%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW209+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:31 AM UTC 2026 % Result : Theorem 28.11s 28.83s % Output : Proof 28.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW209+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:40:28 EDT 2026 % 0.16/0.34 % CPUTime : % 0.43/0.72 %----Proving TF0_NAR, FOF, or CNF % 28.11/28.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.11/28.83 --- Run --no-e-matching --full-saturate-quant at 6... % 28.11/28.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.11/28.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.11/28.83 % SZS status Theorem % 28.11/28.83 % SZS output start Proof % 28.11/28.83 ( % 28.11/28.83 (declare-sort $$unsorted 0) % 28.11/28.83 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Nat__Transfer_Otransfer__morphism (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Int_Onat__aux (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 28.11/28.83 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.v_r $$unsorted) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Record_Oiso__tuple__update__accessor__cong__assist (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Orderings_Oorder__class_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Fun_Oswap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_SEQ_Ocomplete__space (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_SEQ_Oconvergent (-> $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.v_f____ $$unsorted) % 28.11/28.83 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.tc_Nat_Onat $$unsorted) % 28.11/28.83 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Int_Onat $$unsorted) % 28.11/28.83 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_SEQ_OCauchy (-> $$unsorted $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Nat_Ofunpow (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.v_ga____ $$unsorted) % 28.11/28.83 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.c_Int_Oring__1__class_Oof__int (-> $$unsorted $$unsorted $$unsorted)) % 28.11/28.83 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.tc_HOL_Obool $$unsorted) % 28.11/28.83 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.tc_Int_Oint $$unsorted) % 28.11/28.83 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 28.11/28.83 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 28.11/28.83 (define @t1 () (@var "V_gb_2" $$unsorted)) % 28.11/28.83 (define @t2 () (@var "V_fa_2" $$unsorted)) % 28.11/28.83 (define @t3 () (@var "B_x" $$unsorted)) % 28.11/28.83 (define @t4 () (tptp.hAPP @t1 @t3)) % 28.11/28.83 (define @t5 () (tptp.hAPP @t2 @t3)) % 28.11/28.83 (define @t6 () (@list @t3)) % 28.11/28.83 (define @t7 () (@var "B_n" $$unsorted)) % 28.11/28.83 (define @t8 () (@var "B_m" $$unsorted)) % 28.11/28.83 (define @t9 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP tptp.v_f____ @t8) (tptp.hAPP tptp.v_f____ @t7))) % 28.11/28.83 (define @t10 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t7)) % 28.11/28.83 (define @t11 () (@list @t8 @t7)) % 28.11/28.83 (define @t12 () (forall @t11 (=> @t10 @t9))) % 28.11/28.83 (define @t13 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP tptp.v_ga____ @t8) (tptp.hAPP tptp.v_ga____ @t7))) % 28.11/28.83 (define @t14 () (forall @t11 (=> @t10 @t13))) % 28.11/28.83 (define @t15 () (@var "V_h_2" $$unsorted)) % 28.11/28.83 (define @t16 () (@var "T_d" $$unsorted)) % 28.11/28.83 (define @t17 () (@var "T_b" $$unsorted)) % 28.11/28.83 (define @t18 () (@var "T_c" $$unsorted)) % 28.11/28.83 (define @t19 () (@var "T_a" $$unsorted)) % 28.11/28.83 (define @t20 () (tptp.c_Fun_Ocomp @t18 @t17 @t19 @t2)) % 28.11/28.83 (define @t21 () (@var "V_xa_2" $$unsorted)) % 28.11/28.83 (define @t22 () (tptp.hAPP @t1 @t21)) % 28.11/28.83 (define @t23 () (tptp.hAPP @t2 @t22)) % 28.11/28.83 (define @t24 () (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t17 @t19 @t18 @t2) @t1) @t21)) % 28.11/28.83 (define @t25 () (@var "V_x_H_2" $$unsorted)) % 28.11/28.83 (define @t26 () (@var "V_g_H_2" $$unsorted)) % 28.11/28.83 (define @t27 () (@var "V_f_H_2" $$unsorted)) % 28.11/28.83 (define @t28 () (@var "T_e" $$unsorted)) % 28.11/28.83 (define @t29 () (@var "V_v_2" $$unsorted)) % 28.11/28.83 (define @t30 () (@var "V_c_2" $$unsorted)) % 28.11/28.83 (define @t31 () (@var "V_b_2" $$unsorted)) % 28.11/28.83 (define @t32 () (@var "V_a_2" $$unsorted)) % 28.11/28.83 (define @t33 () (tptp.hAPP @t32 (tptp.hAPP @t31 @t29))) % 28.11/28.83 (define @t34 () (tptp.hAPP (tptp.c_Fun_Ocomp @t18 @t17 @t19 @t32) @t31)) % 28.11/28.83 (define @t35 () (@var "V_d_2" $$unsorted)) % 28.11/28.83 (define @t36 () (= @t34 (tptp.hAPP (tptp.c_Fun_Ocomp @t16 @t17 @t19 @t30) @t35))) % 28.11/28.83 (define @t37 () (@var "B_v" $$unsorted)) % 28.11/28.83 (define @t38 () (@var "V_n" $$unsorted)) % 28.11/28.83 (define @t39 () (@list @t38)) % 28.11/28.83 (define @t40 () (@var "V_m_2" $$unsorted)) % 28.11/28.83 (define @t41 () (@var "V_n_2" $$unsorted)) % 28.11/28.83 (define @t42 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t40)) % 28.11/28.83 (define @t43 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t41)) % 28.11/28.83 (define @t44 () (= @t40 @t41)) % 28.11/28.83 (define @t45 () (not @t44)) % 28.11/28.83 (define @t46 () (@list @t41 @t40)) % 28.11/28.83 (define @t47 () (@var "V_x" $$unsorted)) % 28.11/28.83 (define @t48 () (@var "V_y" $$unsorted)) % 28.11/28.83 (define @t49 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t47 @t48)) % 28.11/28.83 (define @t50 () (= @t47 @t48)) % 28.11/28.83 (define @t51 () (not @t50)) % 28.11/28.83 (define @t52 () (@list @t48 @t47)) % 28.11/28.83 (define @t53 () (@var "V_m" $$unsorted)) % 28.11/28.83 (define @t54 () (= @t53 @t38)) % 28.11/28.83 (define @t55 () (not @t54)) % 28.11/28.83 (define @t56 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t53)) % 28.11/28.83 (define @t57 () (@list @t53 @t38)) % 28.11/28.83 (define @t58 () (@var "V_t" $$unsorted)) % 28.11/28.83 (define @t59 () (@var "V_s" $$unsorted)) % 28.11/28.83 (define @t60 () (@var "V_P_2" $$unsorted)) % 28.11/28.83 (define @t61 () (tptp.hAPP @t60 @t41)) % 28.11/28.83 (define @t62 () (tptp.hBOOL (tptp.hAPP @t61 @t40))) % 28.11/28.83 (define @t63 () (tptp.hAPP @t2 @t7)) % 28.11/28.83 (define @t64 () (tptp.c_SEQ_Osubseq @t2)) % 28.11/28.83 (define @t65 () (@list @t2)) % 28.11/28.83 (define @t66 () (tptp.c_Orderings_Oord__class_Oless @t19 @t48 @t47)) % 28.11/28.83 (define @t67 () (tptp.c_Orderings_Oord__class_Oless @t19 @t47 @t48)) % 28.11/28.83 (define @t68 () (not @t67)) % 28.11/28.83 (define @t69 () (tptp.class_Orderings_Olinorder @t19)) % 28.11/28.83 (define @t70 () (@list @t48 @t47 @t19)) % 28.11/28.83 (define @t71 () (tptp.class_Orderings_Opreorder @t19)) % 28.11/28.83 (define @t72 () (@var "V_z" $$unsorted)) % 28.11/28.83 (define @t73 () (tptp.c_Orderings_Oord__class_Oless @t19 @t72 @t47)) % 28.11/28.83 (define @t74 () (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t72 @t48) @t73)) % 28.11/28.83 (define @t75 () (tptp.class_Orderings_Oorder @t19)) % 28.11/28.83 (define @t76 () (@list @t72 @t47 @t48 @t19)) % 28.11/28.83 (define @t77 () (tptp.c_Orderings_Oord__class_Oless @t19 @t47 @t72)) % 28.11/28.83 (define @t78 () (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t48 @t72) @t77)) % 28.11/28.83 (define @t79 () (@list @t72 @t48 @t47 @t19)) % 28.11/28.83 (define @t80 () (@var "V_a" $$unsorted)) % 28.11/28.83 (define @t81 () (@var "V_c" $$unsorted)) % 28.11/28.83 (define @t82 () (tptp.c_Orderings_Oord__class_Oless @t19 @t81 @t80)) % 28.11/28.83 (define @t83 () (@var "V_b" $$unsorted)) % 28.11/28.83 (define @t84 () (= @t83 @t81)) % 28.11/28.83 (define @t85 () (tptp.c_Orderings_Oord__class_Oless @t19 @t83 @t80)) % 28.11/28.83 (define @t86 () (@list @t81 @t80 @t83 @t19)) % 28.11/28.83 (define @t87 () (tptp.c_Orderings_Oord__class_Oless @t19 @t80 @t81)) % 28.11/28.83 (define @t88 () (tptp.c_Orderings_Oord__class_Oless @t19 @t80 @t83)) % 28.11/28.83 (define @t89 () (tptp.class_Orderings_Oord @t19)) % 28.11/28.83 (define @t90 () (@list @t81 @t83 @t80 @t19)) % 28.11/28.83 (define @t91 () (= @t80 @t83)) % 28.11/28.83 (define @t92 () (tptp.c_Orderings_Oord__class_Oless @t19 @t83 @t81)) % 28.11/28.83 (define @t93 () (@list @t80 @t83 @t19)) % 28.11/28.83 (define @t94 () (@list @t83 @t80 @t19)) % 28.11/28.83 (define @t95 () (@list @t47 @t19)) % 28.11/28.83 (define @t96 () (@var "V_ya_2" $$unsorted)) % 28.11/28.83 (define @t97 () (tptp.c_Orderings_Oord__class_Oless @t19 @t96 @t21)) % 28.11/28.83 (define @t98 () (tptp.c_Orderings_Oord__class_Oless @t19 @t21 @t96)) % 28.11/28.83 (define @t99 () (= @t21 @t96)) % 28.11/28.83 (define @t100 () (not @t99)) % 28.11/28.83 (define @t101 () (@list @t96 @t21 @t19)) % 28.11/28.83 (define @t102 () (not @t98)) % 28.11/28.83 (define @t103 () (= @t102 @t99)) % 28.11/28.83 (define @t104 () (@list @t21 @t96 @t19)) % 28.11/28.83 (define @t105 () (=> @t51 (=> @t68 @t66))) % 28.11/28.83 (define @t106 () (@var "V_X_2" $$unsorted)) % 28.11/28.83 (define @t107 () (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat @t19 tptp.tc_Nat_Onat @t106) @t2)) % 28.11/28.83 (define @t108 () (tptp.c_SEQ_OCauchy @t19 @t106)) % 28.11/28.83 (define @t109 () (tptp.class_RealVector_Ometric__space @t19)) % 28.11/28.83 (define @t110 () (@list @t2 @t106 @t19)) % 28.11/28.83 (define @t111 () (tptp.c_SEQ_Oconvergent @t19 @t106)) % 28.11/28.83 (define @t112 () (tptp.class_SEQ_Ocomplete__space @t19)) % 28.11/28.83 (define @t113 () (tptp.class_Rings_Olinordered__idom @t19)) % 28.11/28.83 (define @t114 () (tptp.c_Nat_OSuc @t7)) % 28.11/28.83 (define @t115 () (tptp.hAPP @t2 @t114)) % 28.11/28.83 (define @t116 () (@list @t7)) % 28.11/28.83 (define @t117 () (tptp.hAPP @t2 @t96)) % 28.11/28.83 (define @t118 () (tptp.hAPP @t2 @t21)) % 28.11/28.83 (define @t119 () (tptp.c_Orderings_Oord__class_Oless @t17 @t118 @t117)) % 28.11/28.83 (define @t120 () (tptp.c_Orderings_Oorder__class_Ostrict__mono @t19 @t17 @t2)) % 28.11/28.83 (define @t121 () (tptp.class_Orderings_Oorder @t17)) % 28.11/28.83 (define @t122 () (and @t121 @t69)) % 28.11/28.83 (define @t123 () (@list @t96 @t21 @t2 @t19 @t17)) % 28.11/28.83 (define @t124 () (and @t121 @t75)) % 28.11/28.83 (define @t125 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t19)) % 28.11/28.83 (define @t126 () (tptp.hAPP @t125 @t41)) % 28.11/28.83 (define @t127 () (tptp.hAPP @t125 @t40)) % 28.11/28.83 (define @t128 () (tptp.class_Rings_Olinordered__semidom @t19)) % 28.11/28.83 (define @t129 () (@list @t41 @t40 @t19)) % 28.11/28.83 (define @t130 () (tptp.hAPP @t125 @t38)) % 28.11/28.83 (define @t131 () (tptp.hAPP @t125 @t53)) % 28.11/28.83 (define @t132 () (tptp.c_Orderings_Oord__class_Oless @t19 @t131 @t130)) % 28.11/28.83 (define @t133 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t38)) % 28.11/28.83 (define @t134 () (@list @t38 @t53 @t19)) % 28.11/28.83 (define @t135 () (@var "V_upd_2" $$unsorted)) % 28.11/28.83 (define @t136 () (@var "V_ac_2" $$unsorted)) % 28.11/28.83 (define @t137 () (tptp.hAPP @t136 @t21)) % 28.11/28.83 (define @t138 () (= (tptp.hAPP @t2 @t137) @t137)) % 28.11/28.83 (define @t139 () (tptp.c_Record_Oiso__tuple__update__accessor__cong__assist @t19 @t17 @t135 @t136)) % 28.11/28.83 (define @t140 () (tptp.c_Nat_OSuc @t38)) % 28.11/28.83 (define @t141 () (tptp.c_Nat_OSuc @t53)) % 28.11/28.83 (define @t142 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t140)) % 28.11/28.83 (define @t143 () (@list @t38 @t53)) % 28.11/28.83 (define @t144 () (@list @t106 @t19)) % 28.11/28.83 (define @t145 () (tptp.c_Fun_Oswap @t19 @t17 @t32 @t31 @t2)) % 28.11/28.83 (define @t146 () (= @t31 @t30)) % 28.11/28.83 (define @t147 () (@list @t2 @t31 @t32 @t17 @t19)) % 28.11/28.83 (define @t148 () (@var "V_nat_H_2" $$unsorted)) % 28.11/28.83 (define @t149 () (@var "V_nat_2" $$unsorted)) % 28.11/28.83 (define @t150 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 @t38)) % 28.11/28.83 (define @t151 () (not @t133)) % 28.11/28.83 (define @t152 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t140)) % 28.11/28.83 (define @t153 () (@var "V_k" $$unsorted)) % 28.11/28.83 (define @t154 () (@var "V_i" $$unsorted)) % 28.11/28.83 (define @t155 () (tptp.c_Nat_OSuc @t154)) % 28.11/28.83 (define @t156 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t155 @t153)) % 28.11/28.83 (define @t157 () (@var "V_j" $$unsorted)) % 28.11/28.83 (define @t158 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t153)) % 28.11/28.83 (define @t159 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t157)) % 28.11/28.83 (define @t160 () (@list @t153 @t157 @t154)) % 28.11/28.83 (define @t161 () (= @t41 @t40)) % 28.11/28.83 (define @t162 () (tptp.c_Nat_OSuc @t40)) % 28.11/28.83 (define @t163 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t162)) % 28.11/28.83 (define @t164 () (= @t163 @t161)) % 28.11/28.83 (define @t165 () (@list @t40 @t41)) % 28.11/28.83 (define @t166 () (tptp.c_Nat_OSuc @t41)) % 28.11/28.83 (define @t167 () (or @t43 @t44)) % 28.11/28.83 (define @t168 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t166)) % 28.11/28.83 (define @t169 () (@var "V_n_H_2" $$unsorted)) % 28.11/28.83 (define @t170 () (tptp.hAPP @t2 @t41)) % 28.11/28.83 (define @t171 () (forall @t116 (tptp.c_Orderings_Oord__class_Oless @t19 @t63 @t115))) % 28.11/28.83 (define @t172 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint)) % 28.11/28.83 (define @t173 () (tptp.hAPP @t172 @t41)) % 28.11/28.83 (define @t174 () (tptp.hAPP @t172 @t40)) % 28.11/28.83 (define @t175 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t96)) % 28.11/28.83 (define @t176 () (tptp.hAPP @t172 @t96)) % 28.11/28.83 (define @t177 () (tptp.hAPP @t172 @t21)) % 28.11/28.83 (define @t178 () (@list @t96 @t21)) % 28.11/28.83 (define @t179 () (tptp.c_Nat_Ocompow @t19 @t19)) % 28.11/28.83 (define @t180 () (tptp.hAPP @t179 @t41)) % 28.11/28.83 (define @t181 () (tptp.hAPP @t180 @t2)) % 28.11/28.83 (define @t182 () (@var "B_y" $$unsorted)) % 28.11/28.83 (define @t183 () (@var "V_i_2" $$unsorted)) % 28.11/28.83 (define @t184 () (@var "V_inc_2" $$unsorted)) % 28.11/28.83 (define @t185 () (tptp.class_Rings_Osemiring__1 @t19)) % 28.11/28.83 (define @t186 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 28.11/28.83 (define @t187 () (@var "B_j" $$unsorted)) % 28.11/28.83 (define @t188 () (tptp.c_Nat_OSuc @t187)) % 28.11/28.83 (define @t189 () (@list @t187)) % 28.11/28.83 (define @t190 () (not (forall @t189 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t187) (not (= @t153 @t188)))))) % 28.11/28.83 (define @t191 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t153)) % 28.11/28.83 (define @t192 () (@list @t153 @t154)) % 28.11/28.83 (define @t193 () (tptp.c_Groups_Ozero__class_Ozero @t19)) % 28.11/28.83 (define @t194 () (@list @t19)) % 28.11/28.83 (define @t195 () (tptp.tc_fun @t19 @t17)) % 28.11/28.83 (define @t196 () (@list @t53)) % 28.11/28.83 (define @t197 () (@var "V_nat_H" $$unsorted)) % 28.11/28.83 (define @t198 () (@var "V_nat_H_1" $$unsorted)) % 28.11/28.83 (define @t199 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t41)) % 28.11/28.83 (define @t200 () (= @t41 @t186)) % 28.11/28.83 (define @t201 () (not @t200)) % 28.11/28.83 (define @t202 () (@list @t41)) % 28.11/28.83 (define @t203 () (= @t38 @t186)) % 28.11/28.83 (define @t204 () (not @t203)) % 28.11/28.83 (define @t205 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t38)) % 28.11/28.83 (define @t206 () (@list @t53 @t19)) % 28.11/28.83 (define @t207 () (= @t40 @t186)) % 28.11/28.83 (define @t208 () (tptp.c_Nat_OSuc @t186)) % 28.11/28.83 (define @t209 () (tptp.c_Nat_OSuc @t8)) % 28.11/28.83 (define @t210 () (@list @t8)) % 28.11/28.83 (define @t211 () (tptp.c_Nat_OSuc @t208)) % 28.11/28.83 (define @t212 () (@list @t47)) % 28.11/28.83 (define @t213 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 28.11/28.83 (define @t214 () (tptp.hAPP @t172 @t153)) % 28.11/28.83 (define @t215 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 28.11/28.83 (define @t216 () (tptp.hAPP @t215 @t214)) % 28.11/28.83 (define @t217 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t153)) % 28.11/28.83 (define @t218 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t154 @t157)) % 28.11/28.83 (define @t219 () (tptp.hAPP @t172 @t53)) % 28.11/28.83 (define @t220 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.hAPP @t172 @t140))) % 28.11/28.83 (define @t221 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 28.11/28.83 (define @t222 () (= @t21 @t193)) % 28.11/28.83 (define @t223 () (@list @t21 @t19)) % 28.11/28.83 (define @t224 () (tptp.hAPP @t172 @t114)) % 28.11/28.83 (define @t225 () (@var "V_w_2" $$unsorted)) % 28.11/28.83 (define @t226 () (@var "V_z_2" $$unsorted)) % 28.11/28.83 (define @t227 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t225 @t226)) % 28.11/28.83 (define @t228 () (@list @t226 @t225)) % 28.11/28.83 (define @t229 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t80)) % 28.11/28.83 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t83)) % 28.11/28.83 (define @t231 () (tptp.class_Groups_Ogroup__add @t19)) % 28.11/28.83 (define @t232 () (= @t96 @t193)) % 28.11/28.83 (define @t233 () (and @t222 @t232)) % 28.11/28.83 (define @t234 () (tptp.c_Groups_Otimes__class_Otimes @t19)) % 28.11/28.83 (define @t235 () (tptp.hAPP @t234 @t21)) % 28.11/28.83 (define @t236 () (tptp.hAPP @t235 @t21)) % 28.11/28.83 (define @t237 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t236 (tptp.hAPP (tptp.hAPP @t234 @t96) @t96))) % 28.11/28.83 (define @t238 () (tptp.class_Rings_Olinordered__ring__strict @t19)) % 28.11/28.83 (define @t239 () (@var "V_w" $$unsorted)) % 28.11/28.83 (define @t240 () (@var "V_z2" $$unsorted)) % 28.11/28.83 (define @t241 () (tptp.hAPP @t215 @t240)) % 28.11/28.83 (define @t242 () (tptp.hAPP @t241 @t239)) % 28.11/28.83 (define @t243 () (@var "V_z1" $$unsorted)) % 28.11/28.83 (define @t244 () (tptp.hAPP @t215 @t243)) % 28.11/28.83 (define @t245 () (tptp.hAPP @t244 @t239)) % 28.11/28.83 (define @t246 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t243 @t240)) % 28.11/28.83 (define @t247 () (@list @t239 @t240 @t243)) % 28.11/28.83 (define @t248 () (@var "V_z3" $$unsorted)) % 28.11/28.83 (define @t249 () (@list @t248 @t240 @t243)) % 28.11/28.83 (define @t250 () (tptp.hAPP @t215 @t72)) % 28.11/28.83 (define @t251 () (tptp.hAPP @t250 @t239)) % 28.11/28.83 (define @t252 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t72)) % 28.11/28.83 (define @t253 () (@list @t239 @t72)) % 28.11/28.83 (define @t254 () (@list @t72)) % 28.11/28.83 (define @t255 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t229 @t80) @t193)) % 28.11/28.83 (define @t256 () (tptp.class_Groups_Oab__group__add @t19)) % 28.11/28.83 (define @t257 () (@list @t80 @t19)) % 28.11/28.83 (define @t258 () (tptp.hAPP @t215 @t239)) % 28.11/28.83 (define @t259 () (tptp.hAPP @t258 @t240)) % 28.11/28.83 (define @t260 () (tptp.hAPP @t258 @t243)) % 28.11/28.83 (define @t261 () (@list @t240 @t243 @t239)) % 28.11/28.83 (define @t262 () (@list @t72 @t48 @t47)) % 28.11/28.83 (define @t263 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t32 @t31)) % 28.11/28.83 (define @t264 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t31)) % 28.11/28.83 (define @t265 () (= @t32 @t264)) % 28.11/28.83 (define @t266 () (@list @t31 @t32 @t19)) % 28.11/28.83 (define @t267 () (tptp.hAPP @t258 @t72)) % 28.11/28.83 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t239 @t72)) % 28.11/28.83 (define @t269 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t239)) % 28.11/28.83 (define @t270 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t239)) % 28.11/28.83 (define @t271 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t221 @t72)) % 28.11/28.83 (define @t272 () (= @t225 @t226)) % 28.11/28.83 (define @t273 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t225 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t226 @t221))) % 28.11/28.83 (define @t274 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t226 @t213)) % 28.11/28.83 (define @t275 () (@list @t226)) % 28.11/28.83 (define @t276 () (tptp.c_Groups_Oone__class_Oone @t19)) % 28.11/28.83 (define @t277 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t276)) % 28.11/28.83 (define @t278 () (tptp.hAPP @t234 @t53)) % 28.11/28.83 (define @t279 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t38)) % 28.11/28.83 (define @t280 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 28.11/28.83 (define @t281 () (tptp.hAPP @t280 @t53)) % 28.11/28.83 (define @t282 () (tptp.hAPP @t281 @t38)) % 28.11/28.83 (define @t283 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 28.11/28.83 (define @t284 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t83)) % 28.11/28.83 (define @t285 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t230)) % 28.11/28.83 (define @t286 () (= (tptp.hAPP (tptp.hAPP @t234 @t276) @t80) @t80)) % 28.11/28.83 (define @t287 () (tptp.class_Groups_Omonoid__mult @t19)) % 28.11/28.83 (define @t288 () (tptp.class_Groups_Ocomm__monoid__mult @t19)) % 28.11/28.83 (define @t289 () (= @t21 @t276)) % 28.11/28.83 (define @t290 () (tptp.hAPP @t234 @t80)) % 28.11/28.83 (define @t291 () (= (tptp.hAPP @t290 @t276) @t80)) % 28.11/28.83 (define @t292 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t32)) % 28.11/28.83 (define @t293 () (= @t32 @t31)) % 28.11/28.83 (define @t294 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t83 @t81)) % 28.11/28.83 (define @t295 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t230 @t81)) % 28.11/28.83 (define @t296 () (= @t295 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t294))) % 28.11/28.83 (define @t297 () (tptp.hAPP @t234 @t83)) % 28.11/28.83 (define @t298 () (tptp.hAPP @t297 @t81)) % 28.11/28.83 (define @t299 () (tptp.hAPP @t290 @t83)) % 28.11/28.83 (define @t300 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t32 @t30)) % 28.11/28.83 (define @t301 () (tptp.class_Groups_Ocancel__semigroup__add @t19)) % 28.11/28.83 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t30 @t32)) % 28.11/28.83 (define @t303 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t31 @t32)) % 28.11/28.83 (define @t304 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t81)) % 28.11/28.83 (define @t305 () (=> (= @t230 @t304) @t84)) % 28.11/28.83 (define @t306 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 @t80)) % 28.11/28.83 (define @t307 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t83 @t80)) % 28.11/28.83 (define @t308 () (@var "V_e" $$unsorted)) % 28.11/28.83 (define @t309 () (tptp.hAPP @t234 @t230)) % 28.11/28.83 (define @t310 () (tptp.hAPP @t234 @t31)) % 28.11/28.83 (define @t311 () (tptp.hAPP @t234 @t32)) % 28.11/28.83 (define @t312 () (tptp.class_Rings_Oidom @t19)) % 28.11/28.83 (define @t313 () (tptp.hAPP @t290 @t81)) % 28.11/28.83 (define @t314 () (= (tptp.hAPP @t309 @t81) (tptp.c_Groups_Oplus__class_Oplus @t19 @t313 @t298))) % 28.11/28.83 (define @t315 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t276)) % 28.11/28.83 (define @t316 () (tptp.class_Rings_Oring__1__no__zero__divisors @t19)) % 28.11/28.83 (define @t317 () (tptp.hAPP @t234 @t229)) % 28.11/28.83 (define @t318 () (tptp.class_Rings_Oring @t19)) % 28.11/28.83 (define @t319 () (tptp.hAPP @t290 @t284)) % 28.11/28.83 (define @t320 () (tptp.hAPP @t317 @t83)) % 28.11/28.83 (define @t321 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t299)) % 28.11/28.83 (define @t322 () (@list @t32 @t19)) % 28.11/28.83 (define @t323 () (= @t32 @t193)) % 28.11/28.83 (define @t324 () (tptp.class_Groups_Olinordered__ab__group__add @t19)) % 28.11/28.83 (define @t325 () (tptp.hAPP @t215 @t153)) % 28.11/28.83 (define @t326 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t153)) % 28.11/28.83 (define @t327 () (tptp.c_Orderings_Oord__class_Oless @t19 @t32 @t31)) % 28.11/28.83 (define @t328 () (tptp.class_Groups_Oordered__ab__group__add @t19)) % 28.11/28.83 (define @t329 () (@list @t32 @t31 @t19)) % 28.11/28.83 (define @t330 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t193 @t80) @t80)) % 28.11/28.83 (define @t331 () (tptp.class_Groups_Omonoid__add @t19)) % 28.11/28.83 (define @t332 () (tptp.class_Groups_Ocomm__monoid__add @t19)) % 28.11/28.83 (define @t333 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t32 @t32)) % 28.11/28.83 (define @t334 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t193) @t80)) % 28.11/28.83 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 @t83)) % 28.11/28.83 (define @t336 () (tptp.c_Orderings_Oord__class_Oless @t19 @t306 @t335)) % 28.11/28.83 (define @t337 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t19)) % 28.11/28.83 (define @t338 () (@list @t83 @t80 @t81 @t19)) % 28.11/28.83 (define @t339 () (tptp.c_Orderings_Oord__class_Oless @t19 @t304 @t294)) % 28.11/28.83 (define @t340 () (@list @t83 @t81 @t80 @t19)) % 28.11/28.83 (define @t341 () (@var "V_d" $$unsorted)) % 28.11/28.83 (define @t342 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t83 @t341)) % 28.11/28.83 (define @t343 () (tptp.c_Orderings_Oord__class_Oless @t19 @t304 @t342)) % 28.11/28.83 (define @t344 () (tptp.c_Orderings_Oord__class_Oless @t19 @t81 @t341)) % 28.11/28.83 (define @t345 () (=> @t344 @t343)) % 28.11/28.83 (define @t346 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t19)) % 28.11/28.83 (define @t347 () (@list @t341 @t81 @t83 @t80 @t19)) % 28.11/28.83 (define @t348 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t30 @t31)) % 28.11/28.83 (define @t349 () (@list @t31 @t32 @t30 @t19)) % 28.11/28.83 (define @t350 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t31 @t30)) % 28.11/28.83 (define @t351 () (@list @t31 @t30 @t32 @t19)) % 28.11/28.83 (define @t352 () (tptp.hAPP @t234 @t48)) % 28.11/28.83 (define @t353 () (tptp.hAPP @t234 @t47)) % 28.11/28.83 (define @t354 () (tptp.hAPP @t353 @t47)) % 28.11/28.83 (define @t355 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t354 (tptp.hAPP @t352 @t48))) % 28.11/28.83 (define @t356 () (tptp.class_Rings_Olinordered__ring @t19)) % 28.11/28.83 (define @t357 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t276 @t276)) % 28.11/28.83 (define @t358 () (= @t83 @t193)) % 28.11/28.83 (define @t359 () (= @t80 @t193)) % 28.11/28.83 (define @t360 () (= @t299 @t193)) % 28.11/28.83 (define @t361 () (tptp.class_Rings_Ono__zero__divisors @t19)) % 28.11/28.83 (define @t362 () (not @t358)) % 28.11/28.83 (define @t363 () (not @t359)) % 28.11/28.83 (define @t364 () (tptp.hAPP @t311 @t31)) % 28.11/28.83 (define @t365 () (= (tptp.hAPP @t290 @t193) @t193)) % 28.11/28.83 (define @t366 () (tptp.class_Rings_Omult__zero @t19)) % 28.11/28.83 (define @t367 () (tptp.hAPP @t234 @t193)) % 28.11/28.83 (define @t368 () (= (tptp.hAPP @t367 @t80) @t193)) % 28.11/28.83 (define @t369 () (tptp.class_Rings_Ozero__neq__one @t19)) % 28.11/28.83 (define @t370 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t32)) % 28.11/28.83 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t19 @t32 @t193)) % 28.11/28.83 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t19 @t230 @t193)) % 28.11/28.83 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t19 @t83 @t193)) % 28.11/28.83 (define @t374 () (=> @t373 @t372)) % 28.11/28.83 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t19 @t80 @t193)) % 28.11/28.83 (define @t376 () (tptp.class_Groups_Oordered__comm__monoid__add @t19)) % 28.11/28.83 (define @t377 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t230)) % 28.11/28.83 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t83)) % 28.11/28.83 (define @t379 () (=> @t378 @t377)) % 28.11/28.83 (define @t380 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t80)) % 28.11/28.83 (define @t381 () (= (tptp.c_Orderings_Oord__class_Oless @t19 @t333 @t193) @t371)) % 28.11/28.83 (define @t382 () (tptp.c_Orderings_Oord__class_Oless @t19 @t83 @t304)) % 28.11/28.83 (define @t383 () (=> @t92 @t382)) % 28.11/28.83 (define @t384 () (tptp.hAPP @t234 @t81)) % 28.11/28.83 (define @t385 () (tptp.hAPP @t384 @t83)) % 28.11/28.83 (define @t386 () (tptp.hAPP @t384 @t80)) % 28.11/28.83 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t19 @t386 @t385)) % 28.11/28.83 (define @t388 () (tptp.c_Orderings_Oord__class_Oless @t19 @t81 @t193)) % 28.11/28.83 (define @t389 () (tptp.c_Orderings_Oord__class_Oless @t19 @t313 @t298)) % 28.11/28.83 (define @t390 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t81)) % 28.11/28.83 (define @t391 () (=> @t88 (=> @t390 @t387))) % 28.11/28.83 (define @t392 () (tptp.class_Rings_Olinordered__semiring__strict @t19)) % 28.11/28.83 (define @t393 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t299)) % 28.11/28.83 (define @t394 () (tptp.c_Orderings_Oord__class_Oless @t19 @t299 @t193)) % 28.11/28.83 (define @t395 () (tptp.c_Orderings_Oord__class_Oless @t19 @t31 @t32)) % 28.11/28.83 (define @t396 () (tptp.hAPP @t234 @t30)) % 28.11/28.83 (define @t397 () (tptp.hAPP @t396 @t31)) % 28.11/28.83 (define @t398 () (tptp.hAPP @t396 @t32)) % 28.11/28.83 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t19 @t398 @t397)) % 28.11/28.83 (define @t400 () (tptp.c_Orderings_Oord__class_Oless @t19 @t30 @t193)) % 28.11/28.83 (define @t401 () (=> @t380 @t378)) % 28.11/28.83 (define @t402 () (tptp.hAPP @t297 @t80)) % 28.11/28.83 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t30)) % 28.11/28.83 (define @t404 () (or (and @t403 @t327) (and @t400 @t395))) % 28.11/28.83 (define @t405 () (tptp.hAPP @t310 @t30)) % 28.11/28.83 (define @t406 () (tptp.hAPP @t311 @t30)) % 28.11/28.83 (define @t407 () (tptp.hAPP @t290 @t80)) % 28.11/28.83 (define @t408 () (and @t200 @t207)) % 28.11/28.83 (define @t409 () (tptp.hAPP @t172 @t38)) % 28.11/28.83 (define @t410 () (tptp.hAPP @t172 @t186)) % 28.11/28.83 (define @t411 () (@list @t153)) % 28.11/28.83 (define @t412 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t47)) % 28.11/28.83 (define @t413 () (tptp.class_Rings_Ocomm__ring__1 @t19)) % 28.11/28.83 (define @t414 () (tptp.class_Rings_Ocomm__semiring__1 @t19)) % 28.11/28.83 (define @t415 () (tptp.hAPP (tptp.hAPP @t234 @t277) @t53)) % 28.11/28.83 (define @t416 () (tptp.hAPP @t290 @t53)) % 28.11/28.83 (define @t417 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t21)) % 28.11/28.83 (define @t418 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t21 @t96) @t193)) % 28.11/28.83 (define @t419 () (@var "V_r" $$unsorted)) % 28.11/28.83 (define @t420 () (tptp.hAPP @t234 @t419)) % 28.11/28.83 (define @t421 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t19)) % 28.11/28.83 (define @t422 () (tptp.class_RealVector_Oreal__normed__algebra @t19)) % 28.11/28.83 (define @t423 () (@var "V_xa" $$unsorted)) % 28.11/28.83 (define @t424 () (tptp.hAPP @t234 @t423)) % 28.11/28.83 (define @t425 () (tptp.hAPP @t424 @t47)) % 28.11/28.83 (define @t426 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t283)) % 28.11/28.83 (define @t427 () (= @t53 @t186)) % 28.11/28.83 (define @t428 () (@var "V_k_2" $$unsorted)) % 28.11/28.83 (define @t429 () (@list @t41 @t428 @t40)) % 28.11/28.83 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t41)) % 28.11/28.83 (define @t431 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t40)) % 28.11/28.83 (define @t432 () (@list @t41 @t40 @t428)) % 28.11/28.83 (define @t433 () (tptp.hAPP @t280 @t38)) % 28.11/28.83 (define @t434 () (tptp.hAPP @t433 @t153)) % 28.11/28.83 (define @t435 () (tptp.hAPP @t281 @t153)) % 28.11/28.83 (define @t436 () (@list @t153 @t38 @t53)) % 28.11/28.83 (define @t437 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t153)) % 28.11/28.83 (define @t438 () (and (= @t40 @t283) (= @t41 @t283))) % 28.11/28.83 (define @t439 () (tptp.hAPP @t280 @t40)) % 28.11/28.83 (define @t440 () (tptp.hAPP @t439 @t41)) % 28.11/28.83 (define @t441 () (tptp.hAPP @t280 @t153)) % 28.11/28.83 (define @t442 () (tptp.hAPP @t441 @t38)) % 28.11/28.83 (define @t443 () (tptp.hAPP @t441 @t53)) % 28.11/28.83 (define @t444 () (@list @t38 @t53 @t153)) % 28.11/28.83 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t48 @t72)) % 28.11/28.83 (define @t446 () (tptp.hAPP @t433 @t53)) % 28.11/28.83 (define @t447 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t53)) % 28.11/28.83 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t41)) % 28.11/28.83 (define @t449 () (= @t428 @t186)) % 28.11/28.83 (define @t450 () (or @t44 @t449)) % 28.11/28.83 (define @t451 () (tptp.hAPP @t280 @t428)) % 28.11/28.83 (define @t452 () (tptp.hAPP @t451 @t41)) % 28.11/28.83 (define @t453 () (tptp.hAPP @t451 @t40)) % 28.11/28.83 (define @t454 () (= @t453 @t452)) % 28.11/28.83 (define @t455 () (tptp.hAPP @t280 @t41)) % 28.11/28.83 (define @t456 () (tptp.hAPP @t455 @t428)) % 28.11/28.83 (define @t457 () (tptp.hAPP @t439 @t428)) % 28.11/28.83 (define @t458 () (tptp.c_Nat_OSuc @t279)) % 28.11/28.83 (define @t459 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t140)) % 28.11/28.83 (define @t460 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t141 @t38)) % 28.11/28.83 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t157)) % 28.11/28.83 (define @t462 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t154)) % 28.11/28.83 (define @t463 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t53)) % 28.11/28.83 (define @t464 () (@list @t53 @t157 @t154)) % 28.11/28.83 (define @t465 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t157)) % 28.11/28.83 (define @t466 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t47 @t445)) % 28.11/28.83 (define @t467 () (@list @t48 @t72 @t47)) % 28.11/28.83 (define @t468 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t153)) % 28.11/28.83 (define @t469 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t153)) % 28.11/28.83 (define @t470 () (@var "V_l" $$unsorted)) % 28.11/28.83 (define @t471 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t470)) % 28.11/28.83 (define @t472 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t153 @t470)) % 28.11/28.83 (define @t473 () (@list @t470 @t153 @t157 @t154)) % 28.11/28.83 (define @t474 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t153 @t38)) % 28.11/28.83 (define @t475 () (tptp.hAPP @t280 (tptp.c_Nat_OSuc @t428))) % 28.11/28.83 (define @t476 () (tptp.hAPP @t475 @t41)) % 28.11/28.83 (define @t477 () (tptp.hAPP @t475 @t40)) % 28.11/28.83 (define @t478 () (tptp.hAPP (tptp.hAPP @t179 @t40) @t2)) % 28.11/28.83 (define @t479 () (= @t41 @t208)) % 28.11/28.83 (define @t480 () (= @t40 @t208)) % 28.11/28.83 (define @t481 () (or (and @t480 @t200) (and @t207 @t479))) % 28.11/28.83 (define @t482 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t40)) % 28.11/28.83 (define @t483 () (@var "B_k" $$unsorted)) % 28.11/28.83 (define @t484 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t483)) % 28.11/28.83 (define @t485 () (@list @t483)) % 28.11/28.83 (define @t486 () (@list @t53 @t154)) % 28.11/28.83 (define @t487 () (tptp.hAPP @t441 @t157)) % 28.11/28.83 (define @t488 () (tptp.hAPP @t441 @t154)) % 28.11/28.83 (define @t489 () (tptp.hAPP @t280 @t157)) % 28.11/28.83 (define @t490 () (tptp.hAPP @t489 @t153)) % 28.11/28.83 (define @t491 () (tptp.hAPP @t280 @t154)) % 28.11/28.83 (define @t492 () (tptp.hAPP @t491 @t153)) % 28.11/28.83 (define @t493 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t428)) % 28.11/28.83 (define @t494 () (and @t493 @t43)) % 28.11/28.83 (define @t495 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t452)) % 28.11/28.83 (define @t496 () (tptp.hAPP @t172 @t279)) % 28.11/28.83 (define @t497 () (tptp.hAPP @t172 @t48)) % 28.11/28.83 (define @t498 () (tptp.hAPP @t172 @t47)) % 28.11/28.83 (define @t499 () (tptp.hAPP (tptp.hAPP @t215 @t219) @t409)) % 28.11/28.83 (define @t500 () (tptp.hAPP @t172 @t282)) % 28.11/28.83 (define @t501 () (tptp.hAPP @t172 @t283)) % 28.11/28.83 (define @t502 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t208 @t53)) % 28.11/28.83 (define @t503 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t208 @t38)) % 28.11/28.83 (define @t504 () (@var "V_ry" $$unsorted)) % 28.11/28.83 (define @t505 () (@var "V_ly" $$unsorted)) % 28.11/28.83 (define @t506 () (tptp.hAPP @t234 @t505)) % 28.11/28.83 (define @t507 () (@var "V_rx" $$unsorted)) % 28.11/28.83 (define @t508 () (@var "V_lx" $$unsorted)) % 28.11/28.83 (define @t509 () (tptp.hAPP @t234 @t508)) % 28.11/28.83 (define @t510 () (tptp.hAPP @t234 (tptp.hAPP @t509 @t507))) % 28.11/28.83 (define @t511 () (tptp.hAPP @t234 @t507)) % 28.11/28.83 (define @t512 () (tptp.hAPP @t511 @t504)) % 28.11/28.83 (define @t513 () (tptp.hAPP @t234 (tptp.hAPP @t509 @t505))) % 28.11/28.83 (define @t514 () (tptp.hAPP @t513 @t512)) % 28.11/28.83 (define @t515 () (@list @t504 @t507 @t505 @t508 @t19)) % 28.11/28.83 (define @t516 () (tptp.hAPP @t513 @t507)) % 28.11/28.83 (define @t517 () (@list @t507 @t505 @t508 @t19)) % 28.11/28.83 (define @t518 () (tptp.hAPP @t509 @t512)) % 28.11/28.83 (define @t519 () (@list @t504 @t507 @t508 @t19)) % 28.11/28.83 (define @t520 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 @t341)) % 28.11/28.83 (define @t521 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t520)) % 28.11/28.83 (define @t522 () (@list @t341 @t81 @t80 @t19)) % 28.11/28.83 (define @t523 () (tptp.hAPP @t234 @t225)) % 28.11/28.83 (define @t524 () (@var "V_ya" $$unsorted)) % 28.11/28.83 (define @t525 () (tptp.hAPP @t352 @t524)) % 28.11/28.83 (define @t526 () (tptp.hAPP @t353 @t524)) % 28.11/28.83 (define @t527 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t47 @t48)) % 28.11/28.83 (define @t528 () (@list @t524 @t48 @t47 @t19)) % 28.11/28.83 (define @t529 () (@var "V_a_H" $$unsorted)) % 28.11/28.83 (define @t530 () (tptp.hAPP (tptp.hAPP @t234 @t529) @t83)) % 28.11/28.83 (define @t531 () (@list @t83 @t529 @t80 @t19)) % 28.11/28.83 (define @t532 () (= @t30 @t35)) % 28.11/28.83 (define @t533 () (@list @t35 @t30 @t31 @t32 @t19)) % 28.11/28.83 (define @t534 () (tptp.hAPP @t424 @t48)) % 28.11/28.83 (define @t535 () (@list @t48 @t47 @t423 @t19)) % 28.11/28.83 (define @t536 () (tptp.hAPP @t353 @t48)) % 28.11/28.83 (define @t537 () (@var "V_b_H" $$unsorted)) % 28.11/28.83 (define @t538 () (tptp.hAPP @t290 @t537)) % 28.11/28.83 (define @t539 () (@list @t537 @t83 @t80 @t19)) % 28.11/28.83 (define @t540 () (@var "V_u" $$unsorted)) % 28.11/28.83 (define @t541 () (tptp.hAPP @t489 @t540)) % 28.11/28.83 (define @t542 () (tptp.hAPP @t491 @t540)) % 28.11/28.83 (define @t543 () (tptp.hAPP @t172 @t7)) % 28.11/28.83 (define @t544 () (@var "V_v" $$unsorted)) % 28.11/28.83 (define @t545 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t234 @t540) @t47) (tptp.hAPP (tptp.hAPP @t234 @t544) @t48))) % 28.11/28.83 (define @t546 () (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t540 @t544) @t276)) % 28.11/28.83 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t193)) % 28.11/28.83 (define @t548 () (tptp.hBOOL (tptp.hAPP @t547 @t544))) % 28.11/28.83 (define @t549 () (tptp.hBOOL (tptp.hAPP @t547 @t540))) % 28.11/28.83 (define @t550 () (@list @t544 @t540 @t48 @t80 @t47 @t19)) % 28.11/28.83 (define @t551 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 28.11/28.83 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t551)) % 28.11/28.83 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t47)) % 28.11/28.83 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186)) % 28.11/28.83 (define @t555 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t409)) % 28.11/28.83 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t555)) % 28.11/28.83 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40)) % 28.11/28.83 (define @t558 () (tptp.hBOOL (tptp.hAPP @t557 @t41))) % 28.11/28.83 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t48)) % 28.11/28.83 (define @t560 () (tptp.hBOOL (tptp.hAPP @t559 @t47))) % 28.11/28.83 (define @t561 () (tptp.hBOOL (tptp.hAPP @t553 @t48))) % 28.11/28.83 (define @t562 () (tptp.c_Orderings_Oord__class_Oless__eq @t17 @t118)) % 28.11/28.83 (define @t563 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t195 @t2) @t1))) % 28.11/28.83 (define @t564 () (tptp.class_Orderings_Oord @t17)) % 28.11/28.83 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t72)) % 28.11/28.83 (define @t566 () (tptp.hBOOL (tptp.hAPP @t565 @t48))) % 28.11/28.83 (define @t567 () (@list @t47 @t48 @t19)) % 28.11/28.83 (define @t568 () (tptp.hBOOL (tptp.hAPP @t559 @t72))) % 28.11/28.83 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t81)) % 28.11/28.83 (define @t570 () (tptp.hBOOL (tptp.hAPP @t569 @t80))) % 28.11/28.83 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t83)) % 28.11/28.83 (define @t572 () (tptp.hBOOL (tptp.hAPP @t571 @t80))) % 28.11/28.83 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t80)) % 28.11/28.83 (define @t574 () (tptp.hBOOL (tptp.hAPP @t573 @t81))) % 28.11/28.83 (define @t575 () (tptp.hBOOL (tptp.hAPP @t573 @t83))) % 28.11/28.83 (define @t576 () (tptp.hBOOL (tptp.hAPP @t571 @t81))) % 28.11/28.83 (define @t577 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t21) @t96))) % 28.11/28.83 (define @t578 () (= @t577 @t99)) % 28.11/28.83 (define @t579 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t96) @t21))) % 28.11/28.83 (define @t580 () (@list @t1 @t2 @t19 @t17)) % 28.11/28.83 (define @t581 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21) @t96))) % 28.11/28.83 (define @t582 () (not @t91)) % 28.11/28.83 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t32)) % 28.11/28.83 (define @t584 () (tptp.hBOOL (tptp.hAPP @t583 @t31))) % 28.11/28.83 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t304)) % 28.11/28.83 (define @t586 () (tptp.hBOOL (tptp.hAPP @t585 @t294))) % 28.11/28.83 (define @t587 () (tptp.class_Groups_Oordered__ab__semigroup__add @t19)) % 28.11/28.83 (define @t588 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t306) @t335))) % 28.11/28.83 (define @t589 () (tptp.hBOOL (tptp.hAPP @t569 @t341))) % 28.11/28.83 (define @t590 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t31)) % 28.11/28.83 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t264)) % 28.11/28.83 (define @t592 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t292)) % 28.11/28.83 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t41)) % 28.11/28.83 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t213)) % 28.11/28.83 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53)) % 28.11/28.83 (define @t596 () (tptp.hBOOL (tptp.hAPP @t595 @t38))) % 28.11/28.83 (define @t597 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t141) @t38))) % 28.11/28.83 (define @t598 () (tptp.hBOOL (tptp.hAPP @t595 @t140))) % 28.11/28.83 (define @t599 () (tptp.hBOOL (tptp.hAPP @t593 @t40))) % 28.11/28.83 (define @t600 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t166)) % 28.11/28.83 (define @t601 () (tptp.hBOOL (tptp.hAPP @t600 @t40))) % 28.11/28.83 (define @t602 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t47)) % 28.11/28.83 (define @t603 () (tptp.hBOOL (tptp.hAPP @t602 @t48))) % 28.11/28.83 (define @t604 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38)) % 28.11/28.83 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154)) % 28.11/28.83 (define @t606 () (tptp.hBOOL (tptp.hAPP @t605 @t157))) % 28.11/28.83 (define @t607 () (tptp.hBOOL (tptp.hAPP @t602 @t445))) % 28.11/28.83 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t469)) % 28.11/28.83 (define @t609 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t153)) % 28.11/28.83 (define @t610 () (tptp.hBOOL (tptp.hAPP @t609 @t470))) % 28.11/28.83 (define @t611 () (tptp.hBOOL (tptp.hAPP @t609 @t38))) % 28.11/28.83 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t153)) % 28.11/28.83 (define @t613 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612) @t38))) % 28.11/28.83 (define @t614 () (@list @t38 @t153 @t53)) % 28.11/28.83 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t226)) % 28.11/28.83 (define @t616 () (@list @t225 @t226)) % 28.11/28.83 (define @t617 () (tptp.hAPP @t281 @t53)) % 28.11/28.83 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t492)) % 28.11/28.83 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t154)) % 28.11/28.83 (define @t620 () (tptp.hBOOL (tptp.hAPP @t619 @t157))) % 28.11/28.83 (define @t621 () (tptp.hBOOL (tptp.hAPP @t590 @t193))) % 28.11/28.83 (define @t622 () (tptp.hBOOL (tptp.hAPP @t583 @t193))) % 28.11/28.83 (define @t623 () (tptp.hBOOL (tptp.hAPP @t547 @t31))) % 28.11/28.83 (define @t624 () (tptp.hBOOL (tptp.hAPP @t547 @t32))) % 28.11/28.83 (define @t625 () (tptp.hBOOL (tptp.hAPP @t547 @t299))) % 28.11/28.83 (define @t626 () (tptp.hBOOL (tptp.hAPP @t547 @t83))) % 28.11/28.83 (define @t627 () (tptp.hBOOL (tptp.hAPP @t547 @t80))) % 28.11/28.83 (define @t628 () (tptp.class_Rings_Oordered__cancel__semiring @t19)) % 28.11/28.83 (define @t629 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t299) @t193))) % 28.11/28.83 (define @t630 () (tptp.hBOOL (tptp.hAPP @t571 @t193))) % 28.11/28.83 (define @t631 () (tptp.hBOOL (tptp.hAPP @t573 @t193))) % 28.11/28.83 (define @t632 () (tptp.class_Rings_Oordered__ring @t19)) % 28.11/28.83 (define @t633 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t313)) % 28.11/28.83 (define @t634 () (tptp.hBOOL (tptp.hAPP @t633 @t298))) % 28.11/28.83 (define @t635 () (tptp.hBOOL (tptp.hAPP @t547 @t81))) % 28.11/28.83 (define @t636 () (tptp.class_Rings_Oordered__semiring @t19)) % 28.11/28.83 (define @t637 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t386) @t385))) % 28.11/28.83 (define @t638 () (=> @t575 (=> @t635 @t637))) % 28.11/28.83 (define @t639 () (tptp.hBOOL (tptp.hAPP @t569 @t193))) % 28.11/28.83 (define @t640 () (tptp.hAPP @t297 @t341)) % 28.11/28.83 (define @t641 () (=> @t635 (tptp.hBOOL (tptp.hAPP @t633 @t640)))) % 28.11/28.83 (define @t642 () (tptp.hBOOL (tptp.hAPP @t571 @t304))) % 28.11/28.83 (define @t643 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t276)) % 28.11/28.83 (define @t644 () (@list @t38 @t19)) % 28.11/28.83 (define @t645 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t453) @t452))) % 28.11/28.83 (define @t646 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t47 @t48)) % 28.11/28.83 (define @t647 () (tptp.hBOOL (tptp.hAPP @t594 @t48))) % 28.11/28.83 (define @t648 () (tptp.hBOOL (tptp.hAPP @t594 @t47))) % 28.11/28.83 (define @t649 () (tptp.hAPP (tptp.hAPP @t215 @t47) @t48)) % 28.11/28.83 (define @t650 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t172 @t3)))) % 28.11/28.83 (define @t651 () (tptp.hBOOL (tptp.hAPP @t60 @t3))) % 28.11/28.83 (define @t652 () (tptp.hBOOL (tptp.hAPP @t594 @t3))) % 28.11/28.83 (define @t653 () (@list @t60)) % 28.11/28.83 (define @t654 () (@var "V_z_H" $$unsorted)) % 28.11/28.83 (define @t655 () (@var "V_w_H" $$unsorted)) % 28.11/28.83 (define @t656 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t654) @t72))) % 28.11/28.83 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t225)) % 28.11/28.83 (define @t658 () (tptp.hBOOL (tptp.hAPP @t657 @t226))) % 28.11/28.83 (define @t659 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t398) @t397))) % 28.11/28.83 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t19 @t313 @t640)) % 28.11/28.83 (define @t661 () (=> @t635 @t660)) % 28.11/28.83 (define @t662 () (=> @t635 @t88)) % 28.11/28.83 (define @t663 () (=> @t389 @t662)) % 28.11/28.83 (define @t664 () (tptp.class_Rings_Olinordered__semiring @t19)) % 28.11/28.83 (define @t665 () (=> @t387 @t662)) % 28.11/28.83 (define @t666 () (=> @t390 @t575)) % 28.11/28.83 (define @t667 () (tptp.hBOOL (tptp.hAPP @t559 @t276))) % 28.11/28.83 (define @t668 () (tptp.hBOOL (tptp.hAPP @t547 @t48))) % 28.11/28.83 (define @t669 () (tptp.hBOOL (tptp.hAPP @t547 @t47))) % 28.11/28.83 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t208)) % 28.11/28.83 (define @t671 () (=> @t493 @t558)) % 28.11/28.83 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t173)) % 28.11/28.83 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t226)) % 28.11/28.83 (define @t674 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t221)) % 28.11/28.83 (define @t675 () (tptp.hBOOL (tptp.hAPP @t594 @t72))) % 28.11/28.83 (define @t676 () (@var "V_q" $$unsorted)) % 28.11/28.83 (define @t677 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t676)) % 28.11/28.83 (define @t678 () (tptp.hBOOL (tptp.hAPP @t594 @t419))) % 28.11/28.83 (define @t679 () (= @t80 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t419 (tptp.hAPP (tptp.hAPP @t215 @t80) @t676)))) % 28.11/28.83 (define @t680 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t80)) % 28.11/28.83 (define @t681 () (@list @t676 @t419 @t80)) % 28.11/28.83 (define @t682 () (@var "V_q_H" $$unsorted)) % 28.11/28.83 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t537)) % 28.11/28.83 (define @t684 () (@var "V_r_H" $$unsorted)) % 28.11/28.83 (define @t685 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t684 @t537)) % 28.11/28.83 (define @t686 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t215 @t537) @t682) @t684)) % 28.11/28.83 (define @t687 () (tptp.hBOOL (tptp.hAPP @t594 @t686))) % 28.11/28.83 (define @t688 () (@list @t684 @t682 @t537)) % 28.11/28.83 (define @t689 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t682)) % 28.11/28.83 (define @t690 () (tptp.hBOOL (tptp.hAPP @t594 @t684))) % 28.11/28.83 (define @t691 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t686 @t213)) % 28.11/28.83 (define @t692 () (tptp.hBOOL (tptp.hAPP @t689 @t676))) % 28.11/28.83 (define @t693 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t419 @t83)) % 28.11/28.83 (define @t694 () (tptp.hAPP @t215 @t83)) % 28.11/28.83 (define @t695 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t694 @t676) @t419)) % 28.11/28.83 (define @t696 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t694 @t682) @t684)) @t695))) % 28.11/28.83 (define @t697 () (@list @t419 @t676 @t684 @t682 @t83)) % 28.11/28.83 (define @t698 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t21)) % 28.11/28.83 (define @t699 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 @t96)) % 28.11/28.83 (define @t700 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t21)) % 28.11/28.83 (define @t701 () (tptp.hBOOL (tptp.hAPP @t700 @t96))) % 28.11/28.83 (define @t702 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 28.11/28.83 (define @t703 () (tptp.hAPP @t702 @t96)) % 28.11/28.83 (define @t704 () (tptp.hAPP @t703 @t226)) % 28.11/28.83 (define @t705 () (tptp.hAPP @t702 @t21)) % 28.11/28.83 (define @t706 () (tptp.hAPP @t705 @t226)) % 28.11/28.83 (define @t707 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t226)) % 28.11/28.83 (define @t708 () (@list @t96 @t21 @t226)) % 28.11/28.83 (define @t709 () (tptp.hAPP @t702 @t226)) % 28.11/28.83 (define @t710 () (tptp.hAPP @t702 @t47)) % 28.11/28.83 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t47)) % 28.11/28.83 (define @t712 () (tptp.hBOOL (tptp.hAPP @t711 @t48))) % 28.11/28.83 (define @t713 () (= @t72 @t239)) % 28.11/28.83 (define @t714 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t239)) % 28.11/28.83 (define @t715 () (tptp.hBOOL (tptp.hAPP @t714 @t72))) % 28.11/28.83 (define @t716 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72) @t239))) % 28.11/28.83 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t154)) % 28.11/28.83 (define @t718 () (@list @t239)) % 28.11/28.83 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t96)) % 28.11/28.83 (define @t720 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t239)) % 28.11/28.83 (define @t721 () (tptp.hBOOL (tptp.hAPP @t720 @t72))) % 28.11/28.83 (define @t722 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t72)) % 28.11/28.83 (define @t723 () (tptp.hBOOL (tptp.hAPP @t722 @t239))) % 28.11/28.83 (define @t724 () (tptp.hBOOL (tptp.hAPP @t604 @t53))) % 28.11/28.83 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157)) % 28.11/28.83 (define @t726 () (tptp.hAPP @t702 @t72)) % 28.11/28.83 (define @t727 () (tptp.hAPP @t710 @t48)) % 28.11/28.83 (define @t728 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t48)) % 28.11/28.83 (define @t729 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t47)) % 28.11/28.83 (define @t730 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 28.11/28.83 (define @t731 () (@list @t32 @t21)) % 28.11/28.83 (define @t732 () (= @t21 @t551)) % 28.11/28.83 (define @t733 () (tptp.hAPP @t705 @t21)) % 28.11/28.83 (define @t734 () (not (= @t30 @t551))) % 28.11/28.83 (define @t735 () (@list @t31 @t32 @t30)) % 28.11/28.83 (define @t736 () (tptp.hAPP @t702 @t30)) % 28.11/28.83 (define @t737 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t537) @t83))) % 28.11/28.83 (define @t738 () (= @t695 @t686)) % 28.11/28.83 (define @t739 () (@list @t684 @t682 @t537 @t419 @t676 @t83)) % 28.11/28.83 (define @t740 () (tptp.hBOOL (tptp.hAPP @t677 @t682))) % 28.11/28.83 (define @t741 () (@var "V_l_2" $$unsorted)) % 28.11/28.83 (define @t742 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t428)) % 28.11/28.83 (define @t743 () (@list @t741 @t428)) % 28.11/28.83 (define @t744 () (tptp.hAPP @t106 @t8)) % 28.11/28.83 (define @t745 () (tptp.hAPP @t106 @t7)) % 28.11/28.83 (define @t746 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8) @t7))) % 28.11/28.83 (define @t747 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t48)) % 28.11/28.83 (define @t748 () (tptp.class_Lattices_Oboolean__algebra @t19)) % 28.11/28.83 (define @t749 () (tptp.hAPP @t702 @t240)) % 28.11/28.83 (define @t750 () (tptp.hAPP @t702 @t243)) % 28.11/28.83 (define @t751 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t19)) % 28.11/28.83 (define @t752 () (@var "V_A_2" $$unsorted)) % 28.11/28.83 (define @t753 () (tptp.hAPP @t752 @t21)) % 28.11/28.83 (define @t754 () (tptp.tc_fun @t17 @t19)) % 28.11/28.83 (define @t755 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t96)) % 28.11/28.83 (define @t756 () (@list @t21)) % 28.11/28.83 (define @t757 () (@var "B_i" $$unsorted)) % 28.11/28.83 (define @t758 () (tptp.hBOOL (tptp.hAPP @t60 @t757))) % 28.11/28.83 (define @t759 () (@list @t757)) % 28.11/28.83 (define @t760 () (tptp.hBOOL (tptp.hAPP @t60 @t186))) % 28.11/28.83 (define @t761 () (not @t760)) % 28.11/28.83 (define @t762 () (tptp.c_RComplete_Onatceiling @t47)) % 28.11/28.83 (define @t763 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t47 @t730)) % 28.11/28.83 (define @t764 () (tptp.hBOOL (tptp.hAPP @t552 @t47))) % 28.11/28.83 (define @t765 () (tptp.c_RComplete_Onatfloor @t47)) % 28.11/28.83 (define @t766 () (tptp.hAPP tptp.c_Int_Onat (tptp.hAPP @t250 @t654))) % 28.11/28.83 (define @t767 () (tptp.hBOOL (tptp.hAPP @t722 @t213))) % 28.11/28.83 (define @t768 () (@list @t654 @t72)) % 28.11/28.83 (define @t769 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t762)) % 28.11/28.83 (define @t770 () (tptp.hAPP tptp.c_Int_Onat @t213)) % 28.11/28.83 (define @t771 () (@var "V_z_H_2" $$unsorted)) % 28.11/28.83 (define @t772 () (tptp.hAPP tptp.c_Int_Onat @t226)) % 28.11/28.83 (define @t773 () (tptp.hBOOL (tptp.hAPP @t594 @t226))) % 28.11/28.83 (define @t774 () (tptp.hAPP tptp.c_Int_Onat @t96)) % 28.11/28.83 (define @t775 () (tptp.hAPP tptp.c_Int_Onat @t21)) % 28.11/28.83 (define @t776 () (tptp.hBOOL (tptp.hAPP @t594 @t96))) % 28.11/28.83 (define @t777 () (tptp.hBOOL (tptp.hAPP @t594 @t21))) % 28.11/28.83 (define @t778 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP tptp.c_Int_Onat @t3)))) % 28.11/28.83 (define @t779 () (@var "B_x1" $$unsorted)) % 28.11/28.83 (define @t780 () (tptp.hBOOL (tptp.hAPP @t60 @t779))) % 28.11/28.83 (define @t781 () (@list @t779)) % 28.11/28.83 (define @t782 () (tptp.hAPP tptp.c_Int_Onat @t221)) % 28.11/28.83 (define @t783 () (tptp.hBOOL (tptp.hAPP @t711 @t551))) % 28.11/28.83 (define @t784 () (tptp.hAPP tptp.c_Int_Onat @t72)) % 28.11/28.83 (define @t785 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183) @t213))) % 28.11/28.83 (define @t786 () (tptp.hAPP tptp.c_Int_Onat @t183)) % 28.11/28.83 (define @t787 () (tptp.hAPP tptp.c_Int_Onat @t225)) % 28.11/28.83 (define @t788 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t787 @t772)) % 28.11/28.83 (define @t789 () (= @t788 @t227)) % 28.11/28.83 (define @t790 () (tptp.hAPP @t172 @t784)) % 28.11/28.83 (define @t791 () (=> @t675 (= @t790 @t72))) % 28.11/28.83 (define @t792 () (@list @t226 @t40)) % 28.11/28.83 (define @t793 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t730)) % 28.11/28.83 (define @t794 () (tptp.hBOOL (tptp.hAPP @t793 @t21))) % 28.11/28.83 (define @t795 () (tptp.c_RComplete_Onatfloor @t21)) % 28.11/28.83 (define @t796 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t21))) % 28.11/28.83 (define @t797 () (tptp.hBOOL (tptp.hAPP @t594 @t225))) % 28.11/28.83 (define @t798 () (and (=> @t797 (= @t225 @t174)) (=> (not @t797) @t207))) % 28.11/28.83 (define @t799 () (@list @t40 @t225)) % 28.11/28.83 (define @t800 () (tptp.hAPP tptp.c_Int_Onat @t48)) % 28.11/28.83 (define @t801 () (tptp.hAPP tptp.c_Int_Onat @t47)) % 28.11/28.83 (define @t802 () (tptp.hAPP tptp.c_Int_Onat @t654)) % 28.11/28.83 (define @t803 () (tptp.hBOOL (tptp.hAPP @t594 @t654))) % 28.11/28.83 (define @t804 () (tptp.c_RComplete_Onatfloor @t80)) % 28.11/28.83 (define @t805 () (@list @t83 @t80)) % 28.11/28.83 (define @t806 () (@list @t38 @t154)) % 28.11/28.83 (define @t807 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat)) % 28.11/28.83 (define @t808 () (tptp.hAPP @t807 @t38)) % 28.11/28.83 (define @t809 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t808 @t730)) % 28.11/28.83 (define @t810 () (@list @t47 @t38)) % 28.11/28.83 (define @t811 () (tptp.hAPP @t807 @t40)) % 28.11/28.83 (define @t812 () (tptp.hAPP @t807 @t41)) % 28.11/28.83 (define @t813 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t812)) % 28.11/28.83 (define @t814 () (tptp.hAPP @t807 @t53)) % 28.11/28.83 (define @t815 () (tptp.hAPP @t807 @t140)) % 28.11/28.83 (define @t816 () (tptp.hAPP @t807 @t765)) % 28.11/28.83 (define @t817 () (@list @t80 @t47)) % 28.11/28.83 (define @t818 () (tptp.hAPP @t807 @t80)) % 28.11/28.83 (define @t819 () (tptp.hAPP @t807 @t32)) % 28.11/28.83 (define @t820 () (tptp.hBOOL (tptp.hAPP @t552 @t21))) % 28.11/28.83 (define @t821 () (@list @t38 @t47)) % 28.11/28.83 (define @t822 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t47 @t818)) % 28.11/28.83 (define @t823 () (@list @t38 @t72)) % 28.11/28.83 (define @t824 () (tptp.hAPP @t807 @t114)) % 28.11/28.83 (define @t825 () (tptp.hAPP @t807 @t7)) % 28.11/28.83 (define @t826 () (tptp.hBOOL (tptp.hAPP @t552 @t419))) % 28.11/28.83 (define @t827 () (@list @t419)) % 28.11/28.83 (define @t828 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 28.11/28.83 (define @t829 () (tptp.hAPP @t702 @t808)) % 28.11/28.83 (define @t830 () (tptp.c_Int_Oring__1__class_Oof__int @t19 @t153)) % 28.11/28.83 (define @t831 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t153 @t213)) % 28.11/28.83 (define @t832 () (tptp.class_Rings_Oring__1 @t19)) % 28.11/28.83 (define @t833 () (= @t226 @t213)) % 28.11/28.83 (define @t834 () (tptp.c_Int_Oring__1__class_Oof__int @t19 @t226)) % 28.11/28.83 (define @t835 () (tptp.class_Int_Oring__char__0 @t19)) % 28.11/28.83 (define @t836 () (@list @t226 @t19)) % 28.11/28.83 (define @t837 () (tptp.c_Int_Oring__1__class_Oof__int @t19 @t225)) % 28.11/28.83 (define @t838 () (@list @t226 @t225 @t19)) % 28.11/28.83 (define @t839 () (tptp.c_Int_Oring__1__class_Oof__int @t19 @t72)) % 28.11/28.83 (define @t840 () (tptp.c_Int_Oring__1__class_Oof__int @t19 @t239)) % 28.11/28.83 (define @t841 () (@list @t72 @t239 @t19)) % 28.11/28.83 (define @t842 () (tptp.c_Power_Opower__class_Opower @t19)) % 28.11/28.83 (define @t843 () (tptp.hAPP @t842 @t47)) % 28.11/28.83 (define @t844 () (tptp.hAPP @t843 @t676)) % 28.11/28.83 (define @t845 () (tptp.hAPP @t353 @t844)) % 28.11/28.83 (define @t846 () (tptp.hAPP @t843 (tptp.c_Nat_OSuc @t676))) % 28.11/28.83 (define @t847 () (@list @t676 @t47 @t19)) % 28.11/28.83 (define @t848 () (tptp.hAPP @t234 @t844)) % 28.11/28.83 (define @t849 () (@list @t72 @t19)) % 28.11/28.83 (define @t850 () (@var "V_p" $$unsorted)) % 28.11/28.83 (define @t851 () (tptp.hAPP @t843 @t850)) % 28.11/28.83 (define @t852 () (@list @t676 @t850 @t47 @t19)) % 28.11/28.83 (define @t853 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 28.11/28.83 (define @t854 () (tptp.hAPP (tptp.hAPP @t853 @t72) @t38)) % 28.11/28.83 (define @t855 () (tptp.hAPP @t842 @t48)) % 28.11/28.83 (define @t856 () (tptp.hAPP @t280 @t850)) % 28.11/28.83 (define @t857 () (tptp.hAPP @t842 @t83)) % 28.11/28.83 (define @t858 () (tptp.hAPP @t857 @t38)) % 28.11/28.83 (define @t859 () (tptp.hAPP @t842 @t80)) % 28.11/28.83 (define @t860 () (tptp.hAPP @t859 @t38)) % 28.11/28.83 (define @t861 () (tptp.c_Orderings_Oord__class_Oless @t19 @t860 @t858)) % 28.11/28.83 (define @t862 () (@list @t38 @t83 @t80 @t19)) % 28.11/28.83 (define @t863 () (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t80)) % 28.11/28.83 (define @t864 () (@list @t38 @t80 @t19)) % 28.11/28.83 (define @t865 () (tptp.hAPP @t842 @t31)) % 28.11/28.83 (define @t866 () (tptp.hAPP @t865 @t96)) % 28.11/28.83 (define @t867 () (tptp.hAPP @t865 @t21)) % 28.11/28.83 (define @t868 () (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t31)) % 28.11/28.83 (define @t869 () (@list @t96 @t21 @t31 @t19)) % 28.11/28.83 (define @t870 () (tptp.hAPP (tptp.hAPP @t828 @t814) @t38)) % 28.11/28.83 (define @t871 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 28.11/28.83 (define @t872 () (tptp.hAPP (tptp.hAPP @t871 @t53) @t38)) % 28.11/28.83 (define @t873 () (tptp.hAPP @t807 @t872)) % 28.11/28.83 (define @t874 () (tptp.hAPP @t871 @t21)) % 28.11/28.83 (define @t875 () (tptp.hAPP (tptp.hAPP @t853 @t219) @t38)) % 28.11/28.83 (define @t876 () (tptp.hAPP @t172 @t872)) % 28.11/28.83 (define @t877 () (tptp.hAPP @t871 @t154)) % 28.11/28.83 (define @t878 () (tptp.hAPP @t877 @t38)) % 28.11/28.83 (define @t879 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t21)) % 28.11/28.83 (define @t880 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 (tptp.hAPP @t874 @t41))) % 28.11/28.83 (define @t881 () (@list @t41 @t21)) % 28.11/28.83 (define @t882 () (tptp.hAPP @t853 @t47)) % 28.11/28.83 (define @t883 () (tptp.hAPP @t882 @t48)) % 28.11/28.83 (define @t884 () (tptp.hAPP @t882 @t38)) % 28.11/28.83 (define @t885 () (tptp.hAPP (tptp.hAPP @t828 @t47) @t38)) % 28.11/28.83 (define @t886 () (tptp.hAPP @t290 @t860)) % 28.11/28.83 (define @t887 () (tptp.hAPP @t234 @t860)) % 28.11/28.83 (define @t888 () (tptp.hAPP @t887 @t80)) % 28.11/28.83 (define @t889 () (tptp.hAPP @t859 @t53)) % 28.11/28.83 (define @t890 () (@list @t38 @t53 @t80 @t19)) % 28.11/28.83 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t860)) % 28.11/28.83 (define @t892 () (tptp.hBOOL (tptp.hAPP @t643 @t80))) % 28.11/28.83 (define @t893 () (tptp.hAPP @t842 @t32)) % 28.11/28.83 (define @t894 () (tptp.hAPP @t893 @t41)) % 28.11/28.83 (define @t895 () (tptp.class_Power_Opower @t19)) % 28.11/28.83 (define @t896 () (tptp.hAPP @t842 @t193)) % 28.11/28.83 (define @t897 () (and @t895 (tptp.class_Rings_Osemiring__0 @t19))) % 28.11/28.83 (define @t898 () (tptp.hAPP @t859 @t140)) % 28.11/28.83 (define @t899 () (@list @t83 @t38 @t80 @t19)) % 28.11/28.83 (define @t900 () (tptp.hAPP @t857 @t140)) % 28.11/28.83 (define @t901 () (tptp.hAPP @t896 @t38)) % 28.11/28.83 (define @t902 () (@var "V_N" $$unsorted)) % 28.11/28.83 (define @t903 () (tptp.hAPP @t859 @t902)) % 28.11/28.83 (define @t904 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t902)) % 28.11/28.83 (define @t905 () (@list @t80 @t902 @t38 @t19)) % 28.11/28.83 (define @t906 () (tptp.hBOOL (tptp.hAPP @t604 @t902))) % 28.11/28.83 (define @t907 () (tptp.c_Orderings_Oord__class_Oless @t19 @t80 @t276)) % 28.11/28.83 (define @t908 () (@var "B_r" $$unsorted)) % 28.11/28.83 (define @t909 () (tptp.hAPP @t828 @t908)) % 28.11/28.83 (define @t910 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t908)) % 28.11/28.83 (define @t911 () (@list @t908)) % 28.11/28.83 (define @t912 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t80)) % 28.11/28.83 (define @t913 () (@list @t80 @t38)) % 28.11/28.83 (define @t914 () (@var "V_one_2" $$unsorted)) % 28.11/28.83 (define @t915 () (@var "V_times_2" $$unsorted)) % 28.11/28.83 (define @t916 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t19 @t914 @t915) @t32)) % 28.11/28.83 (define @t917 () (@list @t182)) % 28.11/28.83 (define @t918 () (tptp.hAPP @t702 @t825)) % 28.11/28.83 (define @t919 () (@list @t47 @t48)) % 28.11/28.83 (define @t920 () (tptp.c_Transcendental_Oln @t47)) % 28.11/28.83 (define @t921 () (tptp.c_Transcendental_Oln @t96)) % 28.11/28.83 (define @t922 () (tptp.c_Transcendental_Oln @t21)) % 28.11/28.83 (define @t923 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t96)) % 28.11/28.83 (define @t924 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t21)) % 28.11/28.83 (define @t925 () (tptp.hBOOL (tptp.hAPP @t552 @t920))) % 28.11/28.83 (define @t926 () (tptp.hBOOL (tptp.hAPP @t793 @t47))) % 28.11/28.83 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t920)) % 28.11/28.83 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t730 @t47)) % 28.11/28.83 (define @t929 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t283)) % 28.11/28.83 (define @t930 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t38)) % 28.11/28.83 (define @t931 () (@list @t53 @t38 @t19)) % 28.11/28.83 (define @t932 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t53)) % 28.11/28.83 (define @t933 () (= @t930 @t186)) % 28.11/28.83 (define @t934 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t141 @t38)) % 28.11/28.83 (define @t935 () (@var "V_j_2" $$unsorted)) % 28.11/28.83 (define @t936 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t428)) % 28.11/28.83 (define @t937 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t935 @t428)) % 28.11/28.83 (define @t938 () (@list @t428 @t935 @t183)) % 28.11/28.83 (define @t939 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t930) @t53)) % 28.11/28.83 (define @t940 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t41 @t428)) % 28.11/28.83 (define @t941 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t428)) % 28.11/28.83 (define @t942 () (tptp.hBOOL (tptp.hAPP @t742 @t41))) % 28.11/28.83 (define @t943 () (tptp.hBOOL (tptp.hAPP @t742 @t40))) % 28.11/28.83 (define @t944 () (@list @t81 @t83 @t80)) % 28.11/28.83 (define @t945 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t153)) % 28.11/28.83 (define @t946 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t945 @t154)) % 28.11/28.83 (define @t947 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t462 @t153)) % 28.11/28.83 (define @t948 () (tptp.hBOOL (tptp.hAPP @t609 @t157))) % 28.11/28.83 (define @t949 () (@list @t154 @t157 @t153)) % 28.11/28.83 (define @t950 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t945)) % 28.11/28.83 (define @t951 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t153)) % 28.11/28.83 (define @t952 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t935 @t183)) % 28.11/28.83 (define @t953 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183)) % 28.11/28.83 (define @t954 () (tptp.hBOOL (tptp.hAPP @t953 @t935))) % 28.11/28.83 (define @t955 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935)) % 28.11/28.83 (define @t956 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t283)) % 28.11/28.83 (define @t957 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t470 @t53)) % 28.11/28.83 (define @t958 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t470 @t38)) % 28.11/28.83 (define @t959 () (@list @t470 @t38 @t53)) % 28.11/28.83 (define @t960 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t153 @t53)) % 28.11/28.83 (define @t961 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t157)) % 28.11/28.83 (define @t962 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t961 @t153)) % 28.11/28.83 (define @t963 () (@var "V_B_2" $$unsorted)) % 28.11/28.83 (define @t964 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t80 @t83)) % 28.11/28.83 (define @t965 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t48)) % 28.11/28.83 (define @t966 () (tptp.hAPP @t234 @t965)) % 28.11/28.83 (define @t967 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t32 @t31)) % 28.11/28.83 (define @t968 () (= @t967 (tptp.c_Groups_Ominus__class_Ominus @t19 @t30 @t35))) % 28.11/28.83 (define @t969 () (= @t967 @t193)) % 28.11/28.83 (define @t970 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t30)) % 28.11/28.83 (define @t971 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t964)) % 28.11/28.83 (define @t972 () (= @t964 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t284))) % 28.11/28.83 (define @t973 () (@var "V_e_2" $$unsorted)) % 28.11/28.83 (define @t974 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t234 @t967) @t973) @t30)) % 28.11/28.83 (define @t975 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t310 @t973) @t35)) % 28.11/28.83 (define @t976 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t311 @t973) @t30)) % 28.11/28.83 (define @t977 () (= @t976 @t975)) % 28.11/28.83 (define @t978 () (@list @t35 @t31 @t30 @t973 @t32 @t19)) % 28.11/28.83 (define @t979 () (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Groups_Ominus__class_Ominus @t19 @t31 @t32)) @t973) @t35)) % 28.11/28.83 (define @t980 () (tptp.hAPP @t234 (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t80))) % 28.11/28.83 (define @t981 () (tptp.hAPP @t980 @t83)) % 28.11/28.83 (define @t982 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t48 @t83)) % 28.11/28.83 (define @t983 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t536 @t299)) % 28.11/28.83 (define @t984 () (@list @t83 @t80 @t48 @t47 @t19)) % 28.11/28.83 (define @t985 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t976) @t975))) % 28.11/28.83 (define @t986 () (tptp.c_Orderings_Oord__class_Oless @t19 @t976 @t975)) % 28.11/28.83 (define @t987 () (@var "B_d" $$unsorted)) % 28.11/28.83 (define @t988 () (tptp.hBOOL (tptp.hAPP @t60 @t987))) % 28.11/28.83 (define @t989 () (= @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t31 @t987))) % 28.11/28.83 (define @t990 () (@list @t987)) % 28.11/28.83 (define @t991 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t31)) % 28.11/28.83 (define @t992 () (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t31)))) % 28.11/28.83 (define @t993 () (@list @t31 @t32 @t60)) % 28.11/28.83 (define @t994 () (tptp.c_Nat_OSuc @t157)) % 28.11/28.83 (define @t995 () (tptp.c_Nat_OSuc @t945)) % 28.11/28.83 (define @t996 () (@list @t53 @t157 @t153)) % 28.11/28.83 (define @t997 () (@var "V_u_2" $$unsorted)) % 28.11/28.83 (define @t998 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t935)) @t997) @t40)) % 28.11/28.83 (define @t999 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t935) @t997) @t41)) % 28.11/28.83 (define @t1000 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t183) @t997) @t40)) % 28.11/28.83 (define @t1001 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1000) @t999))) % 28.11/28.83 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t955 @t183))) % 28.11/28.83 (define @t1003 () (@list @t41 @t40 @t997 @t183 @t935)) % 28.11/28.83 (define @t1004 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t53) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t541 @t38))) % 28.11/28.83 (define @t1005 () (= @t1000 @t999)) % 28.11/28.83 (define @t1006 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t952) @t997) @t41)) % 28.11/28.83 (define @t1007 () (@list @t41 @t40 @t997 @t935 @t183)) % 28.11/28.83 (define @t1008 () (tptp.c_Nat_OSuc @t929)) % 28.11/28.83 (define @t1009 () (not @t427)) % 28.11/28.83 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1000 @t999)) % 28.11/28.83 (define @t1011 () (tptp.hAPP @t871 @t850)) % 28.11/28.83 (define @t1012 () (tptp.hAPP @t1011 @t53)) % 28.11/28.83 (define @t1013 () (tptp.hAPP @t842 @t53)) % 28.11/28.83 (define @t1014 () (tptp.hAPP @t1013 @t38)) % 28.11/28.83 (define @t1015 () (tptp.c_Nat__Transfer_Otsub @t47 @t48)) % 28.11/28.83 (define @t1016 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t72 @t239)) % 28.11/28.83 (define @t1017 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t270)) % 28.11/28.83 (define @t1018 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t243 @t240)) % 28.11/28.83 (define @t1019 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t48) @t47))) % 28.11/28.83 (define @t1020 () (=> @t1019 (= @t1015 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t47 @t48)))) % 28.11/28.83 (define @t1021 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t47 @t818)) % 28.11/28.83 (define @t1022 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t818) @t47))) % 28.11/28.83 (define @t1023 () (@list @t47 @t80)) % 28.11/28.83 (define @t1024 () (tptp.hBOOL (tptp.hAPP @t60 @t213))) % 28.11/28.83 (define @t1025 () (tptp.hAPP @t853 @t153)) % 28.11/28.83 (define @t1026 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t80 @t83)) % 28.11/28.83 (define @t1027 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 @t1026)) % 28.11/28.83 (define @t1028 () (tptp.class_Divides_Osemiring__div @t19)) % 28.11/28.83 (define @t1029 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t1026 @t276)) % 28.11/28.83 (define @t1030 () (tptp.c_Divides_Odiv__class_Odiv @t19 @t386 @t385)) % 28.11/28.83 (define @t1031 () (= @t81 @t193)) % 28.11/28.83 (define @t1032 () (not @t1031)) % 28.11/28.83 (define @t1033 () (=> @t1032 (= @t1030 @t1026))) % 28.11/28.83 (define @t1034 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t47 @t48)) % 28.11/28.83 (define @t1035 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t80 @t83)) % 28.11/28.83 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t83)) % 28.11/28.83 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t80 @t213)) % 28.11/28.83 (define @t1038 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t32 @t31)) % 28.11/28.83 (define @t1039 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1038 @t213)) % 28.11/28.83 (define @t1040 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t31 @t213)) % 28.11/28.83 (define @t1041 () (@list @t32 @t31)) % 28.11/28.83 (define @t1042 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t31)) % 28.11/28.83 (define @t1043 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t80)) % 28.11/28.83 (define @t1044 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t83)) % 28.11/28.83 (define @t1045 () (= @t428 @t213)) % 28.11/28.83 (define @t1046 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t183 @t428)) % 28.11/28.83 (define @t1047 () (tptp.hBOOL (tptp.hAPP @t594 @t32))) % 28.11/28.83 (define @t1048 () (tptp.hBOOL (tptp.hAPP @t594 @t1038))) % 28.11/28.83 (define @t1049 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t428)) % 28.11/28.83 (define @t1050 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t80 @t537)) % 28.11/28.83 (define @t1051 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1035)) % 28.11/28.83 (define @t1052 () (tptp.hBOOL (tptp.hAPP @t594 @t80))) % 28.11/28.83 (define @t1053 () (@list @t83 @t537 @t80)) % 28.11/28.83 (define @t1054 () (tptp.hBOOL (tptp.hAPP @t1051 @t213))) % 28.11/28.83 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t213)) % 28.11/28.83 (define @t1056 () (= @t1035 @t213)) % 28.11/28.83 (define @t1057 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t80)) % 28.11/28.83 (define @t1058 () (tptp.hBOOL (tptp.hAPP @t1057 @t213))) % 28.11/28.83 (define @t1059 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t529 @t83)) % 28.11/28.83 (define @t1060 () (tptp.hBOOL (tptp.hAPP @t1057 @t529))) % 28.11/28.83 (define @t1061 () (@list @t83 @t529 @t80)) % 28.11/28.83 (define @t1062 () (tptp.hAPP @t215 @t428)) % 28.11/28.83 (define @t1063 () (= @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1062 @t757) @t187))) % 28.11/28.83 (define @t1064 () (@list @t428 @t41 @t60)) % 28.11/28.83 (define @t1065 () (@var "V_b_1" $$unsorted)) % 28.11/28.83 (define @t1066 () (@var "V_a_1" $$unsorted)) % 28.11/28.83 (define @t1067 () (@var "V_r_1" $$unsorted)) % 28.11/28.83 (define @t1068 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t1065)) % 28.11/28.83 (define @t1069 () (tptp.c_SMT_Oz3div @t153 @t470)) % 28.11/28.83 (define @t1070 () (tptp.hBOOL (tptp.hAPP @t594 @t470))) % 28.11/28.83 (define @t1071 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t53 @t38)) % 28.11/28.83 (define @t1072 () (=> @t133 (= @t1071 @t186))) % 28.11/28.83 (define @t1073 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t443 @t442)) % 28.11/28.83 (define @t1074 () (= @t1073 @t1071)) % 28.11/28.83 (define @t1075 () (= @t153 @t186)) % 28.11/28.83 (define @t1076 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t80 @t83)) % 28.11/28.83 (define @t1077 () (=> @t151 (= @t1071 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t930 @t38))))) % 28.11/28.83 (define @t1078 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t801 @t800)) % 28.11/28.83 (define @t1079 () (tptp.hAPP tptp.c_Int_Onat @t1034)) % 28.11/28.83 (define @t1080 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t40 @t41)) % 28.11/28.83 (define @t1081 () (@var "V_q_2" $$unsorted)) % 28.11/28.83 (define @t1082 () (@var "B_q" $$unsorted)) % 28.11/28.83 (define @t1083 () (@var "T_1" $$unsorted)) % 28.11/28.83 (define @t1084 () (@var "T_2" $$unsorted)) % 28.11/28.83 (define @t1085 () (tptp.tc_fun @t1084 @t1083)) % 28.11/28.83 (define @t1086 () (@list @t1084 @t1083)) % 28.11/28.83 (define @t1087 () (tptp.hAPP (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.v_f____) tptp.v_ga____)) % 28.11/28.83 (define @t1088 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1087 @t8) (tptp.hAPP @t1087 @t7))) % 28.11/28.83 (define @t1089 () (forall @t11 (=> @t10 @t1088))) % 28.11/28.83 (define @t1090 () (not @t1089)) % 28.11/28.83 (define @t1091 () (forall @t11 (or (not @t10) @t1088))) % 28.11/28.83 (define @t1092 () (@quantifiers_skolemize @t1091 1)) % 28.11/28.83 (define @t1093 () (tptp.hAPP tptp.v_ga____ @t1092)) % 28.11/28.83 (define @t1094 () (@quantifiers_skolemize @t1091 0)) % 28.11/28.83 (define @t1095 () (tptp.hAPP tptp.v_ga____ @t1094)) % 28.11/28.83 (define @t1096 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1094 @t1092)) % 28.11/28.83 (define @t1097 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1087 @t1094) (tptp.hAPP @t1087 @t1092))) % 28.11/28.83 (define @t1098 () (not @t1096)) % 28.11/28.83 (define @t1099 () (or @t1098 @t1097)) % 28.11/28.83 (define @t1100 () (@list true)) % 28.11/28.83 (define @t1101 () (@list @t1099)) % 28.11/28.83 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1095 @t1093)) % 28.11/28.83 (define @t1103 () (or @t1098 @t1102)) % 28.11/28.83 (define @t1104 () (@list false false)) % 28.11/28.83 (define @t1105 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP tptp.v_f____ @t1095) (tptp.hAPP tptp.v_f____ @t1093))) % 28.11/28.83 (define @t1106 () (not @t1102)) % 28.11/28.83 (define @t1107 () (or @t1106 @t1105)) % 28.11/28.83 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 28.11/28.83 (assume @p2 @t12) % 28.11/28.83 (assume @p3 @t14) % 28.11/28.83 (assume @p4 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 28.11/28.83 (assume @p5 (tptp.c_SEQ_Osubseq tptp.v_ga____)) % 28.11/28.83 (assume @p6 (forall (@list @t15 @t1 @t16 @t2 @t19 @t17 @t18) (= (tptp.hAPP @t20 (tptp.hAPP (tptp.c_Fun_Ocomp @t16 @t18 @t19 @t1) @t15)) (tptp.hAPP (tptp.c_Fun_Ocomp @t16 @t17 @t19 (tptp.hAPP (tptp.c_Fun_Ocomp @t18 @t17 @t16 @t2) @t1)) @t15)))) % 28.11/28.83 (assume @p7 (forall (@list @t21 @t1 @t2 @t18 @t19 @t17) (= @t24 @t23))) % 28.11/28.83 (assume @p8 (forall (@list @t28 @t16 @t18 @t19 @t17 @t25 @t26 @t27 @t21 @t1 @t2) (=> (= @t23 (tptp.hAPP @t27 (tptp.hAPP @t26 @t25))) (= @t24 (tptp.hAPP (tptp.hAPP (tptp.c_Fun_Ocomp @t16 @t19 @t28 @t27) @t26) @t25))))) % 28.11/28.83 (assume @p9 (forall (@list @t29 @t30 @t31 @t32 @t19 @t17 @t18) (=> (= @t34 @t30) (= @t33 (tptp.hAPP @t30 @t29))))) % 28.11/28.83 (assume @p10 (forall (@list @t29 @t35 @t30 @t16 @t31 @t32 @t19 @t17 @t18) (=> @t36 (= @t33 (tptp.hAPP @t30 (tptp.hAPP @t35 @t29)))))) % 28.11/28.83 (assume @p11 (forall (@list @t35 @t30 @t16 @t31 @t32 @t19 @t17 @t18) (=> @t36 (forall (@list @t37) (= (tptp.hAPP @t32 (tptp.hAPP @t31 @t37)) (tptp.hAPP @t30 (tptp.hAPP @t35 @t37))))))) % 28.11/28.83 (assume @p12 (forall @t39 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t38)))) % 28.11/28.83 (assume @p13 (forall @t46 (= @t45 (or @t43 @t42)))) % 28.11/28.83 (assume @p14 (forall @t52 (=> @t51 (=> (not @t49) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t48 @t47))))) % 28.11/28.83 (assume @p15 (forall @t57 (=> @t56 @t55))) % 28.11/28.83 (assume @p16 (forall (@list @t58 @t59) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t59 @t58) (not (= @t59 @t58))))) % 28.11/28.83 (assume @p17 (forall (@list @t60 @t41 @t40) (=> (=> @t43 @t62) (=> (=> @t44 @t62) (=> (=> @t42 @t62) @t62))))) % 28.11/28.83 (assume @p18 (forall @t65 (= @t64 (forall @t11 (=> @t10 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t8) @t63)))))) % 28.11/28.83 (assume @p19 (forall @t70 (=> @t69 (=> @t68 (=> @t51 @t66))))) % 28.11/28.83 (assume @p20 (forall @t70 (=> @t71 (=> @t67 (not @t66))))) % 28.11/28.83 (assume @p21 (forall @t76 (=> @t75 (=> @t66 @t74)))) % 28.11/28.83 (assume @p22 (forall @t79 (=> @t71 (=> @t67 @t78)))) % 28.11/28.83 (assume @p23 (forall @t86 (=> @t75 (=> @t85 (=> @t84 @t82))))) % 28.11/28.83 (assume @p24 (forall @t90 (=> @t89 (=> @t88 (=> @t84 @t87))))) % 28.11/28.83 (assume @p25 (forall @t90 (=> @t75 (=> @t91 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t81 @t83) @t82))))) % 28.11/28.83 (assume @p26 (forall @t90 (=> @t89 (=> @t91 (=> @t92 @t87))))) % 28.11/28.83 (assume @p27 (forall @t93 (=> @t75 (=> @t85 (not @t88))))) % 28.11/28.83 (assume @p28 (forall @t94 (=> @t71 (=> @t88 (not @t85))))) % 28.11/28.83 (assume @p29 (forall @t70 (=> @t75 (=> @t67 (not (= @t48 @t47)))))) % 28.11/28.83 (assume @p30 (forall @t95 (=> @t71 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t47 @t47))))) % 28.11/28.83 (assume @p31 (forall @t101 (=> @t69 (= @t100 (or @t98 @t97))))) % 28.11/28.83 (assume @p32 (forall @t101 (=> @t69 (= @t102 (or @t97 @t99))))) % 28.11/28.83 (assume @p33 (forall @t70 (=> @t69 (or @t67 @t50 @t66)))) % 28.11/28.83 (assume @p34 (forall @t104 (=> @t69 (=> (not @t97) @t103)))) % 28.11/28.83 (assume @p35 (forall @t70 (=> @t69 @t105))) % 28.11/28.83 (assume @p36 (forall @t70 (=> @t75 (=> @t67 @t51)))) % 28.11/28.83 (assume @p37 (forall @t110 (=> @t109 (=> @t108 (=> @t64 (tptp.c_SEQ_OCauchy @t19 @t107)))))) % 28.11/28.83 (assume @p38 (forall @t110 (=> @t112 (=> @t111 (=> @t64 (tptp.c_SEQ_Oconvergent @t19 @t107)))))) % 28.11/28.83 (assume @p39 (forall @t70 (=> @t113 @t105))) % 28.11/28.83 (assume @p40 (forall @t65 (= @t64 (forall @t116 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t115))))) % 28.11/28.83 (assume @p41 (forall @t123 (=> @t122 (=> @t120 (= @t119 @t98))))) % 28.11/28.83 (assume @p42 (forall @t123 (=> @t124 (=> @t120 (=> @t98 @t119))))) % 28.11/28.83 (assume @p43 (forall @t129 (=> @t128 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t127 @t126) @t43)))) % 28.11/28.83 (assume @p44 (forall @t134 (=> @t128 (=> @t133 @t132)))) % 28.11/28.83 (assume @p45 (forall @t134 (=> @t128 (=> @t132 @t133)))) % 28.11/28.83 (assume @p46 (forall (@list @t1 @t21 @t2 @t136 @t135 @t17 @t19) (=> @t139 (=> @t138 (= (tptp.hAPP (tptp.hAPP @t135 (tptp.hAPP (tptp.c_Fun_Ocomp @t19 @t19 @t19 @t1) @t2)) @t21) (tptp.hAPP (tptp.hAPP @t135 @t1) @t21)))))) % 28.11/28.83 (assume @p47 (forall (@list @t1 @t31 @t32 @t2 @t19 @t17 @t18) (= (tptp.hAPP @t20 (tptp.c_Fun_Oswap @t19 @t18 @t32 @t31 @t1)) (tptp.c_Fun_Oswap @t19 @t17 @t32 @t31 (tptp.hAPP @t20 @t1))))) % 28.11/28.83 (assume @p48 (forall @t143 (=> @t133 @t142))) % 28.11/28.83 (assume @p49 (forall @t39 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t140))) % 28.11/28.83 (assume @p50 (forall @t144 (=> @t109 (=> @t111 @t108)))) % 28.11/28.83 (assume @p51 (forall @t144 (=> @t112 (=> @t108 @t111)))) % 28.11/28.83 (assume @p52 (forall @t144 (=> @t112 (= @t108 @t111)))) % 28.11/28.83 (assume @p53 (forall @t52 (=> (= (tptp.c_Nat_OSuc @t47) (tptp.c_Nat_OSuc @t48)) @t50))) % 28.11/28.83 (assume @p54 (forall (@list @t21 @t2 @t136 @t135 @t17 @t19) (=> @t139 (=> @t138 (= (tptp.hAPP (tptp.hAPP @t135 @t2) @t21) @t21))))) % 28.11/28.83 (assume @p55 (forall (@list @t2 @t17 @t19 @t31 @t30 @t32) (=> (not (= @t32 @t30)) (=> (not @t146) (= (tptp.c_Fun_Oswap @t19 @t17 @t32 @t31 (tptp.c_Fun_Oswap @t19 @t17 @t31 @t30 @t145)) (tptp.c_Fun_Oswap @t19 @t17 @t32 @t30 @t2)))))) % 28.11/28.83 (assume @p56 (forall @t147 (= (tptp.c_Fun_Oswap @t19 @t17 @t32 @t31 @t145) @t2))) % 28.11/28.83 (assume @p57 (forall @t147 (= @t145 (tptp.c_Fun_Oswap @t19 @t17 @t31 @t32 @t2)))) % 28.11/28.83 (assume @p58 (forall (@list @t2 @t32 @t17 @t19) (= (tptp.c_Fun_Oswap @t19 @t17 @t32 @t32 @t2) @t2))) % 28.11/28.83 (assume @p59 (forall @t129 (=> (tptp.class_Nat_Osemiring__char__0 @t19) (= (= @t127 @t126) @t44)))) % 28.11/28.83 (assume @p60 (forall (@list @t148 @t149) (= (= (tptp.c_Nat_OSuc @t149) (tptp.c_Nat_OSuc @t148)) (= @t149 @t148)))) % 28.11/28.83 (assume @p61 (forall @t39 (not (= @t140 @t38)))) % 28.11/28.83 (assume @p62 (forall @t39 (not (= @t38 @t140)))) % 28.11/28.83 (assume @p63 (forall @t123 (=> @t122 (=> @t120 (= (= @t118 @t117) @t99))))) % 28.11/28.83 (assume @p64 (forall @t143 (=> @t142 @t133))) % 28.11/28.83 (assume @p65 (forall @t143 (=> @t150 @t133))) % 28.11/28.83 (assume @p66 (forall @t143 (=> @t152 (=> @t151 @t54)))) % 28.11/28.83 (assume @p67 (forall @t160 (=> @t159 (=> @t158 @t156)))) % 28.11/28.83 (assume @p68 (forall @t143 (=> @t133 (=> (not (= @t141 @t38)) @t150)))) % 28.11/28.83 (assume @p69 (forall @t143 (=> @t133 @t152))) % 28.11/28.83 (assume @p70 (forall @t57 (=> (not @t56) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t141) @t54)))) % 28.11/28.83 (assume @p71 (forall @t165 (=> (not @t42) @t164))) % 28.11/28.83 (assume @p72 (forall @t46 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t162 @t166) @t43))) % 28.11/28.83 (assume @p73 (forall @t46 (= @t168 @t167))) % 28.11/28.83 (assume @p74 (forall @t46 (= (not @t43) @t163))) % 28.11/28.83 (assume @p75 (forall (@list @t169 @t41 @t2 @t19) (=> @t75 (=> @t171 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t169) (tptp.c_Orderings_Oord__class_Oless @t19 @t170 (tptp.hAPP @t2 @t169))))))) % 28.11/28.83 (assume @p76 (forall (@list @t40 @t41 @t2 @t19) (=> @t75 (=> @t171 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t170 (tptp.hAPP @t2 @t40)) @t42))))) % 28.11/28.83 (assume @p77 (forall @t46 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t174 @t173) @t43))) % 28.11/28.83 (assume @p78 (forall @t178 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t177 @t176) @t175))) % 28.11/28.83 (assume @p79 (forall (@list @t2 @t41 @t19) (= (tptp.hAPP (tptp.hAPP @t179 @t166) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t19 @t19 @t19 @t2) @t181)))) % 28.11/28.83 (assume @p80 (forall (@list @t2 @t19 @t17) (=> @t124 (=> (forall (@list @t3 @t182) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t3 @t182) (tptp.c_Orderings_Oord__class_Oless @t17 @t5 (tptp.hAPP @t2 @t182)))) @t120)))) % 28.11/28.83 (assume @p81 (forall (@list @t183 @t41 @t184 @t19) (=> @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t19 @t184 @t166 @t183) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t19 @t184 @t41 (tptp.hAPP @t184 @t183)))))) % 28.11/28.83 (assume @p82 (forall @t39 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t140))) % 28.11/28.83 (assume @p83 (forall @t192 (=> @t191 (=> (not (= @t153 @t155)) @t190)))) % 28.11/28.83 (assume @p84 (forall @t192 (=> @t156 @t190))) % 28.11/28.83 (assume @p85 (forall @t39 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t186)))) % 28.11/28.83 (assume @p86 (forall @t46 (= (= @t174 @t173) @t44))) % 28.11/28.83 (assume @p87 (forall @t178 (= (= @t177 @t176) @t99))) % 28.11/28.83 (assume @p88 (forall (@list @t21 @t41 @t19 @t2) (= (tptp.hAPP @t2 (tptp.hAPP @t181 @t21)) (tptp.hAPP @t181 @t118)))) % 28.11/28.83 (assume @p89 (forall (@list @t183 @t184 @t19) (=> @t185 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t19 @t184 @t186 @t183) @t183)))) % 28.11/28.83 (assume @p90 (forall @t52 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 @t48) @t50 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t48 @t47)))) % 28.11/28.83 (assume @p91 (forall @t194 (=> @t185 (= (tptp.hAPP @t125 @t186) @t193)))) % 28.11/28.83 (assume @p92 (forall (@list @t2 @t41 @t17 @t19) (= (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t195 @t195) @t41) (tptp.c_Fun_Ocomp @t17 @t17 @t19 @t2)) (tptp.c_Fun_Ocomp @t17 @t17 @t19 (tptp.hAPP (tptp.hAPP (tptp.c_Nat_Ocompow @t17 @t17) @t41) @t2))))) % 28.11/28.83 (assume @p93 (forall @t196 (not (= @t186 @t141)))) % 28.11/28.83 (assume @p94 (forall (@list @t197) (not (= @t186 (tptp.c_Nat_OSuc @t197))))) % 28.11/28.83 (assume @p95 (forall @t196 (not (= @t141 @t186)))) % 28.11/28.83 (assume @p96 (forall (@list @t198) (not (= (tptp.c_Nat_OSuc @t198) @t186)))) % 28.11/28.83 (assume @p97 (forall @t202 (= @t201 @t199))) % 28.11/28.83 (assume @p98 (forall @t143 (=> @t133 @t204))) % 28.11/28.83 (assume @p99 (forall @t39 (=> @t204 @t205))) % 28.11/28.83 (assume @p100 (forall (@list @t41 @t19) (=> @t128 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t126) @t199)))) % 28.11/28.83 (assume @p101 (forall @t206 (=> @t128 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t131 @t193))))) % 28.11/28.83 (assume @p102 (forall @t46 (= @t168 (or @t207 (exists @t189 (and (= @t40 @t188) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t187 @t41))))))) % 28.11/28.83 (assume @p103 (forall @t202 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t208) @t200))) % 28.11/28.83 (assume @p104 (forall @t202 (= @t199 (exists @t210 (= @t41 @t209))))) % 28.11/28.83 (assume @p105 (forall @t212 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t47 @t211) (or (= @t47 @t186) (= @t47 @t208))))) % 28.11/28.83 (assume @p106 (forall @t194 (= (tptp.c_Nat_Ofunpow @t19) @t179))) % 28.11/28.83 (assume @p107 (forall @t202 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t173) @t199))) % 28.11/28.83 (assume @p108 (forall @t160 (=> @t218 (=> @t217 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t216 @t154) (tptp.hAPP @t216 @t157)))))) % 28.11/28.83 (assume @p109 (forall @t39 (=> @t205 (exists @t210 (= @t38 @t209))))) % 28.11/28.83 (assume @p110 (forall @t57 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t220 @t219))) % 28.11/28.83 (assume @p111 (= (tptp.hAPP @t172 @t208) @t221)) % 28.11/28.83 (assume @p112 (forall @t223 (=> (tptp.class_Groups_Ozero @t19) (= (= @t193 @t21) @t222)))) % 28.11/28.83 (assume @p113 (forall @t228 (= @t227 (exists @t116 (= @t226 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t225 @t224)))))) % 28.11/28.83 (assume @p114 (forall @t94 (=> @t231 (=> (= @t230 @t193) (= @t229 @t83))))) % 28.11/28.83 (assume @p115 (forall @t101 (=> @t238 (= (= @t237 @t193) @t233)))) % 28.11/28.83 (assume @p116 (forall @t247 (= (tptp.hAPP (tptp.hAPP @t215 @t246) @t239) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t245 @t242)))) % 28.11/28.83 (assume @p117 (forall @t249 (= (tptp.hAPP (tptp.hAPP @t215 (tptp.hAPP @t244 @t240)) @t248) (tptp.hAPP @t244 (tptp.hAPP @t241 @t248))))) % 28.11/28.83 (assume @p118 (forall @t249 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t246 @t248) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t243 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t240 @t248))))) % 28.11/28.83 (assume @p119 (forall @t253 (= (tptp.hAPP (tptp.hAPP @t215 @t252) @t239) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t251)))) % 28.11/28.83 (assume @p120 (forall @t254 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t252 @t72) @t213))) % 28.11/28.83 (assume @p121 (forall @t257 (=> @t256 @t255))) % 28.11/28.83 (assume @p122 (forall @t257 (=> @t231 @t255))) % 28.11/28.83 (assume @p123 (forall @t261 (= (tptp.hAPP @t258 @t246) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t260 @t259)))) % 28.11/28.83 (assume @p124 (forall @t262 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t47 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t48 @t72)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t48 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t47 @t72))))) % 28.11/28.83 (assume @p125 (forall @t266 (=> @t231 (= @t265 (= @t263 @t193))))) % 28.11/28.83 (assume @p126 (forall @t257 (=> @t231 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t229) @t193)))) % 28.11/28.83 (assume @p127 (forall @t253 (= @t251 @t267))) % 28.11/28.83 (assume @p128 (forall @t253 (= @t269 @t268))) % 28.11/28.83 (assume @p129 (forall @t254 (= (tptp.hAPP @t250 @t221) @t72))) % 28.11/28.83 (assume @p130 (forall @t254 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t213) @t72))) % 28.11/28.83 (assume @p131 (forall @t254 (= (tptp.hAPP (tptp.hAPP @t215 @t221) @t72) @t72))) % 28.11/28.83 (assume @p132 (forall @t254 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t213 @t72) @t72))) % 28.11/28.83 (assume @p133 (forall @t253 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t269) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t252 @t270)))) % 28.11/28.83 (assume @p134 (forall @t254 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t252) @t72))) % 28.11/28.83 (assume @p135 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t213) @t213)) % 28.11/28.83 (assume @p136 (forall @t254 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t271 @t72) @t213)))) % 28.11/28.83 (assume @p137 (not (= @t213 @t221))) % 28.11/28.83 (assume @p138 (forall @t228 (= @t273 (or @t227 @t272)))) % 28.11/28.83 (assume @p139 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t221 @t226) @t226) @t213) @t274))) % 28.11/28.83 (assume @p140 (forall @t46 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t40) (= (= (tptp.hAPP (tptp.hAPP @t215 @t40) @t41) @t221) (and (= @t40 @t221) (= @t41 @t221)))))) % 28.11/28.83 (assume @p141 (forall @t257 (=> @t128 (tptp.c_Orderings_Oord__class_Oless @t19 @t80 @t277)))) % 28.11/28.83 (assume @p142 (forall @t134 (=> @t128 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t53) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t38) (tptp.c_Orderings_Oord__class_Oless @t19 @t276 (tptp.hAPP @t278 @t38))))))) % 28.11/28.83 (assume @p143 (forall @t134 (=> @t185 (= (tptp.hAPP @t125 @t279) (tptp.c_Groups_Oplus__class_Oplus @t19 @t131 @t130))))) % 28.11/28.83 (assume @p144 (forall @t134 (=> @t185 (= (tptp.hAPP @t125 @t282) (tptp.hAPP (tptp.hAPP @t234 @t131) @t130))))) % 28.11/28.83 (assume @p145 (forall @t194 (=> @t185 (= (tptp.hAPP @t125 @t283) @t276)))) % 28.11/28.83 (assume @p146 (forall @t257 (=> @t231 (= (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t229) @t80)))) % 28.11/28.83 (assume @p147 (forall @t94 (=> @t256 (= @t285 (tptp.c_Groups_Oplus__class_Oplus @t19 @t229 @t284))))) % 28.11/28.83 (assume @p148 (forall @t94 (=> @t231 (= @t285 (tptp.c_Groups_Oplus__class_Oplus @t19 @t284 @t229))))) % 28.11/28.83 (assume @p149 (forall @t257 (=> @t287 @t286))) % 28.11/28.83 (assume @p150 (forall @t257 (=> @t288 @t286))) % 28.11/28.83 (assume @p151 (forall @t223 (=> (tptp.class_Groups_Oone @t19) (= (= @t276 @t21) @t289)))) % 28.11/28.83 (assume @p152 (forall @t257 (=> @t287 @t291))) % 28.11/28.83 (assume @p153 (forall @t257 (=> @t288 @t291))) % 28.11/28.83 (assume @p154 (forall @t266 (=> @t231 (= @t265 (= @t31 @t292))))) % 28.11/28.83 (assume @p155 (forall @t94 (=> @t231 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 (tptp.c_Groups_Oplus__class_Oplus @t19 @t229 @t83)) @t83)))) % 28.11/28.83 (assume @p156 (forall @t266 (=> @t231 (= (= @t292 @t31) (= @t264 @t32))))) % 28.11/28.83 (assume @p157 (forall @t266 (=> @t231 (= (= @t292 @t264) @t293)))) % 28.11/28.83 (assume @p158 (forall @t94 (=> @t231 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t229 @t230) @t83)))) % 28.11/28.83 (assume @p159 (forall @t90 (=> (tptp.class_Groups_Oab__semigroup__add @t19) @t296))) % 28.11/28.83 (assume @p160 (forall @t90 (=> (tptp.class_Groups_Oab__semigroup__mult @t19) (= (tptp.hAPP (tptp.hAPP @t234 @t299) @t81) (tptp.hAPP @t290 @t298))))) % 28.11/28.83 (assume @p161 (forall (@list @t30 @t31 @t32 @t19) (=> @t301 (= (= @t263 @t300) @t146)))) % 28.11/28.83 (assume @p162 (forall (@list @t30 @t32 @t31 @t19) (=> @t301 (= (= @t303 @t302) @t146)))) % 28.11/28.83 (assume @p163 (forall @t90 (=> @t301 @t305))) % 28.11/28.83 (assume @p164 (forall @t90 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t19) @t305))) % 28.11/28.83 (assume @p165 (forall @t86 (=> @t301 (=> (= @t307 @t306) @t84)))) % 28.11/28.83 (assume @p166 (forall (@list @t81 @t83 @t308 @t80 @t19) (=> (tptp.class_Rings_Osemiring @t19) (= (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t290 @t308) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t297 @t308) @t81)) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t309 @t308) @t81))))) % 28.11/28.83 (assume @p167 (forall @t266 (=> @t312 (= (= (tptp.hAPP @t311 @t32) (tptp.hAPP @t310 @t31)) (or @t293 @t265))))) % 28.11/28.83 (assume @p168 (forall @t90 (=> (tptp.class_Rings_Ocomm__semiring @t19) @t314))) % 28.11/28.83 (assume @p169 (forall @t223 (=> @t316 (= (= @t236 @t276) (or @t289 (= @t21 @t315)))))) % 28.11/28.83 (assume @p170 (forall @t94 (=> @t318 (= (tptp.hAPP @t317 @t284) @t299)))) % 28.11/28.83 (assume @p171 (forall @t94 (=> @t318 (= @t320 @t319)))) % 28.11/28.83 (assume @p172 (forall @t94 (=> @t318 (= @t321 @t320)))) % 28.11/28.83 (assume @p173 (forall @t94 (=> @t318 (= @t321 @t319)))) % 28.11/28.83 (assume @p174 (forall @t194 (=> @t231 (= (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t193) @t193)))) % 28.11/28.83 (assume @p175 (forall @t322 (=> @t231 (= (= @t193 @t292) (= @t193 @t32))))) % 28.11/28.83 (assume @p176 (forall @t322 (=> @t324 (= (= @t32 @t292) @t323)))) % 28.11/28.83 (assume @p177 (forall @t322 (=> @t231 (= (= @t292 @t193) @t323)))) % 28.11/28.83 (assume @p178 (forall @t322 (=> @t324 (= (= @t292 @t32) @t323)))) % 28.11/28.83 (assume @p179 (forall @t160 (=> @t218 (=> @t326 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t325 @t154) (tptp.hAPP @t325 @t157)))))) % 28.11/28.83 (assume @p180 (forall @t329 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t264 @t292) @t327)))) % 28.11/28.83 (assume @p181 (forall @t266 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t292 @t31) (tptp.c_Orderings_Oord__class_Oless @t19 @t264 @t32))))) % 28.11/28.83 (assume @p182 (forall @t266 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t32 @t264) (tptp.c_Orderings_Oord__class_Oless @t19 @t31 @t292))))) % 28.11/28.83 (assume @p183 (forall @t257 (=> @t331 @t330))) % 28.11/28.83 (assume @p184 (forall @t257 (=> @t332 @t330))) % 28.11/28.83 (assume @p185 (forall @t322 (=> @t324 (= (= @t193 @t333) @t323)))) % 28.11/28.83 (assume @p186 (forall @t257 (=> @t331 @t334))) % 28.11/28.83 (assume @p187 (forall @t257 (=> @t332 @t334))) % 28.11/28.83 (assume @p188 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t221)) % 28.11/28.83 (assume @p189 (forall @t338 (=> @t337 (=> @t336 @t88)))) % 28.11/28.83 (assume @p190 (forall @t340 (=> @t337 (=> @t339 @t88)))) % 28.11/28.83 (assume @p191 (forall @t347 (=> @t346 (=> @t88 @t345)))) % 28.11/28.83 (assume @p192 (forall @t90 (=> @t346 (=> @t88 @t336)))) % 28.11/28.83 (assume @p193 (forall @t90 (=> @t346 (=> @t88 @t339)))) % 28.11/28.83 (assume @p194 (forall @t349 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t302 @t348) @t327)))) % 28.11/28.83 (assume @p195 (forall @t351 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t300 @t350) @t327)))) % 28.11/28.83 (assume @p196 (forall @t101 (=> @t238 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t237) (or (not @t222) (not @t232)))))) % 28.11/28.83 (assume @p197 (forall @t70 (=> @t356 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t355 @t193))))) % 28.11/28.83 (assume @p198 (forall @t194 (=> @t128 (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t357)))) % 28.11/28.83 (assume @p199 (forall @t206 (=> @t185 (= (tptp.hAPP @t125 @t141) (tptp.c_Groups_Oplus__class_Oplus @t19 @t276 @t131))))) % 28.11/28.83 (assume @p200 (forall @t196 (= (tptp.hAPP @t172 @t141) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t221 @t219)))) % 28.11/28.83 (assume @p201 (forall @t322 (=> @t324 (= (= @t333 @t193) @t323)))) % 28.11/28.83 (assume @p202 (forall @t94 (=> @t361 (=> @t360 (or @t359 @t358))))) % 28.11/28.83 (assume @p203 (forall @t94 (=> @t361 (=> @t363 (=> @t362 (not @t360)))))) % 28.11/28.83 (assume @p204 (forall @t266 (=> (tptp.class_Rings_Oring__no__zero__divisors @t19) (= (= @t364 @t193) (or @t323 (= @t31 @t193)))))) % 28.11/28.83 (assume @p205 (forall @t257 (=> @t366 @t365))) % 28.11/28.83 (assume @p206 (forall @t257 (=> @t366 @t368))) % 28.11/28.83 (assume @p207 (forall @t194 (=> @t369 (not (= @t193 @t276))))) % 28.11/28.83 (assume @p208 (forall @t194 (=> @t369 (not (= @t276 @t193))))) % 28.11/28.83 (assume @p209 (forall @t160 (=> @t218 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t154 @t153) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t157 @t153))))) % 28.11/28.83 (assume @p210 (forall @t322 (=> @t324 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t292 @t32) @t370)))) % 28.11/28.83 (assume @p211 (forall @t322 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t292 @t193) @t370)))) % 28.11/28.83 (assume @p212 (forall @t322 (=> @t328 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t292) @t371)))) % 28.11/28.83 (assume @p213 (forall @t94 (=> @t376 (=> @t375 @t374)))) % 28.11/28.83 (assume @p214 (forall @t94 (=> @t376 (=> @t380 @t379)))) % 28.11/28.83 (assume @p215 (forall @t322 (=> @t324 @t381))) % 28.11/28.83 (assume @p216 (forall @t322 (=> @t324 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t333) @t370)))) % 28.11/28.83 (assume @p217 (forall @t39 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t220 @t213))) % 28.11/28.83 (assume @p218 (forall @t322 (=> @t113 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t32 @t292) @t371)))) % 28.11/28.83 (assume @p219 (forall @t90 (=> @t128 (=> @t380 @t383)))) % 28.11/28.83 (assume @p220 (forall @t322 (=> @t113 @t381))) % 28.11/28.83 (assume @p221 (forall @t86 (=> @t238 (=> @t85 (=> @t388 @t387))))) % 28.11/28.83 (assume @p222 (forall @t86 (=> @t238 (=> @t85 (=> @t388 @t389))))) % 28.11/28.83 (assume @p223 (forall @t90 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t19) @t391))) % 28.11/28.83 (assume @p224 (forall @t90 (=> @t392 @t391))) % 28.11/28.83 (assume @p225 (forall @t90 (=> @t392 (=> @t88 (=> @t390 @t389))))) % 28.11/28.83 (assume @p226 (forall @t94 (=> @t238 (=> @t375 (=> @t373 @t393))))) % 28.11/28.83 (assume @p227 (forall @t94 (=> @t392 (=> @t375 (=> @t378 @t394))))) % 28.11/28.83 (assume @p228 (forall @t349 (=> @t238 (=> @t400 (= @t399 @t395))))) % 28.11/28.83 (assume @p229 (forall @t93 (=> @t392 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t402) @t401)))) % 28.11/28.83 (assume @p230 (forall @t94 (=> @t392 (=> @t393 @t401)))) % 28.11/28.83 (assume @p231 (forall @t94 (=> @t392 (=> @t380 (=> @t373 (tptp.c_Orderings_Oord__class_Oless @t19 @t402 @t193)))))) % 28.11/28.83 (assume @p232 (forall @t94 (=> @t392 (=> @t380 (=> @t373 @t394))))) % 28.11/28.83 (assume @p233 (forall @t94 (=> @t392 (=> @t380 (=> @t378 @t393))))) % 28.11/28.83 (assume @p234 (forall @t349 (=> @t238 (=> @t403 (= @t399 @t327))))) % 28.11/28.83 (assume @p235 (forall @t349 (=> @t238 (= @t399 @t404)))) % 28.11/28.83 (assume @p236 (forall @t351 (=> @t238 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t406 @t405) @t404)))) % 28.11/28.83 (assume @p237 (forall @t257 (=> @t356 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t407 @t193))))) % 28.11/28.83 (assume @p238 (forall @t194 (=> @t128 (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t276)))) % 28.11/28.83 (assume @p239 (forall @t194 (=> @t128 (not (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t193))))) % 28.11/28.83 (assume @p240 (forall @t165 (= (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t173) @t174) @t408))) % 28.11/28.83 (assume @p241 (forall @t57 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t409 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t219))))) % 28.11/28.83 (assume @p242 (forall @t202 (= (= @t173 @t213) @t200))) % 28.11/28.83 (assume @p243 (= @t410 @t213)) % 28.11/28.83 (assume @p244 (= @t213 @t410)) % 28.11/28.83 (assume @p245 (forall @t411 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t214 @t213)))) % 28.11/28.83 (assume @p246 (forall @t95 (=> @t413 (= @t412 (tptp.hAPP (tptp.hAPP @t234 @t315) @t47))))) % 28.11/28.83 (assume @p247 (forall @t206 (=> @t414 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t53 @t53) (tptp.hAPP (tptp.hAPP @t234 @t357) @t53))))) % 28.11/28.83 (assume @p248 (forall (@list @t80 @t53 @t19) (=> @t414 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t53 @t416) @t415)))) % 28.11/28.83 (assume @p249 (forall (@list @t53 @t80 @t19) (=> @t414 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t416 @t53) @t415)))) % 28.11/28.83 (assume @p250 (forall @t101 (=> @t231 (= @t418 (= @t96 @t417))))) % 28.11/28.83 (assume @p251 (forall (@list @t341 @t81 @t83 @t80 @t419 @t19) (=> @t421 (=> (not (= @t419 @t193)) (=> (and @t91 (not (= @t81 @t341))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 (tptp.hAPP @t420 @t81)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t83 (tptp.hAPP @t420 @t341))))))))) % 28.11/28.83 (assume @p252 (forall @t94 (=> @t422 (= @t319 @t321)))) % 28.11/28.83 (assume @p253 (forall (@list @t47 @t423 @t19) (=> @t422 (= (tptp.hAPP @t424 @t412) (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t425))))) % 28.11/28.83 (assume @p254 (forall @t94 (=> @t422 (= @t320 @t321)))) % 28.11/28.83 (assume @p255 (forall @t39 (= @t140 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t283 @t38)))) % 28.11/28.83 (assume @p256 (forall @t39 (= @t140 @t426))) % 28.11/28.83 (assume @p257 (forall @t143 (=> (= @t53 @t282) (or (= @t38 @t283) @t427)))) % 28.11/28.83 (assume @p258 (forall @t143 (= (tptp.hAPP @t281 @t140) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t282)))) % 28.11/28.83 (assume @p259 (forall @t143 (= (tptp.hAPP (tptp.hAPP @t280 @t141) @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t282)))) % 28.11/28.83 (assume @p260 (forall @t429 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t428) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t41 @t428)) @t44))) % 28.11/28.83 (assume @p261 (forall @t432 (= (= @t431 @t430) @t44))) % 28.11/28.83 (assume @p262 (forall @t436 (= (tptp.hAPP (tptp.hAPP @t280 @t279) @t153) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t434)))) % 28.11/28.83 (assume @p263 (forall @t436 (= (tptp.hAPP (tptp.hAPP @t280 @t282) @t153) (tptp.hAPP @t281 @t434)))) % 28.11/28.83 (assume @p264 (forall @t436 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t279 @t153) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t437)))) % 28.11/28.83 (assume @p265 (forall @t46 (= (= @t440 @t283) @t438))) % 28.11/28.83 (assume @p266 (forall @t444 (= (tptp.hAPP @t441 @t279) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t442)))) % 28.11/28.83 (assume @p267 (forall @t262 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t47 @t445) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t48 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t47 @t72))))) % 28.11/28.83 (assume @p268 (forall @t143 (= @t282 @t446))) % 28.11/28.83 (assume @p269 (forall @t143 (= @t279 @t447))) % 28.11/28.83 (assume @p270 (forall @t39 (= (tptp.hAPP @t433 @t283) @t38))) % 28.11/28.83 (assume @p271 (forall @t46 (= (= @t283 @t440) @t438))) % 28.11/28.83 (assume @p272 (forall @t39 (= (tptp.hAPP (tptp.hAPP @t280 @t283) @t38) @t38))) % 28.11/28.83 (assume @p273 (forall @t39 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t38) @t38))) % 28.11/28.83 (assume @p274 (forall @t196 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t186) @t53))) % 28.11/28.83 (assume @p275 (forall @t46 (= (= @t448 @t186) (and @t207 @t200)))) % 28.11/28.83 (assume @p276 (forall @t143 (=> (= @t279 @t53) @t203))) % 28.11/28.83 (assume @p277 (forall @t39 (= (tptp.hAPP (tptp.hAPP @t280 @t186) @t38) @t186))) % 28.11/28.83 (assume @p278 (forall @t196 (= (tptp.hAPP @t281 @t186) @t186))) % 28.11/28.83 (assume @p279 (forall @t46 (= (= @t440 @t186) (or @t207 @t200)))) % 28.11/28.83 (assume @p280 (forall @t432 (= @t454 @t450))) % 28.11/28.83 (assume @p281 (forall @t429 (= (= @t457 @t456) @t450))) % 28.11/28.83 (assume @p282 (forall @t143 (= @t459 @t458))) % 28.11/28.83 (assume @p283 (forall @t143 (= @t460 @t458))) % 28.11/28.83 (assume @p284 (forall @t143 (= @t460 @t459))) % 28.11/28.83 (assume @p285 (forall (@list @t157 @t154) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t154)))) % 28.11/28.83 (assume @p286 (forall (@list @t154 @t157) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t462 @t154)))) % 28.11/28.83 (assume @p287 (forall @t432 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t431 @t430) @t43))) % 28.11/28.83 (assume @p288 (forall @t464 (=> @t159 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t463)))) % 28.11/28.83 (assume @p289 (forall @t464 (=> @t159 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t465)))) % 28.11/28.83 (assume @p290 (forall @t262 (=> @t49 @t466))) % 28.11/28.83 (assume @p291 (forall @t467 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t47 @t72) @t466))) % 28.11/28.83 (assume @p292 (forall @t160 (=> @t159 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t469 @t468)))) % 28.11/28.83 (assume @p293 (forall @t473 (=> @t159 (=> @t472 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t469 @t471))))) % 28.11/28.83 (assume @p294 (forall (@list @t38 @t53 @t470 @t153) (=> @t472 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t470) @t474) @t133)))) % 28.11/28.83 (assume @p295 (forall @t160 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t153) @t191))) % 28.11/28.83 (assume @p296 (forall @t432 (= (= @t477 @t476) @t44))) % 28.11/28.83 (assume @p297 (forall (@list @t2 @t40 @t41 @t19) (= (tptp.hAPP @t180 @t478) (tptp.hAPP (tptp.hAPP @t179 @t440) @t2)))) % 28.11/28.83 (assume @p298 (forall @t46 (= (= @t208 @t448) @t481))) % 28.11/28.83 (assume @p299 (forall @t46 (= (= @t448 @t208) @t481))) % 28.11/28.83 (assume @p300 (forall @t46 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t448) (or @t482 @t199)))) % 28.11/28.83 (assume @p301 (forall @t46 (= @t43 (exists @t485 (= @t41 (tptp.c_Nat_OSuc @t484)))))) % 28.11/28.83 (assume @p302 (forall @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t154))))) % 28.11/28.83 (assume @p303 (forall @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t53))))) % 28.11/28.83 (assume @p304 (forall @t46 (= (= @t440 @t208) (and @t480 @t479)))) % 28.11/28.83 (assume @p305 (forall @t160 (=> @t159 (=> @t217 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t488 @t487))))) % 28.11/28.83 (assume @p306 (forall @t160 (=> @t159 (=> @t217 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t492 @t490))))) % 28.11/28.83 (assume @p307 (forall @t429 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t457 @t456) @t494))) % 28.11/28.83 (assume @p308 (forall @t432 (= @t495 @t494))) % 28.11/28.83 (assume @p309 (forall @t46 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t440) (and @t482 @t199)))) % 28.11/28.83 (assume @p310 (forall @t432 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t476) @t43))) % 28.11/28.83 (assume @p311 (= @t283 @t208)) % 28.11/28.83 (assume @p312 (forall (@list @t72 @t38 @t53) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t219 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t409 @t72)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t496 @t72)))) % 28.11/28.83 (assume @p313 (forall @t52 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t498 @t497) (tptp.hAPP @t172 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t47 @t48))))) % 28.11/28.83 (assume @p314 (forall @t143 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t219 @t409) @t496))) % 28.11/28.83 (assume @p315 (forall @t143 (= @t500 @t499))) % 28.11/28.83 (assume @p316 (forall @t143 (= @t499 @t500))) % 28.11/28.83 (assume @p317 (forall @t52 (= (tptp.hAPP (tptp.hAPP @t215 @t498) @t497) (tptp.hAPP @t172 (tptp.hAPP (tptp.hAPP @t280 @t47) @t48))))) % 28.11/28.83 (assume @p318 (= @t221 @t501)) % 28.11/28.83 (assume @p319 (= @t501 @t221)) % 28.11/28.83 (assume @p320 (forall (@list @t2 @t41 @t40 @t19) (= (tptp.hAPP (tptp.hAPP @t179 @t448) @t2) (tptp.hAPP (tptp.c_Fun_Ocomp @t19 @t19 @t19 @t478) @t181)))) % 28.11/28.83 (assume @p321 (forall @t57 (=> @t503 (=> @t502 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t208 @t282))))) % 28.11/28.83 (assume @p322 (forall @t57 (=> @t503 (=> @t502 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t446))))) % 28.11/28.83 (assume @p323 (forall @t57 (=> @t503 (=> @t502 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t282))))) % 28.11/28.83 (assume @p324 (forall @t515 (=> @t414 (= @t514 (tptp.hAPP @t510 (tptp.hAPP @t506 @t504)))))) % 28.11/28.83 (assume @p325 (forall @t515 (=> @t414 (= @t514 (tptp.hAPP @t511 (tptp.hAPP @t513 @t504)))))) % 28.11/28.83 (assume @p326 (forall @t515 (=> @t414 (= @t514 (tptp.hAPP @t509 (tptp.hAPP @t506 @t512)))))) % 28.11/28.83 (assume @p327 (forall @t517 (=> @t414 (= @t516 (tptp.hAPP @t510 @t505))))) % 28.11/28.83 (assume @p328 (forall @t517 (=> @t414 (= @t516 (tptp.hAPP @t509 (tptp.hAPP @t506 @t507)))))) % 28.11/28.83 (assume @p329 (forall @t519 (=> @t414 (= @t518 (tptp.hAPP @t510 @t504))))) % 28.11/28.83 (assume @p330 (forall @t519 (=> @t414 (= @t518 (tptp.hAPP @t511 (tptp.hAPP @t509 @t504)))))) % 28.11/28.83 (assume @p331 (forall @t94 (=> @t414 (= @t299 @t402)))) % 28.11/28.83 (assume @p332 (forall @t347 (=> @t414 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t230 @t520) (tptp.c_Groups_Oplus__class_Oplus @t19 @t304 @t342))))) % 28.11/28.83 (assume @p333 (forall @t90 (=> @t414 (= @t295 (tptp.c_Groups_Oplus__class_Oplus @t19 @t304 @t83))))) % 28.11/28.83 (assume @p334 (forall @t90 (=> @t414 @t296))) % 28.11/28.83 (assume @p335 (forall @t522 (=> @t414 (= @t521 (tptp.c_Groups_Oplus__class_Oplus @t19 @t304 @t341))))) % 28.11/28.83 (assume @p336 (forall @t522 (=> @t414 (= @t521 (tptp.c_Groups_Oplus__class_Oplus @t19 @t81 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t341)))))) % 28.11/28.83 (assume @p337 (forall (@list @t81 @t80 @t19) (=> @t414 (= @t304 @t306)))) % 28.11/28.83 (assume @p338 (forall @t95 (=> @t422 (= (tptp.hAPP @t353 @t193) @t193)))) % 28.11/28.83 (assume @p339 (forall @t257 (=> @t422 @t365))) % 28.11/28.83 (assume @p340 (forall @t257 (=> @t414 @t365))) % 28.11/28.83 (assume @p341 (forall (@list @t48 @t19) (=> @t422 (= (tptp.hAPP @t367 @t48) @t193)))) % 28.11/28.83 (assume @p342 (forall (@list @t83 @t19) (=> @t422 (= (tptp.hAPP @t367 @t83) @t193)))) % 28.11/28.83 (assume @p343 (forall @t257 (=> @t414 @t368))) % 28.11/28.83 (assume @p344 (forall @t329 (=> @t421 (= (= @t31 @t303) @t323)))) % 28.11/28.83 (assume @p345 (forall @t257 (=> @t414 @t334))) % 28.11/28.83 (assume @p346 (forall @t257 (=> @t414 @t330))) % 28.11/28.83 (assume @p347 (forall (@list @t226 @t21 @t96 @t225 @t19) (=> @t421 (= (= (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t523 @t96) (tptp.hAPP @t235 @t226)) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t523 @t226) (tptp.hAPP @t235 @t96))) (or (= @t225 @t21) (= @t96 @t226)))))) % 28.11/28.83 (assume @p348 (forall (@list @t83 @t53 @t80 @t19) (=> @t414 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t416 (tptp.hAPP @t297 @t53)) (tptp.hAPP @t309 @t53))))) % 28.11/28.83 (assume @p349 (forall @t528 (=> @t422 (= (tptp.hAPP (tptp.hAPP @t234 @t527) @t524) (tptp.c_Groups_Oplus__class_Oplus @t19 @t526 @t525))))) % 28.11/28.83 (assume @p350 (forall @t531 (=> @t422 (= (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t529)) @t83) (tptp.c_Groups_Oplus__class_Oplus @t19 @t299 @t530))))) % 28.11/28.83 (assume @p351 (forall @t90 (=> @t414 @t314))) % 28.11/28.83 (assume @p352 (forall @t533 (=> @t421 (= (and (not @t293) (not @t532)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t406 (tptp.hAPP @t310 @t35)) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t311 @t35) @t405))))))) % 28.11/28.83 (assume @p353 (forall @t535 (=> @t422 (= (tptp.hAPP @t424 @t527) (tptp.c_Groups_Oplus__class_Oplus @t19 @t425 @t534))))) % 28.11/28.83 (assume @p354 (forall @t79 (=> @t414 (= (tptp.hAPP @t353 (tptp.c_Groups_Oplus__class_Oplus @t19 @t48 @t72)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t536 (tptp.hAPP @t353 @t72)))))) % 28.11/28.83 (assume @p355 (forall @t539 (=> @t422 (= (tptp.hAPP @t290 (tptp.c_Groups_Oplus__class_Oplus @t19 @t83 @t537)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t299 @t538))))) % 28.11/28.83 (assume @p356 (forall @t257 (=> @t414 @t291))) % 28.11/28.83 (assume @p357 (forall @t257 (=> @t414 @t286))) % 28.11/28.83 (assume @p358 (forall @t70 (=> @t422 (= (tptp.hAPP (tptp.hAPP @t234 @t412) @t48) (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t536))))) % 28.11/28.83 (assume @p359 (forall @t432 (=> @t493 (= @t454 @t44)))) % 28.11/28.83 (assume @p360 (forall @t432 (=> @t493 (= @t495 @t43)))) % 28.11/28.83 (assume @p361 (forall (@list @t153 @t157 @t540 @t154) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t541 @t153)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t461) @t540) @t153)))) % 28.11/28.83 (assume @p362 (forall @t432 (= @t454 (or @t449 @t44)))) % 28.11/28.83 (assume @p363 (forall @t212 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t47 @t213) (exists @t116 (= @t47 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t224)))))) % 28.11/28.83 (assume @p364 (forall @t411 (=> @t326 (exists @t116 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t7) (= @t153 @t543)))))) % 28.11/28.83 (assume @p365 (forall @t550 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t19) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t47 @t80) (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t48 @t80) (=> @t549 (=> @t548 (=> @t546 (tptp.c_Orderings_Oord__class_Oless @t19 @t545 @t80))))))))) % 28.11/28.83 (assume @p366 (tptp.hBOOL (tptp.hAPP @t552 tptp.v_r))) % 28.11/28.83 (assume @p367 (forall @t95 (=> @t71 (tptp.hBOOL (tptp.hAPP @t553 @t47))))) % 28.11/28.83 (assume @p368 (forall @t39 (tptp.hBOOL (tptp.hAPP @t554 @t38)))) % 28.11/28.83 (assume @p369 (forall @t57 (tptp.hBOOL (tptp.hAPP @t556 @t219)))) % 28.11/28.83 (assume @p370 (forall @t129 (=> @t128 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t127) @t126)) @t558)))) % 28.11/28.83 (assume @p371 (forall @t70 (=> @t69 (=> (not @t561) @t560)))) % 28.11/28.83 (assume @p372 (forall (@list @t21 @t1 @t2 @t19 @t17) (=> @t564 (=> @t563 (tptp.hBOOL (tptp.hAPP @t562 @t22)))))) % 28.11/28.83 (assume @p373 (forall @t76 (=> @t75 (=> @t560 (=> @t566 (tptp.hBOOL (tptp.hAPP @t565 @t47))))))) % 28.11/28.83 (assume @p374 (forall @t567 (=> @t75 (=> @t560 (=> @t561 @t50))))) % 28.11/28.83 (assume @p375 (forall @t79 (=> @t71 (=> @t561 (=> @t568 (tptp.hBOOL (tptp.hAPP @t553 @t72))))))) % 28.11/28.83 (assume @p376 (forall @t70 (=> @t75 (=> @t561 (=> @t560 @t50))))) % 28.11/28.83 (assume @p377 (forall @t86 (=> @t75 (=> @t572 (=> @t84 @t570))))) % 28.11/28.83 (assume @p378 (forall @t90 (=> @t89 (=> @t575 (=> @t84 @t574))))) % 28.11/28.83 (assume @p379 (forall @t90 (=> @t75 (=> @t91 (=> (tptp.hBOOL (tptp.hAPP @t569 @t83)) @t570))))) % 28.11/28.83 (assume @p380 (forall @t90 (=> @t89 (=> @t91 (=> @t576 @t574))))) % 28.11/28.83 (assume @p381 (forall @t104 (=> @t75 (=> @t579 @t578)))) % 28.11/28.83 (assume @p382 (forall @t70 (=> @t71 (=> @t50 @t561)))) % 28.11/28.83 (assume @p383 (forall @t101 (=> @t75 (= @t99 (and @t577 @t579))))) % 28.11/28.83 (assume @p384 (forall @t70 (=> @t69 (or @t561 @t560)))) % 28.11/28.83 (assume @p385 (forall @t580 (=> @t564 (= @t563 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t17 @t5) @t4))))))) % 28.11/28.83 (assume @p386 (forall @t46 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t174) @t173)) @t558))) % 28.11/28.83 (assume @p387 (forall @t178 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t177) @t176)) @t581))) % 28.11/28.83 (assume @p388 (forall @t76 (=> @t75 (=> @t560 @t74)))) % 28.11/28.83 (assume @p389 (forall @t79 (=> @t71 (=> @t561 @t78)))) % 28.11/28.83 (assume @p390 (forall @t76 (=> @t75 (=> @t66 (=> @t566 @t73))))) % 28.11/28.83 (assume @p391 (forall @t79 (=> @t71 (=> @t67 (=> @t568 @t77))))) % 28.11/28.83 (assume @p392 (forall @t93 (=> @t75 (=> @t572 (=> @t582 @t85))))) % 28.11/28.83 (assume @p393 (forall @t94 (=> @t75 (=> @t575 (=> @t582 @t88))))) % 28.11/28.83 (assume @p394 (forall @t70 (=> @t75 (=> @t561 (or @t67 @t50))))) % 28.11/28.83 (assume @p395 (forall @t101 (=> @t69 (=> @t577 @t103)))) % 28.11/28.83 (assume @p396 (forall @t70 (=> @t71 (=> @t67 @t561)))) % 28.11/28.83 (assume @p397 (forall @t567 (=> @t69 (=> @t560 @t68)))) % 28.11/28.83 (assume @p398 (forall @t94 (=> @t75 (=> @t582 (=> @t572 @t85))))) % 28.11/28.83 (assume @p399 (forall @t94 (=> @t75 (=> @t582 (=> @t575 @t88))))) % 28.11/28.83 (assume @p400 (forall @t101 (=> @t69 (=> @t102 @t578)))) % 28.11/28.83 (assume @p401 (forall @t567 (=> @t69 (=> (not @t560) @t67)))) % 28.11/28.83 (assume @p402 (forall @t70 (=> @t69 (=> @t68 @t560)))) % 28.11/28.83 (assume @p403 (forall @t101 (=> @t75 (= @t577 (or @t98 @t99))))) % 28.11/28.83 (assume @p404 (forall @t101 (=> @t71 (= @t98 (and @t577 (not @t579)))))) % 28.11/28.83 (assume @p405 (forall @t101 (=> @t75 (= @t98 (and @t577 @t100))))) % 28.11/28.83 (assume @p406 (forall @t70 (=> @t69 (or @t561 @t66)))) % 28.11/28.83 (assume @p407 (forall @t101 (=> @t69 (= (not @t577) @t97)))) % 28.11/28.83 (assume @p408 (forall @t101 (=> @t69 (= @t102 @t579)))) % 28.11/28.83 (assume @p409 (forall @t351 (=> @t337 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t300) @t350)) @t584)))) % 28.11/28.83 (assume @p410 (forall @t349 (=> @t337 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t302) @t348)) @t584)))) % 28.11/28.83 (assume @p411 (forall @t90 (=> @t587 (=> @t575 @t586)))) % 28.11/28.83 (assume @p412 (forall @t90 (=> @t587 (=> @t575 @t588)))) % 28.11/28.83 (assume @p413 (forall @t347 (=> @t587 (=> @t575 (=> @t589 (tptp.hBOOL (tptp.hAPP @t585 @t342))))))) % 28.11/28.83 (assume @p414 (forall @t340 (=> @t337 (=> @t586 @t575)))) % 28.11/28.83 (assume @p415 (forall @t338 (=> @t337 (=> @t588 @t575)))) % 28.11/28.83 (assume @p416 (forall @t266 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t583 @t264)) (tptp.hBOOL (tptp.hAPP @t590 @t292)))))) % 28.11/28.83 (assume @p417 (forall @t266 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t592 @t31)) (tptp.hBOOL (tptp.hAPP @t591 @t32)))))) % 28.11/28.83 (assume @p418 (forall @t329 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t591 @t292)) @t584)))) % 28.11/28.83 (assume @p419 (forall @t94 (=> @t328 (=> @t575 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t284) @t229)))))) % 28.11/28.83 (assume @p420 (forall @t202 (= (tptp.hBOOL (tptp.hAPP @t593 @t186)) @t200))) % 28.11/28.83 (assume @p421 (tptp.hBOOL (tptp.hAPP @t594 @t213))) % 28.11/28.83 (assume @p422 (forall @t143 (=> @t597 @t596))) % 28.11/28.83 (assume @p423 (forall @t143 (=> @t598 (=> (not @t596) (= @t53 @t140))))) % 28.11/28.83 (assume @p424 (forall @t143 (=> @t596 @t598))) % 28.11/28.83 (assume @p425 (forall @t165 (= (tptp.hBOOL (tptp.hAPP @t600 @t162)) @t599))) % 28.11/28.83 (assume @p426 (forall @t46 (= (tptp.hBOOL (tptp.hAPP @t557 @t166)) (or @t558 (= @t40 @t166))))) % 28.11/28.83 (assume @p427 (forall @t46 (= (not @t558) @t601))) % 28.11/28.83 (assume @p428 (forall @t39 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t140) @t38))))) % 28.11/28.83 (assume @p429 (forall @t143 (=> (or @t133 @t54) @t596))) % 28.11/28.83 (assume @p430 (forall @t143 (=> @t596 (=> @t55 @t133)))) % 28.11/28.83 (assume @p431 (forall @t52 (=> @t49 @t603))) % 28.11/28.83 (assume @p432 (forall @t143 (=> @t133 @t596))) % 28.11/28.83 (assume @p433 (forall @t46 (= @t558 @t167))) % 28.11/28.83 (assume @p434 (forall @t46 (= @t43 (and @t558 @t45)))) % 28.11/28.83 (assume @p435 (forall @t57 (tptp.hBOOL (tptp.hAPP @t604 @t279)))) % 28.11/28.83 (assume @p436 (forall @t57 (tptp.hBOOL (tptp.hAPP @t604 @t447)))) % 28.11/28.83 (assume @p437 (forall @t46 (= @t558 (exists @t485 (= @t41 @t484))))) % 28.11/28.83 (assume @p438 (forall @t432 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431) @t430)) @t558))) % 28.11/28.83 (assume @p439 (forall @t464 (=> @t606 (tptp.hBOOL (tptp.hAPP @t605 @t463))))) % 28.11/28.83 (assume @p440 (forall @t464 (=> @t606 (tptp.hBOOL (tptp.hAPP @t605 @t465))))) % 28.11/28.83 (assume @p441 (forall @t262 (=> @t603 @t607))) % 28.11/28.83 (assume @p442 (forall @t467 (=> (tptp.hBOOL (tptp.hAPP @t602 @t72)) @t607))) % 28.11/28.83 (assume @p443 (forall @t160 (=> @t606 (tptp.hBOOL (tptp.hAPP @t608 @t468))))) % 28.11/28.83 (assume @p444 (forall @t473 (=> @t606 (=> @t610 (tptp.hBOOL (tptp.hAPP @t608 @t471)))))) % 28.11/28.83 (assume @p445 (forall @t614 (=> @t613 @t611))) % 28.11/28.83 (assume @p446 (forall @t614 (=> @t613 @t596))) % 28.11/28.83 (assume @p447 (forall @t614 (=> @t613 (not (=> @t596 (not @t611)))))) % 28.11/28.83 (assume @p448 (forall @t616 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t226 @t225) (and (tptp.hBOOL (tptp.hAPP @t615 @t225)) (not (= @t226 @t225)))))) % 28.11/28.83 (assume @p449 (forall @t196 (tptp.hBOOL (tptp.hAPP @t595 @t617)))) % 28.11/28.83 (assume @p450 (forall @t196 (tptp.hBOOL (tptp.hAPP @t595 (tptp.hAPP @t281 @t617))))) % 28.11/28.83 (assume @p451 (forall @t160 (=> @t606 (tptp.hBOOL (tptp.hAPP @t618 @t490))))) % 28.11/28.83 (assume @p452 (forall @t160 (=> @t606 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t488) @t487))))) % 28.11/28.83 (assume @p453 (forall @t473 (=> @t606 (=> @t610 (tptp.hBOOL (tptp.hAPP @t618 (tptp.hAPP @t489 @t470))))))) % 28.11/28.83 (assume @p454 (forall @t160 (=> @t620 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t153 @t154)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t153 @t157)))))) % 28.11/28.83 (assume @p455 (forall (@list @t41 @t2) (=> @t64 (tptp.hBOOL (tptp.hAPP @t593 @t170))))) % 28.11/28.83 (assume @p456 (forall @t123 (=> @t122 (=> @t120 (= (tptp.hBOOL (tptp.hAPP @t562 @t117)) @t577))))) % 28.11/28.83 (assume @p457 (forall @t257 (=> @t356 (tptp.hBOOL (tptp.hAPP @t547 @t407))))) % 28.11/28.83 (assume @p458 (forall @t266 (=> @t238 (= (tptp.hBOOL (tptp.hAPP @t547 @t364)) (or (and @t624 @t623) (and @t622 @t621)))))) % 28.11/28.83 (assume @p459 (forall @t266 (=> @t238 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t364) @t193)) (or (and @t624 @t621) (and @t622 @t623)))))) % 28.11/28.83 (assume @p460 (forall @t94 (=> @t628 (=> @t627 (=> @t626 @t625))))) % 28.11/28.83 (assume @p461 (forall @t94 (=> @t628 (=> @t627 (=> @t630 @t629))))) % 28.11/28.83 (assume @p462 (forall @t94 (=> @t628 (=> @t627 (=> @t630 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t402) @t193))))))) % 28.11/28.83 (assume @p463 (forall @t94 (=> @t628 (=> @t631 (=> @t626 @t629))))) % 28.11/28.83 (assume @p464 (forall @t94 (=> @t632 (=> @t631 (=> @t630 @t625))))) % 28.11/28.83 (assume @p465 (forall @t90 (=> @t636 (=> @t575 (=> @t635 @t634))))) % 28.11/28.83 (assume @p466 (forall @t90 (=> @t636 @t638))) % 28.11/28.83 (assume @p467 (forall @t90 (=> (tptp.class_Rings_Oordered__comm__semiring @t19) @t638))) % 28.11/28.83 (assume @p468 (forall @t86 (=> @t632 (=> @t572 (=> @t639 @t634))))) % 28.11/28.83 (assume @p469 (forall @t86 (=> @t632 (=> @t572 (=> @t639 @t637))))) % 28.11/28.83 (assume @p470 (forall @t347 (=> @t636 (=> @t575 (=> @t589 (=> @t627 @t641)))))) % 28.11/28.83 (assume @p471 (forall @t347 (=> @t636 (=> @t575 (=> @t589 (=> @t626 @t641)))))) % 28.11/28.83 (assume @p472 (forall @t94 (=> @t632 (=> (or (and @t627 @t626) (and @t631 @t630)) @t625)))) % 28.11/28.83 (assume @p473 (forall @t94 (=> @t628 (=> (or (and @t627 @t630) (and @t631 @t626)) @t629)))) % 28.11/28.83 (assume @p474 (forall @t94 (=> @t376 (=> @t631 (=> @t630 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t230) @t193))))))) % 28.11/28.83 (assume @p475 (forall (@list @t80 @t83 @t81 @t19) (=> @t376 (=> @t635 (=> @t572 @t642))))) % 28.11/28.83 (assume @p476 (forall @t90 (=> @t376 (=> @t627 (=> @t576 @t642))))) % 28.11/28.83 (assume @p477 (forall @t101 (=> @t376 (=> (tptp.hBOOL (tptp.hAPP @t547 @t21)) (=> (tptp.hBOOL (tptp.hAPP @t547 @t96)) (= @t418 @t233)))))) % 28.11/28.83 (assume @p478 (forall @t94 (=> @t376 (=> @t627 (=> @t626 (tptp.hBOOL (tptp.hAPP @t547 @t230))))))) % 28.11/28.83 (assume @p479 (forall @t322 (=> @t324 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t333) @t193)) @t622)))) % 28.11/28.83 (assume @p480 (forall @t322 (=> @t324 (= (tptp.hBOOL (tptp.hAPP @t547 @t333)) @t624)))) % 28.11/28.83 (assume @p481 (forall @t347 (=> @t346 (=> @t88 (=> @t589 @t343))))) % 28.11/28.83 (assume @p482 (forall @t347 (=> @t346 (=> @t575 @t345)))) % 28.11/28.83 (assume @p483 (forall @t194 (=> @t128 (not (tptp.hBOOL (tptp.hAPP @t643 @t193)))))) % 28.11/28.83 (assume @p484 (forall @t194 (=> @t128 (tptp.hBOOL (tptp.hAPP @t547 @t276))))) % 28.11/28.83 (assume @p485 (forall @t322 (=> @t324 (= (tptp.hBOOL (tptp.hAPP @t592 @t32)) @t624)))) % 28.11/28.83 (assume @p486 (forall @t322 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t592 @t193)) @t624)))) % 28.11/28.83 (assume @p487 (forall @t322 (=> @t324 (= (tptp.hBOOL (tptp.hAPP @t583 @t292)) @t622)))) % 28.11/28.83 (assume @p488 (forall @t322 (=> @t328 (= (tptp.hBOOL (tptp.hAPP @t547 @t292)) @t622)))) % 28.11/28.83 (assume @p489 (forall @t644 (=> @t128 (tptp.hBOOL (tptp.hAPP @t547 @t130))))) % 28.11/28.83 (assume @p490 (forall @t206 (=> @t128 (tptp.hBOOL (tptp.hAPP @t547 @t131))))) % 28.11/28.83 (assume @p491 (forall @t432 (=> @t493 (= @t645 @t558)))) % 28.11/28.83 (assume @p492 (forall @t165 (= @t42 @t601))) % 28.11/28.83 (assume @p493 (forall @t46 (= @t168 @t558))) % 28.11/28.83 (assume @p494 (forall @t46 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162) @t41)) @t43))) % 28.11/28.83 (assume @p495 (forall @t143 (=> @t596 @t152))) % 28.11/28.83 (assume @p496 (forall @t143 (=> @t133 @t597))) % 28.11/28.83 (assume @p497 (forall @t46 (=> @t558 @t164))) % 28.11/28.83 (assume @p498 (forall @t143 (=> @t597 @t133))) % 28.11/28.83 (assume @p499 (forall @t432 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t477) @t476)) @t558))) % 28.11/28.83 (assume @p500 (tptp.hBOOL (tptp.hAPP @t594 @t221))) % 28.11/28.83 (assume @p501 (forall @t52 (=> @t648 (=> @t647 (tptp.hBOOL (tptp.hAPP @t594 @t646)))))) % 28.11/28.83 (assume @p502 (forall @t52 (=> @t648 (=> @t647 (tptp.hBOOL (tptp.hAPP @t594 @t649)))))) % 28.11/28.83 (assume @p503 (forall @t653 (= (forall @t6 (=> @t652 @t651)) (forall @t6 @t650)))) % 28.11/28.83 (assume @p504 (forall @t653 (= (exists @t6 (and @t652 @t651)) (exists @t6 @t650)))) % 28.11/28.83 (assume @p505 (forall @t254 (tptp.hBOOL (tptp.hAPP @t594 (tptp.hAPP @t172 @t72))))) % 28.11/28.83 (assume @p506 (forall @t39 (tptp.hBOOL (tptp.hAPP @t594 @t409)))) % 28.11/28.83 (assume @p507 (forall (@list @t72 @t654 @t239 @t655) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t655 @t239) (=> @t656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t655 @t654) @t268))))) % 28.11/28.83 (assume @p508 (forall @t228 (= @t658 (exists @t116 (= @t226 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t225 @t543)))))) % 28.11/28.83 (assume @p509 (forall @t349 (=> @t238 (=> @t403 (= @t659 @t584))))) % 28.11/28.83 (assume @p510 (forall @t349 (=> @t238 (=> @t400 (= @t659 (tptp.hBOOL (tptp.hAPP @t590 @t32))))))) % 28.11/28.83 (assume @p511 (forall @t347 (=> @t392 (=> @t88 (=> @t344 (=> @t378 @t661)))))) % 28.11/28.83 (assume @p512 (forall @t347 (=> @t392 (=> @t88 (=> @t344 (=> @t627 @t661)))))) % 28.11/28.83 (assume @p513 (forall @t347 (=> @t392 (=> @t88 (=> @t589 (=> @t627 (=> @t390 @t660))))))) % 28.11/28.83 (assume @p514 (forall @t347 (=> @t392 (=> @t575 (=> @t344 (=> @t380 @t661)))))) % 28.11/28.83 (assume @p515 (forall @t340 (=> @t664 @t663))) % 28.11/28.83 (assume @p516 (forall @t340 (=> @t392 @t663))) % 28.11/28.83 (assume @p517 (forall @t338 (=> @t664 @t665))) % 28.11/28.83 (assume @p518 (forall @t338 (=> @t392 @t665))) % 28.11/28.83 (assume @p519 (forall @t340 (=> @t392 (=> @t634 @t666)))) % 28.11/28.83 (assume @p520 (forall @t338 (=> @t392 (=> @t637 @t666)))) % 28.11/28.83 (assume @p521 (forall @t94 (=> @t376 (=> @t631 @t374)))) % 28.11/28.83 (assume @p522 (forall @t94 (=> @t376 (=> @t375 (=> @t630 @t372))))) % 28.11/28.83 (assume @p523 (forall @t90 (=> @t376 (=> @t627 @t383)))) % 28.11/28.83 (assume @p524 (forall @t90 (=> @t376 (=> @t380 (=> @t576 @t382))))) % 28.11/28.83 (assume @p525 (forall @t94 (=> @t376 (=> @t627 @t379)))) % 28.11/28.83 (assume @p526 (forall @t94 (=> @t376 (=> @t380 (=> @t626 @t377))))) % 28.11/28.83 (assume @p527 (forall @t101 (=> @t238 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t237) @t193)) @t233)))) % 28.11/28.83 (assume @p528 (forall @t70 (=> @t356 (tptp.hBOOL (tptp.hAPP @t547 @t355))))) % 28.11/28.83 (assume @p529 (forall @t70 (=> @t113 (=> @t669 (=> @t668 (=> @t667 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t536) @t47)))))))) % 28.11/28.83 (assume @p530 (forall @t70 (=> @t113 (=> @t669 (=> @t668 (=> @t667 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.hAPP @t352 @t47)) @t47)))))))) % 28.11/28.83 (assume @p531 (forall @t46 (= (tptp.hBOOL (tptp.hAPP @t670 @t440)) (and (tptp.hBOOL (tptp.hAPP @t670 @t40)) (tptp.hBOOL (tptp.hAPP @t670 @t41)))))) % 28.11/28.83 (assume @p532 (forall @t432 (= @t645 @t671))) % 28.11/28.83 (assume @p533 (forall @t429 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t457) @t456)) @t671))) % 28.11/28.83 (assume @p534 (forall @t202 (= (tptp.hBOOL (tptp.hAPP @t672 @t213)) @t200))) % 28.11/28.83 (assume @p535 (forall @t275 (= (tptp.hBOOL (tptp.hAPP @t674 @t226)) @t673))) % 28.11/28.83 (assume @p536 (forall @t228 (= @t273 @t658))) % 28.11/28.83 (assume @p537 (forall @t228 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t225 @t221)) @t226)) @t227))) % 28.11/28.83 (assume @p538 (forall (@list @t72 @t239) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t239 @t72) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t239 @t221)) @t72))))) % 28.11/28.83 (assume @p539 (forall @t165 (= (tptp.hBOOL (tptp.hAPP @t672 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t174))) @t408))) % 28.11/28.83 (assume @p540 (forall @t39 (tptp.hBOOL (tptp.hAPP @t556 @t213)))) % 28.11/28.83 (assume @p541 (forall @t550 (=> (tptp.class_Rings_Olinordered__semiring__1 @t19) (=> (tptp.hBOOL (tptp.hAPP @t553 @t80)) (=> (tptp.hBOOL (tptp.hAPP @t559 @t80)) (=> @t549 (=> @t548 (=> @t546 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t545) @t80)))))))))) % 28.11/28.83 (assume @p542 (forall @t254 (=> @t675 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t271)))) % 28.11/28.83 (assume @p543 (forall @t39 (not (tptp.hBOOL (tptp.hAPP @t594 @t220))))) % 28.11/28.83 (assume @p544 (forall @t681 (=> @t680 (=> @t679 (=> @t678 (tptp.hBOOL (tptp.hAPP @t677 @t221))))))) % 28.11/28.83 (assume @p545 (forall @t681 (=> @t680 (=> @t679 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t419 @t80) (tptp.hBOOL (tptp.hAPP @t674 @t676))))))) % 28.11/28.83 (assume @p546 (forall @t688 (=> @t687 (=> @t685 (=> @t683 (tptp.hBOOL (tptp.hAPP @t594 @t682))))))) % 28.11/28.83 (assume @p547 (forall @t688 (=> @t691 (=> @t690 (=> @t683 (tptp.hBOOL (tptp.hAPP @t689 @t213))))))) % 28.11/28.83 (assume @p548 (forall @t697 (=> @t696 (=> @t690 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t684 @t83) (=> @t693 @t692)))))) % 28.11/28.83 (assume @p549 (forall @t178 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t699) @t551)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t96) @t698))))) % 28.11/28.83 (assume @p550 (forall @t178 (= (tptp.hBOOL (tptp.hAPP @t552 @t699)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t698) @t96))))) % 28.11/28.83 (assume @p551 (forall @t708 (=> @t707 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t706) @t704)) @t701)))) % 28.11/28.83 (assume @p552 (forall @t708 (=> @t707 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t709 @t21)) (tptp.hAPP @t709 @t96))) @t701)))) % 28.11/28.83 (assume @p553 (forall (@list @t47 @t540) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t702 @t540) @t540))) (tptp.hAPP @t710 @t47))))) % 28.11/28.83 (assume @p554 (forall @t262 (=> @t712 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t47)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t48)))))) % 28.11/28.83 (assume @p555 (forall @t253 (=> @t716 (=> @t715 @t713)))) % 28.11/28.83 (assume @p556 (forall @t160 (=> (tptp.hBOOL (tptp.hAPP @t717 @t157)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t157) @t153)) (tptp.hBOOL (tptp.hAPP @t717 @t153)))))) % 28.11/28.83 (assume @p557 (forall @t253 (or @t716 @t715))) % 28.11/28.83 (assume @p558 (forall @t718 (tptp.hBOOL (tptp.hAPP @t714 @t239)))) % 28.11/28.83 (assume @p559 (forall @t178 (= @t701 (or @t719 @t99)))) % 28.11/28.83 (assume @p560 (forall @t178 (= @t719 (and @t701 @t100)))) % 28.11/28.83 (assume @p561 (forall @t253 (=> @t723 (=> @t721 @t713)))) % 28.11/28.83 (assume @p562 (forall @t160 (=> @t620 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157) @t153)) (tptp.hBOOL (tptp.hAPP @t619 @t153)))))) % 28.11/28.83 (assume @p563 (forall @t253 (or @t723 @t721))) % 28.11/28.83 (assume @p564 (forall @t718 (tptp.hBOOL (tptp.hAPP @t720 @t239)))) % 28.11/28.83 (assume @p565 (forall @t580 (=> @t564 (= (tptp.c_Orderings_Oord__class_Oless @t195 @t2 @t1) (and @t563 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t195 @t1) @t2)))))))) % 28.11/28.83 (assume @p566 (forall @t143 (=> @t596 (=> @t724 @t54)))) % 28.11/28.83 (assume @p567 (forall @t160 (=> @t606 (=> (tptp.hBOOL (tptp.hAPP @t725 @t153)) (tptp.hBOOL (tptp.hAPP @t605 @t153)))))) % 28.11/28.83 (assume @p568 (forall @t143 (=> @t54 @t596))) % 28.11/28.83 (assume @p569 (forall @t143 (or @t596 @t724))) % 28.11/28.83 (assume @p570 (forall @t39 (tptp.hBOOL (tptp.hAPP @t604 @t38)))) % 28.11/28.83 (assume @p571 (forall (@list @t48 @t47 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 @t48) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t726 @t47) (tptp.hAPP @t726 @t48)))))) % 28.11/28.83 (assume @p572 (forall @t52 (=> @t729 (=> @t728 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t727))))) % 28.11/28.83 (assume @p573 (forall @t708 (=> @t707 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t706 @t704) @t719)))) % 28.11/28.83 (assume @p574 (forall @t178 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t699 @t551) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t96 @t698)))) % 28.11/28.83 (assume @p575 (forall @t178 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t699) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t698 @t96)))) % 28.11/28.83 (assume @p576 (not (= @t551 @t730))) % 28.11/28.83 (assume @p577 (forall @t178 (= (= @t699 @t551) (= @t96 @t698)))) % 28.11/28.83 (assume @p578 (forall @t731 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t21 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t32)) @t551) (= @t21 @t32)))) % 28.11/28.83 (assume @p579 (forall @t178 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t733 (tptp.hAPP @t703 @t96)) @t551) (and @t732 (= @t96 @t551))))) % 28.11/28.83 (assume @p580 (forall @t735 (=> @t734 (= (= (tptp.hAPP (tptp.hAPP @t702 @t32) @t30) (tptp.hAPP (tptp.hAPP @t702 @t31) @t30)) @t293)))) % 28.11/28.83 (assume @p581 (forall @t735 (=> @t734 (= (= (tptp.hAPP @t736 @t32) (tptp.hAPP @t736 @t31)) @t293)))) % 28.11/28.83 (assume @p582 (forall @t739 (=> @t738 (=> @t691 (=> @t693 (=> @t690 (=> @t683 (=> @t737 @t692)))))))) % 28.11/28.83 (assume @p583 (forall @t697 (=> @t696 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t419) @t213)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t419) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t684) @t740)))))) % 28.11/28.83 (assume @p584 (forall @t739 (=> @t738 (=> @t687 (=> @t685 (=> @t678 (=> @t683 (=> @t737 @t740)))))))) % 28.11/28.83 (assume @p585 (forall @t743 (= (tptp.hBOOL (tptp.hAPP @t742 @t741)) (exists @t116 (= @t741 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t7)))))) % 28.11/28.83 (assume @p586 (forall @t144 (=> @t75 (= (tptp.c_SEQ_Odecseq @t19 @t106) (forall @t11 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t745) @t744)))))))) % 28.11/28.83 (assume @p587 (forall @t70 (=> @t748 (=> @t561 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t747) @t412)))))) % 28.11/28.83 (assume @p588 (forall @t254 (= (tptp.hAPP (tptp.hAPP @t702 @t730) @t72) @t72))) % 28.11/28.83 (assume @p589 (forall @t253 (= (tptp.hAPP @t726 @t239) (tptp.hAPP (tptp.hAPP @t702 @t239) @t72)))) % 28.11/28.83 (assume @p590 (forall @t249 (= (tptp.hAPP (tptp.hAPP @t702 (tptp.hAPP @t750 @t240)) @t248) (tptp.hAPP @t750 (tptp.hAPP @t749 @t248))))) % 28.11/28.83 (assume @p591 (forall @t247 (= (tptp.hAPP (tptp.hAPP @t702 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t243 @t240)) @t239) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t750 @t239) (tptp.hAPP @t749 @t239))))) % 28.11/28.83 (assume @p592 (forall @t257 (=> @t751 (= @t407 @t80)))) % 28.11/28.83 (assume @p593 (forall @t95 (=> @t751 (= @t354 @t47)))) % 28.11/28.83 (assume @p594 (forall @t94 (=> @t751 (= (tptp.hAPP @t290 @t299) @t299)))) % 28.11/28.83 (assume @p595 (forall @t95 (=> @t748 (= (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t412) @t47)))) % 28.11/28.83 (assume @p596 (forall (@list @t21 @t752 @t17 @t19) (=> (tptp.class_Groups_Ouminus @t19) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t754 @t752) @t21) (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t753))))) % 28.11/28.83 (assume @p597 (forall @t101 (=> @t748 (= (= @t417 @t755) @t99)))) % 28.11/28.83 (assume @p598 (forall @t101 (=> @t748 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t417) @t755)) @t579)))) % 28.11/28.83 (assume @p599 (forall @t756 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t733)) @t732))) % 28.11/28.83 (assume @p600 (forall (@list @t41 @t60) (=> @t761 (=> (tptp.hBOOL @t61) (exists @t485 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t483 @t41) (forall @t759 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t757) @t483)) (not @t758))) (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t283))))))))) % 28.11/28.83 (assume @p601 (forall @t144 (=> @t75 (= (tptp.c_SEQ_Oincseq @t19 @t106) (forall @t11 (=> @t746 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t744) @t745)))))))) % 28.11/28.83 (assume @p602 (forall @t212 (=> @t764 (= (tptp.c_RComplete_Onatceiling @t763) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t762 @t283))))) % 28.11/28.83 (assume @p603 (forall @t212 (=> @t764 (= (tptp.c_RComplete_Onatfloor @t763) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t765 @t283))))) % 28.11/28.83 (assume @p604 (forall @t768 (=> @t767 (= @t766 (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP tptp.c_Int_Onat @t252)) (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t654))))))) % 28.11/28.83 (assume @p605 (forall @t52 (=> @t712 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t765) (tptp.c_RComplete_Onatfloor @t48)))))) % 28.11/28.83 (assume @p606 (forall @t212 (tptp.hBOOL (tptp.hAPP @t554 @t765)))) % 28.11/28.83 (assume @p607 (= (tptp.c_RComplete_Onatfloor @t551) @t186)) % 28.11/28.83 (assume @p608 (forall @t39 (= (tptp.hAPP tptp.c_Int_Onat @t409) @t38))) % 28.11/28.83 (assume @p609 (forall @t52 (=> @t712 (tptp.hBOOL (tptp.hAPP @t769 (tptp.c_RComplete_Onatceiling @t48)))))) % 28.11/28.83 (assume @p610 (forall @t212 (tptp.hBOOL (tptp.hAPP @t554 @t762)))) % 28.11/28.83 (assume @p611 (= (tptp.c_RComplete_Onatceiling @t551) @t186)) % 28.11/28.83 (assume @p612 (= (tptp.c_RComplete_Onatceiling @t730) @t283)) % 28.11/28.83 (assume @p613 (= (tptp.c_RComplete_Onatfloor @t730) @t283)) % 28.11/28.83 (assume @p614 (= @t770 @t186)) % 28.11/28.83 (assume @p615 (= @t186 @t770)) % 28.11/28.83 (assume @p616 (forall (@list @t771 @t226) (=> @t773 (=> (tptp.hBOOL (tptp.hAPP @t594 @t771)) (= (= @t772 (tptp.hAPP tptp.c_Int_Onat @t771)) (= @t226 @t771)))))) % 28.11/28.83 (assume @p617 (forall @t178 (=> @t777 (=> @t776 (= (= @t775 @t774) @t99))))) % 28.11/28.83 (assume @p618 (forall @t653 (= (forall @t781 @t780) (forall @t6 (=> @t652 @t778))))) % 28.11/28.83 (assume @p619 (forall @t653 (= (exists @t781 @t780) (exists @t6 (and @t652 @t778))))) % 28.11/28.83 (assume @p620 (= @t283 @t782)) % 28.11/28.83 (assume @p621 (forall @t212 (=> @t783 (= @t765 @t186)))) % 28.11/28.83 (assume @p622 (forall @t212 (=> @t783 (= @t762 @t186)))) % 28.11/28.83 (assume @p623 (forall @t254 (=> @t767 (= @t784 @t186)))) % 28.11/28.83 (assume @p624 (forall (@list @t183) (= (= @t786 @t186) @t785))) % 28.11/28.83 (assume @p625 (= @t782 @t208)) % 28.11/28.83 (assume @p626 (forall @t616 (=> @t673 @t789))) % 28.11/28.83 (assume @p627 (forall @t228 (= @t788 (and @t673 @t227)))) % 28.11/28.83 (assume @p628 (forall @t178 (=> @t777 (=> @t776 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t775) @t774)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t21) @t96))))))) % 28.11/28.83 (assume @p629 (forall @t254 (and @t791 (=> (not @t675) (= @t790 @t213))))) % 28.11/28.83 (assume @p630 (forall @t792 (= (= @t174 @t226) (and (= @t40 @t772) @t773)))) % 28.11/28.83 (assume @p631 (forall @t254 @t791)) % 28.11/28.83 (assume @p632 (forall @t792 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t772) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t174 @t226)))) % 28.11/28.83 (assume @p633 (forall @t39 (= (tptp.hAPP tptp.c_Int_Onat @t555) @t186))) % 28.11/28.83 (assume @p634 (forall @t756 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t283) @t795)) @t794))) % 28.11/28.83 (assume @p635 (forall @t756 (= (tptp.hBOOL (tptp.hAPP @t796 @t283)) (tptp.hBOOL (tptp.hAPP @t700 @t730))))) % 28.11/28.83 (assume @p636 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t772) @t673))) % 28.11/28.83 (assume @p637 (forall @t178 (=> @t777 (=> @t776 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t775 @t774) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t96)))))) % 28.11/28.83 (assume @p638 (forall @t228 (=> @t797 @t789))) % 28.11/28.83 (assume @p639 (forall @t228 (=> (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t225) @t773) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t787) @t772)) @t658)))) % 28.11/28.83 (assume @p640 (forall @t799 (= (= @t787 @t40) @t798))) % 28.11/28.83 (assume @p641 (forall (@list @t225 @t40) (= (= @t40 @t787) @t798))) % 28.11/28.83 (assume @p642 (forall (@list @t183 @t60) (= (tptp.hBOOL (tptp.hAPP @t60 @t786)) (and (forall @t116 (=> (= @t183 @t543) (tptp.hBOOL (tptp.hAPP @t60 @t7)))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t213) @t760))))) % 28.11/28.83 (assume @p643 (forall @t52 (=> @t648 (=> @t647 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t801 @t800) (tptp.hAPP tptp.c_Int_Onat @t646)))))) % 28.11/28.83 (assume @p644 (forall @t768 (=> @t675 (=> @t803 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t654)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t784 @t802)))))) % 28.11/28.83 (assume @p645 (forall @t52 (=> @t648 (=> @t647 (= (tptp.hAPP (tptp.hAPP @t280 @t801) @t800) (tptp.hAPP tptp.c_Int_Onat @t649)))))) % 28.11/28.83 (assume @p646 (forall @t768 (=> @t675 (= @t766 (tptp.hAPP (tptp.hAPP @t280 @t784) @t802))))) % 28.11/28.83 (assume @p647 (forall @t805 (=> (tptp.hBOOL (tptp.hAPP @t552 @t80)) (=> (tptp.hBOOL (tptp.hAPP @t552 @t83)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t804) (tptp.c_RComplete_Onatfloor @t83))) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t702 @t80) @t83)))))))) % 28.11/28.83 (assume @p648 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t208 @t772) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t221 @t226)))) % 28.11/28.83 (assume @p649 (forall @t254 (=> @t675 (= (tptp.c_Nat_OSuc @t784) (tptp.hAPP tptp.c_Int_Onat @t271))))) % 28.11/28.83 (assume @p650 (forall @t799 (=> @t797 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t787 @t40) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t225 @t174))))) % 28.11/28.83 (assume @p651 (forall @t806 (= (tptp.c_Int_Onat__aux @t154 @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Int_Onat @t154) @t38)))) % 28.11/28.83 (assume @p652 (tptp.c_Nat__Transfer_Otransfer__morphism tptp.tc_Int_Oint tptp.tc_Nat_Onat tptp.c_Int_Onat @t594)) % 28.11/28.83 (assume @p653 (forall @t810 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t808 @t47) (=> (tptp.hBOOL (tptp.hAPP @t711 @t809)) (= @t762 @t426))))) % 28.11/28.83 (assume @p654 (forall @t39 (tptp.hBOOL (tptp.hAPP @t552 @t808)))) % 28.11/28.83 (assume @p655 (forall @t39 (= (tptp.c_RComplete_Onatfloor @t808) @t38))) % 28.11/28.83 (assume @p656 (forall @t39 (= (tptp.c_RComplete_Onatceiling @t808) @t38))) % 28.11/28.83 (assume @p657 (= @t807 (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_RealDef_Oreal))) % 28.11/28.83 (assume @p658 (forall @t165 (= (= @t812 @t811) @t161))) % 28.11/28.83 (assume @p659 (= (tptp.hAPP @t807 @t186) @t551)) % 28.11/28.83 (assume @p660 (forall @t202 (= (= @t812 @t551) @t200))) % 28.11/28.83 (assume @p661 (forall @t39 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t808 @t551)))) % 28.11/28.83 (assume @p662 (forall @t165 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t812 @t811) @t42))) % 28.11/28.83 (assume @p663 (forall @t165 (= (tptp.hBOOL (tptp.hAPP @t813 @t811)) @t599))) % 28.11/28.83 (assume @p664 (forall @t143 (= (tptp.hAPP @t807 @t282) (tptp.hAPP (tptp.hAPP @t702 @t814) @t808)))) % 28.11/28.83 (assume @p665 (forall @t143 (= (tptp.hAPP @t807 @t279) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t814 @t808)))) % 28.11/28.83 (assume @p666 (= (tptp.hAPP @t807 @t283) @t730)) % 28.11/28.83 (assume @p667 (forall @t212 (tptp.hBOOL (tptp.hAPP @t711 (tptp.hAPP @t807 @t762))))) % 28.11/28.83 (assume @p668 (forall @t202 (= (tptp.hBOOL (tptp.hAPP @t813 @t551)) @t200))) % 28.11/28.83 (assume @p669 (forall @t39 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t815))) % 28.11/28.83 (assume @p670 (= (tptp.hAPP @t807 @t208) @t730)) % 28.11/28.83 (assume @p671 (forall @t39 (= @t815 @t809))) % 28.11/28.83 (assume @p672 (forall @t212 (=> @t764 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t816) @t47))))) % 28.11/28.83 (assume @p673 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t807 @t47)) @t80)) (tptp.hBOOL (tptp.hAPP @t602 @t804))))) % 28.11/28.83 (assume @p674 (forall @t817 (=> (tptp.hBOOL (tptp.hAPP @t711 @t818)) (tptp.hBOOL (tptp.hAPP @t769 @t80))))) % 28.11/28.83 (assume @p675 (forall @t202 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t812) @t199))) % 28.11/28.83 (assume @p676 (forall @t165 (= @t42 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t812 @t730)) @t811))))) % 28.11/28.83 (assume @p677 (forall @t165 (= @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t812 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t811 @t730))))) % 28.11/28.83 (assume @p678 (forall @t731 (=> @t820 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32) @t795)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t819) @t21)))))) % 28.11/28.83 (assume @p679 (forall @t731 (=> @t820 (= (tptp.hBOOL (tptp.hAPP @t796 @t32)) (tptp.hBOOL (tptp.hAPP @t700 @t819)))))) % 28.11/28.83 (assume @p680 (forall @t212 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t816 @t730)))) % 28.11/28.83 (assume @p681 (forall @t821 (=> @t764 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 @t808) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t765 @t38))))) % 28.11/28.83 (assume @p682 (forall @t817 (=> @t764 (= (tptp.c_RComplete_Onatfloor @t822) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t765 @t80))))) % 28.11/28.83 (assume @p683 (forall @t823 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t72) @t283)) @t38)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t72 @t808)))) % 28.11/28.83 (assume @p684 (forall @t810 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t808) @t47)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 @t809) (= @t765 @t38))))) % 28.11/28.83 (assume @p685 (forall @t817 (=> @t764 (= (tptp.c_RComplete_Onatceiling @t822) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t762 @t80))))) % 28.11/28.83 (assume @p686 (forall @t827 (=> @t826 (exists @t116 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t825) @t419)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t419 @t824)))))) % 28.11/28.83 (assume @p687 (forall @t821 (=> @t764 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t829 @t47) @t730)) (tptp.hAPP (tptp.hAPP @t828 @t763) @t38)))))) % 28.11/28.83 (assume @p688 (forall (@list @t153 @t19) (=> @t832 (and (=> @t831 (= @t830 (tptp.c_Groups_Ouminus__class_Ouminus @t19 (tptp.hAPP @t125 (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t153)))))) (=> (not @t831) (= @t830 (tptp.hAPP @t125 (tptp.hAPP tptp.c_Int_Onat @t153)))))))) % 28.11/28.83 (assume @p689 (forall @t836 (=> @t835 (= (= @t834 @t193) @t833)))) % 28.11/28.83 (assume @p690 (forall @t836 (=> @t835 (= (= @t193 @t834) @t833)))) % 28.11/28.83 (assume @p691 (forall @t194 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t213) @t193)))) % 28.11/28.83 (assume @p692 (forall @t838 (=> @t113 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t837) @t834)) @t658)))) % 28.11/28.83 (assume @p693 (forall @t838 (=> @t113 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t837 @t834) @t227)))) % 28.11/28.83 (assume @p694 (forall @t841 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t268) (tptp.c_Groups_Oplus__class_Oplus @t19 @t840 @t839))))) % 28.11/28.83 (assume @p695 (forall @t841 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t267) (tptp.hAPP (tptp.hAPP @t234 @t840) @t839))))) % 28.11/28.83 (assume @p696 (forall @t194 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t221) @t276)))) % 28.11/28.83 (assume @p697 (forall @t847 (=> @t414 (= @t846 @t845)))) % 28.11/28.83 (assume @p698 (forall @t847 (=> @t414 (= @t845 @t846)))) % 28.11/28.83 (assume @p699 (forall @t847 (=> @t414 (= (tptp.hAPP @t848 @t47) @t846)))) % 28.11/28.83 (assume @p700 (forall @t95 (=> @t414 (= (tptp.hAPP @t843 @t186) @t276)))) % 28.11/28.83 (assume @p701 (forall @t849 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t252) (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t839))))) % 28.11/28.83 (assume @p702 (forall @t852 (=> @t414 (= (tptp.hAPP (tptp.hAPP @t234 @t851) @t844) (tptp.hAPP @t843 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t850 @t676)))))) % 28.11/28.83 (assume @p703 (forall @t644 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t409) @t130)))) % 28.11/28.83 (assume @p704 (forall @t838 (=> @t835 (= (= @t837 @t834) @t272)))) % 28.11/28.83 (assume @p705 (forall (@list @t38 @t72 @t19) (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 @t854) (tptp.hAPP (tptp.hAPP @t842 @t839) @t38))))) % 28.11/28.83 (assume @p706 (forall @t39 (= (tptp.c_Int_Oring__1__class_Oof__int tptp.tc_Int_Oint @t409) @t409))) % 28.11/28.83 (assume @p707 (forall (@list @t676 @t48 @t47 @t19) (=> @t414 (= (tptp.hAPP (tptp.hAPP @t842 @t536) @t676) (tptp.hAPP @t848 (tptp.hAPP @t855 @t676)))))) % 28.11/28.83 (assume @p708 (forall @t95 (=> @t414 (= (tptp.hAPP @t843 @t283) @t47)))) % 28.11/28.83 (assume @p709 (forall @t852 (=> @t414 (= (tptp.hAPP (tptp.hAPP @t842 @t851) @t676) (tptp.hAPP @t843 (tptp.hAPP @t856 @t676)))))) % 28.11/28.83 (assume @p710 (forall @t101 (=> @t312 (= (= (tptp.hAPP (tptp.hAPP @t842 @t21) @t211) (tptp.hAPP (tptp.hAPP @t842 @t96) @t211)) (or @t99 (= @t21 @t755)))))) % 28.11/28.83 (assume @p711 (forall @t836 (=> @t113 (= (tptp.hBOOL (tptp.hAPP @t547 @t834)) @t773)))) % 28.11/28.83 (assume @p712 (forall @t836 (=> @t113 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t834) @t193)) (tptp.hBOOL (tptp.hAPP @t615 @t213)))))) % 28.11/28.83 (assume @p713 (forall @t836 (=> @t113 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t834 @t193) @t274)))) % 28.11/28.83 (assume @p714 (forall @t836 (=> @t113 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t834) @t673)))) % 28.11/28.83 (assume @p715 (forall (@list @t38 @t419 @t19) (=> @t128 (=> (tptp.hBOOL (tptp.hAPP @t547 @t419)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t419) @t276)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 (tptp.hAPP (tptp.hAPP @t842 @t419) @t140)) @t419))))))) % 28.11/28.83 (assume @p716 (forall @t849 (=> @t832 (=> @t675 (= (tptp.hAPP @t125 @t784) @t839))))) % 28.11/28.83 (assume @p717 (forall @t862 (=> @t128 (=> @t88 (=> @t627 (=> @t205 @t861)))))) % 28.11/28.83 (assume @p718 (forall @t864 (=> @t128 (=> @t863 (=> @t205 (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t860)))))) % 28.11/28.83 (assume @p719 (forall @t869 (=> @t128 (=> @t868 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t867) @t866)) @t581))))) % 28.11/28.83 (assume @p720 (forall @t143 (= @t873 @t870))) % 28.11/28.83 (assume @p721 (forall @t143 (= @t870 @t873))) % 28.11/28.83 (assume @p722 (forall @t39 (= (tptp.hAPP (tptp.hAPP @t871 @t208) @t38) @t208))) % 28.11/28.83 (assume @p723 (forall (@list @t40 @t21) (= (= (tptp.hAPP @t874 @t40) @t208) (or @t207 (= @t21 @t208))))) % 28.11/28.83 (assume @p724 (forall @t143 (= @t876 @t875))) % 28.11/28.83 (assume @p725 (forall @t143 (= @t875 @t876))) % 28.11/28.83 (assume @p726 (forall @t821 (= (tptp.hAPP (tptp.hAPP @t853 @t498) @t38) (tptp.hAPP @t172 (tptp.hAPP (tptp.hAPP @t871 @t47) @t38))))) % 28.11/28.83 (assume @p727 (forall (@list @t38 @t53 @t154) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t154) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t877 @t53) @t878) @t133)))) % 28.11/28.83 (assume @p728 (forall @t881 (= @t880 (or @t879 @t200)))) % 28.11/28.83 (assume @p729 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t853 @t883) @t72) (tptp.hAPP @t882 (tptp.hAPP (tptp.hAPP @t280 @t48) @t72))))) % 28.11/28.83 (assume @p730 (forall @t821 (=> @t648 (= (tptp.hAPP (tptp.hAPP @t871 @t801) @t38) (tptp.hAPP tptp.c_Int_Onat @t884))))) % 28.11/28.83 (assume @p731 (forall @t823 (=> @t675 (= (tptp.hAPP tptp.c_Int_Onat @t854) (tptp.hAPP (tptp.hAPP @t871 @t784) @t38))))) % 28.11/28.83 (assume @p732 (forall @t806 (=> (tptp.hBOOL (tptp.hAPP @t670 @t154)) (tptp.hBOOL (tptp.hAPP @t670 @t878))))) % 28.11/28.83 (assume @p733 (forall @t881 (= @t880 (or @t200 @t879)))) % 28.11/28.83 (assume @p734 (forall @t821 (=> @t648 (tptp.hBOOL (tptp.hAPP @t594 @t884))))) % 28.11/28.83 (assume @p735 (forall @t262 (= (tptp.hAPP @t882 @t445) (tptp.hAPP (tptp.hAPP @t215 @t883) (tptp.hAPP @t882 @t72))))) % 28.11/28.83 (assume @p736 (forall @t821 (=> (= @t47 @t816) (= (tptp.c_RComplete_Onatfloor @t885) (tptp.hAPP (tptp.hAPP @t871 @t765) @t38))))) % 28.11/28.83 (assume @p737 (forall @t864 (=> @t316 (=> @t363 (not (= @t860 @t193)))))) % 28.11/28.83 (assume @p738 (forall @t864 (=> @t287 (= @t888 @t886)))) % 28.11/28.83 (assume @p739 (forall @t862 (=> @t288 (= (tptp.hAPP (tptp.hAPP @t842 @t299) @t38) (tptp.hAPP @t887 @t858))))) % 28.11/28.83 (assume @p740 (forall @t644 (=> @t287 (= (tptp.hAPP (tptp.hAPP @t842 @t276) @t38) @t276)))) % 28.11/28.83 (assume @p741 (forall @t134 (=> @t185 (= (tptp.hAPP @t125 @t872) (tptp.hAPP (tptp.hAPP @t842 @t131) @t38))))) % 28.11/28.83 (assume @p742 (forall @t890 (=> @t287 (= (tptp.hAPP @t859 @t282) (tptp.hAPP (tptp.hAPP @t842 @t889) @t38))))) % 28.11/28.83 (assume @p743 (forall @t257 (=> @t287 (= (tptp.hAPP @t859 @t283) @t80)))) % 28.11/28.83 (assume @p744 (forall @t864 (=> @t128 (=> @t627 (tptp.hBOOL (tptp.hAPP @t547 @t860)))))) % 28.11/28.83 (assume @p745 (forall @t862 (=> @t128 (=> @t575 (=> @t627 (tptp.hBOOL (tptp.hAPP @t891 @t858))))))) % 28.11/28.83 (assume @p746 (forall @t864 (=> @t128 (=> @t380 (tptp.c_Orderings_Oord__class_Oless @t19 @t193 @t860))))) % 28.11/28.83 (assume @p747 (forall @t864 (=> @t128 (=> @t892 (tptp.hBOOL (tptp.hAPP @t643 @t860)))))) % 28.11/28.83 (assume @p748 (forall (@list @t41 @t32 @t19) (=> (and @t895 @t366 @t361 @t369) (= (= @t894 @t193) (and @t323 @t201))))) % 28.11/28.83 (assume @p749 (forall (@list @t41 @t40 @t32 @t19) (=> @t128 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t32) (= (= (tptp.hAPP @t893 @t40) @t894) @t44))))) % 28.11/28.83 (assume @p750 (forall @t644 (=> @t897 (= (tptp.hAPP @t896 @t140) @t193)))) % 28.11/28.83 (assume @p751 (forall @t864 (=> @t895 (= @t898 @t886)))) % 28.11/28.83 (assume @p752 (forall @t864 (=> @t287 (= @t898 @t888)))) % 28.11/28.83 (assume @p753 (forall @t257 (=> @t895 (= (tptp.hAPP @t859 @t186) @t276)))) % 28.11/28.83 (assume @p754 (forall @t890 (=> @t287 (= (tptp.hAPP @t859 @t279) (tptp.hAPP (tptp.hAPP @t234 @t889) @t860))))) % 28.11/28.83 (assume @p755 (forall @t899 (=> @t128 (=> @t861 (=> @t626 @t88))))) % 28.11/28.83 (assume @p756 (forall @t899 (=> @t128 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t898) @t900)) (=> @t626 @t575))))) % 28.11/28.83 (assume @p757 (forall @t899 (=> @t128 (=> (= @t898 @t900) (=> @t627 (=> @t626 @t91)))))) % 28.11/28.83 (assume @p758 (forall @t864 (=> @t128 (=> @t863 (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t886))))) % 28.11/28.83 (assume @p759 (forall @t864 (=> @t128 (=> @t863 (tptp.c_Orderings_Oord__class_Oless @t19 @t860 @t886))))) % 28.11/28.83 (assume @p760 (forall @t644 (=> @t897 (and (=> @t203 (= @t901 @t276)) (=> @t204 (= @t901 @t193)))))) % 28.11/28.83 (assume @p761 (forall @t864 (=> @t128 (=> @t863 (tptp.c_Orderings_Oord__class_Oless @t19 @t276 @t898))))) % 28.11/28.83 (assume @p762 (forall @t864 (=> @t832 (= (tptp.hAPP (tptp.hAPP @t842 @t229) @t38) (tptp.hAPP (tptp.hAPP @t234 (tptp.hAPP (tptp.hAPP @t842 @t315) @t38)) @t860))))) % 28.11/28.83 (assume @p763 (forall @t905 (=> @t128 (=> @t904 (=> @t863 (tptp.c_Orderings_Oord__class_Oless @t19 @t860 @t903)))))) % 28.11/28.83 (assume @p764 (forall @t890 (=> @t128 (=> @t863 (=> (tptp.c_Orderings_Oord__class_Oless @t19 @t889 @t860) @t133))))) % 28.11/28.83 (assume @p765 (forall @t869 (=> @t128 (=> @t868 (= (tptp.c_Orderings_Oord__class_Oless @t19 @t867 @t866) @t175))))) % 28.11/28.83 (assume @p766 (forall @t905 (=> @t128 (=> @t906 (=> @t892 (tptp.hBOOL (tptp.hAPP @t891 @t903))))))) % 28.11/28.83 (assume @p767 (forall @t864 (=> @t128 (=> @t380 (=> @t907 (tptp.c_Orderings_Oord__class_Oless @t19 @t886 @t860)))))) % 28.11/28.83 (assume @p768 (forall @t864 (=> @t128 (=> @t380 (=> @t907 (tptp.c_Orderings_Oord__class_Oless @t19 @t898 @t276)))))) % 28.11/28.83 (assume @p769 (forall @t905 (=> @t128 (=> @t904 (=> @t380 (=> @t907 (tptp.c_Orderings_Oord__class_Oless @t19 @t903 @t860))))))) % 28.11/28.83 (assume @p770 (forall @t899 (=> @t128 (=> (= @t860 @t858) (=> @t627 (=> @t626 (=> @t205 @t91))))))) % 28.11/28.83 (assume @p771 (forall @t905 (=> @t128 (=> @t906 (=> @t627 (=> (tptp.hBOOL (tptp.hAPP @t573 @t276)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t903) @t860)))))))) % 28.11/28.83 (assume @p772 (forall @t890 (=> @t128 (=> @t863 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t889) @t860)) @t596))))) % 28.11/28.83 (assume @p773 (forall @t194 (=> @t895 (= @t842 (tptp.c_Power_Opower_Opower @t19 @t276 @t234))))) % 28.11/28.83 (assume @p774 (forall @t913 (=> @t205 (=> @t912 (exists @t911 (and @t910 (= (tptp.hAPP @t909 @t38) @t80))))))) % 28.11/28.83 (assume @p775 (forall (@list @t32 @t915 @t914 @t19) (= (tptp.hAPP @t916 @t186) @t914))) % 28.11/28.83 (assume @p776 (forall (@list @t41 @t32 @t915 @t914 @t19) (= (tptp.hAPP @t916 @t166) (tptp.hAPP (tptp.hAPP @t915 @t32) (tptp.hAPP @t916 @t41))))) % 28.11/28.83 (assume @p777 (forall @t913 (=> @t205 (=> @t912 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t3) (= (tptp.hAPP (tptp.hAPP @t828 @t3) @t38) @t80) (forall @t917 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t182) (= (tptp.hAPP (tptp.hAPP @t828 @t182) @t38) @t80)) (= @t182 @t3))))))))) % 28.11/28.83 (assume @p778 (forall @t919 (=> @t728 (=> @t764 (exists @t116 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t918 @t48)) @t47)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 (tptp.hAPP (tptp.hAPP @t702 @t824) @t48)))))))) % 28.11/28.83 (assume @p779 (forall @t821 (=> @t729 (= (tptp.c_Transcendental_Oln @t885) (tptp.hAPP @t829 @t920))))) % 28.11/28.83 (assume @p780 (forall @t212 (=> @t729 (forall @t917 (exists @t116 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t182 (tptp.hAPP @t918 @t47))))))) % 28.11/28.83 (assume @p781 (forall @t212 (=> @t729 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t920 @t47)))) % 28.11/28.83 (assume @p782 (forall @t178 (=> @t924 (=> @t923 (= (= @t922 @t921) @t99))))) % 28.11/28.83 (assume @p783 (forall @t178 (=> @t924 (=> @t923 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t921) @t719))))) % 28.11/28.83 (assume @p784 (= (tptp.c_Transcendental_Oln @t730) @t551)) % 28.11/28.83 (assume @p785 (forall @t178 (=> @t924 (=> @t923 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t922) @t921)) @t701))))) % 28.11/28.83 (assume @p786 (forall @t212 (=> @t926 @t925))) % 28.11/28.83 (assume @p787 (forall @t212 (=> @t928 @t927))) % 28.11/28.83 (assume @p788 (forall @t756 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t551 @t922) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t730 @t21))))) % 28.11/28.83 (assume @p789 (forall @t756 (=> @t924 (= (= @t922 @t551) (= @t21 @t730))))) % 28.11/28.83 (assume @p790 (forall @t756 (=> @t924 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t551) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t21 @t730))))) % 28.11/28.83 (assume @p791 (forall @t212 (=> @t729 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 @t730) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t920 @t551))))) % 28.11/28.83 (assume @p792 (forall @t212 (=> @t927 (=> @t729 @t928)))) % 28.11/28.83 (assume @p793 (forall @t756 (=> @t924 (= (tptp.hBOOL (tptp.hAPP @t552 @t922)) @t794)))) % 28.11/28.83 (assume @p794 (forall @t212 (=> @t925 (=> @t729 @t926)))) % 28.11/28.83 (assume @p795 (forall @t52 (=> @t729 (=> @t728 (= (tptp.c_Transcendental_Oln @t727) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t920 (tptp.c_Transcendental_Oln @t48))))))) % 28.11/28.83 (assume @p796 (forall @t212 (=> @t764 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t730 @t47))) @t47))))) % 28.11/28.83 (assume @p797 (forall (@list @t38 @t80) (=> @t912 (exists @t911 (and @t910 (= (tptp.hAPP @t909 @t140) @t80)))))) % 28.11/28.83 (assume @p798 (forall (@list @t47 @t38 @t19) (=> @t287 (=> @t205 (= (tptp.hAPP (tptp.hAPP @t234 (tptp.hAPP @t843 @t929)) @t47) (tptp.hAPP @t843 @t38)))))) % 28.11/28.83 (assume @p799 (forall @t931 (=> @t832 (=> @t724 (= (tptp.hAPP @t125 @t930) (tptp.c_Groups_Ominus__class_Ominus @t19 @t131 @t130)))))) % 28.11/28.83 (assume @p800 (forall @t165 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t41 @t40)) @t43))) % 28.11/28.83 (assume @p801 (forall @t57 (=> @t205 (=> @t932 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t930 @t53))))) % 28.11/28.83 (assume @p802 (forall @t143 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t930 @t141))) % 28.11/28.83 (assume @p803 (forall @t57 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t447) @t186))) % 28.11/28.83 (assume @p804 (forall @t46 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t41) @t186) @t558))) % 28.11/28.83 (assume @p805 (forall @t143 (=> @t596 @t933))) % 28.11/28.83 (assume @p806 (forall @t57 (=> @t724 (= @t934 (tptp.c_Nat_OSuc @t930))))) % 28.11/28.83 (assume @p807 (forall @t938 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t937) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t936 @t935)))) % 28.11/28.83 (assume @p808 (forall @t143 (=> @t151 @t939))) % 28.11/28.83 (assume @p809 (forall @t432 (=> @t943 (=> @t942 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t940) @t43))))) % 28.11/28.83 (assume @p810 (forall @t944 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t80 @t83) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81) @t80)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t80 @t81) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t81)))))) % 28.11/28.83 (assume @p811 (forall @t949 (=> @t948 (= @t947 @t946)))) % 28.11/28.83 (assume @p812 (forall @t949 (=> @t948 (= @t946 @t947)))) % 28.11/28.83 (assume @p813 (forall @t949 (=> @t948 (= @t951 @t950)))) % 28.11/28.83 (assume @p814 (forall @t938 (=> @t954 (= (= @t952 @t428) (= @t935 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t183)))))) % 28.11/28.83 (assume @p815 (forall @t57 (=> @t724 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t930 @t38) @t53)))) % 28.11/28.83 (assume @p816 (forall (@list @t183 @t935 @t428) (=> (tptp.hBOOL (tptp.hAPP @t742 @t935)) (= (tptp.hBOOL (tptp.hAPP @t953 @t937)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t936) @t935)))))) % 28.11/28.83 (assume @p817 (forall @t949 (=> @t948 (= @t950 @t951)))) % 28.11/28.83 (assume @p818 (forall @t57 (=> @t724 @t939))) % 28.11/28.83 (assume @p819 (forall (@list @t53 @t38 @t153) (=> @t611 (tptp.hBOOL (tptp.hAPP @t595 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t447 @t153)))))) % 28.11/28.83 (assume @p820 (forall (@list @t183 @t428 @t935) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t937) @t183)) (tptp.hBOOL (tptp.hAPP @t955 @t936))))) % 28.11/28.83 (assume @p821 (forall @t949 (=> @t948 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t945) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t469 @t157))))) % 28.11/28.83 (assume @p822 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t283) @t38))) % 28.11/28.83 (assume @p823 (forall @t143 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t140) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t956 @t38)))) % 28.11/28.83 (assume @p824 (forall (@list @t38 @t153 @t157) (=> @t158 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t38) @t153)))) % 28.11/28.83 (assume @p825 (forall @t959 (=> @t133 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t470) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t958 @t957))))) % 28.11/28.83 (assume @p826 (forall @t614 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t612 @t437) @t930))) % 28.11/28.83 (assume @p827 (forall @t444 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t960 @t474) @t930))) % 28.11/28.83 (assume @p828 (forall @t160 (= @t962 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t468)))) % 28.11/28.83 (assume @p829 (forall @t57 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t447 @t38) @t53))) % 28.11/28.83 (assume @p830 (forall @t143 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t279 @t38) @t53))) % 28.11/28.83 (assume @p831 (forall @t436 (= (tptp.hAPP (tptp.hAPP @t280 @t930) @t153) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t434)))) % 28.11/28.83 (assume @p832 (forall @t444 (= (tptp.hAPP @t441 @t930) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t442)))) % 28.11/28.83 (assume @p833 (forall (@list @t21 @t963 @t752 @t17 @t19) (=> (tptp.class_Groups_Ominus @t19) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t754 @t752 @t963) @t21) (tptp.c_Groups_Ominus__class_Ominus @t19 @t753 (tptp.hAPP @t963 @t21)))))) % 28.11/28.83 (assume @p834 (forall @t94 (=> @t231 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t230 @t83) @t80)))) % 28.11/28.83 (assume @p835 (forall @t94 (=> @t231 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t964 @t83) @t80)))) % 28.11/28.83 (assume @p836 (forall @t539 (=> @t422 (= (tptp.hAPP @t290 (tptp.c_Groups_Ominus__class_Ominus @t19 @t83 @t537)) (tptp.c_Groups_Ominus__class_Ominus @t19 @t299 @t538))))) % 28.11/28.83 (assume @p837 (forall @t535 (=> @t422 (= (tptp.hAPP @t424 @t965) (tptp.c_Groups_Ominus__class_Ominus @t19 @t425 @t534))))) % 28.11/28.83 (assume @p838 (forall @t531 (=> @t422 (= (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Groups_Ominus__class_Ominus @t19 @t80 @t529)) @t83) (tptp.c_Groups_Ominus__class_Ominus @t19 @t299 @t530))))) % 28.11/28.83 (assume @p839 (forall @t528 (=> @t422 (= (tptp.hAPP @t966 @t524) (tptp.c_Groups_Ominus__class_Ominus @t19 @t526 @t525))))) % 28.11/28.83 (assume @p840 (forall @t533 (=> @t328 (=> @t968 (= @t327 (tptp.c_Orderings_Oord__class_Oless @t19 @t30 @t35)))))) % 28.11/28.83 (assume @p841 (forall @t533 (=> @t256 (=> @t968 (= @t293 @t532))))) % 28.11/28.83 (assume @p842 (forall @t160 (= @t962 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t153) @t157)))) % 28.11/28.83 (assume @p843 (forall @t436 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t934 (tptp.c_Nat_OSuc @t153)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t930 @t153)))) % 28.11/28.83 (assume @p844 (forall @t143 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t141 @t140) @t930))) % 28.11/28.83 (assume @p845 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t38) @t186))) % 28.11/28.83 (assume @p846 (forall @t196 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t186) @t53))) % 28.11/28.83 (assume @p847 (forall @t196 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t53) @t186))) % 28.11/28.83 (assume @p848 (forall @t143 (=> @t933 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t53) @t186) @t54)))) % 28.11/28.83 (assume @p849 (forall @t266 (=> @t231 (= @t969 @t293)))) % 28.11/28.83 (assume @p850 (forall @t266 (=> @t256 (= @t293 @t969)))) % 28.11/28.83 (assume @p851 (forall @t257 (=> @t231 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t80 @t80) @t193)))) % 28.11/28.83 (assume @p852 (forall @t257 (=> @t231 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t80 @t193) @t80)))) % 28.11/28.83 (assume @p853 (forall @t533 (=> @t328 (=> @t968 (= @t584 (tptp.hBOOL (tptp.hAPP @t970 @t35))))))) % 28.11/28.83 (assume @p854 (forall @t143 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t930) @t53)))) % 28.11/28.83 (assume @p855 (forall @t959 (=> @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t958) @t957))))) % 28.11/28.83 (assume @p856 (forall @t959 (=> @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t470)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t470)))))) % 28.11/28.83 (assume @p857 (forall @t806 (=> (tptp.hBOOL (tptp.hAPP @t605 @t38)) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t154)) @t154)))) % 28.11/28.83 (assume @p858 (forall @t432 (=> @t943 (=> @t942 (= (= @t941 @t940) @t44))))) % 28.11/28.83 (assume @p859 (forall @t444 (=> (tptp.hBOOL (tptp.hAPP @t609 @t53)) (=> @t611 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t153) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t153)) @t930))))) % 28.11/28.83 (assume @p860 (forall @t432 (=> @t943 (=> @t942 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941) @t940)) @t558))))) % 28.11/28.83 (assume @p861 (forall @t94 (=> @t256 (= @t971 (tptp.c_Groups_Ominus__class_Ominus @t19 @t83 @t80))))) % 28.11/28.83 (assume @p862 (forall @t94 (=> @t231 @t972))) % 28.11/28.83 (assume @p863 (forall @t94 (=> @t256 @t972))) % 28.11/28.83 (assume @p864 (forall @t94 (=> @t231 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t80 @t284) @t230)))) % 28.11/28.83 (assume @p865 (forall @t70 (=> @t413 (= @t965 (tptp.c_Groups_Oplus__class_Oplus @t19 @t47 @t747))))) % 28.11/28.83 (assume @p866 (forall @t257 (=> @t231 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t193 @t80) @t229)))) % 28.11/28.83 (assume @p867 (forall @t978 (=> @t318 (= @t977 (= @t974 @t35))))) % 28.11/28.83 (assume @p868 (forall @t978 (=> @t318 (= @t977 (= @t30 @t979))))) % 28.11/28.83 (assume @p869 (forall @t984 (=> @t318 (= @t983 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t353 @t982) @t981))))) % 28.11/28.83 (assume @p870 (forall @t984 (=> @t422 (= @t983 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t980 @t982) @t981) (tptp.hAPP @t290 @t982)))))) % 28.11/28.83 (assume @p871 (forall @t266 (=> @t328 (= @t327 (tptp.c_Orderings_Oord__class_Oless @t19 @t967 @t193))))) % 28.11/28.83 (assume @p872 (forall @t266 (=> @t328 (= @t584 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t967) @t193)))))) % 28.11/28.83 (assume @p873 (forall @t841 (=> @t832 (= (tptp.c_Int_Oring__1__class_Oof__int @t19 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t239 @t72)) (tptp.c_Groups_Ominus__class_Ominus @t19 @t840 @t839))))) % 28.11/28.83 (assume @p874 (forall @t978 (=> @t632 (= @t985 (tptp.hBOOL (tptp.hAPP @t970 @t979)))))) % 28.11/28.83 (assume @p875 (forall @t978 (=> @t632 (= @t985 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t974) @t35)))))) % 28.11/28.83 (assume @p876 (forall @t978 (=> @t632 (= @t986 (tptp.c_Orderings_Oord__class_Oless @t19 @t30 @t979))))) % 28.11/28.83 (assume @p877 (forall @t978 (=> @t632 (= @t986 (tptp.c_Orderings_Oord__class_Oless @t19 @t974 @t35))))) % 28.11/28.83 (assume @p878 (forall @t95 (=> @t832 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t354 @t276) (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Groups_Oplus__class_Oplus @t19 @t47 @t276)) (tptp.c_Groups_Ominus__class_Ominus @t19 @t47 @t276)))))) % 28.11/28.83 (assume @p879 (forall (@list @t154 @t38) (=> @t205 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t155) @t38)))) % 28.11/28.83 (assume @p880 (forall @t39 (=> @t205 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t208)) @t38)))) % 28.11/28.83 (assume @p881 (forall @t993 (= @t992 (and (=> @t991 @t760) (forall @t990 (=> @t989 @t988)))))) % 28.11/28.83 (assume @p882 (forall @t993 (= @t992 (not (or (and @t991 @t761) (exists @t990 (and @t989 (not @t988)))))))) % 28.11/28.83 (assume @p883 (forall @t996 (=> @t948 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t995) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t612 @t994))))) % 28.11/28.83 (assume @p884 (forall @t996 (=> @t948 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t995 @t53) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t994 @t960))))) % 28.11/28.83 (assume @p885 (forall @t1003 (=> @t1002 (= @t1001 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t998) @t41)))))) % 28.11/28.83 (assume @p886 (forall (@list @t38 @t53 @t540 @t154 @t157) (=> (tptp.hBOOL (tptp.hAPP @t725 @t154)) (= @t1004 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 @t961) @t540) @t53) @t38))))) % 28.11/28.83 (assume @p887 (forall @t1003 (=> @t1002 (= @t1005 (= @t998 @t41))))) % 28.11/28.83 (assume @p888 (forall @t1007 (=> @t954 (= @t1001 (tptp.hBOOL (tptp.hAPP @t557 @t1006)))))) % 28.11/28.83 (assume @p889 (forall (@list @t38 @t53 @t540 @t157 @t154) (=> @t606 (= @t1004 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t154)) @t540) @t38)))))) % 28.11/28.83 (assume @p890 (forall @t1007 (=> @t954 (= @t1005 (= @t40 @t1006))))) % 28.11/28.83 (assume @p891 (forall (@list @t48 @t38 @t850 @t19) (=> @t287 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t850) @t38)) (= (tptp.hAPP @t855 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t140 @t850)) (tptp.hAPP (tptp.hAPP @t234 (tptp.hAPP @t855 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t38 @t850))) @t48)))))) % 28.11/28.83 (assume @p892 (forall @t39 (=> @t205 (= @t38 @t1008)))) % 28.11/28.83 (assume @p893 (forall @t39 (=> @t205 (= @t1008 @t38)))) % 28.11/28.83 (assume @p894 (forall @t143 (and (=> @t427 (= @t279 @t38)) (=> @t1009 (= @t279 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t956 @t38))))))) % 28.11/28.83 (assume @p895 (forall @t1007 (=> @t954 (= @t1010 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t1006))))) % 28.11/28.83 (assume @p896 (forall @t1003 (=> @t1002 (= @t1010 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t998 @t41))))) % 28.11/28.83 (assume @p897 (forall @t143 (and (=> @t427 (= @t282 @t186)) (=> @t1009 (= @t282 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 (tptp.hAPP (tptp.hAPP @t280 @t956) @t38))))))) % 28.11/28.83 (assume @p898 (forall (@list @t850 @t53) (and (=> @t427 (= @t1012 @t283)) (=> @t1009 (= @t1012 (tptp.hAPP @t856 (tptp.hAPP @t1011 @t956))))))) % 28.11/28.83 (assume @p899 (forall @t70 (=> @t413 (= (tptp.c_Groups_Ominus__class_Ominus @t19 (tptp.hAPP @t843 @t211) (tptp.hAPP @t855 @t211)) (tptp.hAPP @t966 @t527))))) % 28.11/28.83 (assume @p900 (forall @t931 (=> @t895 (and (=> @t203 (= @t1014 @t276)) (=> @t204 (= @t1014 (tptp.hAPP @t278 (tptp.hAPP @t1013 @t929)))))))) % 28.11/28.83 (assume @p901 (forall @t52 (=> @t648 (=> @t647 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t801 @t800) (tptp.hAPP tptp.c_Int_Onat @t1015)))))) % 28.11/28.83 (assume @p902 (forall @t827 (=> @t826 (exists @t116 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t807 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t283))) @t419)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t419 @t825)))))) % 28.11/28.83 (assume @p903 (forall @t178 (= @t701 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t21 @t96)) @t551))))) % 28.11/28.83 (assume @p904 (forall @t743 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t428 @t741) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t428 @t741) @t213)))) % 28.11/28.83 (assume @p905 (forall @t253 (= @t1017 @t1016))) % 28.11/28.83 (assume @p906 (forall @t253 (= @t1016 @t1017))) % 28.11/28.83 (assume @p907 (forall @t261 (= (tptp.hAPP @t258 @t1018) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t260 @t259)))) % 28.11/28.83 (assume @p908 (forall @t247 (= (tptp.hAPP (tptp.hAPP @t215 @t1018) @t239) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t245 @t242)))) % 28.11/28.83 (assume @p909 (forall @t919 (and @t1020 (=> (not @t1019) (= @t1015 @t213))))) % 28.11/28.83 (assume @p910 (forall @t919 @t1020)) % 28.11/28.83 (assume @p911 (forall (@list @t59 @t419) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t419 @t59) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t419 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t59))))) % 28.11/28.83 (assume @p912 (forall @t52 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t47 @t48) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t47 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t48))))) % 28.11/28.83 (assume @p913 (forall @t228 (= (tptp.hBOOL (tptp.hAPP @t657 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t226 @t221))) @t227))) % 28.11/28.83 (assume @p914 (forall @t57 (=> @t724 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t219 @t409) (tptp.hAPP @t172 @t930))))) % 28.11/28.83 (assume @p915 (forall @t57 (=> @t724 (= (tptp.hAPP @t807 @t930) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t814 @t808))))) % 28.11/28.83 (assume @p916 (forall (@list @t72 @t654) (=> @t803 (=> @t656 (= (tptp.hAPP tptp.c_Int_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t72 @t654)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t784 @t802)))))) % 28.11/28.83 (assume @p917 (forall @t1023 (=> @t1022 (= (tptp.c_RComplete_Onatfloor @t1021) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t765 @t80))))) % 28.11/28.83 (assume @p918 (forall @t212 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t47 @t730) @t816))) % 28.11/28.83 (assume @p919 (forall @t1023 (=> @t1022 (= (tptp.c_RComplete_Onatceiling @t1021) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t762 @t80))))) % 28.11/28.83 (assume @p920 (forall @t52 (=> @t648 (=> @t647 (tptp.hBOOL (tptp.hAPP @t594 @t1015)))))) % 28.11/28.83 (assume @p921 (forall @t52 (= (tptp.c_Nat__Transfer_Otsub @t498 @t497) (tptp.hAPP @t172 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t47 @t48))))) % 28.11/28.83 (assume @p922 (forall (@list @t96 @t21 @t60) (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.hAPP @t172 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t96)))) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t96) @t21)) (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t177 @t176)))) (=> @t175 @t1024))))) % 28.11/28.83 (assume @p923 (forall @t94 (=> @t256 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t229 @t284) @t971)))) % 28.11/28.83 (assume @p924 (forall (@list @t153 @t53) (=> @t932 (=> @t326 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1025 @t53) @t153) (tptp.hAPP @t1025 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t53 @t208))))))) % 28.11/28.83 (assume @p925 (forall (@list @t341 @t83 @t81 @t80 @t19) (=> @t256 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t304 @t342) (tptp.c_Groups_Oplus__class_Oplus @t19 @t964 (tptp.c_Groups_Ominus__class_Ominus @t19 @t81 @t341)))))) % 28.11/28.83 (assume @p926 (forall @t86 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t298) @t83) @t1027))))) % 28.11/28.83 (assume @p927 (forall @t86 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 (tptp.c_Groups_Oplus__class_Oplus @t19 @t80 @t385) @t83) @t1027))))) % 28.11/28.83 (assume @p928 (forall @t93 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t230 @t83) @t1029))))) % 28.11/28.83 (assume @p929 (forall @t93 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t307 @t83) @t1029))))) % 28.11/28.83 (assume @p930 (forall @t338 (=> @t1028 (and (=> @t1031 (= @t1030 @t193)) @t1033)))) % 28.11/28.83 (assume @p931 (forall @t93 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t299 @t83) @t80))))) % 28.11/28.83 (assume @p932 (forall @t93 (=> @t1028 (=> @t362 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t402 @t83) @t80))))) % 28.11/28.83 (assume @p933 (forall @t338 (=> @t1028 (=> @t1032 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t313 @t298) @t1026))))) % 28.11/28.83 (assume @p934 (forall @t338 (=> @t1028 @t1033))) % 28.11/28.83 (assume @p935 (forall @t257 (=> @t1028 (=> @t363 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t80 @t80) @t276))))) % 28.11/28.83 (assume @p936 (forall @t52 (=> @t648 (=> @t647 (tptp.hBOOL (tptp.hAPP @t594 @t1034)))))) % 28.11/28.83 (assume @p937 (forall @t805 (=> @t1037 (=> @t1036 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1035 @t213))))) % 28.11/28.83 (assume @p938 (forall @t1041 (=> @t1040 (= @t1039 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t32))))) % 28.11/28.83 (assume @p939 (forall @t1041 (=> @t1042 (= @t1039 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t213))))) % 28.11/28.83 (assume @p940 (forall (@list @t80) (=> (not (= @t80 @t213)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t80 @t80) @t221)))) % 28.11/28.83 (assume @p941 (forall @t805 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t80 @t1044) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1043 @t83)))) % 28.11/28.83 (assume @p942 (forall @t805 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1043 @t1044) @t1035))) % 28.11/28.83 (assume @p943 (forall (@list @t83) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t213 @t83) @t213))) % 28.11/28.83 (assume @p944 (forall @t257 (=> @t1028 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t193 @t80) @t193)))) % 28.11/28.83 (assume @p945 (forall @t257 (=> @t1028 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t80 @t193) @t193)))) % 28.11/28.83 (assume @p946 (forall @t257 (=> @t1028 (= (tptp.c_Divides_Odiv__class_Odiv @t19 @t80 @t276) @t80)))) % 28.11/28.83 (assume @p947 (forall (@list @t83 @t80 @t81) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t81) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t80 (tptp.hAPP @t694 @t81)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1035 @t81))))) % 28.11/28.83 (assume @p948 (forall (@list @t153 @t47) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t47) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t221 @t153) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t47 @t153) @t47))))) % 28.11/28.83 (assume @p949 (forall (@list @t428 @t183) (= (= @t1046 @t213) (or @t1045 (and (tptp.hBOOL (tptp.hAPP @t594 @t183)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t428)) (and @t785 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t428 @t183)))))) % 28.11/28.83 (assume @p950 (forall @t1041 (=> @t1042 (= @t1048 @t1047)))) % 28.11/28.83 (assume @p951 (forall (@list @t183 @t428) (=> @t1049 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t1046) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t428) @t183)))))) % 28.11/28.83 (assume @p952 (forall (@list @t31 @t32) (=> @t1047 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t1038) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t31) @t32)) @t1042))))) % 28.11/28.83 (assume @p953 (forall @t1053 (=> @t1052 (=> @t683 (=> @t737 (tptp.hBOOL (tptp.hAPP @t1051 @t1050))))))) % 28.11/28.83 (assume @p954 (forall @t805 (=> @t1052 (=> @t1055 @t1054)))) % 28.11/28.83 (assume @p955 (forall @t805 (=> @t1052 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t80 @t83) @t1056)))) % 28.11/28.83 (assume @p956 (forall @t1041 (=> @t1040 (= @t1048 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t32) @t213)))))) % 28.11/28.83 (assume @p957 (forall @t805 (=> @t1058 (=> @t1036 @t1054)))) % 28.11/28.83 (assume @p958 (forall @t1053 (=> @t1037 (=> @t683 (=> @t737 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1050) @t1035))))))) % 28.11/28.83 (assume @p959 (forall @t805 (=> @t1058 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t80) @t1056)))) % 28.11/28.83 (assume @p960 (forall @t1061 (=> @t1060 (=> @t1036 (tptp.hBOOL (tptp.hAPP @t1051 @t1059)))))) % 28.11/28.83 (assume @p961 (forall @t1061 (=> @t1060 (=> @t1055 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1059) @t1035)))))) % 28.11/28.83 (assume @p962 (forall @t1064 (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t41 @t428))) (and (=> @t1045 @t1024) (=> @t1049 (forall @t759 (=> (exists @t189 (and (tptp.hBOOL (tptp.hAPP @t594 @t187)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t428) @t1063)) @t758))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t428 @t213) (forall @t759 (=> (exists @t189 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t428 @t187) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t187) @t213)) @t1063)) @t758))))))) % 28.11/28.83 (assume @p963 (forall (@list @t1067 @t48 @t1065 @t1066) (=> (= @t1066 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t215 @t1065) @t48) @t1067)) (=> (and (=> @t1068 (and (tptp.hBOOL (tptp.hAPP @t594 @t1067)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1067 @t1065))) (=> (not @t1068) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1065 @t1067) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1067) @t213))))) (=> (not (= @t1065 @t213)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1066 @t1065) @t48)))))) % 28.11/28.83 (assume @p964 (forall (@list @t153 @t470) (and (=> @t1070 (= @t1069 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t153 @t470))) (=> (not @t1070) (= @t1069 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t153 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t470)))))))) % 28.11/28.83 (assume @p965 (forall (@list @t428 @t60 @t35) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t213 @t35) (=> (forall @t6 (=> @t651 (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t35))))) (=> (tptp.hBOOL (tptp.hAPP @t594 @t428)) (forall @t6 (=> @t651 (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 (tptp.hAPP @t1062 @t35))))))))))) % 28.11/28.83 (assume @p966 (forall @t196 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t53 @t208) @t53))) % 28.11/28.83 (assume @p967 (forall @t143 @t1072)) % 28.11/28.83 (assume @p968 (forall @t444 (and (=> @t1075 (= @t1073 @t186)) (=> (not @t1075) @t1074)))) % 28.11/28.83 (assume @p969 (forall @t143 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1071) @t53)))) % 28.11/28.83 (assume @p970 (forall @t436 (=> @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t53 @t153)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t38 @t153)))))) % 28.11/28.83 (assume @p971 (forall @t944 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t80 (tptp.hAPP (tptp.hAPP @t280 @t83) @t81)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1076 @t81)))) % 28.11/28.83 (assume @p972 (forall @t805 (= (tptp.hAPP @t172 @t1076) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t172 @t80) (tptp.hAPP @t172 @t83))))) % 28.11/28.83 (assume @p973 (forall @t52 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t498 @t497) (tptp.hAPP @t172 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t47 @t48))))) % 28.11/28.83 (assume @p974 (forall @t57 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t283 @t38) (=> @t932 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1071 @t53))))) % 28.11/28.83 (assume @p975 (forall @t57 (=> @t205 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t282 @t38) @t53)))) % 28.11/28.83 (assume @p976 (forall @t57 (=> @t205 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t446 @t38) @t53)))) % 28.11/28.83 (assume @p977 (forall @t444 (=> @t217 @t1074))) % 28.11/28.83 (assume @p978 (forall @t436 (=> @t932 (=> @t596 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t153 @t38)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t153 @t53))))))) % 28.11/28.83 (assume @p979 (forall @t57 (=> @t205 (and @t1072 @t1077)))) % 28.11/28.83 (assume @p980 (forall @t57 (=> @t205 @t1077))) % 28.11/28.83 (assume @p981 (forall @t1064 (= (tptp.hBOOL (tptp.hAPP @t60 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t41 @t428))) (and (=> @t449 @t760) (=> (not @t449) (forall (@list @t757 @t187) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t187 @t428) (=> (= @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t451 @t757) @t187)) @t758)))))))) % 28.11/28.83 (assume @p982 (forall @t52 (=> @t648 (= @t1079 @t1078)))) % 28.11/28.83 (assume @p983 (forall @t52 (=> @t648 (=> @t647 (= @t1078 @t1079))))) % 28.11/28.83 (assume @p984 (forall (@list @t40 @t1081 @t41) (=> @t199 (= (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t455 @t1081)) @t40)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 (tptp.hAPP @t455 (tptp.c_Nat_OSuc @t1081)))) (= @t1081 @t1080))))) % 28.11/28.83 (assume @p985 (forall (@list @t41 @t40 @t60) (= (tptp.hBOOL (tptp.hAPP @t60 @t1080)) (or (and @t200 @t760) (exists (@list @t1082) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t455 @t1082)) @t40)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 (tptp.hAPP @t455 (tptp.c_Nat_OSuc @t1082))) (tptp.hBOOL (tptp.hAPP @t60 @t1082)))))))) % 28.11/28.83 (assume @p986 (forall @t1086 (=> (tptp.class_Lattices_Oboolean__algebra @t1083) (tptp.class_Lattices_Oboolean__algebra @t1085)))) % 28.11/28.83 (assume @p987 (forall @t1086 (=> (tptp.class_Orderings_Opreorder @t1083) (tptp.class_Orderings_Opreorder @t1085)))) % 28.11/28.83 (assume @p988 (forall @t1086 (=> (tptp.class_Orderings_Oorder @t1083) (tptp.class_Orderings_Oorder @t1085)))) % 28.11/28.83 (assume @p989 (forall @t1086 (=> (tptp.class_Orderings_Oord @t1083) (tptp.class_Orderings_Oord @t1085)))) % 28.11/28.83 (assume @p990 (forall @t1086 (=> (tptp.class_Groups_Ouminus @t1083) (tptp.class_Groups_Ouminus @t1085)))) % 28.11/28.83 (assume @p991 (forall @t1086 (=> (tptp.class_Groups_Ominus @t1083) (tptp.class_Groups_Ominus @t1085)))) % 28.11/28.83 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1021 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1022 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1023 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1024 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1025 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1026 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1027 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1028 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1029 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1030 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1031 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1032 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1033 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1034 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1035 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1037 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1038 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1039 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1040 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1041 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1042 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 28.11/28.83 (assume @p1048 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1049 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1050 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1051 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1052 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1054 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1055 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1056 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1057 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1058 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1059 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1060 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1061 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1062 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1063 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1064 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1065 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1066 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1067 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1068 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1069 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1070 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1071 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1072 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1073 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1074 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1075 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1076 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1077 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1082 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1083 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1084 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1085 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 28.11/28.83 (assume @p1086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1090 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1091 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 28.11/28.83 (assume @p1092 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1093 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1094 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1095 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1096 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1097 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1098 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1100 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1101 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1102 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1103 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1104 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1105 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1106 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1107 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1109 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1110 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1111 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1112 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1113 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1114 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1115 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1116 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1117 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1118 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1119 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1120 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1121 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1122 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1123 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1124 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1125 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1126 (tptp.class_SEQ_Ocomplete__space tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1127 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1128 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1129 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1130 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1131 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1132 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1133 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1134 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1135 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1136 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1137 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1138 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1139 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1140 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1141 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1142 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1143 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1144 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1145 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1146 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1147 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1148 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1149 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 28.11/28.83 (assume @p1150 @t1090) % 28.11/28.83 (assume @p1151 true) % 28.11/28.83 (step @p1152 :rule evaluate :args ((= false true))) % 28.11/28.83 (step @p1153 :rule bool-impl-elim :args (@t10 @t9)) % 28.11/28.83 (step @p1154 :rule cong :premises (@p1153) :args (@t12)) % 28.11/28.83 (step @p1155 :rule eq_resolve :premises (@p2 @p1154)) % 28.11/28.83 (step @p1156 :rule instantiate :premises (@p1155) :args ((@list @t1095 @t1093))) % 28.11/28.83 (step @p1157 :rule bool-impl-elim :args (@t10 @t13)) % 28.11/28.83 (step @p1158 :rule cong :premises (@p1157) :args (@t14)) % 28.11/28.83 (step @p1159 :rule eq_resolve :premises (@p3 @p1158)) % 28.11/28.83 (step @p1160 :rule instantiate :premises (@p1159) :args ((@list @t1094 @t1092))) % 28.11/28.83 (step @p1161 :rule bool-impl-elim :args (@t10 @t1088)) % 28.11/28.83 (step @p1162 :rule cong :premises (@p1161) :args (@t1089)) % 28.11/28.83 (step @p1163 :rule cong :premises (@p1162) :args (@t1090)) % 28.11/28.83 (step @p1164 :rule eq_resolve :premises (@p1150 @p1163)) % 28.11/28.83 (step @p1165 :rule skolemize :premises (@p1164)) % 28.11/28.83 (step @p1166 :rule bool-double-not-elim :args (@t1096)) % 28.11/28.83 (step @p1167 :rule refl :args (@t1099)) % 28.11/28.83 (step @p1168 :rule nary_cong :premises (@p1167 @p1166) :args ((or @t1099 (not @t1098)))) % 28.11/28.83 (step @p1169 :rule cnf_or_neg :args (@t1099 0)) % 28.11/28.83 (step @p1170 :rule eq_resolve :premises (@p1169 @p1168)) % 28.11/28.83 (step @p1171 :rule reordering :premises (@p1170) :args ((or @t1096 @t1099))) % 28.11/28.83 (step @p1172 :rule chain_m_resolution :premises (@p1171 @p1165) :args (@t1096 @t1100 @t1101)) % 28.11/28.83 (step @p1173 :rule cnf_or_pos :args (@t1103)) % 28.11/28.83 (step @p1174 :rule reordering :premises (@p1173) :args ((or @t1098 @t1102 (not @t1103)))) % 28.11/28.83 (step @p1175 :rule chain_m_resolution :premises (@p1174 @p1172 @p1160) :args (@t1102 @t1104 (@list @t1096 @t1103))) % 28.11/28.83 (step @p1176 :rule cnf_or_pos :args (@t1107)) % 28.11/28.83 (step @p1177 :rule reordering :premises (@p1176) :args ((or @t1106 @t1105 (not @t1107)))) % 28.11/28.83 (step @p1178 :rule chain_m_resolution :premises (@p1177 @p1175 @p1156) :args (@t1105 @t1104 (@list @t1102 @t1107))) % 28.11/28.83 (step @p1179 :rule true_intro :premises (@p1178)) % 28.11/28.83 (step @p1180 :rule instantiate :premises (@p7) :args ((@list @t1092 tptp.v_ga____ tptp.v_f____ tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) % 28.11/28.83 (step @p1181 :rule instantiate :premises (@p7) :args ((@list @t1094 tptp.v_ga____ tptp.v_f____ tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat))) % 28.11/28.83 (step @p1182 :rule refl :args (tptp.tc_Nat_Onat)) % 28.11/28.83 (step @p1183 :rule cong :premises (@p1182 @p1181 @p1180) :args (@t1097)) % 28.11/28.83 (step @p1184 :rule cnf_or_neg :args (@t1099 1)) % 28.11/28.83 (step @p1185 :rule chain_m_resolution :premises (@p1184 @p1165) :args ((not @t1097) @t1100 @t1101)) % 28.11/28.83 (step @p1186 :rule false_intro :premises (@p1185)) % 28.11/28.83 (step @p1187 :rule symm :premises (@p1186)) % 28.11/28.83 (step @p1188 :rule trans :premises (@p1187 @p1183 @p1179)) % 28.11/28.83 (step @p1189 false :rule eq_resolve :premises (@p1188 @p1152)) % 28.11/28.83 ) % 28.11/28.83 % SZS output end Proof % 28.11/28.84 % cvc5 exiting %------------------------------------------------------------------------------