%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW173+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:27 AM UTC 2026 % Result : Theorem 1.11s 1.32s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW173+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 21:37:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.43/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.32 % SZS status Theorem % 1.11/1.32 % SZS output start Proof % 1.11/1.32 ( % 1.11/1.32 (declare-sort $$unsorted 0) % 1.11/1.32 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.11/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v_x____ $$unsorted) % 1.11/1.32 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v_z $$unsorted) % 1.11/1.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.11/1.32 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Int_OMin $$unsorted) % 1.11/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Int_OBit0 (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.11/1.32 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.v_y____ $$unsorted) % 1.11/1.32 (declare-const tptp.v_x $$unsorted) % 1.11/1.32 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Int_OBit1 (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.11/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Int_OPls $$unsorted) % 1.11/1.32 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.11/1.32 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.32 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.11/1.32 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.11/1.32 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.11/1.32 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.11/1.32 (define @t3 () (@var "B_x" $$unsorted)) % 1.11/1.32 (define @t4 () (@var "V_a" $$unsorted)) % 1.11/1.32 (define @t5 () (tptp.c_Int_OBit1 tptp.c_Int_OPls)) % 1.11/1.32 (define @t6 () (@var "T_a" $$unsorted)) % 1.11/1.32 (define @t7 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t5)) % 1.11/1.32 (define @t8 () (tptp.class_Int_Onumber__ring @t6)) % 1.11/1.32 (define @t9 () (tptp.class_Fields_Ofield @t6)) % 1.11/1.32 (define @t10 () (and @t9 @t8)) % 1.11/1.32 (define @t11 () (@list @t4 @t6)) % 1.11/1.32 (define @t12 () (@var "V_x" $$unsorted)) % 1.11/1.32 (define @t13 () (@list @t12 @t6)) % 1.11/1.32 (define @t14 () (@var "V_n" $$unsorted)) % 1.11/1.32 (define @t15 () (@var "V_b" $$unsorted)) % 1.11/1.32 (define @t16 () (tptp.c_Power_Opower__class_Opower @t6)) % 1.11/1.32 (define @t17 () (tptp.hAPP @t16 @t15)) % 1.11/1.32 (define @t18 () (tptp.hAPP @t17 @t14)) % 1.11/1.32 (define @t19 () (tptp.hAPP @t16 @t4)) % 1.11/1.32 (define @t20 () (tptp.hAPP @t19 @t14)) % 1.11/1.32 (define @t21 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t15)) % 1.11/1.32 (define @t22 () (= (tptp.hAPP (tptp.hAPP @t16 @t21) @t14) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t20 @t18))) % 1.11/1.32 (define @t23 () (tptp.class_Fields_Ofield__inverse__zero @t6)) % 1.11/1.32 (define @t24 () (@list @t14 @t15 @t4 @t6)) % 1.11/1.32 (define @t25 () (forall @t24 (=> @t23 @t22))) % 1.11/1.32 (define @t26 () (@var "V_l_2" $$unsorted)) % 1.11/1.32 (define @t27 () (tptp.c_Int_OBit0 @t26)) % 1.11/1.32 (define @t28 () (@list @t26)) % 1.11/1.32 (define @t29 () (@var "V_k_2" $$unsorted)) % 1.11/1.32 (define @t30 () (tptp.c_Int_OBit0 @t29)) % 1.11/1.32 (define @t31 () (@list @t29)) % 1.11/1.32 (define @t32 () (@var "V_l" $$unsorted)) % 1.11/1.32 (define @t33 () (tptp.c_Int_OBit1 @t32)) % 1.11/1.32 (define @t34 () (@var "V_k" $$unsorted)) % 1.11/1.32 (define @t35 () (tptp.c_Int_OBit0 @t34)) % 1.11/1.32 (define @t36 () (@list @t32 @t34)) % 1.11/1.32 (define @t37 () (tptp.c_Int_OBit0 @t32)) % 1.11/1.32 (define @t38 () (tptp.c_Int_OBit1 @t34)) % 1.11/1.32 (define @t39 () (@list @t32)) % 1.11/1.32 (define @t40 () (@list @t34)) % 1.11/1.32 (define @t41 () (tptp.c_Int_OBit0 @t5)) % 1.11/1.32 (define @t42 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t41)) % 1.11/1.32 (define @t43 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t41)) % 1.11/1.32 (define @t44 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.11/1.32 (define @t45 () (tptp.hAPP @t44 @t43)) % 1.11/1.32 (define @t46 () (tptp.hAPP @t45 @t12)) % 1.11/1.32 (define @t47 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.11/1.32 (define @t48 () (tptp.hAPP @t47 @t12)) % 1.11/1.32 (define @t49 () (tptp.hAPP @t48 @t42)) % 1.11/1.32 (define @t50 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal (tptp.c_Int_OBit0 @t41))) % 1.11/1.32 (define @t51 () (@list @t12)) % 1.11/1.32 (define @t52 () (@var "V_w" $$unsorted)) % 1.11/1.32 (define @t53 () (@var "T_b" $$unsorted)) % 1.11/1.32 (define @t54 () (tptp.c_Int_Onumber__class_Onumber__of @t53 @t52)) % 1.11/1.32 (define @t55 () (tptp.c_Groups_Otimes__class_Otimes @t53)) % 1.11/1.32 (define @t56 () (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t53) @t54) @t42) (tptp.hAPP (tptp.hAPP @t55 @t54) @t54))) % 1.11/1.32 (define @t57 () (tptp.class_Int_Onumber @t53)) % 1.11/1.32 (define @t58 () (tptp.class_Groups_Omonoid__mult @t53)) % 1.11/1.32 (define @t59 () (and @t58 @t57)) % 1.11/1.32 (define @t60 () (forall (@list @t52 @t53) (=> @t59 @t56))) % 1.11/1.32 (define @t61 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t52)) % 1.11/1.32 (define @t62 () (@var "V_v" $$unsorted)) % 1.11/1.32 (define @t63 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t62)) % 1.11/1.32 (define @t64 () (tptp.c_Groups_Otimes__class_Otimes @t6)) % 1.11/1.32 (define @t65 () (tptp.hAPP @t64 @t63)) % 1.11/1.32 (define @t66 () (tptp.hAPP @t65 @t61)) % 1.11/1.32 (define @t67 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.11/1.32 (define @t68 () (tptp.hAPP @t67 @t62)) % 1.11/1.32 (define @t69 () (tptp.hAPP @t68 @t52)) % 1.11/1.32 (define @t70 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t69)) % 1.11/1.32 (define @t71 () (@list @t52 @t62 @t6)) % 1.11/1.32 (define @t72 () (@var "V_z" $$unsorted)) % 1.11/1.32 (define @t73 () (@list @t72 @t52 @t62 @t6)) % 1.11/1.32 (define @t74 () (tptp.hAPP @t64 @t20)) % 1.11/1.32 (define @t75 () (tptp.hAPP @t64 @t4)) % 1.11/1.32 (define @t76 () (tptp.hAPP @t75 @t15)) % 1.11/1.32 (define @t77 () (tptp.class_Groups_Ocomm__monoid__mult @t6)) % 1.11/1.32 (define @t78 () (tptp.hAPP @t75 @t20)) % 1.11/1.32 (define @t79 () (tptp.hAPP @t74 @t4)) % 1.11/1.32 (define @t80 () (tptp.class_Groups_Omonoid__mult @t6)) % 1.11/1.32 (define @t81 () (@list @t14 @t4 @t6)) % 1.11/1.32 (define @t82 () (@list @t52)) % 1.11/1.32 (define @t83 () (@var "V_m" $$unsorted)) % 1.11/1.32 (define @t84 () (tptp.hAPP @t19 @t83)) % 1.11/1.32 (define @t85 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.11/1.32 (define @t86 () (tptp.hAPP @t85 @t83)) % 1.11/1.32 (define @t87 () (tptp.hAPP @t86 @t14)) % 1.11/1.32 (define @t88 () (@list @t14 @t83 @t4 @t6)) % 1.11/1.32 (define @t89 () (tptp.hAPP @t67 @t34)) % 1.11/1.32 (define @t90 () (tptp.c_Int_OBit0 (tptp.hAPP @t89 @t32))) % 1.11/1.32 (define @t91 () (@var "V_r" $$unsorted)) % 1.11/1.32 (define @t92 () (tptp.hAPP @t44 @t91)) % 1.11/1.32 (define @t93 () (tptp.hAPP @t75 @t4)) % 1.11/1.32 (define @t94 () (tptp.c_Int_OBit1 @t5)) % 1.11/1.32 (define @t95 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t94)) % 1.11/1.32 (define @t96 () (@var "V_ya_2" $$unsorted)) % 1.11/1.32 (define @t97 () (@var "V_xa_2" $$unsorted)) % 1.11/1.32 (define @t98 () (= @t97 @t96)) % 1.11/1.32 (define @t99 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t96)) % 1.11/1.32 (define @t100 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t97)) % 1.11/1.32 (define @t101 () (@list @t96 @t97 @t6)) % 1.11/1.32 (define @t102 () (@var "V_w_2" $$unsorted)) % 1.11/1.32 (define @t103 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t102)) % 1.11/1.32 (define @t104 () (tptp.class_Int_Onumber @t6)) % 1.11/1.32 (define @t105 () (= @t29 @t26)) % 1.11/1.32 (define @t106 () (tptp.c_Int_OBit1 @t26)) % 1.11/1.32 (define @t107 () (tptp.c_Int_OBit1 @t29)) % 1.11/1.32 (define @t108 () (@list @t26 @t29)) % 1.11/1.32 (define @t109 () (tptp.hAPP @t19 @t42)) % 1.11/1.32 (define @t110 () (tptp.hAPP (tptp.hAPP @t16 @t20) @t42)) % 1.11/1.32 (define @t111 () (tptp.hAPP @t85 @t42)) % 1.11/1.32 (define @t112 () (tptp.hAPP @t111 @t14)) % 1.11/1.32 (define @t113 () (tptp.hAPP @t19 @t112)) % 1.11/1.32 (define @t114 () (@var "V_za_2" $$unsorted)) % 1.11/1.32 (define @t115 () (tptp.hAPP @t16 @t12)) % 1.11/1.32 (define @t116 () (tptp.hAPP @t115 @t14)) % 1.11/1.32 (define @t117 () (tptp.hAPP (tptp.hAPP @t64 @t116) @t116)) % 1.11/1.32 (define @t118 () (tptp.class_Rings_Ocomm__semiring__1 @t6)) % 1.11/1.32 (define @t119 () (@list @t14 @t12 @t6)) % 1.11/1.32 (define @t120 () (tptp.hAPP @t115 @t42)) % 1.11/1.32 (define @t121 () (tptp.hAPP @t64 @t12)) % 1.11/1.32 (define @t122 () (tptp.hAPP @t121 @t12)) % 1.11/1.32 (define @t123 () (@var "V_y" $$unsorted)) % 1.11/1.32 (define @t124 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t41)) % 1.11/1.32 (define @t125 () (tptp.hAPP @t64 @t124)) % 1.11/1.32 (define @t126 () (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t125 @t12)) @t123)) % 1.11/1.32 (define @t127 () (tptp.hAPP @t16 @t123)) % 1.11/1.32 (define @t128 () (tptp.hAPP @t127 @t42)) % 1.11/1.32 (define @t129 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t120 @t128)) % 1.11/1.32 (define @t130 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t12 @t123)) % 1.11/1.32 (define @t131 () (@list @t123 @t12 @t6)) % 1.11/1.32 (define @t132 () (tptp.hAPP @t64 @t123)) % 1.11/1.32 (define @t133 () (tptp.hAPP @t121 @t72)) % 1.11/1.32 (define @t134 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t12 @t123)) % 1.11/1.32 (define @t135 () (@var "V_c" $$unsorted)) % 1.11/1.32 (define @t136 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t15 @t135)) % 1.11/1.32 (define @t137 () (tptp.class_Rings_Odivision__ring @t6)) % 1.11/1.32 (define @t138 () (@list @t135 @t15 @t4 @t6)) % 1.11/1.32 (define @t139 () (@var "V_q" $$unsorted)) % 1.11/1.32 (define @t140 () (tptp.hAPP @t115 @t139)) % 1.11/1.32 (define @t141 () (tptp.hAPP @t64 @t140)) % 1.11/1.32 (define @t142 () (tptp.hAPP @t121 @t123)) % 1.11/1.32 (define @t143 () (tptp.c_Nat_OSuc @t112)) % 1.11/1.32 (define @t144 () (tptp.hAPP @t19 @t143)) % 1.11/1.32 (define @t145 () (tptp.c_Groups_Ozero__class_Ozero @t6)) % 1.11/1.32 (define @t146 () (@var "V_a_2" $$unsorted)) % 1.11/1.32 (define @t147 () (= @t146 @t145)) % 1.11/1.32 (define @t148 () (tptp.hAPP @t16 @t146)) % 1.11/1.32 (define @t149 () (tptp.hAPP @t148 @t42)) % 1.11/1.32 (define @t150 () (tptp.class_Rings_Oring__1__no__zero__divisors @t6)) % 1.11/1.32 (define @t151 () (@list @t146 @t6)) % 1.11/1.32 (define @t152 () (tptp.hAPP @t16 @t145)) % 1.11/1.32 (define @t153 () (tptp.class_Rings_Osemiring__1 @t6)) % 1.11/1.32 (define @t154 () (@list @t6)) % 1.11/1.32 (define @t155 () (tptp.hAPP (tptp.hAPP @t47 @t123) @t42)) % 1.11/1.32 (define @t156 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 @t155)) % 1.11/1.32 (define @t157 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 @t123)) % 1.11/1.32 (define @t158 () (@list @t123 @t12)) % 1.11/1.32 (define @t159 () (tptp.c_Groups_Oone__class_Oone @t6)) % 1.11/1.32 (define @t160 () (tptp.hAPP @t16 @t159)) % 1.11/1.32 (define @t161 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.11/1.32 (define @t162 () (tptp.c_Nat_OSuc @t14)) % 1.11/1.32 (define @t163 () (@list @t14)) % 1.11/1.32 (define @t164 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.11/1.32 (define @t165 () (@list @t72)) % 1.11/1.32 (define @t166 () (tptp.hAPP @t152 @t14)) % 1.11/1.32 (define @t167 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.11/1.32 (define @t168 () (= @t14 @t167)) % 1.11/1.32 (define @t169 () (not @t168)) % 1.11/1.32 (define @t170 () (tptp.class_Power_Opower @t6)) % 1.11/1.32 (define @t171 () (and @t170 (tptp.class_Rings_Osemiring__0 @t6))) % 1.11/1.32 (define @t172 () (@list @t14 @t6)) % 1.11/1.32 (define @t173 () (tptp.hAPP @t67 @t72)) % 1.11/1.32 (define @t174 () (tptp.hAPP @t67 @t52)) % 1.11/1.32 (define @t175 () (tptp.hAPP @t173 @t52)) % 1.11/1.32 (define @t176 () (@list @t52 @t72)) % 1.11/1.32 (define @t177 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t159 @t159)) % 1.11/1.32 (define @t178 () (tptp.hAPP @t64 @t177)) % 1.11/1.32 (define @t179 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t4)) % 1.11/1.32 (define @t180 () (= @t4 @t145)) % 1.11/1.32 (define @t181 () (not @t180)) % 1.11/1.32 (define @t182 () (=> @t181 (= @t179 @t159))) % 1.11/1.32 (define @t183 () (tptp.class_Rings_Odivision__ring__inverse__zero @t6)) % 1.11/1.32 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t159)) % 1.11/1.32 (define @t185 () (tptp.hAPP (tptp.hAPP @t64 @t184) @t83)) % 1.11/1.32 (define @t186 () (tptp.hAPP @t75 @t83)) % 1.11/1.32 (define @t187 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.11/1.32 (define @t188 () (tptp.hAPP @t187 @t12)) % 1.11/1.32 (define @t189 () (tptp.hAPP @t188 @t123)) % 1.11/1.32 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t72)) % 1.11/1.32 (define @t191 () (@list @t72 @t123 @t12)) % 1.11/1.32 (define @t192 () (@var "V_z2" $$unsorted)) % 1.11/1.32 (define @t193 () (tptp.hAPP @t174 @t192)) % 1.11/1.32 (define @t194 () (@var "V_z1" $$unsorted)) % 1.11/1.32 (define @t195 () (tptp.hAPP @t174 @t194)) % 1.11/1.32 (define @t196 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t194 @t192)) % 1.11/1.32 (define @t197 () (@list @t192 @t194 @t52)) % 1.11/1.32 (define @t198 () (tptp.c_Nat_OSuc @t167)) % 1.11/1.32 (define @t199 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.11/1.32 (define @t200 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t52)) % 1.11/1.32 (define @t201 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t62)) % 1.11/1.32 (define @t202 () (@list @t52 @t62)) % 1.11/1.32 (define @t203 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t146 @t146)) % 1.11/1.32 (define @t204 () (tptp.class_Groups_Olinordered__ab__group__add @t6)) % 1.11/1.32 (define @t205 () (@var "V_z3" $$unsorted)) % 1.11/1.32 (define @t206 () (tptp.hAPP @t67 @t192)) % 1.11/1.32 (define @t207 () (tptp.hAPP @t67 @t194)) % 1.11/1.32 (define @t208 () (@list @t205 @t192 @t194)) % 1.11/1.32 (define @t209 () (tptp.hAPP @t206 @t52)) % 1.11/1.32 (define @t210 () (tptp.hAPP @t207 @t52)) % 1.11/1.32 (define @t211 () (@list @t52 @t192 @t194)) % 1.11/1.32 (define @t212 () (@var "V_m_2" $$unsorted)) % 1.11/1.32 (define @t213 () (= @t212 @t167)) % 1.11/1.32 (define @t214 () (tptp.hAPP @t199 @t97)) % 1.11/1.32 (define @t215 () (@var "V_b_2" $$unsorted)) % 1.11/1.32 (define @t216 () (= @t146 @t215)) % 1.11/1.32 (define @t217 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t146 @t215)) % 1.11/1.32 (define @t218 () (= @t215 @t145)) % 1.11/1.32 (define @t219 () (@list @t146 @t215 @t6)) % 1.11/1.32 (define @t220 () (@var "V_d" $$unsorted)) % 1.11/1.32 (define @t221 () (tptp.hAPP @t64 @t91)) % 1.11/1.32 (define @t222 () (= @t4 @t15)) % 1.11/1.32 (define @t223 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t6)) % 1.11/1.32 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t15 @t220)) % 1.11/1.32 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t135)) % 1.11/1.32 (define @t226 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t135 @t220)) % 1.11/1.32 (define @t227 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t15)) % 1.11/1.32 (define @t228 () (@list @t220 @t135 @t15 @t4 @t6)) % 1.11/1.32 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t227 @t135)) % 1.11/1.32 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t15 @t135)) % 1.11/1.32 (define @t231 () (= @t229 (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t230))) % 1.11/1.32 (define @t232 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t226)) % 1.11/1.32 (define @t233 () (@list @t220 @t135 @t4 @t6)) % 1.11/1.32 (define @t234 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t215 @t146)) % 1.11/1.32 (define @t235 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t135 @t4)) % 1.11/1.32 (define @t236 () (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t145) @t4)) % 1.11/1.32 (define @t237 () (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t145 @t4) @t4)) % 1.11/1.32 (define @t238 () (tptp.class_Rings_Ozero__neq__one @t6)) % 1.11/1.32 (define @t239 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t62 @t52)) % 1.11/1.32 (define @t240 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t239)) % 1.11/1.32 (define @t241 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t63 @t61)) % 1.11/1.32 (define @t242 () (= @t96 @t145)) % 1.11/1.32 (define @t243 () (= @t97 @t145)) % 1.11/1.32 (define @t244 () (and @t243 @t242)) % 1.11/1.32 (define @t245 () (tptp.hAPP @t64 @t97)) % 1.11/1.32 (define @t246 () (tptp.hAPP @t245 @t97)) % 1.11/1.32 (define @t247 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t246 (tptp.hAPP (tptp.hAPP @t64 @t96) @t96))) % 1.11/1.32 (define @t248 () (tptp.class_Rings_Olinordered__ring__strict @t6)) % 1.11/1.32 (define @t249 () (@var "V_n_2" $$unsorted)) % 1.11/1.32 (define @t250 () (= @t249 @t167)) % 1.11/1.32 (define @t251 () (not @t250)) % 1.11/1.32 (define @t252 () (tptp.hAPP @t148 @t249)) % 1.11/1.32 (define @t253 () (tptp.class_Rings_Ono__zero__divisors @t6)) % 1.11/1.32 (define @t254 () (tptp.class_Rings_Omult__zero @t6)) % 1.11/1.32 (define @t255 () (and @t170 @t254 @t253 @t238)) % 1.11/1.32 (define @t256 () (tptp.hAPP @t64 @t102)) % 1.11/1.32 (define @t257 () (tptp.hAPP @t245 @t114)) % 1.11/1.32 (define @t258 () (tptp.hAPP @t256 @t96)) % 1.11/1.32 (define @t259 () (@var "V_e" $$unsorted)) % 1.11/1.32 (define @t260 () (tptp.hAPP @t64 @t227)) % 1.11/1.32 (define @t261 () (tptp.hAPP @t64 @t15)) % 1.11/1.32 (define @t262 () (tptp.hAPP @t261 @t135)) % 1.11/1.32 (define @t263 () (tptp.hAPP @t75 @t135)) % 1.11/1.32 (define @t264 () (= (tptp.hAPP @t260 @t135) (tptp.c_Groups_Oplus__class_Oplus @t6 @t263 @t262))) % 1.11/1.32 (define @t265 () (@var "V_c_2" $$unsorted)) % 1.11/1.32 (define @t266 () (tptp.hAPP @t64 @t215)) % 1.11/1.32 (define @t267 () (tptp.hAPP @t266 @t265)) % 1.11/1.32 (define @t268 () (@var "V_d_2" $$unsorted)) % 1.11/1.32 (define @t269 () (tptp.hAPP @t64 @t146)) % 1.11/1.32 (define @t270 () (tptp.hAPP @t269 @t265)) % 1.11/1.32 (define @t271 () (= @t265 @t268)) % 1.11/1.32 (define @t272 () (@list @t268 @t265 @t215 @t146 @t6)) % 1.11/1.32 (define @t273 () (= (tptp.hAPP @t75 @t159) @t4)) % 1.11/1.32 (define @t274 () (= (tptp.hAPP (tptp.hAPP @t64 @t159) @t4) @t4)) % 1.11/1.32 (define @t275 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t135)) % 1.11/1.32 (define @t276 () (= @t15 @t145)) % 1.11/1.32 (define @t277 () (= @t76 @t145)) % 1.11/1.32 (define @t278 () (@list @t15 @t4 @t6)) % 1.11/1.32 (define @t279 () (not @t276)) % 1.11/1.32 (define @t280 () (tptp.hAPP @t269 @t215)) % 1.11/1.32 (define @t281 () (@list @t215 @t146 @t6)) % 1.11/1.32 (define @t282 () (= (tptp.hAPP @t75 @t145) @t145)) % 1.11/1.32 (define @t283 () (= (tptp.hAPP (tptp.hAPP @t64 @t145) @t4) @t145)) % 1.11/1.32 (define @t284 () (tptp.hAPP @t132 @t72)) % 1.11/1.32 (define @t285 () (tptp.hAPP (tptp.hAPP @t64 @t52) @t123)) % 1.11/1.32 (define @t286 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t52 @t72)) % 1.11/1.32 (define @t287 () (not (= @t72 @t145))) % 1.11/1.32 (define @t288 () (not (= @t123 @t145))) % 1.11/1.32 (define @t289 () (@list @t52 @t12 @t72 @t123 @t6)) % 1.11/1.32 (define @t290 () (tptp.hAPP @t64 @t72)) % 1.11/1.32 (define @t291 () (tptp.hAPP @t290 @t123)) % 1.11/1.32 (define @t292 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t12 @t291)) % 1.11/1.32 (define @t293 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t12 @t72)) % 1.11/1.32 (define @t294 () (@list @t123 @t12 @t72 @t6)) % 1.11/1.32 (define @t295 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t292 @t123)) % 1.11/1.32 (define @t296 () (@list @t72 @t12 @t123 @t6)) % 1.11/1.32 (define @t297 () (tptp.hAPP @t290 @t12)) % 1.11/1.32 (define @t298 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t123 @t72)) % 1.11/1.32 (define @t299 () (@list @t12 @t72 @t123 @t6)) % 1.11/1.32 (define @t300 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t159 @t61)) % 1.11/1.32 (define @t301 () (@list @t52 @t6)) % 1.11/1.32 (define @t302 () (@list @t62 @t6)) % 1.11/1.32 (define @t303 () (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Int_OBit0 @t52))) % 1.11/1.32 (define @t304 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t32)) % 1.11/1.32 (define @t305 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.11/1.32 (define @t306 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OPls)) % 1.11/1.32 (define @t307 () (tptp.hAPP @t115 (tptp.c_Nat_OSuc @t139))) % 1.11/1.32 (define @t308 () (@list @t139 @t12 @t6)) % 1.11/1.32 (define @t309 () (tptp.hAPP @t121 @t140)) % 1.11/1.32 (define @t310 () (@var "V_p" $$unsorted)) % 1.11/1.32 (define @t311 () (tptp.hAPP @t115 @t310)) % 1.11/1.32 (define @t312 () (@list @t139 @t310 @t12 @t6)) % 1.11/1.32 (define @t313 () (not (= @t135 @t145))) % 1.11/1.32 (define @t314 () (@list @t15 @t4 @t135 @t6)) % 1.11/1.32 (define @t315 () (@list @t4 @t15 @t135 @t6)) % 1.11/1.32 (define @t316 () (not @t242)) % 1.11/1.32 (define @t317 () (tptp.hAPP @t64 @t135)) % 1.11/1.32 (define @t318 () (tptp.hAPP @t317 @t15)) % 1.11/1.32 (define @t319 () (tptp.hAPP @t317 @t4)) % 1.11/1.32 (define @t320 () (= @t215 @t270)) % 1.11/1.32 (define @t321 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t215 @t265)) % 1.11/1.32 (define @t322 () (= @t321 @t146)) % 1.11/1.32 (define @t323 () (= @t265 @t145)) % 1.11/1.32 (define @t324 () (not @t323)) % 1.11/1.32 (define @t325 () (@list @t146 @t215 @t265 @t6)) % 1.11/1.32 (define @t326 () (= @t270 @t215)) % 1.11/1.32 (define @t327 () (= @t146 @t321)) % 1.11/1.32 (define @t328 () (@list @t215 @t146 @t265 @t6)) % 1.11/1.32 (define @t329 () (=> @t323 @t147)) % 1.11/1.32 (define @t330 () (@list @t146 @t265 @t215 @t6)) % 1.11/1.32 (define @t331 () (@list @t265 @t215 @t146 @t6)) % 1.11/1.32 (define @t332 () (tptp.hAPP @t178 @t61)) % 1.11/1.32 (define @t333 () (=> @t8 (= @t332 @t303))) % 1.11/1.32 (define @t334 () (forall @t301 @t333)) % 1.11/1.32 (define @t335 () (tptp.c_Nat_OSuc @t162)) % 1.11/1.32 (define @t336 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t5)) % 1.11/1.32 (define @t337 () (tptp.c_Nat_OSuc @t198)) % 1.11/1.32 (define @t338 () (=> @t8 (= @t177 @t124))) % 1.11/1.32 (define @t339 () (forall @t154 @t338)) % 1.11/1.32 (define @t340 () (tptp.c_Int_Onumber__class_Onumber__of @t53 @t62)) % 1.11/1.32 (define @t341 () (tptp.hAPP (tptp.hAPP @t55 @t15) @t340)) % 1.11/1.32 (define @t342 () (tptp.hAPP (tptp.hAPP @t55 @t4) @t340)) % 1.11/1.32 (define @t343 () (and @t57 (tptp.class_Rings_Osemiring @t53))) % 1.11/1.32 (define @t344 () (@list @t62 @t15 @t4 @t53)) % 1.11/1.32 (define @t345 () (tptp.hAPP @t55 @t340)) % 1.11/1.32 (define @t346 () (tptp.hAPP @t345 @t135)) % 1.11/1.32 (define @t347 () (tptp.hAPP @t345 @t15)) % 1.11/1.32 (define @t348 () (@list @t135 @t15 @t62 @t53)) % 1.11/1.32 (define @t349 () (tptp.c_Int_Onumber__class_Onumber__of @t6 tptp.c_Int_OPls)) % 1.11/1.32 (define @t350 () (tptp.hAPP @t19 @t162)) % 1.11/1.32 (define @t351 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t14)) % 1.11/1.32 (define @t352 () (tptp.c_Int_OBit1 @t304)) % 1.11/1.32 (define @t353 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat tptp.c_Int_OPls)) % 1.11/1.32 (define @t354 () (tptp.hAPP @t16 @t96)) % 1.11/1.32 (define @t355 () (tptp.hAPP @t16 @t97)) % 1.11/1.32 (define @t356 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t355 @t42) (tptp.hAPP @t354 @t42))) % 1.11/1.32 (define @t357 () (tptp.class_Rings_Olinordered__idom @t6)) % 1.11/1.32 (define @t358 () (@var "V_ry" $$unsorted)) % 1.11/1.32 (define @t359 () (@var "V_ly" $$unsorted)) % 1.11/1.32 (define @t360 () (tptp.hAPP @t64 @t359)) % 1.11/1.32 (define @t361 () (@var "V_rx" $$unsorted)) % 1.11/1.32 (define @t362 () (@var "V_lx" $$unsorted)) % 1.11/1.32 (define @t363 () (tptp.hAPP @t64 @t362)) % 1.11/1.32 (define @t364 () (tptp.hAPP @t64 (tptp.hAPP @t363 @t361))) % 1.11/1.32 (define @t365 () (tptp.hAPP @t64 @t361)) % 1.11/1.32 (define @t366 () (tptp.hAPP @t365 @t358)) % 1.11/1.32 (define @t367 () (tptp.hAPP @t64 (tptp.hAPP @t363 @t359))) % 1.11/1.32 (define @t368 () (tptp.hAPP @t367 @t366)) % 1.11/1.32 (define @t369 () (@list @t358 @t361 @t359 @t362 @t6)) % 1.11/1.32 (define @t370 () (tptp.hAPP @t367 @t361)) % 1.11/1.32 (define @t371 () (@list @t361 @t359 @t362 @t6)) % 1.11/1.32 (define @t372 () (tptp.hAPP @t363 @t366)) % 1.11/1.32 (define @t373 () (@list @t358 @t361 @t362 @t6)) % 1.11/1.32 (define @t374 () (tptp.hAPP @t261 @t4)) % 1.11/1.32 (define @t375 () (= @t103 @t145)) % 1.11/1.32 (define @t376 () (=> @t375 @t147)) % 1.11/1.32 (define @t377 () (tptp.hAPP @t269 @t103)) % 1.11/1.32 (define @t378 () (not @t375)) % 1.11/1.32 (define @t379 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t215 @t103)) % 1.11/1.32 (define @t380 () (and @t23 @t104)) % 1.11/1.32 (define @t381 () (@list @t102 @t215 @t146 @t6)) % 1.11/1.32 (define @t382 () (=> @t323 @t375)) % 1.11/1.32 (define @t383 () (tptp.hAPP (tptp.hAPP @t64 @t103) @t265)) % 1.11/1.32 (define @t384 () (@list @t265 @t215 @t102 @t6)) % 1.11/1.32 (define @t385 () (@list @t102 @t265 @t215 @t6)) % 1.11/1.32 (define @t386 () (@list @t146 @t102 @t215 @t6)) % 1.11/1.32 (define @t387 () (and @t23 @t8)) % 1.11/1.32 (define @t388 () (tptp.hAPP @t85 @t310)) % 1.11/1.32 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t72)) % 1.11/1.32 (define @t390 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t72 @t72)) % 1.11/1.32 (define @t391 () (@list @t72 @t6)) % 1.11/1.32 (define @t392 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t12 @t43)) % 1.11/1.32 (define @t393 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.11/1.32 (define @t394 () (= @t97 @t393)) % 1.11/1.32 (define @t395 () (and @t394 (= @t96 @t393))) % 1.11/1.32 (define @t396 () (@list @t96 @t97)) % 1.11/1.32 (define @t397 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t52)) % 1.11/1.32 (define @t398 () (tptp.hAPP @t152 @t397)) % 1.11/1.32 (define @t399 () (= @t397 @t167)) % 1.11/1.32 (define @t400 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t102)) % 1.11/1.32 (define @t401 () (= @t400 @t167)) % 1.11/1.32 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t4)) % 1.11/1.32 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t6 @t4 @t145)) % 1.11/1.32 (define @t404 () (tptp.c_Int_Onumber__class_Onumber__of @t6 tptp.c_Int_OMin)) % 1.11/1.32 (define @t405 () (tptp.hAPP @t16 @t404)) % 1.11/1.32 (define @t406 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t159)) % 1.11/1.32 (define @t407 () (tptp.hAPP @t16 @t406)) % 1.11/1.32 (define @t408 () (tptp.class_Rings_Oring__1 @t6)) % 1.11/1.32 (define @t409 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t12 @t123)) % 1.11/1.32 (define @t410 () (= tptp.v_y____ @t393)) % 1.11/1.32 (define @t411 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t164 @t72)) % 1.11/1.32 (define @t412 () (tptp.hAPP @t44 @t12)) % 1.11/1.32 (define @t413 () (tptp.hAPP @t412 @t12)) % 1.11/1.32 (define @t414 () (@var "V_u" $$unsorted)) % 1.11/1.32 (define @t415 () (@list @t12 @t414)) % 1.11/1.32 (define @t416 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t52)) % 1.11/1.32 (define @t417 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t72)) % 1.11/1.32 (define @t418 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t52)) % 1.11/1.32 (define @t419 () (@list @t114)) % 1.11/1.32 (define @t420 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t97)) % 1.11/1.32 (define @t421 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 (tptp.hAPP @t214 @t249))) % 1.11/1.32 (define @t422 () (@list @t249 @t97)) % 1.11/1.32 (define @t423 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 @t72)) % 1.11/1.32 (define @t424 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t416)) % 1.11/1.32 (define @t425 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t72 @t52)) % 1.11/1.32 (define @t426 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 @t26)) % 1.11/1.32 (define @t427 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t114 @t164))) % 1.11/1.32 (define @t428 () (@list @t114 @t102)) % 1.11/1.32 (define @t429 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t114)) % 1.11/1.32 (define @t430 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t62 @t416)) % 1.11/1.32 (define @t431 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t97 @t96)) % 1.11/1.32 (define @t432 () (tptp.hAPP @t44 @t96)) % 1.11/1.32 (define @t433 () (tptp.hAPP @t432 @t114)) % 1.11/1.32 (define @t434 () (tptp.hAPP @t44 @t97)) % 1.11/1.32 (define @t435 () (tptp.hAPP @t434 @t114)) % 1.11/1.32 (define @t436 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t114)) % 1.11/1.32 (define @t437 () (@list @t96 @t97 @t114)) % 1.11/1.32 (define @t438 () (tptp.hAPP @t44 @t114)) % 1.11/1.32 (define @t439 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t83 @t14)) % 1.11/1.32 (define @t440 () (@var "V_i" $$unsorted)) % 1.11/1.32 (define @t441 () (tptp.hAPP @t199 @t440)) % 1.11/1.32 (define @t442 () (tptp.hAPP @t441 @t14)) % 1.11/1.32 (define @t443 () (@var "V_j" $$unsorted)) % 1.11/1.32 (define @t444 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t440 @t443)) % 1.11/1.32 (define @t445 () (@list @t34 @t443 @t440)) % 1.11/1.32 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t440 @t443)) % 1.11/1.32 (define @t447 () (@var "V_z_H" $$unsorted)) % 1.11/1.32 (define @t448 () (@var "V_w_H" $$unsorted)) % 1.11/1.32 (define @t449 () (tptp.c_Orderings_Oord__class_Oless @t6 @t12 @t123)) % 1.11/1.32 (define @t450 () (= @t12 @t123)) % 1.11/1.32 (define @t451 () (not @t450)) % 1.11/1.32 (define @t452 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t97)) % 1.11/1.32 (define @t453 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t97 @t96)) % 1.11/1.32 (define @t454 () (@var "V_s" $$unsorted)) % 1.11/1.32 (define @t455 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.11/1.32 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t29 @t26)) % 1.11/1.32 (define @t457 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t26)) % 1.11/1.32 (define @t458 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t29)) % 1.11/1.32 (define @t459 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t29 tptp.c_Int_OMin)) % 1.11/1.32 (define @t460 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t29)) % 1.11/1.32 (define @t461 () (tptp.class_Rings_Ocomm__ring__1 @t6)) % 1.11/1.32 (define @t462 () (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t145)) % 1.11/1.32 (define @t463 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t146)) % 1.11/1.32 (define @t464 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t63 @t61)) % 1.11/1.32 (define @t465 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t430)) % 1.11/1.32 (define @t466 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t416)) % 1.11/1.32 (define @t467 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t61)) % 1.11/1.32 (define @t468 () (@var "V_v_2" $$unsorted)) % 1.11/1.32 (define @t469 () (tptp.c_Int_Onumber__class_Onumber__of @t6 @t468)) % 1.11/1.32 (define @t470 () (and @t8 @t357)) % 1.11/1.32 (define @t471 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t161)) % 1.11/1.32 (define @t472 () (tptp.c_Nat_OSuc @t471)) % 1.11/1.32 (define @t473 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t14)) % 1.11/1.32 (define @t474 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t34)) % 1.11/1.32 (define @t475 () (tptp.c_Orderings_Oord__class_Oless @t6 @t20 @t18)) % 1.11/1.32 (define @t476 () (tptp.c_Orderings_Oord__class_Oless @t6 @t4 @t15)) % 1.11/1.32 (define @t477 () (tptp.class_Rings_Olinordered__semidom @t6)) % 1.11/1.32 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t83 @t14)) % 1.11/1.32 (define @t479 () (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t4)) % 1.11/1.32 (define @t480 () (tptp.hAPP @t16 @t215)) % 1.11/1.32 (define @t481 () (tptp.hAPP @t480 @t96)) % 1.11/1.32 (define @t482 () (tptp.hAPP @t480 @t97)) % 1.11/1.32 (define @t483 () (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t215)) % 1.11/1.32 (define @t484 () (@list @t96 @t97 @t215 @t6)) % 1.11/1.32 (define @t485 () (tptp.hAPP @t44 @t72)) % 1.11/1.32 (define @t486 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t123)) % 1.11/1.32 (define @t487 () (tptp.hAPP @t412 @t123)) % 1.11/1.32 (define @t488 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t12)) % 1.11/1.32 (define @t489 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t97 @t96)) % 1.11/1.32 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t97)) % 1.11/1.32 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t96)) % 1.11/1.32 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t97 @t393)) % 1.11/1.32 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t123)) % 1.11/1.32 (define @t494 () (@var "V_one_2" $$unsorted)) % 1.11/1.32 (define @t495 () (@var "V_times_2" $$unsorted)) % 1.11/1.32 (define @t496 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t6 @t494 @t495) @t146)) % 1.11/1.32 (define @t497 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t72)) % 1.11/1.32 (define @t498 () (@var "V_e_2" $$unsorted)) % 1.11/1.32 (define @t499 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t146 @t215)) % 1.11/1.32 (define @t500 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP (tptp.hAPP @t64 @t499) @t498) @t265)) % 1.11/1.32 (define @t501 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t266 @t498) @t268)) % 1.11/1.32 (define @t502 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t269 @t498) @t265)) % 1.11/1.32 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t6 @t502 @t501)) % 1.11/1.32 (define @t504 () (tptp.class_Rings_Oordered__ring @t6)) % 1.11/1.32 (define @t505 () (@list @t268 @t215 @t265 @t498 @t146 @t6)) % 1.11/1.32 (define @t506 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP (tptp.hAPP @t64 (tptp.c_Groups_Ominus__class_Ominus @t6 @t215 @t146)) @t498) @t268)) % 1.11/1.32 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t502 @t501)) % 1.11/1.32 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t4 @t15)) % 1.11/1.32 (define @t509 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t135)) % 1.11/1.32 (define @t510 () (=> @t509 @t508)) % 1.11/1.32 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t319 @t318)) % 1.11/1.32 (define @t512 () (tptp.class_Rings_Olinordered__semiring__strict @t6)) % 1.11/1.32 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t263 @t262)) % 1.11/1.32 (define @t514 () (@list @t15 @t135 @t4 @t6)) % 1.11/1.32 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t135)) % 1.11/1.32 (define @t516 () (=> @t515 @t476)) % 1.11/1.32 (define @t517 () (tptp.c_Orderings_Oord__class_Oless @t6 @t319 @t318)) % 1.11/1.32 (define @t518 () (=> @t517 @t516)) % 1.11/1.32 (define @t519 () (tptp.class_Rings_Olinordered__semiring @t6)) % 1.11/1.32 (define @t520 () (tptp.c_Orderings_Oord__class_Oless @t6 @t263 @t262)) % 1.11/1.32 (define @t521 () (=> @t520 @t516)) % 1.11/1.32 (define @t522 () (tptp.hAPP @t261 @t220)) % 1.11/1.32 (define @t523 () (tptp.c_Orderings_Oord__class_Oless @t6 @t263 @t522)) % 1.11/1.32 (define @t524 () (=> @t515 @t523)) % 1.11/1.32 (define @t525 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t4)) % 1.11/1.32 (define @t526 () (tptp.c_Orderings_Oord__class_Oless @t6 @t135 @t220)) % 1.11/1.32 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t135 @t220)) % 1.11/1.32 (define @t528 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t15)) % 1.11/1.32 (define @t529 () (tptp.hAPP @t64 @t265)) % 1.11/1.32 (define @t530 () (tptp.hAPP @t529 @t215)) % 1.11/1.32 (define @t531 () (tptp.hAPP @t529 @t146)) % 1.11/1.32 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t531 @t530)) % 1.11/1.32 (define @t533 () (tptp.c_Orderings_Oord__class_Oless @t6 @t265 @t145)) % 1.11/1.32 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t215)) % 1.11/1.32 (define @t535 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t265)) % 1.11/1.32 (define @t536 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t12)) % 1.11/1.32 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t32)) % 1.11/1.32 (define @t538 () (tptp.c_Int_OBit1 @t537)) % 1.11/1.32 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t15)) % 1.11/1.32 (define @t540 () (@list @t15 @t14 @t4 @t6)) % 1.11/1.32 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t134)) % 1.11/1.32 (define @t542 () (tptp.c_Orderings_Oord__class_Oless @t6 @t123 @t145)) % 1.11/1.32 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t12 @t145)) % 1.11/1.32 (define @t544 () (tptp.class_Fields_Olinordered__field @t6)) % 1.11/1.32 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t134 @t145)) % 1.11/1.32 (define @t546 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t123)) % 1.11/1.32 (define @t547 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t123 @t52)) % 1.11/1.32 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t52 @t72)) % 1.11/1.32 (define @t549 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t52)) % 1.11/1.32 (define @t550 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t12 @t123)) % 1.11/1.32 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t12)) % 1.11/1.32 (define @t552 () (@list @t72 @t52 @t123 @t12 @t6)) % 1.11/1.32 (define @t553 () (tptp.c_Orderings_Oord__class_Oless @t6 @t293 @t547)) % 1.11/1.32 (define @t554 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t12)) % 1.11/1.32 (define @t555 () (@var "V_N" $$unsorted)) % 1.11/1.32 (define @t556 () (tptp.hAPP @t19 @t555)) % 1.11/1.32 (define @t557 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t555)) % 1.11/1.32 (define @t558 () (@list @t4 @t555 @t14 @t6)) % 1.11/1.32 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t159 @t4)) % 1.11/1.32 (define @t560 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t555)) % 1.11/1.32 (define @t561 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t62)) % 1.11/1.32 (define @t562 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 tptp.c_Int_OPls)) % 1.11/1.32 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t29)) % 1.11/1.32 (define @t564 () (@var "V_k2_2" $$unsorted)) % 1.11/1.32 (define @t565 () (@var "V_k1_2" $$unsorted)) % 1.11/1.32 (define @t566 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t565 @t564)) % 1.11/1.32 (define @t567 () (tptp.c_Int_OBit0 @t564)) % 1.11/1.32 (define @t568 () (tptp.c_Int_OBit1 @t565)) % 1.11/1.32 (define @t569 () (@list @t564 @t565)) % 1.11/1.32 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t565 @t564)) % 1.11/1.32 (define @t571 () (tptp.c_Int_OBit1 @t564)) % 1.11/1.32 (define @t572 () (tptp.c_Int_OBit0 @t565)) % 1.11/1.32 (define @t573 () (@var "V_v_H_2" $$unsorted)) % 1.11/1.32 (define @t574 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t468 @t573)) % 1.11/1.32 (define @t575 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t573)) % 1.11/1.32 (define @t576 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t468)) % 1.11/1.32 (define @t577 () (@list @t573 @t468)) % 1.11/1.32 (define @t578 () (@list @t468)) % 1.11/1.32 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t468 tptp.c_Int_OPls)) % 1.11/1.32 (define @t580 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t4 @t15)) % 1.11/1.32 (define @t581 () (tptp.class_Groups_Oab__group__add @t6)) % 1.11/1.32 (define @t582 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t15)) % 1.11/1.32 (define @t583 () (tptp.hAPP @t75 @t582)) % 1.11/1.32 (define @t584 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t76)) % 1.11/1.32 (define @t585 () (tptp.class_Rings_Oring @t6)) % 1.11/1.32 (define @t586 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t4)) % 1.11/1.32 (define @t587 () (tptp.hAPP @t64 @t586)) % 1.11/1.32 (define @t588 () (tptp.hAPP @t587 @t15)) % 1.11/1.32 (define @t589 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t215)) % 1.11/1.32 (define @t590 () (= @t146 @t589)) % 1.11/1.32 (define @t591 () (tptp.class_Rings_Oidom @t6)) % 1.11/1.32 (define @t592 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t41)) % 1.11/1.32 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t12)) % 1.11/1.32 (define @t594 () (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t586 @t582) @t21)) % 1.11/1.32 (define @t595 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t21)) % 1.11/1.32 (define @t596 () (= @t595 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t582))) % 1.11/1.32 (define @t597 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t34 @t32)) % 1.11/1.32 (define @t598 () (tptp.c_Int_OBit0 @t597)) % 1.11/1.32 (define @t599 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint tptp.c_Int_OMin)) % 1.11/1.32 (define @t600 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t161)) % 1.11/1.32 (define @t601 () (@list @t14 @t83)) % 1.11/1.32 (define @t602 () (= @t83 @t167)) % 1.11/1.32 (define @t603 () (not @t602)) % 1.11/1.32 (define @t604 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t194 @t192)) % 1.11/1.32 (define @t605 () (tptp.hAPP @t199 @t310)) % 1.11/1.32 (define @t606 () (tptp.hAPP @t605 @t83)) % 1.11/1.32 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t305)) % 1.11/1.32 (define @t608 () (@list @t102)) % 1.11/1.32 (define @t609 () (and (= @t212 @t164) (= @t249 @t164))) % 1.11/1.32 (define @t610 () (= (tptp.hAPP (tptp.hAPP @t67 @t212) @t249) @t164)) % 1.11/1.32 (define @t611 () (@list @t249 @t212)) % 1.11/1.32 (define @t612 () (@list @t14 @t440)) % 1.11/1.32 (define @t613 () (tptp.hAPP @t434 @t97)) % 1.11/1.32 (define @t614 () (@list @t97)) % 1.11/1.32 (define @t615 () (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t97 @t96) @t145)) % 1.11/1.32 (define @t616 () (tptp.class_Groups_Ogroup__add @t6)) % 1.11/1.32 (define @t617 () (tptp.hAPP @t64 (tptp.c_Groups_Ominus__class_Ominus @t6 @t12 @t4))) % 1.11/1.32 (define @t618 () (tptp.hAPP @t617 @t15)) % 1.11/1.32 (define @t619 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t123 @t15)) % 1.11/1.32 (define @t620 () (tptp.c_Groups_Ominus__class_Ominus @t6 @t142 @t76)) % 1.11/1.32 (define @t621 () (@list @t15 @t4 @t123 @t12 @t6)) % 1.11/1.32 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t145)) % 1.11/1.32 (define @t623 () (not @t533)) % 1.11/1.32 (define @t624 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t270)) % 1.11/1.32 (define @t625 () (not @t535)) % 1.11/1.32 (define @t626 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t270 @t215)) % 1.11/1.32 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t321)) % 1.11/1.32 (define @t628 () (tptp.class_Fields_Olinordered__field__inverse__zero @t6)) % 1.11/1.32 (define @t629 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t146)) % 1.11/1.32 (define @t630 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t321 @t146)) % 1.11/1.32 (define @t631 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t135 @t15)) % 1.11/1.32 (define @t632 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t135 @t4)) % 1.11/1.32 (define @t633 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t76)) % 1.11/1.32 (define @t634 () (=> @t633 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t632 @t631))) % 1.11/1.32 (define @t635 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t15 @t4)) % 1.11/1.32 (define @t636 () (@list @t135 @t4 @t15 @t6)) % 1.11/1.32 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t135 @t145)) % 1.11/1.32 (define @t638 () (@list @t97 @t6)) % 1.11/1.32 (define @t639 () (@list @t96 @t6)) % 1.11/1.32 (define @t640 () (tptp.c_Orderings_Oord__class_Oless @t6 @t4 @t159)) % 1.11/1.32 (define @t641 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t14)) % 1.11/1.32 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t83)) % 1.11/1.32 (define @t643 () (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP (tptp.hAPP @t64 @t414) @t12) (tptp.hAPP (tptp.hAPP @t64 @t62) @t123))) % 1.11/1.32 (define @t644 () (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t414 @t62) @t159)) % 1.11/1.32 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t62)) % 1.11/1.32 (define @t646 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t414)) % 1.11/1.32 (define @t647 () (@list @t62 @t414 @t123 @t4 @t12 @t6)) % 1.11/1.32 (define @t648 () (tptp.c_Orderings_Oord__class_Oless @t6 @t103 @t145)) % 1.11/1.32 (define @t649 () (not @t648)) % 1.11/1.32 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t377)) % 1.11/1.32 (define @t651 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t103)) % 1.11/1.32 (define @t652 () (not @t651)) % 1.11/1.32 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t377 @t215)) % 1.11/1.32 (define @t654 () (and @t628 @t104)) % 1.11/1.32 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t383)) % 1.11/1.32 (define @t656 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t383 @t215)) % 1.11/1.32 (define @t657 () (tptp.c_Nat_OSuc @t83)) % 1.11/1.32 (define @t658 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t657 @t14)) % 1.11/1.32 (define @t659 () (@list @t83 @t14)) % 1.11/1.32 (define @t660 () (= @t502 @t501)) % 1.11/1.32 (define @t661 () (and @t57 (tptp.class_Rings_Oring @t53))) % 1.11/1.32 (define @t662 () (= @t97 @t159)) % 1.11/1.32 (define @t663 () (@list @t4 @t15 @t6)) % 1.11/1.32 (define @t664 () (tptp.c_Orderings_Oord__class_Oless @t6 @t135 @t145)) % 1.11/1.32 (define @t665 () (tptp.c_Orderings_Oord__class_Oless @t6 @t15 @t4)) % 1.11/1.32 (define @t666 () (=> @t476 (=> @t509 @t517))) % 1.11/1.32 (define @t667 () (tptp.c_Orderings_Oord__class_Oless @t6 @t15 @t145)) % 1.11/1.32 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t6 @t76 @t145)) % 1.11/1.32 (define @t669 () (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t146)) % 1.11/1.32 (define @t670 () (tptp.c_Orderings_Oord__class_Oless @t6 @t531 @t530)) % 1.11/1.32 (define @t671 () (=> @t525 @t528)) % 1.11/1.32 (define @t672 () (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t215)) % 1.11/1.32 (define @t673 () (or (and @t535 @t672) (and @t533 @t669))) % 1.11/1.32 (define @t674 () (@list @t215 @t265 @t146 @t6)) % 1.11/1.32 (define @t675 () (tptp.class_Rings_Olinordered__ring @t6)) % 1.11/1.32 (define @t676 () (tptp.c_Orderings_Oord__class_Oless @t6 @t15 @t225)) % 1.11/1.32 (define @t677 () (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t15 @t135) @t676)) % 1.11/1.32 (define @t678 () (= (tptp.c_Orderings_Oord__class_Oless @t6 @t203 @t145) @t462)) % 1.11/1.32 (define @t679 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t76 @t145)) % 1.11/1.32 (define @t680 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t4 @t145)) % 1.11/1.32 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t15 @t145)) % 1.11/1.32 (define @t682 () (tptp.class_Rings_Oordered__cancel__semiring @t6)) % 1.11/1.32 (define @t683 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t76)) % 1.11/1.32 (define @t684 () (=> @t515 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t263 @t522))) % 1.11/1.32 (define @t685 () (tptp.class_Rings_Oordered__semiring @t6)) % 1.11/1.32 (define @t686 () (=> @t508 (=> @t515 @t511))) % 1.11/1.32 (define @t687 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t215)) % 1.11/1.32 (define @t688 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t145)) % 1.11/1.32 (define @t689 () (or (and @t629 @t688) (and @t622 @t687))) % 1.11/1.32 (define @t690 () (or (and @t629 @t687) (and @t622 @t688))) % 1.11/1.32 (define @t691 () (tptp.hAPP @t64 @t83)) % 1.11/1.32 (define @t692 () (tptp.c_Orderings_Oord__class_Oless @t6 @t275 @t136)) % 1.11/1.32 (define @t693 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t134)) % 1.11/1.32 (define @t694 () (tptp.c_Orderings_Oord__class_Oless @t6 @t12 @t145)) % 1.11/1.32 (define @t695 () (tptp.c_Orderings_Oord__class_Oless @t6 @t134 @t145)) % 1.11/1.32 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t215)) % 1.11/1.32 (define @t697 () (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t145)) % 1.11/1.32 (define @t698 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t146)) % 1.11/1.32 (define @t699 () (= @t212 @t249)) % 1.11/1.32 (define @t700 () (tptp.hAPP @t2 @t146)) % 1.11/1.32 (define @t701 () (tptp.hAPP @t2 @t215)) % 1.11/1.32 (define @t702 () (tptp.hAPP @t44 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t701 @t700) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t215 @t146)))) % 1.11/1.32 (define @t703 () (@var "V_v_H" $$unsorted)) % 1.11/1.32 (define @t704 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t703)) % 1.11/1.32 (define @t705 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t561 @t704)) % 1.11/1.32 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t703 tptp.c_Int_OPls)) % 1.11/1.32 (define @t707 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t62 tptp.c_Int_OPls)) % 1.11/1.32 (define @t708 () (not @t707)) % 1.11/1.32 (define @t709 () (@list @t703 @t62)) % 1.11/1.32 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t123)) % 1.11/1.32 (define @t711 () (@var "V_h" $$unsorted)) % 1.11/1.32 (define @t712 () (tptp.hAPP @t16 @t586)) % 1.11/1.32 (define @t713 () (or (not @t243) @t316)) % 1.11/1.32 (define @t714 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t122 (tptp.hAPP @t132 @t123))) % 1.11/1.32 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t123 @t159)) % 1.11/1.32 (define @t716 () (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t270)) % 1.11/1.32 (define @t717 () (tptp.c_Orderings_Oord__class_Oless @t6 @t270 @t215)) % 1.11/1.32 (define @t718 () (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t321)) % 1.11/1.32 (define @t719 () (tptp.c_Orderings_Oord__class_Oless @t6 @t321 @t146)) % 1.11/1.32 (define @t720 () (=> @t633 (tptp.c_Orderings_Oord__class_Oless @t6 @t632 @t631))) % 1.11/1.32 (define @t721 () (tptp.c_Rings_Oinverse__class_Odivide @t6 @t227 @t177)) % 1.11/1.32 (define @t722 () (tptp.hAPP @t17 @t162)) % 1.11/1.32 (define @t723 () (tptp.c_Nat_OSuc @t249)) % 1.11/1.32 (define @t724 () (tptp.hAPP @t44 @t192)) % 1.11/1.32 (define @t725 () (tptp.hAPP @t44 @t194)) % 1.11/1.32 (define @t726 () (not (= @t265 @t393))) % 1.11/1.32 (define @t727 () (@list @t215 @t146 @t265)) % 1.11/1.32 (define @t728 () (tptp.hAPP @t44 @t265)) % 1.11/1.32 (define @t729 () (tptp.hAPP @t47 @t43)) % 1.11/1.32 (define @t730 () (tptp.c_Orderings_Oord__class_Oless @t6 @t377 @t215)) % 1.11/1.32 (define @t731 () (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t377)) % 1.11/1.32 (define @t732 () (tptp.c_Orderings_Oord__class_Oless @t6 @t383 @t215)) % 1.11/1.32 (define @t733 () (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t383)) % 1.11/1.32 (define @t734 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.hAPP @t68 @t703))) % 1.11/1.32 (define @t735 () (tptp.hAPP @t85 @t561)) % 1.11/1.32 (define @t736 () (tptp.hAPP @t735 @t704)) % 1.11/1.32 (define @t737 () (tptp.hAPP @t735 (tptp.hAPP (tptp.hAPP @t85 @t704) @t34))) % 1.11/1.32 (define @t738 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t157 @t43)) % 1.11/1.32 (define @t739 () (and @t628 @t8)) % 1.11/1.32 (define @t740 () (@var "V_r_2" $$unsorted)) % 1.11/1.32 (define @t741 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t4) @t43)) % 1.11/1.32 (define @t742 () (@list @t15 @t4)) % 1.11/1.32 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t613 (tptp.hAPP @t432 @t96))) % 1.11/1.32 (define @t744 () (tptp.hAPP @t16 @t83)) % 1.11/1.32 (define @t745 () (tptp.hAPP @t744 @t14)) % 1.11/1.32 (define @t746 () (tptp.c_NthRoot_Osqrt @t743)) % 1.11/1.32 (define @t747 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t91)) % 1.11/1.32 (define @t748 () (= @t4 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t91 (tptp.hAPP (tptp.hAPP @t67 @t4) @t139)))) % 1.11/1.32 (define @t749 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t4)) % 1.11/1.32 (define @t750 () (@list @t139 @t91 @t4)) % 1.11/1.32 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t162)) % 1.11/1.32 (define @t752 () (tptp.c_NthRoot_Osqrt @t96)) % 1.11/1.32 (define @t753 () (@list @t96)) % 1.11/1.32 (define @t754 () (tptp.c_NthRoot_Osqrt @t97)) % 1.11/1.32 (define @t755 () (tptp.c_NthRoot_Osqrt @t12)) % 1.11/1.32 (define @t756 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t212)) % 1.11/1.32 (define @t757 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t212 @t249)) % 1.11/1.32 (define @t758 () (not @t699)) % 1.11/1.32 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t52 @t72)) % 1.11/1.32 (define @t760 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72 @t52)) % 1.11/1.32 (define @t761 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t212 @t249)) % 1.11/1.32 (define @t762 () (or @t757 @t699)) % 1.11/1.32 (define @t763 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t443)) % 1.11/1.32 (define @t764 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t763 @t34)) % 1.11/1.32 (define @t765 () (= @t83 @t14)) % 1.11/1.32 (define @t766 () (not @t765)) % 1.11/1.32 (define @t767 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t83)) % 1.11/1.32 (define @t768 () (@var "V_t" $$unsorted)) % 1.11/1.32 (define @t769 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t443 @t34)) % 1.11/1.32 (define @t770 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t83)) % 1.11/1.32 (define @t771 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t14)) % 1.11/1.32 (define @t772 () (@list @t32 @t14 @t83)) % 1.11/1.32 (define @t773 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t443)) % 1.11/1.32 (define @t774 () (= @t72 @t52)) % 1.11/1.32 (define @t775 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t249 @t29)) % 1.11/1.32 (define @t776 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t212 @t29)) % 1.11/1.32 (define @t777 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t249)) % 1.11/1.32 (define @t778 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t212)) % 1.11/1.32 (define @t779 () (@list @t249 @t212 @t29)) % 1.11/1.32 (define @t780 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t34 @t14)) % 1.11/1.32 (define @t781 () (@list @t14 @t83 @t34)) % 1.11/1.32 (define @t782 () (@var "V_P_2" $$unsorted)) % 1.11/1.32 (define @t783 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t782 @t249) @t212))) % 1.11/1.32 (define @t784 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t52 @t72)) % 1.11/1.32 (define @t785 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t72 @t52)) % 1.11/1.32 (define @t786 () (tptp.c_NthRoot_Osqrt @t123)) % 1.11/1.32 (define @t787 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t12)) % 1.11/1.32 (define @t788 () (= @t12 @t393)) % 1.11/1.32 (define @t789 () (= @t755 @t393)) % 1.11/1.32 (define @t790 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t12)) % 1.11/1.32 (define @t791 () (tptp.hAPP @t47 @t755)) % 1.11/1.32 (define @t792 () (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t413 (tptp.hAPP (tptp.hAPP @t44 @t123) @t123)))) % 1.11/1.32 (define @t793 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t249)) % 1.11/1.32 (define @t794 () (@list @t249)) % 1.11/1.32 (define @t795 () (@list @t212 @t249)) % 1.11/1.32 (define @t796 () (@list @t83)) % 1.11/1.32 (define @t797 () (= @t641 @t167)) % 1.11/1.32 (define @t798 () (@var "V_nat_H_2" $$unsorted)) % 1.11/1.32 (define @t799 () (@var "V_nat_2" $$unsorted)) % 1.11/1.32 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t657 @t14)) % 1.11/1.32 (define @t801 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t83 @t162)) % 1.11/1.32 (define @t802 () (tptp.c_Nat_OSuc @t212)) % 1.11/1.32 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t723 @t212)) % 1.11/1.32 (define @t804 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t14)) % 1.11/1.32 (define @t805 () (not @t439)) % 1.11/1.32 (define @t806 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t83 @t162)) % 1.11/1.32 (define @t807 () (tptp.c_Nat_OSuc @t440)) % 1.11/1.32 (define @t808 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t443)) % 1.11/1.32 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t802)) % 1.11/1.32 (define @t810 () (= @t809 (= @t249 @t212))) % 1.11/1.32 (define @t811 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t212 @t723)) % 1.11/1.32 (define @t812 () (@list @t34 @t14 @t83)) % 1.11/1.32 (define @t813 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t443)) % 1.11/1.32 (define @t814 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t440)) % 1.11/1.32 (define @t815 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t83)) % 1.11/1.32 (define @t816 () (@var "B_n" $$unsorted)) % 1.11/1.32 (define @t817 () (@var "B_k" $$unsorted)) % 1.11/1.32 (define @t818 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t212 @t817)) % 1.11/1.32 (define @t819 () (@list @t817)) % 1.11/1.32 (define @t820 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t34)) % 1.11/1.32 (define @t821 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t34)) % 1.11/1.32 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t34 @t443)) % 1.11/1.32 (define @t823 () (@list @t440 @t443 @t34)) % 1.11/1.32 (define @t824 () (@var "V_j_2" $$unsorted)) % 1.11/1.32 (define @t825 () (@var "V_i_2" $$unsorted)) % 1.11/1.32 (define @t826 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t825 @t29)) % 1.11/1.32 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t824 @t29)) % 1.11/1.32 (define @t828 () (@list @t29 @t824 @t825)) % 1.11/1.32 (define @t829 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t34)) % 1.11/1.32 (define @t830 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t34)) % 1.11/1.32 (define @t831 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t249)) % 1.11/1.32 (define @t832 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t212)) % 1.11/1.32 (define @t833 () (@list @t249 @t29 @t212)) % 1.11/1.32 (define @t834 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t34 @t14)) % 1.11/1.32 (define @t835 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t34 @t83)) % 1.11/1.32 (define @t836 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t34)) % 1.11/1.32 (define @t837 () (@list @t14 @t34 @t83)) % 1.11/1.32 (define @t838 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t641) @t83)) % 1.11/1.32 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t83)) % 1.11/1.32 (define @t840 () (@list @t83 @t443 @t440)) % 1.11/1.32 (define @t841 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t443)) % 1.11/1.32 (define @t842 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t813 @t34)) % 1.11/1.32 (define @t843 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t821)) % 1.11/1.32 (define @t844 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t824 @t825)) % 1.11/1.32 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t825 @t824)) % 1.11/1.32 (define @t846 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t814 @t34)) % 1.11/1.32 (define @t847 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t821 @t440)) % 1.11/1.32 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t443 @t32)) % 1.11/1.32 (define @t849 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t32)) % 1.11/1.32 (define @t850 () (@list @t32 @t34 @t443 @t440)) % 1.11/1.32 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t34 @t32)) % 1.11/1.32 (define @t852 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t836 @t14)) % 1.11/1.32 (define @t853 () (tptp.hAPP @t85 @t14)) % 1.11/1.32 (define @t854 () (tptp.hAPP @t853 @t83)) % 1.11/1.32 (define @t855 () (tptp.hAPP @t853 @t34)) % 1.11/1.32 (define @t856 () (tptp.hAPP @t86 @t83)) % 1.11/1.32 (define @t857 () (tptp.hAPP @t85 @t443)) % 1.11/1.32 (define @t858 () (tptp.hAPP @t857 @t34)) % 1.11/1.32 (define @t859 () (tptp.hAPP @t85 @t440)) % 1.11/1.32 (define @t860 () (tptp.hAPP @t859 @t34)) % 1.11/1.32 (define @t861 () (tptp.hAPP @t85 @t34)) % 1.11/1.32 (define @t862 () (tptp.hAPP @t861 @t443)) % 1.11/1.32 (define @t863 () (tptp.hAPP @t861 @t440)) % 1.11/1.32 (define @t864 () (tptp.hAPP @t861 @t14)) % 1.11/1.32 (define @t865 () (tptp.hAPP @t861 @t83)) % 1.11/1.32 (define @t866 () (tptp.hAPP @t86 @t34)) % 1.11/1.32 (define @t867 () (tptp.c_NthRoot_Osqrt @t43)) % 1.11/1.32 (define @t868 () (tptp.hAPP @t791 @t42)) % 1.11/1.32 (define @t869 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t123)) % 1.11/1.32 (define @t870 () (@list @t12 @t123)) % 1.11/1.32 (define @t871 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t414)) % 1.11/1.32 (define @t872 () (tptp.c_NthRoot_Osqrt @t156)) % 1.11/1.32 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t220)) % 1.11/1.32 (define @t874 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t4 @t135)) % 1.11/1.32 (define @t875 () (@var "V_ya" $$unsorted)) % 1.11/1.32 (define @t876 () (@var "V_xa" $$unsorted)) % 1.11/1.32 (define @t877 () (tptp.hAPP (tptp.hAPP @t44 @t156) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t47 @t876) @t42) (tptp.hAPP (tptp.hAPP @t47 @t875) @t42)))) % 1.11/1.32 (define @t878 () (tptp.c_NthRoot_Osqrt @t877)) % 1.11/1.32 (define @t879 () (@list @t875 @t876 @t123 @t12)) % 1.11/1.32 (define @t880 () (@var "V_nat_H_1" $$unsorted)) % 1.11/1.32 (define @t881 () (@var "V_nat_H" $$unsorted)) % 1.11/1.32 (define @t882 () (@var "B_j" $$unsorted)) % 1.11/1.32 (define @t883 () (@var "B_m" $$unsorted)) % 1.11/1.32 (define @t884 () (@var "B_d" $$unsorted)) % 1.11/1.32 (define @t885 () (tptp.hBOOL (tptp.hAPP @t782 @t884))) % 1.11/1.32 (define @t886 () (= @t146 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t884))) % 1.11/1.32 (define @t887 () (@list @t884)) % 1.11/1.32 (define @t888 () (tptp.hBOOL (tptp.hAPP @t782 @t167))) % 1.11/1.32 (define @t889 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t146 @t215)) % 1.11/1.32 (define @t890 () (tptp.hBOOL (tptp.hAPP @t782 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t146 @t215)))) % 1.11/1.32 (define @t891 () (@list @t215 @t146 @t782)) % 1.11/1.32 (define @t892 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t212)) % 1.11/1.32 (define @t893 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t212 @t249)) % 1.11/1.32 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t162)) % 1.11/1.32 (define @t895 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t657 @t14)) % 1.11/1.32 (define @t896 () (tptp.c_Nat_OSuc @t351)) % 1.11/1.32 (define @t897 () (@list @t83 @t440)) % 1.11/1.32 (define @t898 () (tptp.c_Nat_OSuc @t443)) % 1.11/1.32 (define @t899 () (tptp.c_Nat_OSuc @t821)) % 1.11/1.32 (define @t900 () (@list @t83 @t443 @t34)) % 1.11/1.32 (define @t901 () (tptp.hAPP @t85 @t212)) % 1.11/1.32 (define @t902 () (tptp.hAPP @t901 @t249)) % 1.11/1.32 (define @t903 () (= @t29 @t167)) % 1.11/1.32 (define @t904 () (or @t699 @t903)) % 1.11/1.32 (define @t905 () (tptp.hAPP @t85 @t29)) % 1.11/1.32 (define @t906 () (tptp.hAPP @t905 @t249)) % 1.11/1.32 (define @t907 () (tptp.hAPP @t905 @t212)) % 1.11/1.32 (define @t908 () (= @t907 @t906)) % 1.11/1.32 (define @t909 () (tptp.hAPP (tptp.hAPP @t85 @t249) @t29)) % 1.11/1.32 (define @t910 () (tptp.hAPP @t901 @t29)) % 1.11/1.32 (define @t911 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t29)) % 1.11/1.32 (define @t912 () (and @t911 @t757)) % 1.11/1.32 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t907 @t906)) % 1.11/1.32 (define @t914 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t34)) % 1.11/1.32 (define @t915 () (=> @t911 @t761)) % 1.11/1.32 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t907 @t906)) % 1.11/1.32 (define @t917 () (tptp.hAPP @t85 (tptp.c_Nat_OSuc @t29))) % 1.11/1.32 (define @t918 () (tptp.hAPP @t917 @t249)) % 1.11/1.32 (define @t919 () (tptp.hAPP @t917 @t212)) % 1.11/1.32 (define @t920 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t123)) % 1.11/1.32 (define @t921 () (and (= @t212 @t161) (= @t249 @t161))) % 1.11/1.32 (define @t922 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t414 @t43)) % 1.11/1.32 (define @t923 () (= @t249 @t198)) % 1.11/1.32 (define @t924 () (= @t212 @t198)) % 1.11/1.32 (define @t925 () (or (and @t924 @t250) (and @t213 @t923))) % 1.11/1.32 (define @t926 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t83)) % 1.11/1.32 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t14)) % 1.11/1.32 (define @t928 () (@var "V_q_H" $$unsorted)) % 1.11/1.32 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t928 @t139)) % 1.11/1.32 (define @t930 () (@var "V_b_H" $$unsorted)) % 1.11/1.32 (define @t931 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t930 @t15)) % 1.11/1.32 (define @t932 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t930)) % 1.11/1.32 (define @t933 () (@var "V_r_H" $$unsorted)) % 1.11/1.32 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t933)) % 1.11/1.32 (define @t935 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t91 @t15)) % 1.11/1.32 (define @t936 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t67 @t930) @t928) @t933)) % 1.11/1.32 (define @t937 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t936 @t305)) % 1.11/1.32 (define @t938 () (tptp.hAPP @t67 @t15)) % 1.11/1.32 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t938 @t139) @t91)) % 1.11/1.32 (define @t940 () (= @t939 @t936)) % 1.11/1.32 (define @t941 () (@list @t933 @t928 @t930 @t91 @t139 @t15)) % 1.11/1.32 (define @t942 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t139 @t928)) % 1.11/1.32 (define @t943 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t938 @t928) @t933) @t939)) % 1.11/1.32 (define @t944 () (@list @t91 @t139 @t933 @t928 @t15)) % 1.11/1.32 (define @t945 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t933 @t930)) % 1.11/1.32 (define @t946 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t936)) % 1.11/1.32 (define @t947 () (@list @t933 @t928 @t930)) % 1.11/1.32 (define @t948 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.11/1.32 (define @t949 () (@var "V_u_2" $$unsorted)) % 1.11/1.32 (define @t950 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t825 @t824)) @t949) @t212)) % 1.11/1.32 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 @t824) @t949) @t249)) % 1.11/1.32 (define @t952 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 @t825) @t949) @t212)) % 1.11/1.32 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t952 @t951)) % 1.11/1.32 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t824 @t825)) % 1.11/1.32 (define @t955 () (@list @t249 @t212 @t949 @t825 @t824)) % 1.11/1.32 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 @t844) @t949) @t249)) % 1.11/1.32 (define @t957 () (@list @t249 @t212 @t949 @t824 @t825)) % 1.11/1.32 (define @t958 () (tptp.hAPP @t857 @t414)) % 1.11/1.32 (define @t959 () (tptp.hAPP @t859 @t414)) % 1.11/1.32 (define @t960 () (= @t952 @t951)) % 1.11/1.32 (define @t961 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t959 @t83) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t958 @t14))) % 1.11/1.32 (define @t962 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t952 @t951)) % 1.11/1.32 (define @t963 () (= @t215 @t393)) % 1.11/1.32 (define @t964 () (tptp.c_Complex_Ocomplex_OComplex @t146 @t215)) % 1.11/1.32 (define @t965 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.11/1.32 (define @t966 () (@list @t215 @t146)) % 1.11/1.32 (define @t967 () (@var "V_real2_H_2" $$unsorted)) % 1.11/1.32 (define @t968 () (@var "V_real2_2" $$unsorted)) % 1.11/1.32 (define @t969 () (@var "V_real1_H_2" $$unsorted)) % 1.11/1.32 (define @t970 () (@var "V_real1_2" $$unsorted)) % 1.11/1.32 (define @t971 () (tptp.c_Complex_Ocomplex_OComplex @t135 @t220)) % 1.11/1.32 (define @t972 () (tptp.c_Complex_Ocomplex_OComplex @t4 @t15)) % 1.11/1.32 (define @t973 () (@list @t220 @t135 @t15 @t4)) % 1.11/1.32 (define @t974 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.11/1.32 (define @t975 () (tptp.hAPP @t44 @t15)) % 1.11/1.32 (define @t976 () (tptp.hAPP @t44 @t4)) % 1.11/1.32 (define @t977 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.11/1.32 (define @t978 () (@var "B_y" $$unsorted)) % 1.11/1.32 (define @t979 () (@var "V_real2" $$unsorted)) % 1.11/1.32 (define @t980 () (@var "V_real1" $$unsorted)) % 1.11/1.32 (define @t981 () (tptp.c_Transcendental_Oarctan @t12)) % 1.11/1.32 (define @t982 () (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t227)) % 1.11/1.32 (define @t983 () (tptp.class_Groups_Oordered__comm__monoid__add @t6)) % 1.11/1.32 (define @t984 () (tptp.c_Transcendental_Oarctan @t123)) % 1.11/1.32 (define @t985 () (= @t15 @t135)) % 1.11/1.32 (define @t986 () (tptp.class_Groups_Ocancel__semigroup__add @t6)) % 1.11/1.32 (define @t987 () (=> (= @t227 @t225) @t985)) % 1.11/1.32 (define @t988 () (= @t215 @t265)) % 1.11/1.32 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t265 @t146)) % 1.11/1.32 (define @t990 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t146 @t265)) % 1.11/1.32 (define @t991 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t146 @t215)) % 1.11/1.32 (define @t992 () (= @t499 (tptp.c_Groups_Ominus__class_Ominus @t6 @t265 @t268))) % 1.11/1.32 (define @t993 () (tptp.class_Groups_Ocomm__monoid__add @t6)) % 1.11/1.32 (define @t994 () (tptp.class_Groups_Omonoid__add @t6)) % 1.11/1.32 (define @t995 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t135 @t15)) % 1.11/1.32 (define @t996 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t235 @t995)) % 1.11/1.32 (define @t997 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t6)) % 1.11/1.32 (define @t998 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t225 @t230)) % 1.11/1.32 (define @t999 () (tptp.class_Groups_Oordered__ab__semigroup__add @t6)) % 1.11/1.32 (define @t1000 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t265 @t215)) % 1.11/1.32 (define @t1001 () (tptp.c_Groups_Oplus__class_Oplus @t6 @t215 @t265)) % 1.11/1.32 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless @t6 @t235 @t995)) % 1.11/1.32 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless @t6 @t225 @t230)) % 1.11/1.32 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless @t6 @t225 @t224)) % 1.11/1.32 (define @t1005 () (=> @t526 @t1004)) % 1.11/1.33 (define @t1006 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t6)) % 1.11/1.33 (define @t1007 () (= @t499 @t145)) % 1.11/1.33 (define @t1008 () (tptp.class_Groups_Oordered__ab__group__add @t6)) % 1.11/1.33 (define @t1009 () (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t227)) % 1.11/1.33 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t15 @t225)) % 1.11/1.33 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t15 @t135)) % 1.11/1.33 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless @t6 @t227 @t145)) % 1.11/1.33 (define @t1013 () (=> @t667 @t1012)) % 1.11/1.33 (define @t1014 () (=> @t528 @t982)) % 1.11/1.33 (define @t1015 () (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t586 @t4) @t145)) % 1.11/1.33 (define @t1016 () (= @t580 (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t582))) % 1.11/1.33 (define @t1017 () (tptp.hAPP @t977 tptp.c_Complex_Oii)) % 1.11/1.33 (define @t1018 () (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.11/1.33 (define @t1019 () (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.11/1.33 (define @t1020 () (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (define @t1021 () (tptp.class_Int_Onumber tptp.tc_RealDef_Oreal)) % 1.11/1.33 (define @t1022 () (tptp.hAPP (tptp.hAPP @t47 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal tptp.v_x @t43)) @t42)) % 1.11/1.33 (define @t1023 () (tptp.hAPP (tptp.hAPP @t47 tptp.v_x) @t42)) % 1.11/1.33 (define @t1024 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t1023 @t50)) % 1.11/1.33 (define @t1025 () (= @t1024 @t1022)) % 1.11/1.33 (define @t1026 () (tptp.hAPP @t729 @t42)) % 1.11/1.33 (define @t1027 () (= @t1022 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t1023 @t1026))) % 1.11/1.33 (define @t1028 () (not @t1018)) % 1.11/1.33 (define @t1029 () (or @t1028 @t1027)) % 1.11/1.33 (define @t1030 () (@list false false)) % 1.11/1.33 (define @t1031 () (not @t57)) % 1.11/1.33 (define @t1032 () (not @t58)) % 1.11/1.33 (define @t1033 () (@list @t41 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (define @t1034 () (= @t1026 (tptp.hAPP @t45 @t43))) % 1.11/1.33 (define @t1035 () (not @t1021)) % 1.11/1.33 (define @t1036 () (not @t1019)) % 1.11/1.33 (define @t1037 () (or @t1036 @t1035 @t1034)) % 1.11/1.33 (define @t1038 () (= @t303 @t332)) % 1.11/1.33 (define @t1039 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t455 @t455)) % 1.11/1.33 (define @t1040 () (tptp.hAPP @t44 @t1039)) % 1.11/1.33 (define @t1041 () (tptp.hAPP @t1040 @t43)) % 1.11/1.33 (define @t1042 () (= @t50 @t1041)) % 1.11/1.33 (define @t1043 () (not @t1020)) % 1.11/1.33 (define @t1044 () (or @t1043 @t1042)) % 1.11/1.33 (define @t1045 () (= @t124 @t177)) % 1.11/1.33 (define @t1046 () (= @t43 @t1039)) % 1.11/1.33 (define @t1047 () (or @t1043 @t1046)) % 1.11/1.33 (define @t1048 () (and @t1027 @t1034 @t1042 @t1046)) % 1.11/1.33 (assume @p1 (forall (@list @t1 @t2) (=> (forall (@list @t3) (= (tptp.hAPP @t2 @t3) (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.11/1.33 (assume @p2 (forall @t11 (=> @t10 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t7) @t4)))) % 1.11/1.33 (assume @p3 (forall @t13 (=> @t10 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t12 @t7) @t12)))) % 1.11/1.33 (assume @p4 @t25) % 1.11/1.33 (assume @p5 (= (tptp.c_Int_OBit0 tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.11/1.33 (assume @p6 (forall @t28 (= (= tptp.c_Int_OPls @t27) (= tptp.c_Int_OPls @t26)))) % 1.11/1.33 (assume @p7 (forall @t31 (= (= @t30 tptp.c_Int_OPls) (= @t29 tptp.c_Int_OPls)))) % 1.11/1.33 (assume @p8 (forall @t36 (not (= @t35 @t33)))) % 1.11/1.33 (assume @p9 (forall @t36 (not (= @t38 @t37)))) % 1.11/1.33 (assume @p10 (forall @t39 (not (= tptp.c_Int_OPls @t33)))) % 1.11/1.33 (assume @p11 (forall @t40 (not (= @t38 tptp.c_Int_OPls)))) % 1.11/1.33 (assume @p12 (forall @t51 (= (tptp.hAPP (tptp.hAPP @t44 @t50) @t49) (tptp.hAPP (tptp.hAPP @t47 @t46) @t42)))) % 1.11/1.33 (assume @p13 @t60) % 1.11/1.33 (assume @p14 (forall @t71 (=> @t8 (= @t70 @t66)))) % 1.11/1.33 (assume @p15 (forall @t71 (=> @t8 (= @t66 @t70)))) % 1.11/1.33 (assume @p16 (forall @t73 (=> @t8 (= (tptp.hAPP @t65 (tptp.hAPP (tptp.hAPP @t64 @t61) @t72)) (tptp.hAPP (tptp.hAPP @t64 @t70) @t72))))) % 1.11/1.33 (assume @p17 (forall @t24 (=> @t77 (= (tptp.hAPP (tptp.hAPP @t16 @t76) @t14) (tptp.hAPP @t74 @t18))))) % 1.11/1.33 (assume @p18 (forall @t81 (=> @t80 (= @t79 @t78)))) % 1.11/1.33 (assume @p19 (forall @t82 (= (tptp.hAPP (tptp.hAPP @t67 tptp.c_Int_OPls) @t52) tptp.c_Int_OPls))) % 1.11/1.33 (assume @p20 (forall @t88 (=> @t80 (= (tptp.hAPP @t19 @t87) (tptp.hAPP (tptp.hAPP @t16 @t84) @t14))))) % 1.11/1.33 (assume @p21 (forall @t36 (= (tptp.hAPP (tptp.hAPP @t67 @t35) @t32) @t90))) % 1.11/1.33 (assume @p22 (forall (@list @t4 @t91) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t92 @t4) (tptp.hAPP @t92 @t91)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t4 @t91)))) % 1.11/1.33 (assume @p23 (forall @t11 (=> @t8 (= (tptp.hAPP (tptp.hAPP @t64 @t7) @t4) @t4)))) % 1.11/1.33 (assume @p24 (forall @t11 (=> @t8 (= (tptp.hAPP @t75 @t7) @t4)))) % 1.11/1.33 (assume @p25 (forall @t11 (=> @t80 (= (tptp.hAPP @t19 @t95) (tptp.hAPP (tptp.hAPP @t64 @t93) @t4))))) % 1.11/1.33 (assume @p26 (forall @t101 (=> (and @t8 (tptp.class_Int_Oring__char__0 @t6)) (= (= @t100 @t99) @t98)))) % 1.11/1.33 (assume @p27 (forall (@list @t97 @t102 @t6) (=> @t104 (= (= @t103 @t97) (= @t97 @t103))))) % 1.11/1.33 (assume @p28 (forall @t108 (= (= @t107 @t106) @t105))) % 1.11/1.33 (assume @p29 (forall @t108 (= (= @t30 @t27) @t105))) % 1.11/1.33 (assume @p30 (forall @t11 (=> @t80 (= @t109 @t93)))) % 1.11/1.33 (assume @p31 (forall @t81 (=> @t80 (= @t113 @t110)))) % 1.11/1.33 (assume @p32 (forall (@list @t114 @t96 @t97) (= (= @t97 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t96 (tptp.hAPP @t45 @t114))) (= (tptp.hAPP @t45 @t97) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t96 @t114))))) % 1.11/1.33 (assume @p33 (forall @t119 (=> @t118 (= (tptp.hAPP @t115 @t112) @t117)))) % 1.11/1.33 (assume @p34 (forall @t13 (=> @t118 (= @t122 @t120)))) % 1.11/1.33 (assume @p35 (forall @t131 (=> @t8 (= (tptp.hAPP (tptp.hAPP @t16 @t130) @t42) (tptp.c_Groups_Oplus__class_Oplus @t6 @t129 @t126))))) % 1.11/1.33 (assume @p36 (forall (@list @t52 @t72 @t123 @t12 @t6) (=> @t23 (= (tptp.hAPP (tptp.hAPP @t64 @t134) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t72 @t52)) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t133 (tptp.hAPP @t132 @t52)))))) % 1.11/1.33 (assume @p37 (forall @t138 (=> @t137 (= (tptp.hAPP @t75 @t136) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t76 @t135))))) % 1.11/1.33 (assume @p38 (forall (@list @t139 @t123 @t12 @t6) (=> @t118 (= (tptp.hAPP (tptp.hAPP @t16 @t142) @t139) (tptp.hAPP @t141 (tptp.hAPP @t127 @t139)))))) % 1.11/1.33 (assume @p39 (forall @t81 (=> @t80 (= @t144 (tptp.hAPP @t75 @t110))))) % 1.11/1.33 (assume @p40 (forall @t151 (=> @t150 (= (= @t149 @t145) @t147)))) % 1.11/1.33 (assume @p41 (forall @t154 (=> @t153 (= (tptp.hAPP @t152 @t42) @t145)))) % 1.11/1.33 (assume @p42 (forall @t158 (= (tptp.hAPP (tptp.hAPP @t47 @t157) @t42) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t156 (tptp.hAPP (tptp.hAPP @t44 @t46) @t123))))) % 1.11/1.33 (assume @p43 (forall @t154 (=> @t153 (= (tptp.hAPP @t160 @t42) @t159)))) % 1.11/1.33 (assume @p44 (forall @t163 (= @t162 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t14)))) % 1.11/1.33 (assume @p45 (forall @t163 (= @t162 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t161)))) % 1.11/1.33 (assume @p46 (forall @t165 (= (tptp.hAPP (tptp.hAPP @t67 @t164) @t72) @t72))) % 1.11/1.33 (assume @p47 (forall @t172 (=> @t171 (and (=> @t168 (= @t166 @t159)) (=> @t169 (= @t166 @t145)))))) % 1.11/1.33 (assume @p48 (forall @t13 (=> @t118 (= (tptp.hAPP @t115 @t167) @t159)))) % 1.11/1.33 (assume @p49 (forall @t165 (= (tptp.hAPP @t173 @t164) @t72))) % 1.11/1.33 (assume @p50 (forall @t176 (= @t175 (tptp.hAPP @t174 @t72)))) % 1.11/1.33 (assume @p51 (forall (@list @t83 @t6) (=> @t118 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t83 @t83) (tptp.hAPP @t178 @t83))))) % 1.11/1.33 (assume @p52 (forall @t11 (=> @t183 (and (=> @t180 (= @t179 @t145)) @t182)))) % 1.11/1.33 (assume @p53 (forall (@list @t4 @t83 @t6) (=> @t118 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t83 @t186) @t185)))) % 1.11/1.33 (assume @p54 (forall @t191 (= (tptp.hAPP @t188 @t190) (tptp.hAPP (tptp.hAPP @t67 @t189) (tptp.hAPP @t188 @t72))))) % 1.11/1.33 (assume @p55 (forall @t197 (= (tptp.hAPP @t174 @t196) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t195 @t193)))) % 1.11/1.33 (assume @p56 (forall @t163 (= (tptp.hAPP (tptp.hAPP @t199 @t198) @t14) @t198))) % 1.11/1.33 (assume @p57 (forall @t202 (= (tptp.hAPP (tptp.hAPP @t67 @t201) @t200) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t69)))) % 1.11/1.33 (assume @p58 (forall @t151 (=> @t204 (= (= @t203 @t145) @t147)))) % 1.11/1.33 (assume @p59 (forall @t191 (= (tptp.hAPP (tptp.hAPP @t187 @t189) @t72) (tptp.hAPP @t188 (tptp.hAPP (tptp.hAPP @t85 @t123) @t72))))) % 1.11/1.33 (assume @p60 (forall @t208 (= (tptp.hAPP (tptp.hAPP @t67 (tptp.hAPP @t207 @t192)) @t205) (tptp.hAPP @t207 (tptp.hAPP @t206 @t205))))) % 1.11/1.33 (assume @p61 (forall (@list @t83 @t4 @t6) (=> @t118 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t186 @t83) @t185)))) % 1.11/1.33 (assume @p62 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t67 @t196) @t52) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t210 @t209)))) % 1.11/1.33 (assume @p63 (forall (@list @t212 @t97) (= (= (tptp.hAPP @t214 @t212) @t198) (or @t213 (= @t97 @t198))))) % 1.11/1.33 (assume @p64 (forall @t11 (=> @t137 @t182))) % 1.11/1.33 (assume @p65 (forall @t219 (=> @t137 (=> (not @t218) (= (= @t217 @t159) @t216))))) % 1.11/1.33 (assume @p66 (forall (@list @t220 @t135 @t15 @t4 @t91 @t6) (=> @t223 (=> (not (= @t91 @t145)) (=> (and @t222 (not (= @t135 @t220))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 (tptp.hAPP @t221 @t135)) (tptp.c_Groups_Oplus__class_Oplus @t6 @t15 (tptp.hAPP @t221 @t220))))))))) % 1.11/1.33 (assume @p67 (forall @t228 (=> @t118 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t227 @t226) (tptp.c_Groups_Oplus__class_Oplus @t6 @t225 @t224))))) % 1.11/1.33 (assume @p68 (forall @t138 (=> @t118 (= @t229 (tptp.c_Groups_Oplus__class_Oplus @t6 @t225 @t15))))) % 1.11/1.33 (assume @p69 (forall @t138 (=> @t118 @t231))) % 1.11/1.33 (assume @p70 (forall @t233 (=> @t118 (= @t232 (tptp.c_Groups_Oplus__class_Oplus @t6 @t225 @t220))))) % 1.11/1.33 (assume @p71 (forall @t233 (=> @t118 (= @t232 (tptp.c_Groups_Oplus__class_Oplus @t6 @t135 (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t220)))))) % 1.11/1.33 (assume @p72 (forall @t219 (=> @t223 (= (= @t215 @t234) @t147)))) % 1.11/1.33 (assume @p73 (forall (@list @t135 @t4 @t6) (=> @t118 (= @t225 @t235)))) % 1.11/1.33 (assume @p74 (forall @t11 (=> @t118 @t236))) % 1.11/1.33 (assume @p75 (forall @t11 (=> @t118 @t237))) % 1.11/1.33 (assume @p76 (forall @t154 (=> @t238 (not (= @t145 @t159))))) % 1.11/1.33 (assume @p77 (forall @t154 (=> @t238 (not (= @t159 @t145))))) % 1.11/1.33 (assume @p78 (forall @t73 (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t63 (tptp.c_Groups_Oplus__class_Oplus @t6 @t61 @t72)) (tptp.c_Groups_Oplus__class_Oplus @t6 @t240 @t72))))) % 1.11/1.33 (assume @p79 (forall @t71 (=> @t8 (= @t241 @t240)))) % 1.11/1.33 (assume @p80 (forall @t71 (=> @t8 (= @t240 @t241)))) % 1.11/1.33 (assume @p81 (forall @t101 (=> @t248 (= (= @t247 @t145) @t244)))) % 1.11/1.33 (assume @p82 (forall @t40 (= @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t164 @t34) @t34)))) % 1.11/1.33 (assume @p83 (forall @t172 (=> @t171 (= (tptp.hAPP @t152 @t162) @t145)))) % 1.11/1.33 (assume @p84 (forall @t11 (=> @t170 (= (tptp.hAPP @t19 @t167) @t159)))) % 1.11/1.33 (assume @p85 (forall (@list @t249 @t146 @t6) (=> @t255 (= (= @t252 @t145) (and @t147 @t251))))) % 1.11/1.33 (assume @p86 (forall (@list @t114 @t97 @t96 @t102 @t6) (=> @t223 (= (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t258 @t257) (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t256 @t114) (tptp.hAPP @t245 @t96))) (or (= @t102 @t97) (= @t96 @t114)))))) % 1.11/1.33 (assume @p87 (forall (@list @t135 @t15 @t259 @t4 @t6) (=> (tptp.class_Rings_Osemiring @t6) (= (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t75 @t259) (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t261 @t259) @t135)) (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t260 @t259) @t135))))) % 1.11/1.33 (assume @p88 (forall (@list @t15 @t83 @t4 @t6) (=> @t118 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t186 (tptp.hAPP @t261 @t83)) (tptp.hAPP @t260 @t83))))) % 1.11/1.33 (assume @p89 (forall @t138 (=> @t118 @t264))) % 1.11/1.33 (assume @p90 (forall @t138 (=> (tptp.class_Rings_Ocomm__semiring @t6) @t264))) % 1.11/1.33 (assume @p91 (forall @t272 (=> @t223 (= (and (not @t216) (not @t271)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t270 (tptp.hAPP @t266 @t268)) (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t269 @t268) @t267))))))) % 1.11/1.33 (assume @p92 (forall (@list @t72 @t123 @t12 @t6) (=> @t118 (= (tptp.hAPP @t121 (tptp.c_Groups_Oplus__class_Oplus @t6 @t123 @t72)) (tptp.c_Groups_Oplus__class_Oplus @t6 @t142 @t133))))) % 1.11/1.33 (assume @p93 (forall @t11 (=> @t118 @t273))) % 1.11/1.33 (assume @p94 (forall @t11 (=> @t118 @t274))) % 1.11/1.33 (assume @p95 (forall @t138 (=> @t137 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t227 @t135) (tptp.c_Groups_Oplus__class_Oplus @t6 @t275 @t136))))) % 1.11/1.33 (assume @p96 (forall @t278 (=> @t253 (=> @t277 (or @t180 @t276))))) % 1.11/1.33 (assume @p97 (forall @t278 (=> @t253 (=> @t181 (=> @t279 (not @t277)))))) % 1.11/1.33 (assume @p98 (forall @t281 (=> (tptp.class_Rings_Oring__no__zero__divisors @t6) (= (= @t280 @t145) (or @t147 @t218))))) % 1.11/1.33 (assume @p99 (forall @t11 (=> @t118 @t282))) % 1.11/1.33 (assume @p100 (forall @t11 (=> @t254 @t282))) % 1.11/1.33 (assume @p101 (forall @t11 (=> @t118 @t283))) % 1.11/1.33 (assume @p102 (forall @t11 (=> @t254 @t283))) % 1.11/1.33 (assume @p103 (forall @t11 (=> @t137 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t159) @t4)))) % 1.11/1.33 (assume @p104 (forall @t13 (=> @t118 (= (tptp.hAPP @t115 @t161) @t12)))) % 1.11/1.33 (assume @p105 (forall @t11 (=> @t137 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t145 @t4) @t145)))) % 1.11/1.33 (assume @p106 (forall @t11 (=> @t183 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t4 @t145) @t145)))) % 1.11/1.33 (assume @p107 (forall @t289 (=> @t9 (=> @t288 (=> @t287 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t134 @t286) (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Oplus__class_Oplus @t6 @t133 @t285) @t284))))))) % 1.11/1.33 (assume @p108 (forall @t294 (=> @t9 (=> @t287 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t293 @t123) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t292 @t72)))))) % 1.11/1.33 (assume @p109 (forall @t296 (=> @t23 (=> @t288 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t134 @t72) @t295))))) % 1.11/1.33 (assume @p110 (forall @t294 (=> @t9 (=> @t287 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t12 @t298) (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Oplus__class_Oplus @t6 @t297 @t123) @t72)))))) % 1.11/1.33 (assume @p111 (forall @t299 (=> @t23 (=> @t288 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t72 @t134) @t295))))) % 1.11/1.33 (assume @p112 (forall @t301 (=> @t8 (= @t300 (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t5 @t52)))))) % 1.11/1.33 (assume @p113 (forall @t302 (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t63 @t159) (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t62 @t5)))))) % 1.11/1.33 (assume @p114 (forall @t301 (=> @t8 (= (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Int_OBit1 @t52)) (tptp.c_Groups_Oplus__class_Oplus @t6 @t300 @t61))))) % 1.11/1.33 (assume @p115 (forall @t301 (=> @t8 (= @t303 (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.c_Groups_Oplus__class_Oplus @t6 @t145 @t61) @t61))))) % 1.11/1.33 (assume @p116 (forall @t40 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint tptp.c_Int_OPls @t34) @t34))) % 1.11/1.33 (assume @p117 (forall @t40 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 tptp.c_Int_OPls) @t34))) % 1.11/1.33 (assume @p118 (forall @t40 (= @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t34)))) % 1.11/1.33 (assume @p119 (forall @t36 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t37) (tptp.c_Int_OBit0 @t304)))) % 1.11/1.33 (assume @p120 (forall @t172 (=> @t80 (= (tptp.hAPP @t160 @t14) @t159)))) % 1.11/1.33 (assume @p121 (forall @t11 (=> @t80 (= (tptp.hAPP @t19 @t161) @t4)))) % 1.11/1.33 (assume @p122 (forall @t81 (=> @t150 (=> @t181 (not (= @t20 @t145)))))) % 1.11/1.33 (assume @p123 (= tptp.c_Int_OPls @t305)) % 1.11/1.33 (assume @p124 (= @t305 @t306)) % 1.11/1.33 (assume @p125 (forall @t308 (=> @t118 (= (tptp.hAPP @t141 @t12) @t307)))) % 1.11/1.33 (assume @p126 (forall @t308 (=> @t118 (= @t309 @t307)))) % 1.11/1.33 (assume @p127 (forall @t308 (=> @t118 (= @t307 @t309)))) % 1.11/1.33 (assume @p128 (forall @t312 (=> @t118 (= (tptp.hAPP (tptp.hAPP @t64 @t311) @t140) (tptp.hAPP @t115 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t310 @t139)))))) % 1.11/1.33 (assume @p129 (forall @t314 (=> @t137 (=> @t313 (=> (= @t263 @t15) (= @t4 @t136)))))) % 1.11/1.33 (assume @p130 (forall @t315 (=> @t137 (=> @t313 (=> (= @t15 @t263) (= @t136 @t4)))))) % 1.11/1.33 (assume @p131 (forall (@list @t102 @t97 @t114 @t96 @t6) (=> @t9 (=> @t316 (=> (not (= @t114 @t145)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t97 @t96) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t102 @t114)) (= @t257 @t258))))))) % 1.11/1.33 (assume @p132 (forall @t314 (=> @t23 (=> @t313 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t319 @t318) @t21))))) % 1.11/1.33 (assume @p133 (forall @t314 (=> @t23 (=> @t313 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t263 @t262) @t21))))) % 1.11/1.33 (assume @p134 (forall @t325 (=> @t137 (=> @t324 (= @t322 @t320))))) % 1.11/1.33 (assume @p135 (forall @t328 (=> @t137 (=> @t324 (= @t327 @t326))))) % 1.11/1.33 (assume @p136 (forall @t330 (=> @t23 (= @t322 (and (=> @t324 @t320) @t329))))) % 1.11/1.33 (assume @p137 (forall @t331 (=> @t23 (= @t327 (and (=> @t324 @t326) @t329))))) % 1.11/1.33 (assume @p138 @t334) % 1.11/1.33 (assume @p139 (forall @t163 (= (tptp.c_Nat_OSuc @t335) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t14)))) % 1.11/1.33 (assume @p140 (= @t336 @t198)) % 1.11/1.33 (assume @p141 (= @t95 (tptp.c_Nat_OSuc @t337))) % 1.11/1.33 (assume @p142 @t339) % 1.11/1.33 (assume @p143 (forall @t163 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t42) @t335))) % 1.11/1.33 (assume @p144 (forall @t163 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t14) @t335))) % 1.11/1.33 (assume @p145 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t161) @t42)) % 1.11/1.33 (assume @p146 (= @t337 @t42)) % 1.11/1.33 (assume @p147 (= @t42 @t337)) % 1.11/1.33 (assume @p148 (forall @t344 (=> @t343 (= (tptp.hAPP (tptp.hAPP @t55 (tptp.c_Groups_Oplus__class_Oplus @t53 @t4 @t15)) @t340) (tptp.c_Groups_Oplus__class_Oplus @t53 @t342 @t341))))) % 1.11/1.33 (assume @p149 (forall @t348 (=> @t343 (= (tptp.hAPP @t345 (tptp.c_Groups_Oplus__class_Oplus @t53 @t15 @t135)) (tptp.c_Groups_Oplus__class_Oplus @t53 @t347 @t346))))) % 1.11/1.33 (assume @p150 (forall @t11 (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t349) @t4)))) % 1.11/1.33 (assume @p151 (forall @t11 (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t349 @t4) @t4)))) % 1.11/1.33 (assume @p152 (forall @t81 (=> @t80 (= @t350 @t79)))) % 1.11/1.33 (assume @p153 (forall @t81 (=> @t170 (= @t350 @t78)))) % 1.11/1.33 (assume @p154 (forall @t88 (=> @t80 (= (tptp.hAPP @t19 @t351) (tptp.hAPP (tptp.hAPP @t64 @t84) @t20))))) % 1.11/1.33 (assume @p155 (forall @t36 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t33) @t352))) % 1.11/1.33 (assume @p156 (forall @t36 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t37) @t352))) % 1.11/1.33 (assume @p157 (forall @t36 (= (tptp.hAPP (tptp.hAPP @t67 @t38) @t32) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t90 @t32)))) % 1.11/1.33 (assume @p158 (forall @t81 (=> @t23 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t159 @t20) (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t159 @t4)) @t14))))) % 1.11/1.33 (assume @p159 (= @t164 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t5))) % 1.11/1.33 (assume @p160 (forall @t154 (=> @t8 (= @t145 @t349)))) % 1.11/1.33 (assume @p161 (forall @t154 (=> @t8 (= @t349 @t145)))) % 1.11/1.33 (assume @p162 (forall (@list @t14 @t4 @t15 @t6) (=> @t9 (=> @t279 @t22)))) % 1.11/1.33 (assume @p163 (= @t167 @t353)) % 1.11/1.33 (assume @p164 (= @t353 @t167)) % 1.11/1.33 (assume @p165 (forall @t101 (=> @t357 (= (= @t356 @t145) @t244)))) % 1.11/1.33 (assume @p166 (forall @t154 (=> @t8 (= @t159 @t7)))) % 1.11/1.33 (assume @p167 (forall @t154 (=> @t8 (= @t7 @t159)))) % 1.11/1.33 (assume @p168 (forall @t369 (=> @t118 (= @t368 (tptp.hAPP @t364 (tptp.hAPP @t360 @t358)))))) % 1.11/1.33 (assume @p169 (forall @t369 (=> @t118 (= @t368 (tptp.hAPP @t365 (tptp.hAPP @t367 @t358)))))) % 1.11/1.33 (assume @p170 (forall @t369 (=> @t118 (= @t368 (tptp.hAPP @t363 (tptp.hAPP @t360 @t366)))))) % 1.11/1.33 (assume @p171 (forall @t371 (=> @t118 (= @t370 (tptp.hAPP @t364 @t359))))) % 1.11/1.33 (assume @p172 (forall @t371 (=> @t118 (= @t370 (tptp.hAPP @t363 (tptp.hAPP @t360 @t361)))))) % 1.11/1.33 (assume @p173 (forall @t373 (=> @t118 (= @t372 (tptp.hAPP @t364 @t358))))) % 1.11/1.33 (assume @p174 (forall @t373 (=> @t118 (= @t372 (tptp.hAPP @t365 (tptp.hAPP @t363 @t358)))))) % 1.11/1.33 (assume @p175 (forall @t278 (=> @t118 (= @t76 @t374)))) % 1.11/1.33 (assume @p176 (= @t161 @t336)) % 1.11/1.33 (assume @p177 (= @t336 @t161)) % 1.11/1.33 (assume @p178 (forall @t381 (=> @t380 (= (= @t146 @t379) (and (=> @t378 (= @t377 @t215)) @t376))))) % 1.11/1.33 (assume @p179 (forall @t384 (=> @t380 (= (= @t103 @t321) (and (=> @t324 (= @t383 @t215)) @t382))))) % 1.11/1.33 (assume @p180 (forall @t385 (=> @t380 (= (= @t321 @t103) (and (=> @t324 (= @t215 @t383)) @t382))))) % 1.11/1.33 (assume @p181 (forall @t386 (=> @t380 (= (= @t379 @t146) (and (=> @t378 (= @t215 @t377)) @t376))))) % 1.11/1.33 (assume @p182 (forall @t13 (=> @t387 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t12 @t349) @t145)))) % 1.11/1.33 (assume @p183 (forall @t312 (=> @t118 (= (tptp.hAPP (tptp.hAPP @t16 @t311) @t139) (tptp.hAPP @t115 (tptp.hAPP @t388 @t139)))))) % 1.11/1.33 (assume @p184 (forall @t165 (= (tptp.hAPP (tptp.hAPP @t85 @t72) @t42) @t389))) % 1.11/1.33 (assume @p185 (forall @t165 (= (tptp.hAPP @t111 @t72) @t389))) % 1.11/1.33 (assume @p186 (forall @t119 (=> @t118 (= (tptp.hAPP @t115 @t143) (tptp.hAPP @t121 @t117))))) % 1.11/1.33 (assume @p187 (forall @t391 (=> @t8 (= (tptp.hAPP @t290 @t124) @t390)))) % 1.11/1.33 (assume @p188 (forall @t391 (=> @t8 (= (tptp.hAPP @t125 @t72) @t390)))) % 1.11/1.33 (assume @p189 (forall @t51 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t392 @t392) @t12))) % 1.11/1.33 (assume @p190 (forall @t396 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t47 @t97) @t42) (tptp.hAPP (tptp.hAPP @t47 @t96) @t42)) @t393) @t395))) % 1.11/1.33 (assume @p191 (forall @t301 (=> @t171 (and (=> @t399 (= @t398 @t159)) (=> (not @t399) (= @t398 @t145)))))) % 1.11/1.33 (assume @p192 (forall (@list @t102 @t146 @t6) (=> @t255 (= (= (tptp.hAPP @t148 @t400) @t145) (and @t147 (not @t401)))))) % 1.11/1.33 (assume @p193 (forall @t81 (=> @t357 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t144) @t402)))) % 1.11/1.33 (assume @p194 (forall @t81 (=> @t357 (=> @t403 (tptp.c_Orderings_Oord__class_Oless @t6 @t144 @t145))))) % 1.11/1.33 (assume @p195 (forall @t172 (=> @t8 (= (tptp.hAPP @t405 @t143) @t404)))) % 1.11/1.33 (assume @p196 (forall @t172 (=> @t8 (= (tptp.hAPP @t405 @t112) @t159)))) % 1.11/1.33 (assume @p197 (forall @t154 (=> @t170 (= @t16 (tptp.c_Power_Opower_Opower @t6 @t159 @t64))))) % 1.11/1.33 (assume @p198 (forall @t172 (=> @t408 (= (tptp.hAPP @t407 @t143) @t406)))) % 1.11/1.33 (assume @p199 (forall @t131 (=> @t8 (= (tptp.hAPP (tptp.hAPP @t16 @t409) @t42) (tptp.c_Groups_Ominus__class_Ominus @t6 @t129 @t126))))) % 1.11/1.33 (assume @p200 (not @t410)) % 1.11/1.33 (assume @p201 (not (= @t305 @t164))) % 1.11/1.33 (assume @p202 (forall @t165 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t411 @t72) @t305)))) % 1.11/1.33 (assume @p203 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t164)) % 1.11/1.33 (assume @p204 (= tptp.c_Int_OMin (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t164))) % 1.11/1.33 (assume @p205 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t305) @t305)) % 1.11/1.33 (assume @p206 (forall @t415 (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 @t44 @t414) @t414)) @t413))) % 1.11/1.33 (assume @p207 (forall @t176 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t418) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t417 @t416)))) % 1.11/1.33 (assume @p208 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t305)) % 1.11/1.33 (assume @p209 (forall @t165 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t305 @t72) @t72))) % 1.11/1.33 (assume @p210 (forall @t419 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 @t114) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t114)))) % 1.11/1.33 (assume @p211 (forall @t422 (= @t421 (or @t420 @t250)))) % 1.11/1.33 (assume @p212 (forall @t422 (= @t421 (or @t250 @t420)))) % 1.11/1.33 (assume @p213 (forall @t165 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t72 @t305) @t72))) % 1.11/1.33 (assume @p214 (forall @t176 (= @t418 @t423))) % 1.11/1.33 (assume @p215 (forall @t176 (= @t425 @t424))) % 1.11/1.33 (assume @p216 (forall @t108 (= @t426 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t29 @t26) @t305)))) % 1.11/1.33 (assume @p217 (forall @t176 (= @t424 @t425))) % 1.11/1.33 (assume @p218 (forall @t428 (= @t427 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t102 @t114)))) % 1.11/1.33 (assume @p219 (forall @t428 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t102 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t114 @t164)) @t429))) % 1.11/1.33 (assume @p220 (forall @t428 (= @t427 (or @t429 (= @t102 @t114))))) % 1.11/1.33 (assume @p221 (forall @t191 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 @t72)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t72))))) % 1.11/1.33 (assume @p222 (forall @t165 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t417 @t72) @t305))) % 1.11/1.33 (assume @p223 (forall @t202 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t201 @t200) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t239)))) % 1.11/1.33 (assume @p224 (forall @t202 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t201 @t200) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t430)))) % 1.11/1.33 (assume @p225 (forall @t428 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t102 @t164) @t114) @t429))) % 1.11/1.33 (assume @p226 (forall @t208 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t196 @t205) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t194 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t192 @t205))))) % 1.11/1.33 (assume @p227 (forall @t419 (= (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 @t164 @t114) @t114) @t305) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t305)))) % 1.11/1.33 (assume @p228 (forall @t165 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t72) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t411)))) % 1.11/1.33 (assume @p229 (forall @t437 (=> @t436 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t435 @t433) @t431)))) % 1.11/1.33 (assume @p230 (forall @t437 (=> @t436 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t438 @t97) (tptp.hAPP @t438 @t96)) @t431)))) % 1.11/1.33 (assume @p231 (forall (@list @t14 @t83 @t440) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t440) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t441 @t83) @t442) @t439)))) % 1.11/1.33 (assume @p232 (forall (@list @t72 @t52) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t52 @t72) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 @t164) @t72)))) % 1.11/1.33 (assume @p233 (forall @t445 (=> @t444 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t440 @t34) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t443 @t34))))) % 1.11/1.33 (assume @p234 (forall @t445 (=> @t446 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t440) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t443))))) % 1.11/1.33 (assume @p235 (forall (@list @t72 @t447 @t52 @t448) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t448 @t52) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t447 @t72) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t448 @t447) @t423))))) % 1.11/1.33 (assume @p236 (forall @t131 (=> @t357 (=> @t451 (=> (not @t449) (tptp.c_Orderings_Oord__class_Oless @t6 @t123 @t12)))))) % 1.11/1.33 (assume @p237 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t453 @t393) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t96 @t452)))) % 1.11/1.33 (assume @p238 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t453 @t393) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t96 @t452)))) % 1.11/1.33 (assume @p239 (forall @t396 (= @t431 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t97 @t96) @t393)))) % 1.11/1.33 (assume @p240 (forall @t158 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t12 @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t12 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t123))))) % 1.11/1.33 (assume @p241 (forall (@list @t454 @t91) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t91 @t454) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t91 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t454))))) % 1.11/1.33 (assume @p242 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t453) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t452 @t96)))) % 1.11/1.33 (assume @p243 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t453) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t452 @t96)))) % 1.11/1.33 (assume @p244 (not (= @t393 @t455))) % 1.11/1.33 (assume @p245 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t458 @t457) @t456))) % 1.11/1.33 (assume @p246 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t458 @t457) @t426))) % 1.11/1.33 (assume @p247 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t30 tptp.c_Int_OMin) @t459))) % 1.11/1.33 (assume @p248 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t30) @t460))) % 1.11/1.33 (assume @p249 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin)) % 1.11/1.33 (assume @p250 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OMin))) % 1.11/1.33 (assume @p251 (forall @t82 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t200) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t416)))) % 1.11/1.33 (assume @p252 (forall @t40 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t34) @t34))) % 1.11/1.33 (assume @p253 (forall @t131 (=> @t461 (= @t409 (tptp.c_Groups_Oplus__class_Oplus @t6 @t12 (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t123)))))) % 1.11/1.33 (assume @p254 (forall @t151 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t463) @t462)))) % 1.11/1.33 (assume @p255 (forall @t71 (=> @t8 (= (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t62 @t52)) @t464)))) % 1.11/1.33 (assume @p256 (forall @t71 (=> @t8 (= @t464 @t465)))) % 1.11/1.33 (assume @p257 (forall @t301 (=> @t8 (= @t467 @t466)))) % 1.11/1.33 (assume @p258 (forall @t301 (=> @t8 (= @t466 @t467)))) % 1.11/1.33 (assume @p259 (forall (@list @t102 @t468 @t6) (=> (and @t104 (tptp.class_Orderings_Olinorder @t6)) (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t469 @t103) (not (tptp.c_Orderings_Oord__class_Oless @t6 @t103 @t469)))))) % 1.11/1.33 (assume @p260 (forall @t101 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t100 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 @t96))))) % 1.11/1.33 (assume @p261 (forall @t101 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t100 @t99) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t97 @t96))))) % 1.11/1.33 (assume @p262 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t107) @t460))) % 1.11/1.33 (assume @p263 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 tptp.c_Int_OMin) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 tptp.c_Int_OMin)))) % 1.11/1.33 (assume @p264 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OPls)) % 1.11/1.33 (assume @p265 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OMin))) % 1.11/1.33 (assume @p266 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OMin @t30) @t460))) % 1.11/1.33 (assume @p267 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t107) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin @t29)))) % 1.11/1.33 (assume @p268 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 tptp.c_Int_OMin) @t459))) % 1.11/1.33 (assume @p269 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OMin tptp.c_Int_OPls)) % 1.11/1.33 (assume @p270 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OMin))) % 1.11/1.33 (assume @p271 (forall @t163 (=> @t473 (= @t14 @t472)))) % 1.11/1.33 (assume @p272 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t30 tptp.c_Int_OMin) @t459))) % 1.11/1.33 (assume @p273 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t67 tptp.c_Int_OMin) @t34) @t474))) % 1.11/1.33 (assume @p274 (forall @t24 (=> @t477 (=> @t476 (=> @t402 (=> @t473 @t475)))))) % 1.11/1.33 (assume @p275 (forall @t88 (=> @t477 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t84 @t20) @t478))))) % 1.11/1.33 (assume @p276 (forall @t484 (=> @t477 (=> @t483 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t482 @t481) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t96)))))) % 1.11/1.33 (assume @p277 (forall @t51 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t337) (or (= @t12 @t167) (= @t12 @t198))))) % 1.11/1.33 (assume @p278 (forall (@list @t102 @t97) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 (tptp.hAPP @t214 @t400)) (or @t401 @t420)))) % 1.11/1.33 (assume @p279 (forall @t396 (= (= @t453 @t393) (= @t96 @t452)))) % 1.11/1.33 (assume @p280 (forall (@list @t146 @t97) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t97 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t146)) @t393) (= @t97 @t146)))) % 1.11/1.33 (assume @p281 (forall (@list @t123 @t12 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t72) (=> @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t485 @t12) (tptp.hAPP @t485 @t123)))))) % 1.11/1.33 (assume @p282 (forall @t158 (=> @t488 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t123) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t487))))) % 1.11/1.33 (assume @p283 (forall @t437 (=> @t436 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t435 @t433) @t489)))) % 1.11/1.33 (assume @p284 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t97 @t96)) (and (or @t492 @t491) (or @t490 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t96 @t393)))))) % 1.11/1.33 (assume @p285 (forall @t191 (=> @t493 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t12) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t123))))) % 1.11/1.33 (assume @p286 (forall (@list @t12 @t14 @t6) (=> @t80 (=> @t473 (= (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t115 @t471)) @t12) @t116))))) % 1.11/1.33 (assume @p287 (forall (@list @t146 @t495 @t494 @t6) (= (tptp.hAPP @t496 @t167) @t494))) % 1.11/1.33 (assume @p288 (forall (@list @t72 @t52 @t6) (=> @t8 (= (tptp.hAPP (tptp.hAPP @t64 @t467) @t72) (tptp.hAPP (tptp.hAPP @t64 @t466) @t72))))) % 1.11/1.33 (assume @p289 (forall (@list @t52 @t135 @t62 @t6) (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t63 (tptp.c_Groups_Ominus__class_Ominus @t6 @t135 @t61)) (tptp.c_Groups_Oplus__class_Oplus @t6 @t465 @t135))))) % 1.11/1.33 (assume @p290 (forall @t391 (=> @t8 (= (tptp.hAPP @t290 @t404) @t497)))) % 1.11/1.33 (assume @p291 (forall @t391 (=> @t8 (= (tptp.hAPP (tptp.hAPP @t64 @t404) @t72) @t497)))) % 1.11/1.33 (assume @p292 (forall @t505 (=> @t504 (= @t503 (tptp.c_Orderings_Oord__class_Oless @t6 @t500 @t268))))) % 1.11/1.33 (assume @p293 (forall @t505 (=> @t504 (= @t503 (tptp.c_Orderings_Oord__class_Oless @t6 @t265 @t506))))) % 1.11/1.33 (assume @p294 (forall @t154 (=> @t8 (= @t404 @t406)))) % 1.11/1.33 (assume @p295 (forall @t154 (=> @t8 (= @t406 @t404)))) % 1.11/1.33 (assume @p296 (forall @t505 (=> @t504 (= @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t500 @t268))))) % 1.11/1.33 (assume @p297 (forall @t505 (=> @t504 (= @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t265 @t506))))) % 1.11/1.33 (assume @p298 (forall @t314 (=> @t512 (=> @t511 @t510)))) % 1.11/1.33 (assume @p299 (forall @t514 (=> @t512 (=> @t513 @t510)))) % 1.11/1.33 (assume @p300 (forall @t314 (=> @t512 @t518))) % 1.11/1.33 (assume @p301 (forall @t314 (=> @t519 @t518))) % 1.11/1.33 (assume @p302 (forall @t514 (=> @t512 @t521))) % 1.11/1.33 (assume @p303 (forall @t514 (=> @t519 @t521))) % 1.11/1.33 (assume @p304 (forall @t228 (=> @t512 (=> @t508 (=> @t526 (=> @t525 @t524)))))) % 1.11/1.33 (assume @p305 (forall @t228 (=> @t512 (=> @t476 (=> @t527 (=> @t402 (=> @t509 @t523))))))) % 1.11/1.33 (assume @p306 (forall @t228 (=> @t512 (=> @t476 (=> @t526 (=> @t402 @t524)))))) % 1.11/1.33 (assume @p307 (forall @t228 (=> @t512 (=> @t476 (=> @t526 (=> @t528 @t524)))))) % 1.11/1.33 (assume @p308 (forall @t328 (=> @t248 (=> @t533 (= @t532 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t146)))))) % 1.11/1.33 (assume @p309 (forall @t328 (=> @t248 (=> @t535 (= @t532 @t534))))) % 1.11/1.33 (assume @p310 (forall @t13 (=> @t387 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t12 @t404) @t536)))) % 1.11/1.33 (assume @p311 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t33) @t538))) % 1.11/1.33 (assume @p312 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t33) (tptp.c_Int_OBit0 @t537)))) % 1.11/1.33 (assume @p313 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OMin @t37) @t538))) % 1.11/1.33 (assume @p314 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OMin) @t5)) % 1.11/1.33 (assume @p315 (forall @t540 (=> @t477 (=> @t475 (=> @t539 @t476))))) % 1.11/1.33 (assume @p316 (forall @t131 (=> @t544 (=> @t543 (=> @t542 @t541))))) % 1.11/1.33 (assume @p317 (forall @t131 (=> @t544 (=> @t543 (=> @t546 @t545))))) % 1.11/1.33 (assume @p318 (forall @t552 (=> @t544 (=> @t551 (=> @t550 (=> @t549 (=> @t548 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t293 @t547)))))))) % 1.11/1.33 (assume @p319 (forall @t552 (=> @t544 (=> @t551 (=> @t449 (=> @t549 (=> @t548 @t553))))))) % 1.11/1.33 (assume @p320 (forall @t552 (=> @t544 (=> @t554 (=> @t550 (=> @t549 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t52 @t72) @t553))))))) % 1.11/1.33 (assume @p321 (forall @t131 (=> @t544 (=> @t551 (=> @t542 @t545))))) % 1.11/1.33 (assume @p322 (forall @t131 (=> @t544 (=> @t551 (=> @t546 @t541))))) % 1.11/1.33 (assume @p323 (forall @t540 (=> @t477 (=> (= @t20 @t18) (=> @t402 (=> @t539 (=> @t473 @t222))))))) % 1.11/1.33 (assume @p324 (forall @t558 (=> @t477 (=> @t557 (=> @t479 (tptp.c_Orderings_Oord__class_Oless @t6 @t20 @t556)))))) % 1.11/1.33 (assume @p325 (forall @t88 (=> @t477 (=> @t479 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t84 @t20) @t439))))) % 1.11/1.33 (assume @p326 (forall @t81 (=> @t477 (=> @t479 (=> @t473 (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t20)))))) % 1.11/1.33 (assume @p327 (forall @t484 (=> @t477 (=> @t483 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t482 @t481) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t96)))))) % 1.11/1.33 (assume @p328 (forall @t558 (=> @t477 (=> @t560 (=> @t559 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t20 @t556)))))) % 1.11/1.33 (assume @p329 (forall (@list @t62) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t561) (= @t561 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t561 @t161)))))) % 1.11/1.33 (assume @p330 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 tptp.c_Int_OPls) @t562))) % 1.11/1.33 (assume @p331 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t107) @t563))) % 1.11/1.33 (assume @p332 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t568 @t567) @t566))) % 1.11/1.33 (assume @p333 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 @t27) @t426))) % 1.11/1.33 (assume @p334 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t571) @t570))) % 1.11/1.33 (assume @p335 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t30 @t106) @t456))) % 1.11/1.33 (assume @p336 (forall @t577 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t576 @t575) (and (=> @t574 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t573)) @t574)))) % 1.11/1.33 (assume @p337 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t576) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t468)))) % 1.11/1.33 (assume @p338 (forall @t577 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t576 @t575) (=> (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t468 @t573)) @t579)))) % 1.11/1.33 (assume @p339 (forall (@list @t220 @t15 @t135 @t4 @t6) (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t225 @t224) (tptp.c_Groups_Oplus__class_Oplus @t6 @t580 (tptp.c_Groups_Ominus__class_Ominus @t6 @t135 @t220)))))) % 1.11/1.33 (assume @p340 (forall @t278 (=> @t585 (= @t584 @t583)))) % 1.11/1.33 (assume @p341 (forall @t278 (=> @t585 (= @t584 @t588)))) % 1.11/1.33 (assume @p342 (forall @t278 (=> @t585 (= @t588 @t583)))) % 1.11/1.33 (assume @p343 (forall @t278 (=> @t585 (= (tptp.hAPP @t587 @t582) @t76)))) % 1.11/1.33 (assume @p344 (forall @t281 (=> @t591 (= (= (tptp.hAPP @t269 @t146) (tptp.hAPP @t266 @t215)) (or @t216 @t590))))) % 1.11/1.33 (assume @p345 (forall @t51 (=> @t593 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t592) (or (= @t12 @t305) (= @t12 @t164)))))) % 1.11/1.33 (assume @p346 (forall @t138 (=> @t137 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t580 @t135) (tptp.c_Groups_Ominus__class_Ominus @t6 @t275 @t136))))) % 1.11/1.33 (assume @p347 (forall @t278 (=> @t23 @t594))) % 1.11/1.33 (assume @p348 (forall @t278 (=> @t137 (= @t595 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t586 @t15))))) % 1.11/1.33 (assume @p349 (forall @t278 (=> @t23 @t596))) % 1.11/1.33 (assume @p350 (forall @t40 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t34 tptp.c_Int_OPls) @t34))) % 1.11/1.33 (assume @p351 (forall @t36 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t35 @t37) @t598))) % 1.11/1.33 (assume @p352 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint tptp.c_Int_OPls) tptp.c_Int_OPls)) % 1.11/1.33 (assume @p353 (forall @t40 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t35) (tptp.c_Int_OBit0 @t474)))) % 1.11/1.33 (assume @p354 (forall @t31 (= (= @t107 tptp.c_Int_OMin) (= @t29 tptp.c_Int_OMin)))) % 1.11/1.33 (assume @p355 (forall @t28 (= (= tptp.c_Int_OMin @t106) (= tptp.c_Int_OMin @t26)))) % 1.11/1.33 (assume @p356 (= (tptp.c_Int_OBit1 tptp.c_Int_OMin) tptp.c_Int_OMin)) % 1.11/1.33 (assume @p357 (not (= @t306 @t599))) % 1.11/1.33 (assume @p358 (not (= tptp.c_Int_OPls tptp.c_Int_OMin))) % 1.11/1.33 (assume @p359 (not (= tptp.c_Int_OMin tptp.c_Int_OPls))) % 1.11/1.33 (assume @p360 (forall @t40 (not (= @t35 tptp.c_Int_OMin)))) % 1.11/1.33 (assume @p361 (forall @t39 (not (= tptp.c_Int_OMin @t37)))) % 1.11/1.33 (assume @p362 (forall @t601 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t162) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t600 @t14)))) % 1.11/1.33 (assume @p363 (forall @t601 (and (=> @t602 (= @t351 @t14)) (=> @t603 (= @t351 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t600 @t14))))))) % 1.11/1.33 (assume @p364 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t67 @t604) @t52) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t210 @t209)))) % 1.11/1.33 (assume @p365 (forall @t197 (= (tptp.hAPP @t174 @t604) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t195 @t193)))) % 1.11/1.33 (assume @p366 (forall @t176 (= (tptp.hAPP (tptp.hAPP @t67 @t417) @t52) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t175)))) % 1.11/1.33 (assume @p367 (forall @t601 (and (=> @t602 (= @t87 @t167)) (=> @t603 (= @t87 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 (tptp.hAPP (tptp.hAPP @t85 @t600) @t14))))))) % 1.11/1.33 (assume @p368 (forall (@list @t310 @t83) (and (=> @t602 (= @t606 @t161)) (=> @t603 (= @t606 (tptp.hAPP @t388 (tptp.hAPP @t605 @t600))))))) % 1.11/1.33 (assume @p369 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t568 @t571) @t566))) % 1.11/1.33 (assume @p370 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 @t106) @t426))) % 1.11/1.33 (assume @p371 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t102) @t305) @t607))) % 1.11/1.33 (assume @p372 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls))) % 1.11/1.33 (assume @p373 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t305))) % 1.11/1.33 (assume @p374 (forall @t601 (=> (= (tptp.hAPP (tptp.hAPP @t67 @t83) @t14) @t164) (or (= @t83 @t164) (= @t83 @t599))))) % 1.11/1.33 (assume @p375 (forall @t611 (= @t610 (or @t609 (and (= @t212 @t599) (= @t249 @t599)))))) % 1.11/1.33 (assume @p376 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t567) @t566))) % 1.11/1.33 (assume @p377 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t30 @t27) @t426))) % 1.11/1.33 (assume @p378 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t102) @t305) @t607))) % 1.11/1.33 (assume @p379 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t568 @t571) @t570))) % 1.11/1.33 (assume @p380 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 @t106) @t456))) % 1.11/1.33 (assume @p381 (forall @t612 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t440) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t442)))) % 1.11/1.33 (assume @p382 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls tptp.c_Int_OPls)) % 1.11/1.33 (assume @p383 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t572 @t567) @t570))) % 1.11/1.33 (assume @p384 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t30 @t27) @t456))) % 1.11/1.33 (assume @p385 (forall @t614 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t613)) @t394))) % 1.11/1.33 (assume @p386 (forall @t445 (=> @t444 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t34) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t89 @t440) (tptp.hAPP @t89 @t443)))))) % 1.11/1.33 (assume @p387 (forall @t611 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t212) (= @t610 @t609)))) % 1.11/1.33 (assume @p388 (forall @t101 (=> @t616 (= @t615 (= @t96 (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t97)))))) % 1.11/1.33 (assume @p389 (forall @t621 (=> @t585 (= @t620 (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t121 @t619) @t618))))) % 1.11/1.33 (assume @p390 (forall @t101 (=> @t591 (= (= (tptp.hAPP @t355 @t337) (tptp.hAPP @t354 @t337)) (or @t98 (= @t97 (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t96))))))) % 1.11/1.33 (assume @p391 (forall @t13 (=> @t387 (= (tptp.c_Rings_Oinverse__class_Odivide @t6 @t404 @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t6 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t159 @t12)))))) % 1.11/1.33 (assume @p392 (forall @t331 (=> @t628 (= @t627 (and (=> @t535 @t626) (=> @t625 (and (=> @t533 @t624) (=> @t623 @t622)))))))) % 1.11/1.33 (assume @p393 (forall @t330 (=> @t628 (= @t630 (and (=> @t535 @t624) (=> @t625 (and (=> @t533 @t626) (=> @t623 @t629)))))))) % 1.11/1.33 (assume @p394 (forall @t328 (=> @t544 (=> @t535 (= @t627 @t626))))) % 1.11/1.33 (assume @p395 (forall @t325 (=> @t544 (=> @t535 (= @t630 @t624))))) % 1.11/1.33 (assume @p396 (forall @t296 (=> @t544 (=> @t546 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t12 @t291) (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t134 @t72)))))) % 1.11/1.33 (assume @p397 (forall @t299 (=> @t544 (=> @t546 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t291 @t12) (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t72 @t134)))))) % 1.11/1.33 (assume @p398 (forall @t328 (=> @t544 (=> @t533 (= @t627 @t624))))) % 1.11/1.33 (assume @p399 (forall @t325 (=> @t544 (=> @t533 (= @t630 @t626))))) % 1.11/1.33 (assume @p400 (forall @t636 (=> @t544 (=> @t635 (=> @t515 @t634))))) % 1.11/1.33 (assume @p401 (forall @t138 (=> @t628 (=> @t508 (=> @t637 @t634))))) % 1.11/1.33 (assume @p402 (forall @t638 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t100 @t145) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 tptp.c_Int_OPls))))) % 1.11/1.33 (assume @p403 (forall @t639 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t96))))) % 1.11/1.33 (assume @p404 (forall @t558 (=> @t477 (=> @t557 (=> @t525 (=> @t640 (tptp.c_Orderings_Oord__class_Oless @t6 @t556 @t20))))))) % 1.11/1.33 (assume @p405 (forall @t638 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t100 @t145) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t97 tptp.c_Int_OPls))))) % 1.11/1.33 (assume @p406 (forall @t639 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t99) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t96))))) % 1.11/1.33 (assume @p407 (forall (@list @t83 @t14 @t4 @t6) (=> @t9 (=> @t181 (=> @t642 (= (tptp.hAPP @t19 @t641) (tptp.c_Rings_Oinverse__class_Odivide @t6 @t84 @t20))))))) % 1.11/1.33 (assume @p408 (forall @t558 (=> @t477 (=> @t560 (=> @t402 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t4 @t159) (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t556 @t20))))))) % 1.11/1.33 (assume @p409 (forall @t302 (=> @t8 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t63 @t159) (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t62 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t5))))))) % 1.11/1.33 (assume @p410 (forall @t301 (=> @t8 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t159 @t61) (tptp.c_Int_Onumber__class_Onumber__of @t6 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t5 @t416)))))) % 1.11/1.33 (assume @p411 (forall @t647 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t6) (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t12 @t4) (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t123 @t4) (=> @t646 (=> @t645 (=> @t644 (tptp.c_Orderings_Oord__class_Oless @t6 @t643 @t4))))))))) % 1.11/1.33 (assume @p412 (forall @t381 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t379) (and (=> @t651 @t653) (=> @t652 (and (=> @t648 @t650) (=> @t649 @t622)))))))) % 1.11/1.33 (assume @p413 (forall @t384 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t103 @t321) (and (=> @t535 @t656) (=> @t625 (and (=> @t533 @t655) (=> @t623 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t103 @t145))))))))) % 1.11/1.33 (assume @p414 (forall @t385 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t321 @t103) (and (=> @t535 @t655) (=> @t625 (and (=> @t533 @t656) (=> @t623 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t103))))))))) % 1.11/1.33 (assume @p415 (forall @t386 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t379 @t146) (and (=> @t651 @t650) (=> @t652 (and (=> @t648 @t653) (=> @t649 @t629)))))))) % 1.11/1.33 (assume @p416 (forall @t638 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t100 @t159) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t97 @t5))))) % 1.11/1.33 (assume @p417 (forall @t639 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t5 @t96))))) % 1.11/1.33 (assume @p418 (forall @t638 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t100 @t159) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t97 @t5))))) % 1.11/1.33 (assume @p419 (forall @t639 (=> @t470 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t159 @t99) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t5 @t96))))) % 1.11/1.33 (assume @p420 (forall @t659 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t353 @t14) (= @t658 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t336)))))) % 1.11/1.33 (assume @p421 (forall @t13 (=> @t408 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t122 @t159) (tptp.hAPP (tptp.hAPP @t64 (tptp.c_Groups_Oplus__class_Oplus @t6 @t12 @t159)) (tptp.c_Groups_Ominus__class_Ominus @t6 @t12 @t159)))))) % 1.11/1.33 (assume @p422 (forall @t415 (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 @t47 @t414) @t42)) @t49))) % 1.11/1.33 (assume @p423 (forall @t505 (=> @t585 (= @t660 (= @t500 @t268))))) % 1.11/1.33 (assume @p424 (forall @t505 (=> @t585 (= @t660 (= @t265 @t506))))) % 1.11/1.33 (assume @p425 (forall @t348 (=> @t661 (= (tptp.hAPP @t345 (tptp.c_Groups_Ominus__class_Ominus @t53 @t15 @t135)) (tptp.c_Groups_Ominus__class_Ominus @t53 @t347 @t346))))) % 1.11/1.33 (assume @p426 (forall @t344 (=> @t661 (= (tptp.hAPP (tptp.hAPP @t55 (tptp.c_Groups_Ominus__class_Ominus @t53 @t4 @t15)) @t340) (tptp.c_Groups_Ominus__class_Ominus @t53 @t342 @t341))))) % 1.11/1.33 (assume @p427 (forall (@list @t135 @t52 @t62 @t6) (=> @t8 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t63 (tptp.c_Groups_Ominus__class_Ominus @t6 @t61 @t135)) (tptp.c_Groups_Ominus__class_Ominus @t6 @t240 @t135))))) % 1.11/1.33 (assume @p428 (forall @t638 (=> @t150 (= (= @t246 @t159) (or @t662 (= @t97 @t406)))))) % 1.11/1.33 (assume @p429 (forall @t13 (=> @t461 (= @t536 (tptp.hAPP (tptp.hAPP @t64 @t406) @t12))))) % 1.11/1.33 (assume @p430 (forall @t663 (=> @t137 (=> @t279 @t594)))) % 1.11/1.33 (assume @p431 (forall @t663 (=> @t137 (=> @t279 @t596)))) % 1.11/1.33 (assume @p432 (forall @t636 (=> @t248 (=> @t665 (=> @t664 @t517))))) % 1.11/1.33 (assume @p433 (forall @t636 (=> @t248 (=> @t665 (=> @t664 @t520))))) % 1.11/1.33 (assume @p434 (forall @t138 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t6) @t666))) % 1.11/1.33 (assume @p435 (forall @t138 (=> @t512 @t666))) % 1.11/1.33 (assume @p436 (forall @t138 (=> @t512 (=> @t476 (=> @t509 @t520))))) % 1.11/1.33 (assume @p437 (forall @t278 (=> @t248 (=> @t403 (=> @t667 @t633))))) % 1.11/1.33 (assume @p438 (forall @t278 (=> @t512 (=> @t403 (=> @t528 @t668))))) % 1.11/1.33 (assume @p439 (forall @t328 (=> @t248 (=> @t533 (= @t670 @t669))))) % 1.11/1.33 (assume @p440 (forall @t663 (=> @t512 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t374) @t671)))) % 1.11/1.33 (assume @p441 (forall @t278 (=> @t512 (=> @t633 @t671)))) % 1.11/1.33 (assume @p442 (forall @t278 (=> @t512 (=> @t525 (=> @t667 (tptp.c_Orderings_Oord__class_Oless @t6 @t374 @t145)))))) % 1.11/1.33 (assume @p443 (forall @t278 (=> @t512 (=> @t525 (=> @t667 @t668))))) % 1.11/1.33 (assume @p444 (forall @t278 (=> @t512 (=> @t525 (=> @t528 @t633))))) % 1.11/1.33 (assume @p445 (forall @t328 (=> @t248 (=> @t535 (= @t670 @t672))))) % 1.11/1.33 (assume @p446 (forall @t328 (=> @t248 (= @t670 @t673)))) % 1.11/1.33 (assume @p447 (forall @t674 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t270 @t267) @t673)))) % 1.11/1.33 (assume @p448 (forall @t11 (=> @t675 (not (tptp.c_Orderings_Oord__class_Oless @t6 @t93 @t145))))) % 1.11/1.33 (assume @p449 (forall @t138 (=> @t477 (=> @t525 @t677)))) % 1.11/1.33 (assume @p450 (forall @t151 (=> @t357 @t678))) % 1.11/1.33 (assume @p451 (forall @t154 (=> @t477 (not (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t145))))) % 1.11/1.33 (assume @p452 (forall @t154 (=> @t477 (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t159)))) % 1.11/1.33 (assume @p453 (forall @t278 (=> @t682 (=> (or (and @t402 @t681) (and @t680 @t539)) @t679)))) % 1.11/1.33 (assume @p454 (forall @t278 (=> @t504 (=> (or (and @t402 @t539) (and @t680 @t681)) @t683)))) % 1.11/1.33 (assume @p455 (forall @t228 (=> @t685 (=> @t508 (=> @t527 (=> @t539 @t684)))))) % 1.11/1.33 (assume @p456 (forall @t228 (=> @t685 (=> @t508 (=> @t527 (=> @t402 @t684)))))) % 1.11/1.33 (assume @p457 (forall @t636 (=> @t504 (=> @t635 (=> @t637 @t511))))) % 1.11/1.33 (assume @p458 (forall @t636 (=> @t504 (=> @t635 (=> @t637 @t513))))) % 1.11/1.33 (assume @p459 (forall @t138 (=> (tptp.class_Rings_Oordered__comm__semiring @t6) @t686))) % 1.11/1.33 (assume @p460 (forall @t138 (=> @t685 @t686))) % 1.11/1.33 (assume @p461 (forall @t138 (=> @t685 (=> @t508 (=> @t515 @t513))))) % 1.11/1.33 (assume @p462 (forall @t278 (=> @t504 (=> @t680 (=> @t681 @t683))))) % 1.11/1.33 (assume @p463 (forall @t278 (=> @t682 (=> @t680 (=> @t539 @t679))))) % 1.11/1.33 (assume @p464 (forall @t278 (=> @t682 (=> @t402 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t374 @t145)))))) % 1.11/1.33 (assume @p465 (forall @t278 (=> @t682 (=> @t402 (=> @t681 @t679))))) % 1.11/1.33 (assume @p466 (forall @t278 (=> @t682 (=> @t402 (=> @t539 @t683))))) % 1.11/1.33 (assume @p467 (forall @t281 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t280 @t145) @t689)))) % 1.11/1.33 (assume @p468 (forall @t281 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t280) @t690)))) % 1.11/1.33 (assume @p469 (forall @t11 (=> @t675 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t93)))) % 1.11/1.33 (assume @p470 (forall (@list @t14 @t83 @t6) (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t83) (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t14) (tptp.c_Orderings_Oord__class_Oless @t6 @t159 (tptp.hAPP @t691 @t14))))))) % 1.11/1.33 (assume @p471 (forall @t36 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t33) @t598))) % 1.11/1.33 (assume @p472 (forall @t36 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t37) (tptp.c_Int_OBit1 @t597)))) % 1.11/1.33 (assume @p473 (forall @t39 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t37) (tptp.c_Int_OBit0 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint tptp.c_Int_OPls @t32))))) % 1.11/1.33 (assume @p474 (forall @t81 (=> @t477 (=> @t525 (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t20))))) % 1.11/1.33 (assume @p475 (forall @t154 (=> @t477 (not (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t159 @t145))))) % 1.11/1.33 (assume @p476 (forall @t154 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t159)))) % 1.11/1.33 (assume @p477 (forall @t11 (=> @t477 (tptp.c_Orderings_Oord__class_Oless @t6 @t4 @t184)))) % 1.11/1.33 (assume @p478 (forall @t636 (=> @t544 (=> @t665 (=> @t664 @t692))))) % 1.11/1.33 (assume @p479 (forall @t138 (=> @t544 (=> @t476 (=> @t509 @t692))))) % 1.11/1.33 (assume @p480 (forall @t131 (=> @t544 (=> @t694 (=> @t542 @t693))))) % 1.11/1.33 (assume @p481 (forall @t131 (=> @t544 (=> @t694 (=> @t546 @t695))))) % 1.11/1.33 (assume @p482 (forall @t131 (=> @t544 (=> @t554 (=> @t542 @t695))))) % 1.11/1.33 (assume @p483 (forall @t131 (=> @t544 (=> @t554 (=> @t546 @t693))))) % 1.11/1.33 (assume @p484 (forall @t281 (=> @t628 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t217 @t145) (or (and @t698 @t697) (and @t462 @t696)))))) % 1.11/1.33 (assume @p485 (forall @t281 (=> @t628 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t217) (or (and @t698 @t696) (and @t462 @t697)))))) % 1.11/1.33 (assume @p486 (forall @t81 (=> @t477 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t20))))) % 1.11/1.33 (assume @p487 (forall @t24 (=> @t477 (=> @t508 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t20 @t18)))))) % 1.11/1.33 (assume @p488 (forall (@list @t249 @t212 @t146 @t6) (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t146) (= (= (tptp.hAPP @t148 @t212) @t252) @t699))))) % 1.11/1.33 (assume @p489 (forall @t138 (=> @t628 (=> @t508 (=> @t637 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t136 @t275)))))) % 1.11/1.33 (assume @p490 (forall @t138 (=> @t628 (=> @t508 (=> @t515 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t275 @t136)))))) % 1.11/1.33 (assume @p491 (forall @t281 (=> @t628 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t217 @t145) @t689)))) % 1.11/1.33 (assume @p492 (forall @t281 (=> @t628 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t217) @t690)))) % 1.11/1.33 (assume @p493 (forall @t81 (=> @t477 (=> @t559 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t159 @t20))))) % 1.11/1.33 (assume @p494 (forall (@list @t215 @t146 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t700 (tptp.hAPP @t702 @t146)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t701 (tptp.hAPP @t702 @t215))))) % 1.11/1.33 (assume @p495 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 tptp.c_Int_OPls) @t562))) % 1.11/1.33 (assume @p496 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t568 @t567) @t566))) % 1.11/1.33 (assume @p497 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 @t27) @t426))) % 1.11/1.33 (assume @p498 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t30 tptp.c_Int_OPls) @t562))) % 1.11/1.33 (assume @p499 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t30) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint tptp.c_Int_OPls @t29)))) % 1.11/1.33 (assume @p500 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t107) @t563))) % 1.11/1.33 (assume @p501 (forall @t709 (and (=> @t707 (= @t705 @t704)) (=> @t708 (and (=> @t706 (= @t705 @t561)) (=> (not @t706) (= @t705 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t62 @t703))))))))) % 1.11/1.33 (assume @p502 (forall @t569 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t572 @t571) @t570))) % 1.11/1.33 (assume @p503 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t30 @t106) @t456))) % 1.11/1.33 (assume @p504 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t30 tptp.c_Int_OPls) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t29 tptp.c_Int_OPls)))) % 1.11/1.33 (assume @p505 (forall @t31 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint tptp.c_Int_OPls @t30) @t563))) % 1.11/1.33 (assume @p506 (forall @t578 (= (= @t576 @t167) @t579))) % 1.11/1.33 (assume @p507 (forall @t578 (= (= @t167 @t576) @t579))) % 1.11/1.33 (assume @p508 (forall @t131 (=> @t461 (= (tptp.c_Groups_Ominus__class_Ominus @t6 (tptp.hAPP @t115 @t337) (tptp.hAPP @t127 @t337)) (tptp.hAPP (tptp.hAPP @t64 @t409) @t130))))) % 1.11/1.33 (assume @p509 (forall (@list @t14 @t91 @t6) (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t91) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t91 @t159) (tptp.c_Orderings_Oord__class_Oless__eq @t6 (tptp.hAPP (tptp.hAPP @t16 @t91) @t162) @t91)))))) % 1.11/1.33 (assume @p510 (forall @t294 (=> @t9 (=> @t287 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t12 @t298) (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t297 @t123) @t72)))))) % 1.11/1.33 (assume @p511 (forall @t294 (=> @t9 (=> @t287 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t293 @t123) (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t12 @t291) @t72)))))) % 1.11/1.33 (assume @p512 (forall @t289 (=> @t9 (=> @t288 (=> @t287 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t134 @t286) (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t133 @t285) @t284))))))) % 1.11/1.33 (assume @p513 (forall @t131 (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t120 @t128) (=> @t710 @t449))))) % 1.11/1.33 (assume @p514 (forall (@list @t711 @t220 @t135 @t15 @t4 @t6) (=> (tptp.class_RealVector_Oreal__field @t6) (= (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t76 (tptp.hAPP @t317 @t220)) @t711) (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t75 (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t15 @t220) @t711)) (tptp.hAPP (tptp.hAPP @t64 (tptp.c_Rings_Oinverse__class_Odivide @t6 (tptp.c_Groups_Ominus__class_Ominus @t6 @t4 @t135) @t711)) @t220)))))) % 1.11/1.33 (assume @p515 (forall @t81 (=> @t408 (= (tptp.hAPP @t712 @t14) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t407 @t14)) @t20))))) % 1.11/1.33 (assume @p516 (forall @t101 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t247) @t713)))) % 1.11/1.33 (assume @p517 (forall @t131 (=> @t675 (not (tptp.c_Orderings_Oord__class_Oless @t6 @t714 @t145))))) % 1.11/1.33 (assume @p518 (forall @t154 (=> @t477 (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t177)))) % 1.11/1.33 (assume @p519 (forall @t101 (=> @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t247 @t145) @t244)))) % 1.11/1.33 (assume @p520 (forall @t131 (=> @t675 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t714)))) % 1.11/1.33 (assume @p521 (forall @t131 (=> @t357 (=> @t551 (=> @t710 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq @t6 (tptp.hAPP @t132 @t12) @t12))))))) % 1.11/1.33 (assume @p522 (forall @t131 (=> @t357 (=> @t551 (=> @t710 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t142 @t12))))))) % 1.11/1.33 (assume @p523 (forall @t331 (=> @t628 (= @t718 (and (=> @t535 @t717) (=> @t625 (and (=> @t533 @t716) (=> @t623 @t462)))))))) % 1.11/1.33 (assume @p524 (forall @t330 (=> @t628 (= @t719 (and (=> @t535 @t716) (=> @t625 (and (=> @t533 @t717) (=> @t623 @t698)))))))) % 1.11/1.33 (assume @p525 (forall @t328 (=> @t544 (=> @t535 (= @t718 @t717))))) % 1.11/1.33 (assume @p526 (forall @t325 (=> @t544 (=> @t535 (= @t719 @t716))))) % 1.11/1.33 (assume @p527 (forall @t296 (=> @t544 (=> @t546 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t12 @t291) (tptp.c_Orderings_Oord__class_Oless @t6 @t134 @t72)))))) % 1.11/1.33 (assume @p528 (forall @t299 (=> @t544 (=> @t546 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t291 @t12) (tptp.c_Orderings_Oord__class_Oless @t6 @t72 @t134)))))) % 1.11/1.33 (assume @p529 (forall @t328 (=> @t544 (=> @t533 (= @t718 @t716))))) % 1.11/1.33 (assume @p530 (forall @t325 (=> @t544 (=> @t533 (= @t719 @t717))))) % 1.11/1.33 (assume @p531 (forall @t636 (=> @t544 (=> @t665 (=> @t509 @t720))))) % 1.11/1.33 (assume @p532 (forall @t138 (=> @t544 (=> @t476 (=> @t664 @t720))))) % 1.11/1.33 (assume @p533 (forall @t81 (=> @t477 (=> @t479 (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t78))))) % 1.11/1.33 (assume @p534 (forall @t81 (=> @t477 (=> @t479 (tptp.c_Orderings_Oord__class_Oless @t6 @t20 @t78))))) % 1.11/1.33 (assume @p535 (forall @t278 (=> @t544 (=> @t476 (tptp.c_Orderings_Oord__class_Oless @t6 @t721 @t15))))) % 1.11/1.33 (assume @p536 (forall @t278 (=> @t544 (=> @t476 (tptp.c_Orderings_Oord__class_Oless @t6 @t4 @t721))))) % 1.11/1.33 (assume @p537 (forall @t540 (=> @t477 (=> (= @t350 @t722) (=> @t402 (=> @t539 @t222)))))) % 1.11/1.33 (assume @p538 (forall @t540 (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t350 @t722) (=> @t539 @t508))))) % 1.11/1.33 (assume @p539 (forall @t81 (=> @t477 (=> @t479 (tptp.c_Orderings_Oord__class_Oless @t6 @t159 @t350))))) % 1.11/1.33 (assume @p540 (forall (@list @t249 @t146 @t495 @t494 @t6) (= (tptp.hAPP @t496 @t723) (tptp.hAPP (tptp.hAPP @t495 @t146) (tptp.hAPP @t496 @t249))))) % 1.11/1.33 (assume @p541 (forall @t176 (= (tptp.hAPP @t485 @t52) (tptp.hAPP (tptp.hAPP @t44 @t52) @t72)))) % 1.11/1.33 (assume @p542 (forall @t208 (= (tptp.hAPP (tptp.hAPP @t44 (tptp.hAPP @t725 @t192)) @t205) (tptp.hAPP @t725 (tptp.hAPP @t724 @t205))))) % 1.11/1.33 (assume @p543 (forall @t727 (=> @t726 (= (= (tptp.hAPP (tptp.hAPP @t44 @t146) @t265) (tptp.hAPP (tptp.hAPP @t44 @t215) @t265)) @t216)))) % 1.11/1.33 (assume @p544 (forall @t727 (=> @t726 (= (= (tptp.hAPP @t728 @t146) (tptp.hAPP @t728 @t215)) @t216)))) % 1.11/1.33 (assume @p545 (forall @t165 (= (tptp.hAPP (tptp.hAPP @t44 @t455) @t72) @t72))) % 1.11/1.33 (assume @p546 (forall @t163 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 (tptp.hAPP @t729 @t14)))) % 1.11/1.33 (assume @p547 (forall @t81 (=> @t477 (=> @t525 (=> @t640 (tptp.c_Orderings_Oord__class_Oless @t6 @t78 @t20)))))) % 1.11/1.33 (assume @p548 (forall @t386 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t379 @t146) (and (=> @t651 @t731) (=> @t652 (and (=> @t648 @t730) (=> @t649 @t698)))))))) % 1.11/1.33 (assume @p549 (forall @t385 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t321 @t103) (and (=> @t535 @t733) (=> @t625 (and (=> @t533 @t732) (=> @t623 @t651)))))))) % 1.11/1.33 (assume @p550 (forall @t384 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t103 @t321) (and (=> @t535 @t732) (=> @t625 (and (=> @t533 @t733) (=> @t623 @t648)))))))) % 1.11/1.33 (assume @p551 (forall @t381 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t379) (and (=> @t651 @t730) (=> @t652 (and (=> @t648 @t731) (=> @t649 @t462)))))))) % 1.11/1.33 (assume @p552 (forall @t647 (=> (tptp.class_Rings_Olinordered__semiring__1 @t6) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t12 @t4) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t123 @t4) (=> @t646 (=> @t645 (=> @t644 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t643 @t4))))))))) % 1.11/1.33 (assume @p553 (forall @t81 (=> @t477 (=> @t525 (=> @t640 (tptp.c_Orderings_Oord__class_Oless @t6 @t350 @t159)))))) % 1.11/1.33 (assume @p554 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t42)) % 1.11/1.33 (assume @p555 (forall @t709 (and (=> @t707 (= @t736 @t167)) (=> @t708 (= @t736 @t734))))) % 1.11/1.33 (assume @p556 (forall (@list @t34 @t703 @t62) (and (=> @t707 (= @t737 @t167)) (=> @t708 (= @t737 (tptp.hAPP (tptp.hAPP @t85 @t734) @t34)))))) % 1.11/1.33 (assume @p557 (forall @t158 (=> @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t738 @t123)))) % 1.11/1.33 (assume @p558 (forall @t158 (=> @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t738)))) % 1.11/1.33 (assume @p559 (forall @t11 (=> @t408 (= (tptp.hAPP @t712 @t42) @t109)))) % 1.11/1.33 (assume @p560 (forall @t163 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t42) (or @t168 (= @t14 @t198))))) % 1.11/1.33 (assume @p561 (forall (@list @t34 @t4 @t6) (=> @t357 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 (tptp.hAPP @t19 (tptp.hAPP @t111 @t34)) @t145) @t180)))) % 1.11/1.33 (assume @p562 (forall @t151 (=> @t150 (= (= @t149 @t159) (or (= @t146 @t159) (= @t146 @t406)))))) % 1.11/1.33 (assume @p563 (forall @t81 (=> @t408 (= (tptp.hAPP @t712 @t112) @t113)))) % 1.11/1.33 (assume @p564 (forall (@list @t91 @t6) (=> @t739 (=> (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t91) (tptp.c_Orderings_Oord__class_Oless @t6 @t145 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t91 @t124)))))) % 1.11/1.33 (assume @p565 (forall (@list @t740 @t6) (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t740 @t124)) (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t740))))) % 1.11/1.33 (assume @p566 (forall @t151 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t149) (not @t147))))) % 1.11/1.33 (assume @p567 (forall @t11 (=> @t357 (not (tptp.c_Orderings_Oord__class_Oless @t6 @t109 @t145))))) % 1.11/1.33 (assume @p568 (forall (@list @t4 @t15) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t15 @t4) @t43) @t4) @t741))) % 1.11/1.33 (assume @p569 (forall @t742 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t4 @t15) @t43) @t4) @t741))) % 1.11/1.33 (assume @p570 (forall @t131 (=> @t477 (=> (= @t120 @t128) (=> @t551 (=> @t710 @t450)))))) % 1.11/1.33 (assume @p571 (forall @t131 (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t120 @t128) (=> @t710 @t550))))) % 1.11/1.33 (assume @p572 (forall @t11 (=> @t357 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t109)))) % 1.11/1.33 (assume @p573 (forall @t172 (=> @t408 (= (tptp.hAPP @t407 @t112) @t159)))) % 1.11/1.33 (assume @p574 (forall @t101 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t356) @t713)))) % 1.11/1.33 (assume @p575 (forall @t131 (=> @t357 (not (tptp.c_Orderings_Oord__class_Oless @t6 @t129 @t145))))) % 1.11/1.33 (assume @p576 (forall @t101 (=> @t357 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t356 @t145) @t244)))) % 1.11/1.33 (assume @p577 (forall @t131 (=> @t357 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t129)))) % 1.11/1.33 (assume @p578 (forall @t81 (=> @t357 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t113)))) % 1.11/1.33 (assume @p579 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t44 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t194 @t192)) @t52) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t725 @t52) (tptp.hAPP @t724 @t52))))) % 1.11/1.33 (assume @p580 (forall @t396 (= (= @t743 @t393) @t395))) % 1.11/1.33 (assume @p581 (forall @t154 (=> @t739 (tptp.c_Orderings_Oord__class_Oless @t6 @t145 (tptp.c_Rings_Oinverse__class_Odivide @t6 @t159 @t124))))) % 1.11/1.33 (assume @p582 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t592)) % 1.11/1.33 (assume @p583 (forall (@list @t83 @t14 @t6) (=> @t170 (and (=> @t168 (= @t745 @t159)) (=> @t169 (= @t745 (tptp.hAPP @t691 (tptp.hAPP @t744 @t471)))))))) % 1.11/1.33 (assume @p584 (forall @t163 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t162))) % 1.11/1.33 (assume @p585 (forall @t396 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t746 @t97) @t43)))) % 1.11/1.33 (assume @p586 (forall @t396 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t746 @t97) @t43)))) % 1.11/1.33 (assume @p587 (forall @t750 (=> @t749 (=> @t748 (=> @t747 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t139 @t164)))))) % 1.11/1.33 (assume @p588 (forall @t750 (=> @t749 (=> @t748 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t91 @t4) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 @t139)))))) % 1.11/1.33 (assume @p589 (forall @t163 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t167)))) % 1.11/1.33 (assume @p590 (forall @t601 (=> @t439 @t751))) % 1.11/1.33 (assume @p591 (forall @t163 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t162))) % 1.11/1.33 (assume @p592 (forall @t163 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t167 @t14))) % 1.11/1.33 (assume @p593 (= (tptp.c_NthRoot_Osqrt @t455) @t455)) % 1.11/1.33 (assume @p594 (forall @t753 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t455 @t752) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t455 @t96)))) % 1.11/1.33 (assume @p595 (forall @t753 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 @t752) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 @t96)))) % 1.11/1.33 (assume @p596 (forall @t614 (= (= @t754 @t455) (= @t97 @t455)))) % 1.11/1.33 (assume @p597 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t754 @t455) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t97 @t455)))) % 1.11/1.33 (assume @p598 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t754 @t455) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t97 @t455)))) % 1.11/1.33 (assume @p599 (forall @t51 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455 @t755)))) % 1.11/1.33 (assume @p600 (forall @t163 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t14)))) % 1.11/1.33 (assume @p601 (forall @t163 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t14))) % 1.11/1.33 (assume @p602 (forall @t82 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t52 @t52))) % 1.11/1.33 (assume @p603 (forall @t611 (= @t758 (or @t757 @t756)))) % 1.11/1.33 (assume @p604 (forall @t601 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t641 @t83))) % 1.11/1.33 (assume @p605 (forall @t601 (or @t478 @t642))) % 1.11/1.33 (assume @p606 (forall @t176 (or @t760 @t759))) % 1.11/1.33 (assume @p607 (forall @t611 (= @t757 (and @t761 @t758)))) % 1.11/1.33 (assume @p608 (forall @t396 (= @t489 (and @t431 (not @t98))))) % 1.11/1.33 (assume @p609 (forall @t611 (= @t761 @t762))) % 1.11/1.33 (assume @p610 (forall @t396 (= @t431 (or @t489 @t98)))) % 1.11/1.33 (assume @p611 (forall @t445 (= @t764 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t34) @t443)))) % 1.11/1.33 (assume @p612 (forall @t158 (=> @t451 (=> (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t123)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t12))))) % 1.11/1.33 (assume @p613 (forall @t659 (=> @t767 @t766))) % 1.11/1.33 (assume @p614 (forall (@list @t768 @t454) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t768) (not (= @t454 @t768))))) % 1.11/1.33 (assume @p615 (forall @t601 (=> @t765 @t478))) % 1.11/1.33 (assume @p616 (forall @t601 (=> @t439 @t478))) % 1.11/1.33 (assume @p617 (forall (@list @t14 @t34 @t443) (=> @t769 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t14) @t34)))) % 1.11/1.33 (assume @p618 (forall @t772 (=> @t478 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t771 @t770)))) % 1.11/1.33 (assume @p619 (forall @t772 (=> @t478 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t32) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t32))))) % 1.11/1.33 (assume @p620 (forall @t612 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t14) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t440)) @t440)))) % 1.11/1.33 (assume @p621 (forall @t601 (=> @t478 (=> @t766 @t439)))) % 1.11/1.33 (assume @p622 (forall @t445 (=> @t773 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t443 @t34) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t34))))) % 1.11/1.33 (assume @p623 (forall @t445 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t440 @t443) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t443 @t34) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t440 @t34))))) % 1.11/1.33 (assume @p624 (forall @t601 (=> @t478 (=> @t642 @t765)))) % 1.11/1.33 (assume @p625 (forall @t176 (=> @t760 (=> @t759 @t774)))) % 1.11/1.33 (assume @p626 (forall (@list @t135 @t15 @t4) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t4 @t15) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t135 @t4) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t4 @t135) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t15 @t135)))))) % 1.11/1.33 (assume @p627 (forall @t772 (=> @t439 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t83 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t771 @t770))))) % 1.11/1.33 (assume @p628 (forall @t779 (=> @t778 (=> @t777 (= (= @t776 @t775) @t699))))) % 1.11/1.33 (assume @p629 (forall @t781 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t34 @t83) (=> @t780 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t34) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t34)) @t641))))) % 1.11/1.33 (assume @p630 (forall @t779 (=> @t778 (=> @t777 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t776 @t775) @t757))))) % 1.11/1.33 (assume @p631 (forall @t779 (=> @t778 (=> @t777 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t776 @t775) @t761))))) % 1.11/1.33 (assume @p632 (forall @t601 (=> (or @t439 @t765) @t478))) % 1.11/1.33 (assume @p633 (forall (@list @t782 @t249 @t212) (=> (=> @t757 @t783) (=> (=> @t699 @t783) (=> (=> @t756 @t783) @t783))))) % 1.11/1.33 (assume @p634 (forall @t176 (=> @t785 (=> @t784 @t774)))) % 1.11/1.33 (assume @p635 (forall @t445 (=> @t446 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t443 @t34) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t440 @t34))))) % 1.11/1.33 (assume @p636 (forall @t158 (=> @t493 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t755 @t786)))) % 1.11/1.33 (assume @p637 (forall @t158 (=> @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t755 @t786)))) % 1.11/1.33 (assume @p638 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t754 @t752) @t431))) % 1.11/1.33 (assume @p639 (forall @t396 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t754 @t752) @t489))) % 1.11/1.33 (assume @p640 (forall @t158 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t123) @t450 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t123 @t12)))) % 1.11/1.33 (assume @p641 (forall (@list @t102 @t114) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t102) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t114 @t102) (not (= @t114 @t102)))))) % 1.11/1.33 (assume @p642 (forall @t176 (or @t785 @t784))) % 1.11/1.33 (assume @p643 (forall @t51 (= (tptp.c_NthRoot_Osqrt @t787) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t755)))) % 1.11/1.33 (assume @p644 (forall @t165 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t417) @t72))) % 1.11/1.33 (assume @p645 (forall @t82 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t52 @t52))) % 1.11/1.33 (assume @p646 (forall @t396 (= (= @t754 @t752) @t98))) % 1.11/1.33 (assume @p647 (forall @t51 (=> @t790 (=> @t789 @t788)))) % 1.11/1.33 (assume @p648 (forall @t51 (=> @t790 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t755)))) % 1.11/1.33 (assume @p649 (forall @t51 (=> @t488 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t755)))) % 1.11/1.33 (assume @p650 (forall @t51 (=> @t488 (not @t789)))) % 1.11/1.33 (assume @p651 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t754 @t393) @t492))) % 1.11/1.33 (assume @p652 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t754 @t393) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t97 @t393)))) % 1.11/1.33 (assume @p653 (forall @t614 (= (= @t754 @t393) @t394))) % 1.11/1.33 (assume @p654 (forall @t753 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t752) @t491))) % 1.11/1.33 (assume @p655 (forall @t753 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t752) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t96)))) % 1.11/1.33 (assume @p656 (= (tptp.c_NthRoot_Osqrt @t393) @t393)) % 1.11/1.33 (assume @p657 (forall @t158 (= (tptp.c_NthRoot_Osqrt @t487) (tptp.hAPP (tptp.hAPP @t44 @t755) @t786)))) % 1.11/1.33 (assume @p658 (forall (@list @t34 @t12) (= (tptp.c_NthRoot_Osqrt (tptp.hAPP @t48 @t34)) (tptp.hAPP @t791 @t34)))) % 1.11/1.33 (assume @p659 (forall @t158 (= (tptp.c_NthRoot_Osqrt (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t12 @t123)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t755 @t786)))) % 1.11/1.33 (assume @p660 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t792))) % 1.11/1.33 (assume @p661 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t792))) % 1.11/1.33 (assume @p662 (forall @t794 (= @t251 @t793))) % 1.11/1.33 (assume @p663 (forall @t163 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t167 @t14) @t167))) % 1.11/1.33 (assume @p664 (forall @t795 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t249 @t212)) @t757))) % 1.11/1.33 (assume @p665 (forall @t796 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t167) @t83))) % 1.11/1.33 (assume @p666 (forall @t794 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t167) @t250))) % 1.11/1.33 (assume @p667 (forall @t796 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t83) @t167))) % 1.11/1.33 (assume @p668 (forall @t611 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t212 @t249) @t167) @t761))) % 1.11/1.33 (assume @p669 (forall @t659 (=> @t473 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t83) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t83))))) % 1.11/1.33 (assume @p670 (forall @t601 (=> @t439 @t169))) % 1.11/1.33 (assume @p671 (forall @t601 (=> @t478 @t797))) % 1.11/1.33 (assume @p672 (forall @t601 (=> @t797 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t83) @t167) @t765)))) % 1.11/1.33 (assume @p673 (forall @t163 (=> @t169 @t473))) % 1.11/1.33 (assume @p674 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t305)) % 1.11/1.33 (assume @p675 (forall @t158 (=> (= (tptp.c_Nat_OSuc @t12) (tptp.c_Nat_OSuc @t123)) @t450))) % 1.11/1.33 (assume @p676 (forall (@list @t798 @t799) (= (= (tptp.c_Nat_OSuc @t799) (tptp.c_Nat_OSuc @t798)) (= @t799 @t798)))) % 1.11/1.33 (assume @p677 (forall @t163 (not (= @t162 @t14)))) % 1.11/1.33 (assume @p678 (forall @t163 (not (= @t14 @t162)))) % 1.11/1.33 (assume @p679 (forall @t601 (=> @t800 @t478))) % 1.11/1.33 (assume @p680 (forall @t601 (=> @t801 (=> (not @t478) (= @t83 @t162))))) % 1.11/1.33 (assume @p681 (forall @t601 (=> @t478 @t801))) % 1.11/1.33 (assume @p682 (forall @t795 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t723 @t802) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t212)))) % 1.11/1.33 (assume @p683 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t212 @t723) (or @t761 (= @t212 @t723))))) % 1.11/1.33 (assume @p684 (forall @t611 (= (not @t761) @t803))) % 1.11/1.33 (assume @p685 (forall @t163 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 @t14)))) % 1.11/1.33 (assume @p686 (forall @t601 (=> @t751 @t439))) % 1.11/1.33 (assume @p687 (forall @t601 (=> @t804 @t439))) % 1.11/1.33 (assume @p688 (forall @t601 (=> @t806 (=> @t805 @t765)))) % 1.11/1.33 (assume @p689 (forall @t445 (=> @t808 (=> @t769 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t807 @t34))))) % 1.11/1.33 (assume @p690 (forall @t601 (=> @t439 (=> (not (= @t657 @t14)) @t804)))) % 1.11/1.33 (assume @p691 (forall @t601 (=> @t439 @t806))) % 1.11/1.33 (assume @p692 (forall @t659 (=> (not @t767) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t657) @t765)))) % 1.11/1.33 (assume @p693 (forall @t795 (=> (not @t756) @t810))) % 1.11/1.33 (assume @p694 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t802 @t723) @t757))) % 1.11/1.33 (assume @p695 (forall @t611 (= @t811 @t762))) % 1.11/1.33 (assume @p696 (forall @t611 (= (not @t757) @t809))) % 1.11/1.33 (assume @p697 (forall @t812 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t658 (tptp.c_Nat_OSuc @t34)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t641 @t34)))) % 1.11/1.33 (assume @p698 (forall @t601 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t657 @t162) @t641))) % 1.11/1.33 (assume @p699 (forall @t601 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t657))) % 1.11/1.33 (assume @p700 (forall @t795 (= @t756 @t803))) % 1.11/1.33 (assume @p701 (forall @t611 (= @t811 @t761))) % 1.11/1.33 (assume @p702 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t802 @t249) @t757))) % 1.11/1.33 (assume @p703 (forall @t601 (=> @t478 @t806))) % 1.11/1.33 (assume @p704 (forall @t601 (=> @t439 @t800))) % 1.11/1.33 (assume @p705 (forall @t611 (=> @t761 @t810))) % 1.11/1.33 (assume @p706 (forall @t659 (=> @t642 (= @t658 (tptp.c_Nat_OSuc @t641))))) % 1.11/1.33 (assume @p707 (forall @t601 (=> @t800 @t439))) % 1.11/1.33 (assume @p708 (forall (@list @t443 @t440) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t813 @t440)))) % 1.11/1.33 (assume @p709 (forall (@list @t440 @t443) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t814 @t440)))) % 1.11/1.33 (assume @p710 (forall @t659 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t351))) % 1.11/1.33 (assume @p711 (forall @t659 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t815))) % 1.11/1.33 (assume @p712 (forall @t108 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t26) (exists (@list @t816) (= @t26 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t816)))))) % 1.11/1.33 (assume @p713 (forall @t611 (= @t761 (exists @t819 (= @t249 @t818))))) % 1.11/1.33 (assume @p714 (forall @t601 (= @t351 @t815))) % 1.11/1.33 (assume @p715 (forall @t823 (=> @t822 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t821) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t820 @t443))))) % 1.11/1.33 (assume @p716 (forall @t191 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t190) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t72))))) % 1.11/1.33 (assume @p717 (forall @t828 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t825 @t827) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t826 @t824)))) % 1.11/1.33 (assume @p718 (forall @t601 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t351 @t14) @t83))) % 1.11/1.33 (assume @p719 (forall @t659 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t815 @t14) @t83))) % 1.11/1.33 (assume @p720 (forall @t812 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t351 @t34) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t829)))) % 1.11/1.33 (assume @p721 (forall @t445 (= @t764 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t440 @t830)))) % 1.11/1.33 (assume @p722 (forall (@list @t825 @t29 @t824) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t827 @t825) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t824 @t826)))) % 1.11/1.33 (assume @p723 (forall @t779 (= (= @t832 @t831) @t699))) % 1.11/1.33 (assume @p724 (forall @t833 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t212 @t29) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t249 @t29)) @t699))) % 1.11/1.33 (assume @p725 (forall @t781 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t835 @t834) @t641))) % 1.11/1.33 (assume @p726 (forall @t837 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t836 @t829) @t641))) % 1.11/1.33 (assume @p727 (forall @t779 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t832 @t831) @t757))) % 1.11/1.33 (assume @p728 (forall @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t832 @t831) @t761))) % 1.11/1.33 (assume @p729 (forall @t601 (=> @t805 @t838))) % 1.11/1.33 (assume @p730 (forall @t840 (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t839)))) % 1.11/1.33 (assume @p731 (forall @t840 (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t841)))) % 1.11/1.33 (assume @p732 (forall @t840 (=> @t773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t839)))) % 1.11/1.33 (assume @p733 (forall @t840 (=> @t773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t440 @t841)))) % 1.11/1.33 (assume @p734 (forall (@list @t83 @t14 @t34) (=> @t780 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t83 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t815 @t34))))) % 1.11/1.33 (assume @p735 (forall @t445 (=> @t808 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t820 @t830)))) % 1.11/1.33 (assume @p736 (forall @t445 (=> @t773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t820 @t830)))) % 1.11/1.33 (assume @p737 (forall @t659 (=> @t642 @t838))) % 1.11/1.33 (assume @p738 (forall @t823 (=> @t822 (= @t843 @t842)))) % 1.11/1.33 (assume @p739 (forall (@list @t825 @t824 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t824) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t825 @t827) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t826 @t824))))) % 1.11/1.33 (assume @p740 (forall @t659 (=> @t642 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t641 @t14) @t83)))) % 1.11/1.33 (assume @p741 (forall @t828 (=> @t845 (= (= @t844 @t29) (= @t824 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t825)))))) % 1.11/1.33 (assume @p742 (forall @t823 (=> @t822 (= @t842 @t843)))) % 1.11/1.33 (assume @p743 (forall @t823 (=> @t822 (= @t847 @t846)))) % 1.11/1.33 (assume @p744 (forall @t823 (=> @t822 (= @t846 @t847)))) % 1.11/1.33 (assume @p745 (forall @t850 (=> @t808 (=> @t849 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t820 @t848))))) % 1.11/1.33 (assume @p746 (forall @t850 (=> @t773 (=> @t851 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t820 @t848))))) % 1.11/1.33 (assume @p747 (forall (@list @t14 @t83 @t32 @t34) (=> @t849 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t32) @t834) @t439)))) % 1.11/1.33 (assume @p748 (forall @t445 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t813 @t34) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 @t34)))) % 1.11/1.33 (assume @p749 (forall @t837 (=> @t852 @t780))) % 1.11/1.33 (assume @p750 (forall @t837 (=> @t852 @t478))) % 1.11/1.33 (assume @p751 (forall @t837 (=> @t852 (not (=> @t478 (not @t780)))))) % 1.11/1.33 (assume @p752 (forall @t601 (= @t87 @t854))) % 1.11/1.33 (assume @p753 (forall @t812 (= (tptp.hAPP (tptp.hAPP @t85 @t87) @t34) (tptp.hAPP @t86 @t855)))) % 1.11/1.33 (assume @p754 (forall @t796 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t83 @t856))) % 1.11/1.33 (assume @p755 (forall @t796 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t83 (tptp.hAPP @t86 @t856)))) % 1.11/1.33 (assume @p756 (forall @t445 (=> @t773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t860 @t858)))) % 1.11/1.33 (assume @p757 (forall @t445 (=> @t773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t863 @t862)))) % 1.11/1.33 (assume @p758 (forall @t850 (=> @t773 (=> @t851 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t860 (tptp.hAPP @t857 @t32)))))) % 1.11/1.33 (assume @p759 (forall @t781 (= (tptp.hAPP @t861 @t641) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t865 @t864)))) % 1.11/1.33 (assume @p760 (forall @t812 (= (tptp.hAPP (tptp.hAPP @t85 @t641) @t34) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t866 @t855)))) % 1.11/1.33 (assume @p761 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t455 @t867)) % 1.11/1.33 (assume @p762 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t867)) % 1.11/1.33 (assume @p763 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t867)) % 1.11/1.33 (assume @p764 (forall @t614 (= (= (tptp.hAPP (tptp.hAPP @t47 @t754) @t42) @t97) @t490))) % 1.11/1.33 (assume @p765 (forall @t51 (=> @t790 (= @t868 @t12)))) % 1.11/1.33 (assume @p766 (forall @t870 (=> (= @t155 @t12) (=> @t869 (= @t755 @t123))))) % 1.11/1.33 (assume @p767 (forall @t51 (=> @t488 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t868)))) % 1.11/1.33 (assume @p768 (forall (@list @t414) (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t414 @t867) @t414)))) % 1.11/1.33 (assume @p769 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t872))) % 1.11/1.33 (assume @p770 (forall @t870 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t123 @t872))) % 1.11/1.33 (assume @p771 (forall (@list @t220 @t15 @t135 @t4) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t47 @t874) @t42) (tptp.hAPP (tptp.hAPP @t47 @t873) @t42))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t47 @t4) @t42) (tptp.hAPP (tptp.hAPP @t47 @t15) @t42))) (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t47 @t135) @t42) (tptp.hAPP (tptp.hAPP @t47 @t220) @t42))))))) % 1.11/1.33 (assume @p772 (forall @t158 (=> (= @t872 @t12) (= @t123 @t393)))) % 1.11/1.33 (assume @p773 (forall @t158 (=> (= @t872 @t123) @t788))) % 1.11/1.33 (assume @p774 (forall @t158 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t872))) % 1.11/1.33 (assume @p775 (forall @t879 (= (tptp.hAPP (tptp.hAPP @t47 @t878) @t42) @t877))) % 1.11/1.33 (assume @p776 (forall @t796 (not (= @t657 @t167)))) % 1.11/1.33 (assume @p777 (forall @t796 (not (= @t167 @t657)))) % 1.11/1.33 (assume @p778 (forall (@list @t880) (not (= (tptp.c_Nat_OSuc @t880) @t167)))) % 1.11/1.33 (assume @p779 (forall (@list @t881) (not (= @t167 (tptp.c_Nat_OSuc @t881))))) % 1.11/1.33 (assume @p780 (forall @t611 (= @t811 (or @t213 (exists (@list @t882) (and (= @t212 (tptp.c_Nat_OSuc @t882)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t882 @t249))))))) % 1.11/1.33 (assume @p781 (forall @t794 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t198) @t250))) % 1.11/1.33 (assume @p782 (forall @t794 (= @t793 (exists (@list @t883) (= @t249 (tptp.c_Nat_OSuc @t883)))))) % 1.11/1.33 (assume @p783 (forall @t163 (=> @t473 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t198)) @t14)))) % 1.11/1.33 (assume @p784 (forall (@list @t440 @t14) (=> @t473 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t807) @t14)))) % 1.11/1.33 (assume @p785 (forall @t891 (= @t890 (not (or (and @t889 (not @t888)) (exists @t887 (and @t886 (not @t885)))))))) % 1.11/1.33 (assume @p786 (forall @t891 (= @t890 (and (=> @t889 @t888) (forall @t887 (=> @t886 @t885)))))) % 1.11/1.33 (assume @p787 (forall @t163 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t167 @t14) @t14))) % 1.11/1.33 (assume @p788 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t893) (or @t892 @t793)))) % 1.11/1.33 (assume @p789 (forall @t796 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t167) @t83))) % 1.11/1.33 (assume @p790 (forall @t659 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t815) @t167))) % 1.11/1.33 (assume @p791 (forall @t611 (= (= @t893 @t167) (and @t213 @t250)))) % 1.11/1.33 (assume @p792 (forall @t601 (=> (= @t351 @t83) @t168))) % 1.11/1.33 (assume @p793 (forall @t601 (= @t895 @t894))) % 1.11/1.33 (assume @p794 (forall @t601 (= @t895 @t896))) % 1.11/1.33 (assume @p795 (forall @t601 (= @t894 @t896))) % 1.11/1.33 (assume @p796 (forall @t611 (= @t757 (exists @t819 (= @t249 (tptp.c_Nat_OSuc @t818)))))) % 1.11/1.33 (assume @p797 (forall @t897 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t440))))) % 1.11/1.33 (assume @p798 (forall @t897 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t440 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t440 @t83))))) % 1.11/1.33 (assume @p799 (forall @t900 (=> @t822 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 @t899) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t836 @t898))))) % 1.11/1.33 (assume @p800 (forall @t900 (=> @t822 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t899 @t83) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t898 @t835))))) % 1.11/1.33 (assume @p801 (forall @t163 (= (tptp.hAPP (tptp.hAPP @t85 @t167) @t14) @t167))) % 1.11/1.33 (assume @p802 (forall @t796 (= (tptp.hAPP @t86 @t167) @t167))) % 1.11/1.33 (assume @p803 (forall @t611 (= (= @t902 @t167) (or @t213 @t250)))) % 1.11/1.33 (assume @p804 (forall @t779 (= @t908 @t904))) % 1.11/1.33 (assume @p805 (forall @t833 (= (= @t910 @t909) @t904))) % 1.11/1.33 (assume @p806 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t902) (and @t892 @t793)))) % 1.11/1.33 (assume @p807 (forall @t779 (= @t913 @t912))) % 1.11/1.33 (assume @p808 (forall @t833 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t910 @t909) @t912))) % 1.11/1.33 (assume @p809 (forall @t445 (=> @t808 (=> @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t860 @t858))))) % 1.11/1.33 (assume @p810 (forall @t445 (=> @t808 (=> @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t863 @t862))))) % 1.11/1.33 (assume @p811 (forall @t833 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t910 @t909) @t915))) % 1.11/1.33 (assume @p812 (forall @t779 (= @t916 @t915))) % 1.11/1.33 (assume @p813 (forall @t779 (= (= @t919 @t918) @t699))) % 1.11/1.33 (assume @p814 (forall @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t919 @t918) @t761))) % 1.11/1.33 (assume @p815 (forall @t779 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t919 @t918) @t757))) % 1.11/1.33 (assume @p816 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t164)) % 1.11/1.33 (assume @p817 (forall @t158 (=> @t593 (=> @t920 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t123)))))) % 1.11/1.33 (assume @p818 (forall @t158 (=> @t593 (=> @t920 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.hAPP (tptp.hAPP @t67 @t12) @t123)))))) % 1.11/1.33 (assume @p819 (forall @t163 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t161) @t14))) % 1.11/1.33 (assume @p820 (forall @t781 (= (tptp.hAPP @t861 @t351) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t865 @t864)))) % 1.11/1.33 (assume @p821 (forall @t812 (= (tptp.hAPP (tptp.hAPP @t85 @t351) @t34) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t866 @t855)))) % 1.11/1.33 (assume @p822 (forall @t163 (= (tptp.hAPP (tptp.hAPP @t85 @t161) @t14) @t14))) % 1.11/1.33 (assume @p823 (forall @t611 (= (= @t161 @t902) @t921))) % 1.11/1.33 (assume @p824 (forall @t163 (= (tptp.hAPP @t853 @t161) @t14))) % 1.11/1.33 (assume @p825 (forall @t611 (= (= @t902 @t161) @t921))) % 1.11/1.33 (assume @p826 (forall @t879 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t878))) % 1.11/1.33 (assume @p827 (forall (@list @t14 @t12) (=> @t593 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.hAPP @t188 @t14))))) % 1.11/1.33 (assume @p828 (forall (@list @t123 @t12 @t414) (=> @t871 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t922) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t123 @t922) (=> @t790 (=> @t869 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t872 @t414)))))))) % 1.11/1.33 (assume @p829 (forall (@list @t123 @t14 @t310 @t6) (=> @t80 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t310 @t14) (= (tptp.hAPP @t127 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t310)) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t127 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t310))) @t123)))))) % 1.11/1.33 (assume @p830 (forall @t611 (= (= @t893 @t198) @t925))) % 1.11/1.33 (assume @p831 (forall @t611 (= (= @t198 @t893) @t925))) % 1.11/1.33 (assume @p832 (forall @t611 (= (= @t902 @t198) (and @t924 @t923)))) % 1.11/1.33 (assume @p833 (forall @t611 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t902) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t212) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t249))))) % 1.11/1.33 (assume @p834 (forall @t659 (=> @t927 (=> @t926 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t87))))) % 1.11/1.33 (assume @p835 (forall @t659 (=> @t927 (=> @t926 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t854))))) % 1.11/1.33 (assume @p836 (forall @t659 (=> @t927 (=> @t926 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t87))))) % 1.11/1.33 (assume @p837 (= @t161 @t198)) % 1.11/1.33 (assume @p838 (forall @t163 (=> @t473 (= @t472 @t14)))) % 1.11/1.33 (assume @p839 (forall @t601 (= (tptp.hAPP @t86 @t162) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t87)))) % 1.11/1.33 (assume @p840 (forall @t601 (= (tptp.hAPP (tptp.hAPP @t85 @t657) @t14) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 @t87)))) % 1.11/1.33 (assume @p841 (forall @t601 (=> (= @t83 @t87) (or (= @t14 @t161) @t602)))) % 1.11/1.33 (assume @p842 (forall @t941 (=> @t940 (=> @t937 (=> @t935 (=> @t934 (=> @t932 (=> @t931 @t929)))))))) % 1.11/1.33 (assume @p843 (forall @t944 (=> @t943 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t91 @t305) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t91) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t15 @t933) @t942)))))) % 1.11/1.33 (assume @p844 (forall @t941 (=> @t940 (=> @t946 (=> @t945 (=> @t747 (=> @t932 (=> @t931 @t942)))))))) % 1.11/1.33 (assume @p845 (forall @t944 (=> @t943 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t933 @t15) (=> @t935 @t929)))))) % 1.11/1.33 (assume @p846 (forall @t947 (=> @t937 (=> @t934 (=> @t932 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t928 @t305)))))) % 1.11/1.33 (assume @p847 (forall @t947 (=> @t946 (=> @t945 (=> @t932 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t928)))))) % 1.11/1.33 (assume @p848 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t94))) % 1.11/1.33 (assume @p849 (=> @t410 (= (tptp.hAPP (tptp.hAPP @t948 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt tptp.v_z)) @t42) tptp.v_z))) % 1.11/1.33 (assume @p850 (forall @t955 (=> @t954 (= @t953 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t950 @t249))))) % 1.11/1.33 (assume @p851 (forall @t957 (=> @t845 (= @t953 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t212 @t956))))) % 1.11/1.33 (assume @p852 (forall @t779 (= @t908 (or @t903 @t699)))) % 1.11/1.33 (assume @p853 (forall (@list @t34 @t443 @t414 @t440) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t959 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t958 @t34)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 @t813) @t414) @t34)))) % 1.11/1.33 (assume @p854 (forall @t779 (=> @t911 (= @t913 @t757)))) % 1.11/1.33 (assume @p855 (forall @t779 (=> @t911 (= @t908 @t699)))) % 1.11/1.33 (assume @p856 (forall @t779 (=> @t911 (= @t916 @t761)))) % 1.11/1.33 (assume @p857 (forall @t957 (=> @t845 (= @t960 (= @t212 @t956))))) % 1.11/1.33 (assume @p858 (forall (@list @t14 @t83 @t414 @t443 @t440) (=> @t773 (= @t961 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t83 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t443 @t440)) @t414) @t14)))))) % 1.11/1.33 (assume @p859 (forall @t957 (=> @t845 (= @t962 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t212 @t956))))) % 1.11/1.33 (assume @p860 (forall @t955 (=> @t954 (= @t960 (= @t950 @t249))))) % 1.11/1.33 (assume @p861 (forall (@list @t14 @t83 @t414 @t440 @t443) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t443 @t440) (= @t961 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t85 @t763) @t414) @t83) @t14))))) % 1.11/1.33 (assume @p862 (forall @t955 (=> @t954 (= @t962 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t950 @t249))))) % 1.11/1.33 (assume @p863 (= tptp.v_z (tptp.c_Complex_Ocomplex_OComplex tptp.v_x____ tptp.v_y____))) % 1.11/1.33 (assume @p864 (forall @t163 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t14)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit0 @t14))) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint (tptp.c_Int_OBit1 @t14))))))) % 1.11/1.33 (assume @p865 (forall (@list @t102 @t215 @t146) (= (= @t964 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t102)) (and (= @t146 (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_RealDef_Oreal @t102)) @t963)))) % 1.11/1.33 (assume @p866 (forall @t966 (= (= @t964 @t965) (and (= @t146 @t455) @t963)))) % 1.11/1.33 (assume @p867 (= @t965 (tptp.c_Complex_Ocomplex_OComplex @t455 @t393))) % 1.11/1.33 (assume @p868 (forall (@list @t967 @t969 @t968 @t970) (= (= (tptp.c_Complex_Ocomplex_OComplex @t970 @t968) (tptp.c_Complex_Ocomplex_OComplex @t969 @t967)) (and (= @t970 @t969) (= @t968 @t967))))) % 1.11/1.33 (assume @p869 (forall @t973 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t972 @t971) (tptp.c_Complex_Ocomplex_OComplex @t874 @t873)))) % 1.11/1.33 (assume @p870 (forall @t966 (= (= @t964 @t974) (and (= @t146 @t393) @t963)))) % 1.11/1.33 (assume @p871 (= @t974 (tptp.c_Complex_Ocomplex_OComplex @t393 @t393))) % 1.11/1.33 (assume @p872 (forall @t742 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t972) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t4) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t15))))) % 1.11/1.33 (assume @p873 (forall @t973 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t972 @t971) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t4 @t135) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t15 @t220))))) % 1.11/1.33 (assume @p874 (forall @t973 (= (tptp.hAPP (tptp.hAPP @t977 @t972) @t971) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t976 @t135) (tptp.hAPP @t975 @t220)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t976 @t220) (tptp.hAPP @t975 @t135)))))) % 1.11/1.33 (assume @p875 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t306)) % 1.11/1.33 (assume @p876 (not (forall (@list @t3 @t978) (not (= tptp.v_z (tptp.c_Complex_Ocomplex_OComplex @t3 @t978)))))) % 1.11/1.33 (assume @p877 (forall (@list @t979 @t980) (= (tptp.c_Complex_Ocomplex_Ocomplex__size (tptp.c_Complex_Ocomplex_OComplex @t980 @t979)) @t167))) % 1.11/1.33 (assume @p878 (forall @t158 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t12 @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t12 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t123))))) % 1.11/1.33 (assume @p879 (forall @t51 (= @t981 (tptp.hAPP @t45 (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t455 (tptp.c_NthRoot_Osqrt (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t455 @t49))))))))) % 1.11/1.33 (assume @p880 (forall @t278 (=> @t983 (=> @t525 (=> @t539 @t982))))) % 1.11/1.33 (assume @p881 (= (tptp.c_Transcendental_Oarctan @t393) @t393)) % 1.11/1.33 (assume @p882 (forall @t51 (= (tptp.c_Transcendental_Oarctan @t787) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t981)))) % 1.11/1.33 (assume @p883 (forall @t158 (=> @t493 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t984)))) % 1.11/1.33 (assume @p884 (forall @t158 (=> @t486 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t981 @t984)))) % 1.11/1.33 (assume @p885 (forall @t638 (=> (tptp.class_Groups_Ozero @t6) (= (= @t145 @t97) @t243)))) % 1.11/1.33 (assume @p886 (forall @t138 (=> (tptp.class_Groups_Oab__semigroup__mult @t6) (= (tptp.hAPP (tptp.hAPP @t64 @t76) @t135) (tptp.hAPP @t75 @t262))))) % 1.11/1.33 (assume @p887 (forall @t636 (=> @t986 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t15 @t4) @t235) @t985)))) % 1.11/1.33 (assume @p888 (forall @t138 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t6) @t987))) % 1.11/1.33 (assume @p889 (forall @t138 (=> @t986 @t987))) % 1.11/1.33 (assume @p890 (forall (@list @t265 @t146 @t215 @t6) (=> @t986 (= (= @t234 @t989) @t988)))) % 1.11/1.33 (assume @p891 (forall @t331 (=> @t986 (= (= @t991 @t990) @t988)))) % 1.11/1.33 (assume @p892 (forall @t138 (=> (tptp.class_Groups_Oab__semigroup__add @t6) @t231))) % 1.11/1.33 (assume @p893 (forall @t272 (=> @t581 (=> @t992 (= @t216 @t271))))) % 1.11/1.33 (assume @p894 (forall @t638 (=> (tptp.class_Groups_Oone @t6) (= (= @t159 @t97) @t662)))) % 1.11/1.33 (assume @p895 (forall @t281 (=> @t616 (= (= @t463 @t589) @t216)))) % 1.11/1.33 (assume @p896 (forall @t281 (=> @t616 (= (= @t463 @t215) (= @t589 @t146))))) % 1.11/1.33 (assume @p897 (forall @t281 (=> @t616 (= @t590 (= @t215 @t463))))) % 1.11/1.33 (assume @p898 (forall @t11 (=> @t616 (= (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t586) @t4)))) % 1.11/1.33 (assume @p899 (forall @t11 (=> @t993 @t236))) % 1.11/1.33 (assume @p900 (forall @t11 (=> @t994 @t236))) % 1.11/1.33 (assume @p901 (forall @t151 (=> @t204 (= (= @t145 @t203) @t147)))) % 1.11/1.33 (assume @p902 (forall @t11 (=> @t993 @t237))) % 1.11/1.33 (assume @p903 (forall @t11 (=> @t994 @t237))) % 1.11/1.33 (assume @p904 (forall @t314 (=> @t997 (=> @t996 @t508)))) % 1.11/1.33 (assume @p905 (forall @t514 (=> @t997 (=> @t998 @t508)))) % 1.11/1.33 (assume @p906 (forall @t228 (=> @t999 (=> @t508 (=> @t527 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t225 @t224)))))) % 1.11/1.33 (assume @p907 (forall @t138 (=> @t999 (=> @t508 @t996)))) % 1.11/1.33 (assume @p908 (forall @t138 (=> @t999 (=> @t508 @t998)))) % 1.11/1.33 (assume @p909 (forall @t328 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t989 @t1000) @t534)))) % 1.11/1.33 (assume @p910 (forall @t674 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t990 @t1001) @t534)))) % 1.11/1.33 (assume @p911 (forall @t314 (=> @t997 (=> @t1002 @t476)))) % 1.11/1.33 (assume @p912 (forall @t514 (=> @t997 (=> @t1003 @t476)))) % 1.11/1.33 (assume @p913 (forall @t228 (=> @t1006 (=> @t476 @t1005)))) % 1.11/1.33 (assume @p914 (forall @t138 (=> @t1006 (=> @t476 @t1002)))) % 1.11/1.33 (assume @p915 (forall @t138 (=> @t1006 (=> @t476 @t1003)))) % 1.11/1.33 (assume @p916 (forall @t328 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t989 @t1000) @t672)))) % 1.11/1.33 (assume @p917 (forall @t674 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t990 @t1001) @t672)))) % 1.11/1.33 (assume @p918 (forall @t281 (=> @t616 (= @t1007 @t216)))) % 1.11/1.33 (assume @p919 (forall @t281 (=> @t581 (= @t216 @t1007)))) % 1.11/1.33 (assume @p920 (forall @t11 (=> @t616 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t4 @t4) @t145)))) % 1.11/1.33 (assume @p921 (forall @t11 (=> @t616 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t4 @t145) @t4)))) % 1.11/1.33 (assume @p922 (forall @t272 (=> @t1008 (=> @t992 (= @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t265 @t268)))))) % 1.11/1.33 (assume @p923 (forall @t272 (=> @t1008 (=> @t992 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t6 @t265 @t268)))))) % 1.11/1.33 (assume @p924 (forall @t151 (=> @t204 (= (= @t463 @t146) @t147)))) % 1.11/1.33 (assume @p925 (forall @t151 (=> @t616 (= (= @t463 @t145) @t147)))) % 1.11/1.33 (assume @p926 (forall @t151 (=> @t204 (= (= @t146 @t463) @t147)))) % 1.11/1.33 (assume @p927 (forall @t151 (=> @t616 (= (= @t145 @t463) (= @t145 @t146))))) % 1.11/1.33 (assume @p928 (forall @t154 (=> @t616 (= (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t145) @t145)))) % 1.11/1.33 (assume @p929 (forall @t11 (=> @t77 @t273))) % 1.11/1.33 (assume @p930 (forall @t11 (=> @t80 @t273))) % 1.11/1.33 (assume @p931 (forall @t11 (=> @t77 @t274))) % 1.11/1.33 (assume @p932 (forall @t11 (=> @t80 @t274))) % 1.11/1.33 (assume @p933 (forall @t278 (=> @t1008 (=> @t508 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t582 @t586))))) % 1.11/1.33 (assume @p934 (forall @t219 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t589 @t463) @t534)))) % 1.11/1.33 (assume @p935 (forall @t281 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t463 @t215) (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t589 @t146))))) % 1.11/1.33 (assume @p936 (forall @t281 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t589) (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t215 @t463))))) % 1.11/1.33 (assume @p937 (forall @t278 (=> @t616 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t227 @t15) @t4)))) % 1.11/1.33 (assume @p938 (forall @t278 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t580 @t15) @t4)))) % 1.11/1.33 (assume @p939 (forall @t219 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t589 @t463) @t672)))) % 1.11/1.33 (assume @p940 (forall @t281 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t463 @t215) (tptp.c_Orderings_Oord__class_Oless @t6 @t589 @t146))))) % 1.11/1.33 (assume @p941 (forall @t281 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t146 @t589) (tptp.c_Orderings_Oord__class_Oless @t6 @t215 @t463))))) % 1.11/1.33 (assume @p942 (forall @t278 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t586 @t227) @t15)))) % 1.11/1.33 (assume @p943 (forall @t278 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 (tptp.c_Groups_Oplus__class_Oplus @t6 @t586 @t15)) @t15)))) % 1.11/1.33 (assume @p944 (forall @t278 (=> @t616 (= @t1009 (tptp.c_Groups_Oplus__class_Oplus @t6 @t582 @t586))))) % 1.11/1.33 (assume @p945 (forall @t278 (=> @t581 (= @t1009 (tptp.c_Groups_Oplus__class_Oplus @t6 @t586 @t582))))) % 1.11/1.33 (assume @p946 (forall @t278 (=> @t581 (= (tptp.c_Groups_Ouminus__class_Ouminus @t6 @t580) (tptp.c_Groups_Ominus__class_Ominus @t6 @t15 @t4))))) % 1.11/1.33 (assume @p947 (forall @t278 (=> @t983 (=> @t680 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t227 @t145)))))) % 1.11/1.33 (assume @p948 (forall @t315 (=> @t983 (=> @t515 (=> @t635 @t1010))))) % 1.11/1.33 (assume @p949 (forall @t138 (=> @t983 (=> @t402 (=> @t1011 @t1010))))) % 1.11/1.33 (assume @p950 (forall @t101 (=> @t983 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t97) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t96) (= @t615 @t244)))))) % 1.11/1.33 (assume @p951 (forall @t278 (=> @t983 (=> @t402 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t227)))))) % 1.11/1.33 (assume @p952 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t203 @t145) @t622)))) % 1.11/1.33 (assume @p953 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t203) @t629)))) % 1.11/1.33 (assume @p954 (forall @t278 (=> @t983 (=> @t403 @t1013)))) % 1.11/1.33 (assume @p955 (forall @t278 (=> @t983 (=> @t525 @t1014)))) % 1.11/1.33 (assume @p956 (forall @t151 (=> @t204 @t678))) % 1.11/1.33 (assume @p957 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t203) @t698)))) % 1.11/1.33 (assume @p958 (forall @t228 (=> @t1006 (=> @t476 (=> @t527 @t1004))))) % 1.11/1.33 (assume @p959 (forall @t228 (=> @t1006 (=> @t508 @t1005)))) % 1.11/1.33 (assume @p960 (forall @t281 (=> @t1008 (= @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t499 @t145))))) % 1.11/1.33 (assume @p961 (forall @t281 (=> @t1008 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t6 @t499 @t145))))) % 1.11/1.33 (assume @p962 (forall @t151 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t145 @t463) @t622)))) % 1.11/1.33 (assume @p963 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t146 @t463) @t622)))) % 1.11/1.33 (assume @p964 (forall @t151 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t463 @t145) @t629)))) % 1.11/1.33 (assume @p965 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless__eq @t6 @t463 @t146) @t629)))) % 1.11/1.33 (assume @p966 (forall @t151 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t145 @t463) @t462)))) % 1.11/1.33 (assume @p967 (forall @t151 (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t463 @t145) @t698)))) % 1.11/1.33 (assume @p968 (forall @t151 (=> @t204 (= (tptp.c_Orderings_Oord__class_Oless @t6 @t463 @t146) @t698)))) % 1.11/1.33 (assume @p969 (forall @t278 (=> @t616 (=> (= @t227 @t145) (= @t586 @t15))))) % 1.11/1.33 (assume @p970 (forall @t11 (=> @t581 @t1015))) % 1.11/1.33 (assume @p971 (forall @t11 (=> @t616 @t1015))) % 1.11/1.33 (assume @p972 (forall @t281 (=> @t616 (= @t590 (= @t991 @t145))))) % 1.11/1.33 (assume @p973 (forall @t11 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t6 @t4 @t586) @t145)))) % 1.11/1.33 (assume @p974 (forall @t11 (=> @t616 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t145 @t4) @t586)))) % 1.11/1.33 (assume @p975 (forall @t278 (=> @t616 @t1016))) % 1.11/1.33 (assume @p976 (forall @t278 (=> @t581 @t1016))) % 1.11/1.33 (assume @p977 (forall @t278 (=> @t616 (= (tptp.c_Groups_Ominus__class_Ominus @t6 @t4 @t582) @t227)))) % 1.11/1.33 (assume @p978 (forall @t278 (=> @t983 (=> @t680 @t1013)))) % 1.11/1.33 (assume @p979 (forall @t278 (=> @t983 (=> @t403 (=> @t681 @t1012))))) % 1.11/1.33 (assume @p980 (forall @t138 (=> @t983 (=> @t402 @t677)))) % 1.11/1.33 (assume @p981 (forall @t138 (=> @t983 (=> @t525 (=> @t1011 @t676))))) % 1.11/1.33 (assume @p982 (forall @t278 (=> @t983 (=> @t402 @t1014)))) % 1.11/1.33 (assume @p983 (= (tptp.hAPP (tptp.hAPP @t948 tptp.c_Complex_Oii) @t42) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex tptp.c_Int_OMin))) % 1.11/1.33 (assume @p984 (forall @t621 (=> (tptp.class_RealVector_Oreal__normed__algebra @t6) (= @t620 (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.c_Groups_Oplus__class_Oplus @t6 (tptp.hAPP @t617 @t619) @t618) (tptp.hAPP @t75 @t619)))))) % 1.11/1.33 (assume @p985 (forall @t82 (not (= tptp.c_Complex_Oii (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Complex_Ocomplex @t52))))) % 1.11/1.33 (assume @p986 (not (= tptp.c_Complex_Oii @t974))) % 1.11/1.33 (assume @p987 (not (= tptp.c_Complex_Oii @t965))) % 1.11/1.33 (assume @p988 (forall @t51 (= (tptp.hAPP @t1017 (tptp.hAPP @t1017 @t12)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t12)))) % 1.11/1.33 (assume @p989 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p990 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p991 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p992 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p993 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p994 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p996 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p997 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p998 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p999 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1000 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1001 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1002 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1003 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1005 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1006 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1007 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1008 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1009 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1010 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1011 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1012 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1013 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1015 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1016 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1017 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1018 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1019 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1020 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1021 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1022 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1023 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1024 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1025 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1026 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1027 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1028 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1029 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1030 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1031 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1032 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1033 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1034 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1035 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1036 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1037 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1038 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1039 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.11/1.33 (assume @p1040 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1041 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1042 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1043 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1044 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1045 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1046 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1047 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1048 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1049 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1050 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1051 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1052 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1053 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1054 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1055 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1056 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1057 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1058 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1059 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1060 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1061 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1062 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1063 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1064 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1065 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1066 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1067 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1068 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1069 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1070 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1071 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1072 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.11/1.33 (assume @p1073 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1074 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1075 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1076 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1077 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1078 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1079 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1080 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1081 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1082 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1083 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1084 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1085 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1086 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1087 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1088 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1089 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1090 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1091 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1092 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1093 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1094 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1095 @t1018) % 1.11/1.33 (assume @p1096 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1097 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1098 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1099 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1100 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1101 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1102 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1103 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1104 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1105 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1106 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1107 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1108 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1109 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1110 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1111 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1112 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1113 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1114 @t1019) % 1.11/1.33 (assume @p1115 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1116 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1117 (tptp.class_Rings_Osemiring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1118 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1119 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1120 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1121 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1122 @t1020) % 1.11/1.33 (assume @p1123 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1124 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1125 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1126 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1127 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1128 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1129 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1130 @t1021) % 1.11/1.33 (assume @p1131 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.11/1.33 (assume @p1132 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1133 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1134 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1135 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1136 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1137 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1138 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1139 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1140 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1141 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1142 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1143 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1144 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1145 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1146 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1147 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1148 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1149 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1150 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1151 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1152 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1153 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1154 (tptp.class_Rings_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1155 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1156 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1157 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1158 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1159 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1160 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1161 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1162 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1163 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1164 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1165 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1166 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1167 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1168 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.11/1.33 (assume @p1169 (not @t1025)) % 1.11/1.33 (assume @p1170 true) % 1.11/1.33 (step @p1171 :rule bool-impl-elim :args (@t23 @t22)) % 1.11/1.33 (step @p1172 :rule cong :premises (@p1171) :args (@t25)) % 1.11/1.33 (step @p1173 :rule eq_resolve :premises (@p4 @p1172)) % 1.11/1.33 (step @p1174 :rule instantiate :premises (@p1173) :args ((@list @t42 @t43 tptp.v_x tptp.tc_RealDef_Oreal))) % 1.11/1.33 (step @p1175 :rule cnf_or_pos :args (@t1029)) % 1.11/1.33 (step @p1176 :rule reordering :premises (@p1175) :args ((or @t1028 @t1027 (not @t1029)))) % 1.11/1.33 (step @p1177 :rule chain_m_resolution :premises (@p1176 @p1095 @p1174) :args (@t1027 @t1030 (@list @t1018 @t1029))) % 1.11/1.33 (step @p1178 :rule aci_norm :args ((= (or (or @t1032 @t1031) @t56) (or @t1032 @t1031 @t56)))) % 1.11/1.33 (step @p1179 :rule refl :args (@t56)) % 1.11/1.33 (step @p1180 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 1.11/1.33 (step @p1181 :rule nary_cong :premises (@p1180 @p1179) :args ((or (not @t59) @t56))) % 1.11/1.33 (step @p1182 :rule trans :premises (@p1181 @p1178)) % 1.11/1.33 (step @p1183 :rule bool-impl-elim :args (@t59 @t56)) % 1.11/1.33 (step @p1184 :rule trans :premises (@p1183 @p1182)) % 1.11/1.33 (step @p1185 :rule cong :premises (@p1184) :args (@t60)) % 1.11/1.33 (step @p1186 :rule eq_resolve :premises (@p13 @p1185)) % 1.11/1.33 (step @p1187 :rule instantiate :premises (@p1186) :args (@t1033)) % 1.11/1.33 (step @p1188 :rule cnf_or_pos :args (@t1037)) % 1.11/1.33 (step @p1189 :rule reordering :premises (@p1188) :args ((or @t1036 @t1035 @t1034 (not @t1037)))) % 1.11/1.33 (step @p1190 :rule chain_m_resolution :premises (@p1189 @p1114 @p1130 @p1187) :args (@t1034 (@list false false false) (@list @t1019 @t1021 @t1037))) % 1.11/1.33 (step @p1191 :rule bool-impl-elim :args (@t8 @t1038)) % 1.11/1.33 (step @p1192 :rule cong :premises (@p1191) :args ((forall @t301 (=> @t8 @t1038)))) % 1.11/1.33 (step @p1193 :rule eq-symm :args (@t332 @t303)) % 1.11/1.33 (step @p1194 :rule refl :args (@t8)) % 1.11/1.33 (step @p1195 :rule cong :premises (@p1194 @p1193) :args (@t333)) % 1.11/1.33 (step @p1196 :rule cong :premises (@p1195) :args (@t334)) % 1.11/1.33 (step @p1197 :rule trans :premises (@p1196 @p1192)) % 1.11/1.33 (step @p1198 :rule eq_resolve :premises (@p138 @p1197)) % 1.11/1.33 (step @p1199 :rule instantiate :premises (@p1198) :args (@t1033)) % 1.11/1.33 (step @p1200 :rule cnf_or_pos :args (@t1044)) % 1.11/1.33 (step @p1201 :rule reordering :premises (@p1200) :args ((or @t1043 @t1042 (not @t1044)))) % 1.11/1.33 (step @p1202 :rule chain_m_resolution :premises (@p1201 @p1122 @p1199) :args (@t1042 @t1030 (@list @t1020 @t1044))) % 1.11/1.33 (step @p1203 :rule bool-impl-elim :args (@t8 @t1045)) % 1.11/1.33 (step @p1204 :rule cong :premises (@p1203) :args ((forall @t154 (=> @t8 @t1045)))) % 1.11/1.33 (step @p1205 :rule eq-symm :args (@t177 @t124)) % 1.11/1.33 (step @p1206 :rule cong :premises (@p1194 @p1205) :args (@t338)) % 1.11/1.33 (step @p1207 :rule cong :premises (@p1206) :args (@t339)) % 1.11/1.33 (step @p1208 :rule trans :premises (@p1207 @p1204)) % 1.11/1.33 (step @p1209 :rule eq_resolve :premises (@p142 @p1208)) % 1.11/1.33 (step @p1210 :rule instantiate :premises (@p1209) :args ((@list tptp.tc_RealDef_Oreal))) % 1.11/1.33 (step @p1211 :rule cnf_or_pos :args (@t1047)) % 1.11/1.33 (step @p1212 :rule reordering :premises (@p1211) :args ((or @t1043 @t1046 (not @t1047)))) % 1.11/1.33 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p1122 @p1210) :args (@t1046 @t1030 (@list @t1020 @t1047))) % 1.11/1.33 (assume-push @p1240 @t1027) % 1.11/1.33 (assume-push @p1241 @t1034) % 1.11/1.33 (assume-push @p1242 @t1042) % 1.11/1.33 (assume-push @p1243 @t1046) % 1.11/1.33 (step @p1218 :rule symm :premises (@p1177)) % 1.11/1.33 (step @p1219 :rule symm :premises (@p1190)) % 1.11/1.33 (step @p1220 :rule refl :args (@t43)) % 1.11/1.33 (step @p1221 :rule symm :premises (@p1213)) % 1.11/1.33 (step @p1222 :rule refl :args (@t44)) % 1.11/1.33 (step @p1223 :rule cong :premises (@p1222 @p1221) :args (@t1040)) % 1.11/1.33 (step @p1224 :rule cong :premises (@p1223 @p1220) :args (@t1041)) % 1.11/1.33 (step @p1225 :rule trans :premises (@p1202 @p1224 @p1219)) % 1.11/1.33 (step @p1226 :rule refl :args (@t1023)) % 1.11/1.33 (step @p1227 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.11/1.33 (step @p1228 :rule cong :premises (@p1227 @p1226 @p1225) :args (@t1024)) % 1.11/1.33 (step @p1229 :rule trans :premises (@p1228 @p1218)) % 1.11/1.33 (step-pop @p1244 :rule scope :premises (@p1229)) % 1.11/1.33 (step-pop @p1245 :rule scope :premises (@p1244)) % 1.11/1.33 (step-pop @p1246 :rule scope :premises (@p1245)) % 1.11/1.33 (step-pop @p1247 :rule scope :premises (@p1246)) % 1.11/1.33 (step @p1230 :rule process_scope :premises (@p1247) :args (@t1025)) % 1.11/1.33 (step @p1235 :rule implies_elim :premises (@p1230)) % 1.11/1.33 (step @p1236 :rule cnf_and_neg :args (@t1048)) % 1.11/1.33 (step @p1237 :rule resolution :premises (@p1236 @p1235) :args (true @t1048)) % 1.11/1.33 (step @p1238 :rule reordering :premises (@p1237) :args ((or @t1025 (not @t1027) (not @t1034) (not @t1042) (not @t1046)))) % 1.11/1.33 (step @p1239 false :rule chain_m_resolution :premises (@p1238 @p1213 @p1202 @p1190 @p1177 @p1169) :args (false (@list false false false false true) (@list @t1046 @t1042 @t1034 @t1027 @t1025))) % 1.11/1.33 ) % 1.11/1.33 % SZS output end Proof % 1.11/1.33 % cvc5 exiting %------------------------------------------------------------------------------