOL_Oplus__class_Oplus @t5 @t2 @t1))))) % 3.22/3.57 (assume @p548 (forall @t34 (or @t223 @t504))) % 3.22/3.57 (assume @p549 (forall @t34 (or @t505 @t503))) % 3.22/3.57 (assume @p550 (forall @t34 (or @t505 @t504))) % 3.22/3.57 (assume @p551 (forall @t34 (or @t49 @t504))) % 3.22/3.57 (assume @p552 (forall @t34 (or @t49 @t503))) % 3.22/3.57 (assume @p553 (forall @t152 (or @t136 (not (tptp.c_HOL_Oord__class_Oless @t2 @t183 @t1))))) % 3.22/3.57 (assume @p554 (forall @t111 (or @t136 @t168 @t239 @t506))) % 3.22/3.57 (assume @p555 (forall @t132 (or @t136 @t171 @t239 @t506))) % 3.22/3.57 (assume @p556 (forall @t111 (or @t136 @t168 @t139 @t506))) % 3.22/3.57 (assume @p557 (forall @t132 (or @t136 @t171 @t139 @t506))) % 3.22/3.57 (assume @p558 (forall @t508 (= (tptp.c_Lambda_Osubstn @t507 @t229 @t50) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t51 @t229 @t50) (tptp.c_Lambda_Osubstn @t412 @t229 @t50))))) % 3.22/3.57 (assume @p559 (forall @t13 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t9 tptp.tc_nat) @t11))) % 3.22/3.57 (assume @p560 (forall @t181 (= (tptp.c_HOL_Ominus__class_Ominus @t221 @t9 tptp.tc_nat) @t11))) % 3.22/3.57 (assume @p561 (forall @t111 (or @t33 (= (tptp.c_HOL_Ominus__class_Ominus @t115 @t15 @t1) @t3)))) % 3.22/3.57 (assume @p562 (forall @t32 (or @t59 @t58 @t333 (not @t335) @t365))) % 3.22/3.57 (assume @p563 (forall @t509 (or @t141 @t285 (not (tptp.c_lessequals @t410 @t41 @t1)) @t349))) % 3.22/3.57 (assume @p564 (forall @t514 (or @t141 @t360 (not @t513) @t510))) % 3.22/3.57 (assume @p565 (forall @t515 (or @t141 @t513 @t416 @t510))) % 3.22/3.57 (assume @p566 (forall @t163 (or @t359 @t358 @t281 @t211))) % 3.22/3.57 (assume @p567 (forall @t163 (or @t359 @t358 @t319 @t280))) % 3.22/3.57 (assume @p568 (forall (@list @t5 @t9) (or (tptp.c_HOL_Oord__class_Oless @t76 @t53 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t5 @t9 tptp.tc_nat))))) % 3.22/3.57 (assume @p569 (forall @t13 (or @t175 (not @t516)))) % 3.22/3.57 (assume @p570 (forall @t13 (or @t516 @t259))) % 3.22/3.57 (assume @p571 (forall @t13 (or @t408 @t217))) % 3.22/3.57 (assume @p572 (forall @t13 (or @t408 @t517))) % 3.22/3.57 (assume @p573 (forall @t34 (or @t74 @t129 (not @t518)))) % 3.22/3.57 (assume @p574 (forall @t34 (or @t74 @t518 @t130))) % 3.22/3.57 (assume @p575 (forall @t209 (or @t141 (tptp.c_HOL_Oord__class_Oless @t54 (tptp.c_HOL_Otimes__class_Otimes @t11 @t9 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t54 @t9 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t54 @t11 @t1))))) % 3.22/3.57 (assume @p576 (forall (@list @t229 @t457) (or (= @t229 (tptp.c_Lambda_OdB_OAbs @t521)) @t520))) % 3.22/3.57 (assume @p577 (forall (@list @t51 @t143 @t50) (or (= (tptp.c_Lambda_Olift @t523 @t492) (tptp.c_Lambda_Olift @t522 @t143)) (not (tptp.c_HOL_Oord__class_Oless @t143 @t228 tptp.tc_nat))))) % 3.22/3.57 (assume @p578 (forall @t527 (or (= @t526 (tptp.c_Lambda_Osubst (tptp.c_Lambda_Olift @t51 @t524) @t525 @t144)) (not (tptp.c_HOL_Oord__class_Oless @t144 @t524 tptp.tc_nat))))) % 3.22/3.57 (assume @p579 (forall (@list @t457 @t143 @t229) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t457 @t143) @t525) @t528))) % 3.22/3.57 (assume @p580 (forall @t342 (or (= @t530 @t343) @t529))) % 3.22/3.57 (assume @p581 (forall @t32 (or @t59 @t58 @t366 @t383))) % 3.22/3.57 (assume @p582 (forall @t345 (or (= @t344 @t343) @t529))) % 3.22/3.57 (assume @p583 (forall @t535 (or (= @t534 @t533) @t532))) % 3.22/3.57 (assume @p584 (forall (@list @t229 @t412 @t51) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t229 @t412) @t507) @t536))) % 3.22/3.57 (assume @p585 (forall (@list @t412 @t229 @t51) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t412 @t229) (tptp.c_Lambda_OdB_OApp @t412 @t51)) @t536))) % 3.22/3.57 (assume @p586 (forall @t13 (= (tptp.c_HOL_Ominus__class_Ominus @t11 @t53 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t332 @t9 tptp.tc_nat)))) % 3.22/3.57 (assume @p587 (forall (@list @t51 @t539 @t143 @t144 @t412) (or (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t51 (tptp.c_Lambda_Olift @t539 @t143) @t290) (tptp.c_Lambda_Osubst @t412 @t539 @t144) @t143) (tptp.c_Lambda_Osubst (tptp.c_Lambda_Osubst @t51 @t412 @t143) @t539 @t144)) @t538))) % 3.22/3.57 (assume @p588 (forall @t231 (= (tptp.c_Lambda_Osubst @t230 @t229 @t50) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubst @t51 (tptp.c_Lambda_Olift @t229 @t8) @t228))))) % 3.22/3.57 (assume @p589 (forall (@list @t3 @t14 @t15) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t3 @t14 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t15 @t14 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t14 @t3 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t3 @t15 tptp.tc_nat))))) % 3.22/3.57 (assume @p590 (forall @t188 (= @t439 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t143 @t50 tptp.tc_nat) @t144 tptp.tc_nat)))) % 3.22/3.57 (assume @p591 (forall @t527 (or (= @t526 (tptp.c_Lambda_Osubst @t523 @t525 @t537)) @t538))) % 3.22/3.57 (assume @p592 (forall @t45 (or @t141 (tptp.c_HOL_Oord__class_Oless @t54 @t41 @t1) @t217 @t349))) % 3.22/3.57 (assume @p593 (forall (@list @t1 @t5 @t472 @t473) (or @t31 (not (= @t29 @t475)) (= @t472 @t473)))) % 3.22/3.57 (assume @p594 (forall (@list @t1 @t540 @t62 @t5) (or @t31 (not (= (tptp.c_HOL_Ominus__class_Ominus @t540 @t62 @t1) @t29)) (= @t540 @t62)))) % 3.22/3.57 (assume @p595 (forall @t152 (or @t441 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t84 @t1) @t54)))) % 3.22/3.57 (assume @p596 (forall @t342 (or (= @t530 (tptp.c_Lambda_OdB_OVar @t524)) @t248))) % 3.22/3.57 (assume @p597 (forall @t463 (or @t353 @t464 @t465 @t425))) % 3.22/3.57 (assume @p598 (forall @t467 (or @t340 @t469 @t468 @t361))) % 3.22/3.57 (assume @p599 (forall @t13 (tptp.c_HOL_Oord__class_Oless @t105 @t167 tptp.tc_nat))) % 3.22/3.57 (assume @p600 (forall @t242 (or @t141 (tptp.c_HOL_Oord__class_Oless @t241 @t41 @t1) @t397 @t130 @t541))) % 3.22/3.57 (assume @p601 (forall @t301 (= (tptp.c_HOL_Ominus__class_Ominus @t53 @t84 tptp.tc_nat) @t9))) % 3.22/3.57 (assume @p602 (forall (@list @t229 @t51 @t50) (= (tptp.c_Lambda_Olift @t495 @t50) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t229 @t50) @t522)))) % 3.22/3.57 (assume @p603 (forall @t432 (or (tptp.c_HOL_Oord__class_Oless @t431 @t430 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t11 @t218 tptp.tc_nat)) @t259))) % 3.22/3.57 (assume @p604 (forall @t535 (or (= @t534 @t343) @t542 @t531))) % 3.22/3.57 (assume @p605 (forall @t152 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t54 @t2 @t1))))) % 3.22/3.57 (assume @p606 (forall (@list @t144 @t9 @t50) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t144 @t9 tptp.tc_nat) @t50 tptp.tc_nat) @t369))) % 3.22/3.57 (assume @p607 (forall @t324 (not @t497))) % 3.22/3.57 (assume @p608 (forall @t301 (not (tptp.c_HOL_Oord__class_Oless @t9 @t9 tptp.tc_nat)))) % 3.22/3.57 (assume @p609 (forall @t32 (or @t353 @t421))) % 3.22/3.57 (assume @p610 (forall @t32 (or @t419 @t421))) % 3.22/3.57 (assume @p611 (forall @t32 (or @t340 @t421))) % 3.22/3.57 (assume @p612 (forall @t543 (tptp.c_Lambda_Obeta (tptp.c_Lambda_OdB_OApp @t350 @t51) (tptp.c_Lambda_Osubst @t229 @t51 @t8)))) % 3.22/3.57 (assume @p613 (forall @t423 (or @t124 @t424 @t339 @t75))) % 3.22/3.57 (assume @p614 (forall @t69 (or @t419 @t75 @t424 @t339))) % 3.22/3.57 (assume @p615 (forall @t181 (or @t177 @t175 @t176))) % 3.22/3.57 (assume @p616 (forall (@list @t62 @t5) (or (tptp.c_HOL_Oord__class_Oless @t62 @t5 tptp.tc_nat) @t253 @t75))) % 3.22/3.57 (assume @p617 (forall @t423 (or @t419 @t424 @t339 @t75))) % 3.22/3.57 (assume @p618 (forall @t423 (or @t419 @t424 @t75 @t339))) % 3.22/3.57 (assume @p619 (forall @t69 (or @t419 @t75 @t339 @t424))) % 3.22/3.57 (assume @p620 (forall @t301 (or (= @t544 @t9) @t217))) % 3.22/3.57 (assume @p621 (forall @t301 (or (= @t9 @t544) @t217))) % 3.22/3.57 (assume @p622 (forall @t552 (or @t551 (= @t546 @t545)))) % 3.22/3.57 (assume @p623 (forall @t552 (or @t551 (= @t549 @t547)))) % 3.22/3.57 (assume @p624 (forall @t379 (or (= (tptp.c_List_Olast (tptp.c_List_Oupt @t143 @t144) tptp.tc_nat) @t553) @t243))) % 3.22/3.57 (assume @p625 (forall @t111 (or @t357 @t21 (not @t554)))) % 3.22/3.57 (assume @p626 (forall @t111 (or @t357 @t554 @t280))) % 3.22/3.57 (assume @p627 (forall @t209 (or @t141 @t555 @t259))) % 3.22/3.57 (assume @p628 (forall @t209 (or @t141 @t175 (not @t555)))) % 3.22/3.57 (assume @p629 (forall @t152 (or @t141 (tptp.c_HOL_Oord__class_Oless @t2 @t54 @t1)))) % 3.22/3.57 (assume @p630 (forall @t34 (or @t141 (tptp.c_HOL_Oord__class_Oless @t3 @t204 @t1)))) % 3.22/3.57 (assume @p631 (forall (@list @t457 @t229) (or (tptp.c_Lambda_Obeta @t457 @t521) @t520))) % 3.22/3.57 (assume @p632 (forall @t411 (or @t141 (not (= @t410 @t41)) @t349 @t176))) % 3.22/3.57 (assume @p633 (forall @t297 (or @t175 (not @t556) @t434 @t433))) % 3.22/3.57 (assume @p634 (forall @t438 (or @t556 @t259 @t434 @t433))) % 3.22/3.57 (assume @p635 (forall @t515 (or @t141 @t557 @t254 @t510))) % 3.22/3.57 (assume @p636 (forall @t514 (or @t141 @t253 (not @t557) @t510))) % 3.22/3.57 (assume @p637 (forall @t429 (or @t141 (tptp.c_HOL_Oord__class_Oless @t41 @t241 @t1) @t349 @t541))) % 3.22/3.57 (assume @p638 (forall @t509 (or @t141 @t175 (not (tptp.c_HOL_Oord__class_Oless @t410 @t41 @t1)) @t349))) % 3.22/3.57 (assume @p639 (forall @t13 (or @t107 @t175))) % 3.22/3.57 (assume @p640 (forall @t249 (or @t559 (not @t558)))) % 3.22/3.57 (assume @p641 (forall @t188 (or @t558 (not @t559)))) % 3.22/3.57 (assume @p642 (forall @t32 (or @t59 @t58 @t331 (not @t490)))) % 3.22/3.57 (assume @p643 (forall @t13 (or @t175 (not @t560)))) % 3.22/3.57 (assume @p644 (forall @t181 (or @t560 @t259))) % 3.22/3.57 (assume @p645 (forall @t13 (or (tptp.c_HOL_Oord__class_Oless @t105 @t11 tptp.tc_nat) @t517 @t217))) % 3.22/3.57 (assume @p646 (forall @t477 (or @t357 @t476 @t561 @t361))) % 3.22/3.57 (assume @p647 (forall @t477 (or @t357 @t476 @t339 (not @t561)))) % 3.22/3.57 (assume @p648 (forall @t181 (or @t380 @t175))) % 3.22/3.57 (assume @p649 (forall (@list @t229 @t50) (= (tptp.c_Lambda_Olift @t350 @t50) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Olift @t229 @t228))))) % 3.22/3.57 (assume @p650 (forall @t111 (or @t353 @t280 @t499))) % 3.22/3.57 (assume @p651 (forall @t69 (or @t419 @t361 @t425))) % 3.22/3.57 (assume @p652 (forall @t423 (or @t340 @t425 @t361))) % 3.22/3.57 (assume @p653 (forall @t132 (or @t340 @t499 @t280))) % 3.22/3.57 (assume @p654 (forall @t508 (= (tptp.c_Lambda_Osubst @t507 @t229 @t50) (tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t51 @t229 @t50) (tptp.c_Lambda_Osubst @t412 @t229 @t50))))) % 3.22/3.57 (assume @p655 (forall (@list @t563 @t79) (not (= @t564 @t562)))) % 3.22/3.57 (assume @p656 (forall (@list @t549 @t546 @t563) (not (= @t550 @t564)))) % 3.22/3.57 (assume @p657 (forall @t82 (or (not (= @t562 (tptp.c_Lambda_OdB_OVar @t78))) @t80))) % 3.22/3.57 (assume @p658 (forall (@list @t563 @t549 @t546) (not (= @t564 @t550)))) % 3.22/3.57 (assume @p659 (forall (@list @t50 @t412) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t50) @t412 @t50) @t412))) % 3.22/3.57 (assume @p660 (forall @t567 (or (= @t566 @t565) (not (tptp.c_HOL_Oord__class_Oless @t144 @t143 tptp.tc_nat))))) % 3.22/3.57 (assume @p661 (forall @t535 (or (= @t568 @t533) @t532))) % 3.22/3.57 (assume @p662 (forall @t567 (or (= @t566 (tptp.c_Lambda_OdB_OVar @t553)) @t243))) % 3.22/3.57 (assume @p663 (forall (@list @t143 @t51) (not (tptp.c_Lambda_Obeta @t343 @t51)))) % 3.22/3.57 (assume @p664 (forall (@list @t79 @t547 @t545) (not (= @t562 @t548)))) % 3.22/3.57 (assume @p665 (forall (@list @t569 @t563) (or (not (= (tptp.c_Lambda_OdB_OAbs @t569) @t564)) (= @t569 @t563)))) % 3.22/3.57 (assume @p666 (forall (@list @t51 @t143) (or (tptp.c_InductTermi_OIT @t523) (not (tptp.c_InductTermi_OIT @t51))))) % 3.22/3.57 (assume @p667 (forall (@list @t79 @t563) (not (= @t562 @t564)))) % 3.22/3.57 (assume @p668 (forall (@list @t457 @t51 @t143 @t229) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t457 @t51 @t143) (tptp.c_Lambda_Osubst @t229 @t51 @t143)) @t528))) % 3.22/3.57 (assume @p669 (forall @t535 (or (= @t568 @t343) @t542 @t531))) % 3.22/3.57 (assume @p670 (forall @t498 (or @t497 (= (tptp.c_Lambda_Osubst @t496 @t229 @t5) @t229)))) % 3.22/3.57 (assume @p671 (forall (@list @t457) (or (tptp.c_InductTermi_OIT @t519) (not (tptp.c_InductTermi_OIT @t457))))) % 3.22/3.57 (assume @p672 (forall (@list @t51 @t50 @t229) (= (tptp.c_Lambda_Osubst @t522 @t229 @t50) @t51))) % 3.22/3.57 (assume @p673 (forall @t543 (or (tptp.c_Lambda_Obeta @t350 @t230) @t536))) % 3.22/3.57 (assume @p674 (forall (@list @t547 @t545 @t79) (not (= @t548 @t562)))) % 3.22/3.57 (assume @p675 (tptp.c_InductTermi_OIT tptp.v_ra)) % 3.22/3.57 (assume @p676 (forall @t379 (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst tptp.v_ra @t343 @t144)))) % 3.22/3.57 (assume @p677 (not (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OAbs tptp.v_ra) @t570 tptp.v_ja)))) % 3.22/3.57 (assume @p678 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 3.22/3.57 (assume @p679 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 3.22/3.57 (assume @p680 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 3.22/3.57 (assume @p681 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 3.22/3.57 (assume @p682 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 3.22/3.57 (assume @p683 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 3.22/3.57 (assume @p684 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 3.22/3.57 (assume @p685 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 3.22/3.57 (assume @p686 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 3.22/3.57 (assume @p687 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 3.22/3.57 (assume @p688 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 3.22/3.57 (assume @p689 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 3.22/3.57 (assume @p690 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 3.22/3.57 (assume @p691 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 3.22/3.57 (assume @p692 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 3.22/3.57 (assume @p693 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 3.22/3.57 (assume @p694 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 3.22/3.57 (assume @p695 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 3.22/3.57 (assume @p696 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 3.22/3.57 (assume @p697 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 3.22/3.57 (assume @p698 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 3.22/3.57 (assume @p699 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 3.22/3.57 (assume @p700 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 3.22/3.57 (assume @p701 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 3.22/3.57 (assume @p702 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 3.22/3.57 (assume @p703 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 3.22/3.57 (assume @p704 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 3.22/3.57 (assume @p705 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 3.22/3.57 (assume @p706 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 3.22/3.57 (assume @p707 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 3.22/3.57 (assume @p708 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 3.22/3.57 (assume @p709 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 3.22/3.57 (assume @p710 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 3.22/3.57 (assume @p711 (tptp.class_Power_Opower tptp.tc_nat)) % 3.22/3.57 (step @p712 :rule evaluate :args ((= false true))) % 3.22/3.57 (step @p713 :rule instantiate :premises (@p676) :args ((@list @t572 @t571))) % 3.22/3.57 (step @p714 :rule true_intro :premises (@p713)) % 3.22/3.57 (step @p715 :rule refl :args (tptp.tc_nat)) % 3.22/3.57 (step @p716 :rule symm :premises (@p28)) % 3.22/3.57 (step @p717 :rule symm :premises (@p321)) % 3.22/3.57 (step @p718 :rule trans :premises (@p717 @p716)) % 3.22/3.57 (step @p719 :rule refl :args (tptp.v_ja)) % 3.22/3.57 (step @p720 :rule cong :premises (@p719 @p718 @p715) :args ((tptp.c_HOL_Oplus__class_Oplus tptp.v_ja @t428 tptp.tc_nat))) % 3.22/3.57 (step @p721 :rule instantiate :premises (@p286) :args ((@list tptp.v_ja @t8 @t83))) % 3.22/3.57 (step @p722 :rule refl :args (@t573)) % 3.22/3.57 (step @p723 :rule cong :premises (@p722 @p28 @p715) :args (@t574)) % 3.22/3.57 (step @p724 :rule trans :premises (@p723 @p721 @p720)) % 3.22/3.57 (step @p725 :rule instantiate :premises (@p596) :args ((@list tptp.v_ia @t8))) % 3.22/3.57 (step @p726 :rule instantiate :premises (@p296) :args ((@list tptp.v_ia))) % 3.22/3.57 (step @p727 :rule cnf_or_pos :args (@t578)) % 3.22/3.57 (step @p728 :rule reordering :premises (@p727) :args ((or @t575 @t577 (not @t578)))) % 3.22/3.57 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p725) :args (@t577 @t579 (@list @t575 @t578))) % 3.22/3.57 (step @p730 :rule refl :args (tptp.v_ra)) % 3.22/3.57 (step @p731 :rule cong :premises (@p730 @p729 @p724) :args ((tptp.c_Lambda_Osubst tptp.v_ra @t576 @t574))) % 3.22/3.57 (step @p732 :rule symm :premises (@p724)) % 3.22/3.57 (step @p733 :rule refl :args (@t576)) % 3.22/3.57 (step @p734 :rule cong :premises (@p730 @p733 @p732) :args (@t580)) % 3.22/3.57 (step @p735 :rule trans :premises (@p734 @p731)) % 3.22/3.57 (step @p736 :rule cong :premises (@p735) :args (@t581)) % 3.22/3.57 (step @p737 :rule instantiate :premises (@p671) :args ((@list @t580))) % 3.22/3.57 (step @p738 :rule false_intro :premises (@p677)) % 3.22/3.57 (step @p739 :rule instantiate :premises (@p588) :args ((@list tptp.v_ra @t570 tptp.v_ja))) % 3.22/3.57 (step @p740 :rule symm :premises (@p739)) % 3.22/3.57 (step @p741 :rule cong :premises (@p740) :args (@t582)) % 3.22/3.57 (step @p742 :rule trans :premises (@p741 @p738)) % 3.22/3.57 (step @p743 :rule false_elim :premises (@p742)) % 3.22/3.57 (step @p744 :rule cnf_or_pos :args (@t584)) % 3.22/3.57 (step @p745 :rule reordering :premises (@p744) :args ((or @t582 @t583 (not @t584)))) % 3.22/3.57 (step @p746 :rule chain_m_resolution :premises (@p745 @p743 @p737) :args (@t583 @t579 (@list @t582 @t584))) % 3.22/3.57 (step @p747 :rule false_intro :premises (@p746)) % 3.22/3.57 (step @p748 :rule symm :premises (@p747)) % 3.22/3.57 (step @p749 :rule trans :premises (@p748 @p736 @p714)) % 3.22/3.57 (step @p750 false :rule eq_resolve :premises (@p749 @p712)) % 3.22/3.57 ) % 3.22/3.58 % SZS output end Proof % 3.22/3.58 % cvc5 exiting %------------------------------------------------------------------------------