%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW202+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 : n018.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 09:04:30 AM UTC 2026 % Result : Theorem 68.32s 68.56s % Output : Proof 68.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW202+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:38:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 68.32/68.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 68.32/68.56 --- Run --no-e-matching --full-saturate-quant at 6... % 68.32/68.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 68.32/68.56 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 68.32/68.56 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 68.32/68.56 --- Run --trigger-sel=max --full-saturate-quant at 15... % 68.32/68.56 % SZS status Theorem % 68.32/68.56 % SZS output start Proof % 68.32/68.56 ( % 68.32/68.56 (declare-sort $$unsorted 0) % 68.32/68.56 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.tc_HOL_Obool $$unsorted) % 68.32/68.56 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Complex_Oii $$unsorted) % 68.32/68.56 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Parity_Oeven__odd__class_Oeven (-> $$unsorted $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.v_na____ $$unsorted) % 68.32/68.56 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.tc_Nat_Onat $$unsorted) % 68.32/68.56 (declare-const tptp.v_n $$unsorted) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.v_b $$unsorted) % 68.32/68.56 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.v_v____ $$unsorted) % 68.32/68.56 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 68.32/68.56 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 68.32/68.56 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.tc_Int_Oint $$unsorted) % 68.32/68.56 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 68.32/68.56 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 68.32/68.56 (define @t1 () (@var "V_g_2" $$unsorted)) % 68.32/68.56 (define @t2 () (@var "V_f_2" $$unsorted)) % 68.32/68.56 (define @t3 () (@var "B_x" $$unsorted)) % 68.32/68.56 (define @t4 () (tptp.hAPP @t1 @t3)) % 68.32/68.56 (define @t5 () (tptp.hAPP @t2 @t3)) % 68.32/68.56 (define @t6 () (@list @t3)) % 68.32/68.56 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 68.32/68.56 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t9 () (= tptp.v_b @t8)) % 68.32/68.56 (define @t10 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t11 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_b)) % 68.32/68.56 (define @t12 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t11)) % 68.32/68.56 (define @t13 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t12 tptp.v_b)) % 68.32/68.56 (define @t14 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t13)) % 68.32/68.56 (define @t15 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t16 () (tptp.hAPP @t15 tptp.v_v____)) % 68.32/68.56 (define @t17 () (tptp.hAPP @t16 tptp.v_na____)) % 68.32/68.56 (define @t18 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 @t17)) % 68.32/68.56 (define @t19 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t18)) % 68.32/68.56 (define @t20 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t19 @t10)) % 68.32/68.56 (define @t21 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat tptp.v_na____)) % 68.32/68.56 (define @t22 () (@var "B_v" $$unsorted)) % 68.32/68.56 (define @t23 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 (tptp.hAPP (tptp.hAPP @t15 @t22) tptp.v_na____))) @t10)) % 68.32/68.56 (define @t24 () (@list @t22)) % 68.32/68.56 (define @t25 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t17 @t12)) % 68.32/68.56 (define @t26 () (tptp.c_NthRoot_Oroot tptp.v_na____ @t11)) % 68.32/68.56 (define @t27 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t26)) % 68.32/68.56 (define @t28 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex tptp.v_v____ @t27)) % 68.32/68.56 (define @t29 () (tptp.hAPP (tptp.hAPP @t15 @t28) tptp.v_na____)) % 68.32/68.56 (define @t30 () (@var "V_s" $$unsorted)) % 68.32/68.56 (define @t31 () (@var "V_r" $$unsorted)) % 68.32/68.56 (define @t32 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t33 () (tptp.hAPP @t32 @t31)) % 68.32/68.56 (define @t34 () (@var "V_y" $$unsorted)) % 68.32/68.56 (define @t35 () (@var "V_x" $$unsorted)) % 68.32/68.56 (define @t36 () (@var "T_a" $$unsorted)) % 68.32/68.56 (define @t37 () (tptp.c_Groups_Otimes__class_Otimes @t36)) % 68.32/68.56 (define @t38 () (tptp.hAPP @t37 @t35)) % 68.32/68.56 (define @t39 () (tptp.hAPP @t38 @t34)) % 68.32/68.56 (define @t40 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t39)) % 68.32/68.56 (define @t41 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t34)) % 68.32/68.56 (define @t42 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t30)) % 68.32/68.56 (define @t43 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t35)) % 68.32/68.56 (define @t44 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t31)) % 68.32/68.56 (define @t45 () (tptp.class_RealVector_Oreal__normed__algebra @t36)) % 68.32/68.56 (define @t46 () (@list @t30 @t34 @t31 @t35 @t36)) % 68.32/68.56 (define @t47 () (tptp.c_Groups_Oone__class_Oone @t36)) % 68.32/68.56 (define @t48 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t47 @t47)) % 68.32/68.56 (define @t49 () (@var "V_b" $$unsorted)) % 68.32/68.56 (define @t50 () (@var "V_a" $$unsorted)) % 68.32/68.56 (define @t51 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t49)) % 68.32/68.56 (define @t52 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t51 @t48)) % 68.32/68.56 (define @t53 () (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t49)) % 68.32/68.56 (define @t54 () (tptp.class_Fields_Olinordered__field @t36)) % 68.32/68.56 (define @t55 () (@list @t49 @t50 @t36)) % 68.32/68.56 (define @t56 () (@var "V_n" $$unsorted)) % 68.32/68.56 (define @t57 () (tptp.c_Power_Opower__class_Opower @t36)) % 68.32/68.56 (define @t58 () (tptp.hAPP @t57 @t50)) % 68.32/68.56 (define @t59 () (tptp.hAPP @t58 @t56)) % 68.32/68.56 (define @t60 () (tptp.hAPP @t37 @t50)) % 68.32/68.56 (define @t61 () (tptp.hAPP @t60 @t59)) % 68.32/68.56 (define @t62 () (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t50)) % 68.32/68.56 (define @t63 () (tptp.class_Rings_Olinordered__semidom @t36)) % 68.32/68.56 (define @t64 () (@list @t56 @t50 @t36)) % 68.32/68.56 (define @t65 () (tptp.class_RealVector_Oreal__algebra__1 @t36)) % 68.32/68.56 (define @t66 () (@list @t36)) % 68.32/68.56 (define @t67 () (tptp.c_RealVector_Oof__real @t36 @t34)) % 68.32/68.56 (define @t68 () (tptp.c_RealVector_Oof__real @t36 @t35)) % 68.32/68.56 (define @t69 () (tptp.hAPP (tptp.hAPP @t32 @t35) @t34)) % 68.32/68.56 (define @t70 () (@list @t34 @t35 @t36)) % 68.32/68.56 (define @t71 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t36)) % 68.32/68.56 (define @t72 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t73 () (tptp.hAPP (tptp.hAPP @t72 @t26) tptp.v_na____)) % 68.32/68.56 (define @t74 () (@var "B_m" $$unsorted)) % 68.32/68.56 (define @t75 () (@var "B_z" $$unsorted)) % 68.32/68.56 (define @t76 () (tptp.hAPP @t15 @t75)) % 68.32/68.56 (define @t77 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t78 () (tptp.hAPP @t77 tptp.v_b)) % 68.32/68.56 (define @t79 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t80 () (@list @t75)) % 68.32/68.56 (define @t81 () (@list @t74)) % 68.32/68.56 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t36)) % 68.32/68.56 (define @t83 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t84 () (= (tptp.c_RealVector_Oof__real @t36 @t83) @t82)) % 68.32/68.56 (define @t85 () (tptp.class_RealVector_Oreal__normed__vector @t36)) % 68.32/68.56 (define @t86 () (and @t65 @t85)) % 68.32/68.56 (define @t87 () (@var "V_nb_2" $$unsorted)) % 68.32/68.56 (define @t88 () (= @t87 @t7)) % 68.32/68.56 (define @t89 () (@var "V_x_2" $$unsorted)) % 68.32/68.56 (define @t90 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t89)) % 68.32/68.56 (define @t91 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 68.32/68.56 (define @t92 () (tptp.hAPP @t91 @t89)) % 68.32/68.56 (define @t93 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t92 @t87))) % 68.32/68.56 (define @t94 () (@list @t87 @t89)) % 68.32/68.56 (define @t95 () (= @t89 @t83)) % 68.32/68.56 (define @t96 () (tptp.c_RealVector_Oof__real @t36 @t89)) % 68.32/68.56 (define @t97 () (= (= @t96 @t82) @t95)) % 68.32/68.56 (define @t98 () (=> @t65 @t97)) % 68.32/68.56 (define @t99 () (@list @t89 @t36)) % 68.32/68.56 (define @t100 () (forall @t99 @t98)) % 68.32/68.56 (define @t101 () (= @t89 @t82)) % 68.32/68.56 (define @t102 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t89)) % 68.32/68.56 (define @t103 () (= (= @t102 @t83) @t101)) % 68.32/68.56 (define @t104 () (=> @t85 @t103)) % 68.32/68.56 (define @t105 () (forall @t99 @t104)) % 68.32/68.56 (define @t106 () (not @t88)) % 68.32/68.56 (define @t107 () (@var "V_a_2" $$unsorted)) % 68.32/68.56 (define @t108 () (= @t107 @t82)) % 68.32/68.56 (define @t109 () (tptp.hAPP @t57 @t107)) % 68.32/68.56 (define @t110 () (tptp.hAPP @t109 @t87)) % 68.32/68.56 (define @t111 () (tptp.class_Rings_Ozero__neq__one @t36)) % 68.32/68.56 (define @t112 () (tptp.class_Rings_Ono__zero__divisors @t36)) % 68.32/68.56 (define @t113 () (tptp.class_Rings_Omult__zero @t36)) % 68.32/68.56 (define @t114 () (tptp.class_Power_Opower @t36)) % 68.32/68.56 (define @t115 () (@list @t87 @t107 @t36)) % 68.32/68.56 (define @t116 () (@var "V_m" $$unsorted)) % 68.32/68.56 (define @t117 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t118 () (@var "V_i" $$unsorted)) % 68.32/68.56 (define @t119 () (tptp.hAPP @t91 @t118)) % 68.32/68.56 (define @t120 () (tptp.hAPP @t119 @t56)) % 68.32/68.56 (define @t121 () (tptp.hAPP @t58 @t116)) % 68.32/68.56 (define @t122 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 68.32/68.56 (define @t123 () (tptp.hAPP @t122 @t116)) % 68.32/68.56 (define @t124 () (tptp.hAPP @t123 @t56)) % 68.32/68.56 (define @t125 () (tptp.class_Groups_Omonoid__mult @t36)) % 68.32/68.56 (define @t126 () (@list @t56 @t116 @t50 @t36)) % 68.32/68.56 (define @t127 () (@list @t35 @t36)) % 68.32/68.56 (define @t128 () (= (tptp.hAPP @t60 @t82) @t82)) % 68.32/68.56 (define @t129 () (@list @t50 @t36)) % 68.32/68.56 (define @t130 () (tptp.hAPP @t37 @t82)) % 68.32/68.56 (define @t131 () (@list @t34 @t36)) % 68.32/68.56 (define @t132 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 68.32/68.56 (define @t133 () (= @t50 @t82)) % 68.32/68.56 (define @t134 () (not @t133)) % 68.32/68.56 (define @t135 () (tptp.class_RealVector_Oreal__normed__field @t36)) % 68.32/68.56 (define @t136 () (tptp.hAPP @t57 @t82)) % 68.32/68.56 (define @t137 () (tptp.hAPP @t136 @t56)) % 68.32/68.56 (define @t138 () (= @t56 @t7)) % 68.32/68.56 (define @t139 () (not @t138)) % 68.32/68.56 (define @t140 () (and @t114 (tptp.class_Rings_Osemiring__0 @t36))) % 68.32/68.56 (define @t141 () (@list @t56 @t36)) % 68.32/68.56 (define @t142 () (not @t101)) % 68.32/68.56 (define @t143 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t144 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t50)) % 68.32/68.56 (define @t145 () (@var "V_c" $$unsorted)) % 68.32/68.56 (define @t146 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t49 @t145)) % 68.32/68.56 (define @t147 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t50 @t145)) % 68.32/68.56 (define @t148 () (tptp.c_Orderings_Oord__class_Oless @t36 @t147 @t146)) % 68.32/68.56 (define @t149 () (tptp.c_Orderings_Oord__class_Oless @t36 @t145 @t82)) % 68.32/68.56 (define @t150 () (tptp.c_Orderings_Oord__class_Oless @t36 @t49 @t50)) % 68.32/68.56 (define @t151 () (@list @t145 @t50 @t49 @t36)) % 68.32/68.56 (define @t152 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t145)) % 68.32/68.56 (define @t153 () (@list @t145 @t49 @t50 @t36)) % 68.32/68.56 (define @t154 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t35 @t34)) % 68.32/68.56 (define @t155 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t154)) % 68.32/68.56 (define @t156 () (tptp.c_Orderings_Oord__class_Oless @t36 @t34 @t82)) % 68.32/68.56 (define @t157 () (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t82)) % 68.32/68.56 (define @t158 () (tptp.c_Orderings_Oord__class_Oless @t36 @t154 @t82)) % 68.32/68.56 (define @t159 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t34)) % 68.32/68.56 (define @t160 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t35)) % 68.32/68.56 (define @t161 () (@var "V_ba_2" $$unsorted)) % 68.32/68.56 (define @t162 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t161)) % 68.32/68.56 (define @t163 () (tptp.c_Orderings_Oord__class_Oless @t36 @t107 @t82)) % 68.32/68.56 (define @t164 () (tptp.c_Orderings_Oord__class_Oless @t36 @t161 @t82)) % 68.32/68.56 (define @t165 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t107)) % 68.32/68.56 (define @t166 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t107 @t161)) % 68.32/68.56 (define @t167 () (tptp.class_Fields_Olinordered__field__inverse__zero @t36)) % 68.32/68.56 (define @t168 () (@list @t161 @t107 @t36)) % 68.32/68.56 (define @t169 () (@var "V_y_2" $$unsorted)) % 68.32/68.56 (define @t170 () (@var "V_w_2" $$unsorted)) % 68.32/68.56 (define @t171 () (tptp.hAPP @t37 @t170)) % 68.32/68.56 (define @t172 () (tptp.hAPP @t171 @t169)) % 68.32/68.56 (define @t173 () (@var "V_z_2" $$unsorted)) % 68.32/68.56 (define @t174 () (tptp.hAPP @t37 @t89)) % 68.32/68.56 (define @t175 () (tptp.hAPP @t174 @t173)) % 68.32/68.56 (define @t176 () (= @t169 @t82)) % 68.32/68.56 (define @t177 () (not @t176)) % 68.32/68.56 (define @t178 () (tptp.class_Fields_Ofield @t36)) % 68.32/68.56 (define @t179 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t50 @t49)) % 68.32/68.56 (define @t180 () (tptp.hAPP @t37 @t145)) % 68.32/68.56 (define @t181 () (tptp.hAPP @t180 @t49)) % 68.32/68.56 (define @t182 () (tptp.hAPP @t180 @t50)) % 68.32/68.56 (define @t183 () (= @t145 @t82)) % 68.32/68.56 (define @t184 () (not @t183)) % 68.32/68.56 (define @t185 () (tptp.class_Fields_Ofield__inverse__zero @t36)) % 68.32/68.56 (define @t186 () (@list @t49 @t50 @t145 @t36)) % 68.32/68.56 (define @t187 () (tptp.hAPP @t37 @t49)) % 68.32/68.56 (define @t188 () (tptp.hAPP @t187 @t145)) % 68.32/68.56 (define @t189 () (tptp.hAPP @t60 @t145)) % 68.32/68.56 (define @t190 () (@var "V_c_2" $$unsorted)) % 68.32/68.56 (define @t191 () (= @t190 @t82)) % 68.32/68.56 (define @t192 () (=> @t191 @t108)) % 68.32/68.56 (define @t193 () (tptp.hAPP @t37 @t107)) % 68.32/68.56 (define @t194 () (tptp.hAPP @t193 @t190)) % 68.32/68.56 (define @t195 () (= @t161 @t194)) % 68.32/68.56 (define @t196 () (not @t191)) % 68.32/68.56 (define @t197 () (=> @t196 @t195)) % 68.32/68.56 (define @t198 () (and @t197 @t192)) % 68.32/68.56 (define @t199 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t161 @t190)) % 68.32/68.56 (define @t200 () (= @t199 @t107)) % 68.32/68.56 (define @t201 () (= @t200 @t198)) % 68.32/68.56 (define @t202 () (=> @t185 @t201)) % 68.32/68.56 (define @t203 () (@list @t107 @t190 @t161 @t36)) % 68.32/68.56 (define @t204 () (forall @t203 @t202)) % 68.32/68.56 (define @t205 () (= @t194 @t161)) % 68.32/68.56 (define @t206 () (= @t107 @t199)) % 68.32/68.56 (define @t207 () (@list @t190 @t161 @t107 @t36)) % 68.32/68.56 (define @t208 () (tptp.hAPP @t57 @t49)) % 68.32/68.56 (define @t209 () (tptp.hAPP @t208 @t56)) % 68.32/68.56 (define @t210 () (= (tptp.hAPP (tptp.hAPP @t57 @t179) @t56) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t59 @t209))) % 68.32/68.56 (define @t211 () (= @t49 @t82)) % 68.32/68.56 (define @t212 () (not @t211)) % 68.32/68.56 (define @t213 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t49)) % 68.32/68.56 (define @t214 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t50)) % 68.32/68.56 (define @t215 () (= (tptp.c_RealVector_Onorm__class_Onorm @t36 @t179) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t214 @t213))) % 68.32/68.56 (define @t216 () (@list @t50 @t49 @t36)) % 68.32/68.56 (define @t217 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t145 @t49)) % 68.32/68.56 (define @t218 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t145 @t50)) % 68.32/68.56 (define @t219 () (tptp.hAPP @t60 @t49)) % 68.32/68.56 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t219)) % 68.32/68.56 (define @t221 () (=> @t220 (tptp.c_Orderings_Oord__class_Oless @t36 @t218 @t217))) % 68.32/68.56 (define @t222 () (tptp.c_Orderings_Oord__class_Oless @t36 @t194 @t161)) % 68.32/68.56 (define @t223 () (tptp.c_Orderings_Oord__class_Oless @t36 @t199 @t107)) % 68.32/68.56 (define @t224 () (tptp.c_Orderings_Oord__class_Oless @t36 @t190 @t82)) % 68.32/68.56 (define @t225 () (@list @t107 @t161 @t190 @t36)) % 68.32/68.56 (define @t226 () (tptp.c_Orderings_Oord__class_Oless @t36 @t161 @t194)) % 68.32/68.56 (define @t227 () (tptp.c_Orderings_Oord__class_Oless @t36 @t107 @t199)) % 68.32/68.56 (define @t228 () (@list @t161 @t107 @t190 @t36)) % 68.32/68.56 (define @t229 () (@var "V_z" $$unsorted)) % 68.32/68.56 (define @t230 () (tptp.hAPP @t37 @t229)) % 68.32/68.56 (define @t231 () (tptp.hAPP @t230 @t34)) % 68.32/68.56 (define @t232 () (@list @t35 @t229 @t34 @t36)) % 68.32/68.56 (define @t233 () (@list @t229 @t35 @t34 @t36)) % 68.32/68.56 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t190)) % 68.32/68.56 (define @t235 () (not @t224)) % 68.32/68.56 (define @t236 () (not @t234)) % 68.32/68.56 (define @t237 () (@var "V_N" $$unsorted)) % 68.32/68.56 (define @t238 () (tptp.hAPP @t58 @t237)) % 68.32/68.56 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t47)) % 68.32/68.56 (define @t240 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t237)) % 68.32/68.56 (define @t241 () (@list @t50 @t237 @t56 @t36)) % 68.32/68.56 (define @t242 () (tptp.hAPP @t37 @t34)) % 68.32/68.56 (define @t243 () (tptp.hAPP @t242 @t229)) % 68.32/68.56 (define @t244 () (@var "V_w" $$unsorted)) % 68.32/68.56 (define @t245 () (tptp.hAPP (tptp.hAPP @t37 @t244) @t34)) % 68.32/68.56 (define @t246 () (tptp.hAPP @t38 @t229)) % 68.32/68.56 (define @t247 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t244 @t229)) % 68.32/68.56 (define @t248 () (not (= @t229 @t82))) % 68.32/68.56 (define @t249 () (not (= @t34 @t82))) % 68.32/68.56 (define @t250 () (@list @t244 @t35 @t229 @t34 @t36)) % 68.32/68.56 (define @t251 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t35 @t231)) % 68.32/68.56 (define @t252 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t35 @t229)) % 68.32/68.56 (define @t253 () (@list @t34 @t35 @t229 @t36)) % 68.32/68.56 (define @t254 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t251 @t34)) % 68.32/68.56 (define @t255 () (tptp.hAPP @t230 @t35)) % 68.32/68.56 (define @t256 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t34 @t229)) % 68.32/68.56 (define @t257 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t56)) % 68.32/68.56 (define @t258 () (tptp.hAPP @t72 @t35)) % 68.32/68.56 (define @t259 () (tptp.hAPP @t258 @t56)) % 68.32/68.56 (define @t260 () (@list @t56 @t35)) % 68.32/68.56 (define @t261 () (= @t89 @t169)) % 68.32/68.56 (define @t262 () (@list @t169 @t89 @t36)) % 68.32/68.56 (define @t263 () (@var "V_ya" $$unsorted)) % 68.32/68.56 (define @t264 () (tptp.hAPP @t242 @t263)) % 68.32/68.56 (define @t265 () (tptp.hAPP @t38 @t263)) % 68.32/68.56 (define @t266 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t35 @t34)) % 68.32/68.56 (define @t267 () (@list @t263 @t34 @t35 @t36)) % 68.32/68.56 (define @t268 () (@var "V_a_H" $$unsorted)) % 68.32/68.56 (define @t269 () (tptp.hAPP (tptp.hAPP @t37 @t268) @t49)) % 68.32/68.56 (define @t270 () (@list @t49 @t268 @t50 @t36)) % 68.32/68.56 (define @t271 () (@var "V_xa" $$unsorted)) % 68.32/68.56 (define @t272 () (tptp.hAPP @t37 @t271)) % 68.32/68.56 (define @t273 () (tptp.hAPP @t272 @t34)) % 68.32/68.56 (define @t274 () (tptp.hAPP @t272 @t35)) % 68.32/68.56 (define @t275 () (= (tptp.hAPP @t272 @t266) (tptp.c_Groups_Oplus__class_Oplus @t36 @t274 @t273))) % 68.32/68.56 (define @t276 () (@list @t34 @t35 @t271 @t36)) % 68.32/68.56 (define @t277 () (forall @t276 (=> @t45 @t275))) % 68.32/68.56 (define @t278 () (@var "V_b_H" $$unsorted)) % 68.32/68.56 (define @t279 () (tptp.hAPP @t60 @t278)) % 68.32/68.56 (define @t280 () (@list @t278 @t49 @t50 @t36)) % 68.32/68.56 (define @t281 () (tptp.hAPP @t37 @t59)) % 68.32/68.56 (define @t282 () (= (tptp.hAPP (tptp.hAPP @t57 @t219) @t56) (tptp.hAPP @t281 @t209))) % 68.32/68.56 (define @t283 () (tptp.class_Groups_Ocomm__monoid__mult @t36)) % 68.32/68.56 (define @t284 () (@list @t56 @t49 @t50 @t36)) % 68.32/68.56 (define @t285 () (forall @t284 (=> @t283 @t282))) % 68.32/68.56 (define @t286 () (tptp.hAPP @t281 @t50)) % 68.32/68.56 (define @t287 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t34 @t263)) % 68.32/68.56 (define @t288 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t35 @t263)) % 68.32/68.56 (define @t289 () (tptp.hAPP (tptp.hAPP @t72 @t43) @t56)) % 68.32/68.56 (define @t290 () (tptp.hAPP @t57 @t35)) % 68.32/68.56 (define @t291 () (tptp.hAPP @t290 @t56)) % 68.32/68.56 (define @t292 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t291)) % 68.32/68.56 (define @t293 () (tptp.class_RealVector_Oreal__normed__div__algebra @t36)) % 68.32/68.56 (define @t294 () (@list @t56 @t35 @t36)) % 68.32/68.56 (define @t295 () (= (tptp.c_RealVector_Oof__real @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t35 @t34)) (tptp.c_Groups_Oplus__class_Oplus @t36 @t68 @t67))) % 68.32/68.56 (define @t296 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t35 @t34)) % 68.32/68.56 (define @t297 () (= (tptp.c_RealVector_Oof__real @t36 @t296) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t68 @t67))) % 68.32/68.56 (define @t298 () (tptp.class_RealVector_Oreal__field @t36)) % 68.32/68.56 (define @t299 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t169)) % 68.32/68.56 (define @t300 () (tptp.hAPP @t57 @t161)) % 68.32/68.56 (define @t301 () (tptp.hAPP @t300 @t169)) % 68.32/68.56 (define @t302 () (tptp.hAPP @t300 @t89)) % 68.32/68.56 (define @t303 () (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t161)) % 68.32/68.56 (define @t304 () (@list @t169 @t89 @t161 @t36)) % 68.32/68.56 (define @t305 () (@var "V_ma_2" $$unsorted)) % 68.32/68.56 (define @t306 () (= @t305 @t87)) % 68.32/68.56 (define @t307 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t266)) % 68.32/68.56 (define @t308 () (tptp.hAPP (tptp.hAPP @t32 @t43) @t41)) % 68.32/68.56 (define @t309 () (= @t40 @t308)) % 68.32/68.56 (define @t310 () (forall @t70 (=> @t293 @t309))) % 68.32/68.56 (define @t311 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t87)) % 68.32/68.56 (define @t312 () (not @t311)) % 68.32/68.56 (define @t313 () (tptp.hAPP (tptp.hAPP @t57 @t89) @t87)) % 68.32/68.56 (define @t314 () (tptp.class_Rings_Olinordered__idom @t36)) % 68.32/68.56 (define @t315 () (@list @t87 @t89 @t36)) % 68.32/68.56 (define @t316 () (tptp.c_NthRoot_Oroot @t56 @t35)) % 68.32/68.56 (define @t317 () (tptp.c_NthRoot_Oroot @t237 @t35)) % 68.32/68.56 (define @t318 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t35)) % 68.32/68.56 (define @t319 () (@list @t35 @t237 @t56)) % 68.32/68.56 (define @t320 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t89 @t10)) % 68.32/68.56 (define @t321 () (tptp.c_NthRoot_Oroot @t87 @t89)) % 68.32/68.56 (define @t322 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t87)) % 68.32/68.56 (define @t323 () (@list @t89 @t87)) % 68.32/68.56 (define @t324 () (tptp.c_NthRoot_Oroot @t87 @t169)) % 68.32/68.56 (define @t325 () (@list @t169 @t87)) % 68.32/68.56 (define @t326 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t174 @t89) (tptp.hAPP (tptp.hAPP @t37 @t169) @t169))) % 68.32/68.56 (define @t327 () (tptp.class_Rings_Olinordered__ring__strict @t36)) % 68.32/68.56 (define @t328 () (tptp.hAPP @t38 @t35)) % 68.32/68.56 (define @t329 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t328 (tptp.hAPP @t242 @t34))) % 68.32/68.56 (define @t330 () (tptp.class_Rings_Olinordered__ring @t36)) % 68.32/68.56 (define @t331 () (@list @t56)) % 68.32/68.56 (define @t332 () (= @t89 @t10)) % 68.32/68.56 (define @t333 () (tptp.c_NthRoot_Oroot @t56 @t34)) % 68.32/68.56 (define @t334 () (= (tptp.c_NthRoot_Oroot @t56 @t69) (tptp.hAPP (tptp.hAPP @t32 @t316) @t333))) % 68.32/68.56 (define @t335 () (@list @t34 @t35 @t56)) % 68.32/68.56 (define @t336 () (tptp.hAPP @t32 @t89)) % 68.32/68.56 (define @t337 () (tptp.hAPP @t336 @t89)) % 68.32/68.56 (define @t338 () (@list @t89)) % 68.32/68.56 (define @t339 () (= @t321 @t83)) % 68.32/68.56 (define @t340 () (=> @t322 (= @t339 @t95))) % 68.32/68.56 (define @t341 () (forall @t323 @t340)) % 68.32/68.56 (define @t342 () (tptp.c_NthRoot_Oroot @t116 @t316)) % 68.32/68.56 (define @t343 () (= (tptp.c_NthRoot_Oroot @t124 @t35) @t342)) % 68.32/68.56 (define @t344 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t35)) % 68.32/68.56 (define @t345 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t116)) % 68.32/68.56 (define @t346 () (@list @t35 @t56 @t116)) % 68.32/68.56 (define @t347 () (tptp.hAPP @t72 @t316)) % 68.32/68.56 (define @t348 () (= (tptp.hAPP @t347 @t56) @t35)) % 68.32/68.56 (define @t349 () (@list @t35 @t56)) % 68.32/68.56 (define @t350 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t169)) % 68.32/68.56 (define @t351 () (@list @t35 @t34 @t36)) % 68.32/68.56 (define @t352 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t10)) % 68.32/68.56 (define @t353 () (tptp.c_Orderings_Oord__class_Oless @t36 @t34 @t35)) % 68.32/68.56 (define @t354 () (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t34)) % 68.32/68.56 (define @t355 () (not @t354)) % 68.32/68.56 (define @t356 () (= @t35 @t34)) % 68.32/68.56 (define @t357 () (not @t356)) % 68.32/68.56 (define @t358 () (=> @t357 (=> @t355 @t353))) % 68.32/68.56 (define @t359 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t169)) % 68.32/68.56 (define @t360 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t89)) % 68.32/68.56 (define @t361 () (not @t360)) % 68.32/68.56 (define @t362 () (and @t361 (not @t359))) % 68.32/68.56 (define @t363 () (and @t360 @t359)) % 68.32/68.56 (define @t364 () (@list @t169 @t89)) % 68.32/68.56 (define @t365 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t305)) % 68.32/68.56 (define @t366 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t305 @t87)) % 68.32/68.56 (define @t367 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t366)) % 68.32/68.56 (define @t368 () (@list @t87 @t305)) % 68.32/68.56 (define @t369 () (= (tptp.hAPP @t130 @t50) @t82)) % 68.32/68.56 (define @t370 () (= @t161 @t82)) % 68.32/68.56 (define @t371 () (tptp.hAPP @t193 @t161)) % 68.32/68.56 (define @t372 () (= @t219 @t82)) % 68.32/68.56 (define @t373 () (tptp.hAPP @t37 @t51)) % 68.32/68.56 (define @t374 () (= (tptp.hAPP @t373 @t145) (tptp.c_Groups_Oplus__class_Oplus @t36 @t189 @t188))) % 68.32/68.56 (define @t375 () (@var "V_e" $$unsorted)) % 68.32/68.56 (define @t376 () (tptp.class_Rings_Odivision__ring @t36)) % 68.32/68.56 (define @t377 () (tptp.class_Rings_Odivision__ring__inverse__zero @t36)) % 68.32/68.56 (define @t378 () (= (tptp.hAPP @t60 @t146) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t219 @t145))) % 68.32/68.56 (define @t379 () (forall @t153 (=> @t376 @t378))) % 68.32/68.56 (define @t380 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t56)) % 68.32/68.56 (define @t381 () (not @t380)) % 68.32/68.56 (define @t382 () (forall @t331 (=> @t381 @t257))) % 68.32/68.56 (define @t383 () (@list @t169 @t89 @t87)) % 68.32/68.56 (define @t384 () (@var "V_k" $$unsorted)) % 68.32/68.56 (define @t385 () (=> (= (tptp.hAPP (tptp.hAPP @t72 @t34) @t56) @t35) (= @t316 @t34))) % 68.32/68.56 (define @t386 () (@list @t35 @t34 @t56)) % 68.32/68.56 (define @t387 () (= (tptp.c_NthRoot_Oroot @t56 @t259) @t35)) % 68.32/68.56 (define @t388 () (tptp.hAPP @t60 @t50)) % 68.32/68.56 (define @t389 () (tptp.c_Orderings_Oord__class_Oless @t36 @t161 @t107)) % 68.32/68.56 (define @t390 () (tptp.c_Orderings_Oord__class_Oless @t36 @t107 @t161)) % 68.32/68.56 (define @t391 () (or (and @t234 @t390) (and @t224 @t389))) % 68.32/68.56 (define @t392 () (tptp.hAPP @t37 @t161)) % 68.32/68.56 (define @t393 () (tptp.hAPP @t392 @t190)) % 68.32/68.56 (define @t394 () (@list @t161 @t190 @t107 @t36)) % 68.32/68.56 (define @t395 () (tptp.hAPP @t37 @t190)) % 68.32/68.56 (define @t396 () (tptp.hAPP @t395 @t161)) % 68.32/68.56 (define @t397 () (tptp.hAPP @t395 @t107)) % 68.32/68.56 (define @t398 () (tptp.c_Orderings_Oord__class_Oless @t36 @t397 @t396)) % 68.32/68.56 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t49)) % 68.32/68.56 (define @t400 () (tptp.class_Rings_Olinordered__semiring__strict @t36)) % 68.32/68.56 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t36 @t219 @t82)) % 68.32/68.56 (define @t402 () (tptp.c_Orderings_Oord__class_Oless @t36 @t49 @t82)) % 68.32/68.56 (define @t403 () (tptp.hAPP @t187 @t50)) % 68.32/68.56 (define @t404 () (=> @t144 @t399)) % 68.32/68.56 (define @t405 () (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t82)) % 68.32/68.56 (define @t406 () (tptp.c_Orderings_Oord__class_Oless @t36 @t189 @t188)) % 68.32/68.56 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t36 @t182 @t181)) % 68.32/68.56 (define @t408 () (=> @t53 (=> @t152 @t407))) % 68.32/68.56 (define @t409 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t145)) % 68.32/68.56 (define @t410 () (tptp.c_Orderings_Oord__class_Oless @t36 @t49 @t409)) % 68.32/68.56 (define @t411 () (tptp.c_Orderings_Oord__class_Oless @t36 @t49 @t145)) % 68.32/68.56 (define @t412 () (=> @t411 @t410)) % 68.32/68.56 (define @t413 () (and @t101 @t176)) % 68.32/68.56 (define @t414 () (tptp.hAPP @t37 @t116)) % 68.32/68.56 (define @t415 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t47)) % 68.32/68.56 (define @t416 () (= @t206 @t205)) % 68.32/68.56 (define @t417 () (=> @t196 @t416)) % 68.32/68.56 (define @t418 () (=> @t376 @t417)) % 68.32/68.56 (define @t419 () (forall @t228 @t418)) % 68.32/68.56 (define @t420 () (= @t49 @t189)) % 68.32/68.56 (define @t421 () (=> @t420 (= @t146 @t50))) % 68.32/68.56 (define @t422 () (=> @t184 @t421)) % 68.32/68.56 (define @t423 () (=> @t376 @t422)) % 68.32/68.56 (define @t424 () (@list @t50 @t49 @t145 @t36)) % 68.32/68.56 (define @t425 () (forall @t424 @t423)) % 68.32/68.56 (define @t426 () (= @t50 @t146)) % 68.32/68.56 (define @t427 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t50 @t50)) % 68.32/68.56 (define @t428 () (=> @t134 (= @t427 @t47))) % 68.32/68.56 (define @t429 () (= @t107 @t161)) % 68.32/68.56 (define @t430 () (@list @t107 @t161 @t36)) % 68.32/68.56 (define @t431 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t34)) % 68.32/68.56 (define @t432 () (=> @t431 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t316 @t333))) % 68.32/68.56 (define @t433 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t89 @t169)) % 68.32/68.56 (define @t434 () (tptp.hAPP @t32 @t169)) % 68.32/68.56 (define @t435 () (= @t116 @t7)) % 68.32/68.56 (define @t436 () (@list @t56 @t116)) % 68.32/68.56 (define @t437 () (tptp.hAPP @t434 @t173)) % 68.32/68.56 (define @t438 () (tptp.hAPP @t336 @t173)) % 68.32/68.56 (define @t439 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t173)) % 68.32/68.56 (define @t440 () (@list @t169 @t89 @t173)) % 68.32/68.56 (define @t441 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t34)) % 68.32/68.56 (define @t442 () (@list @t34 @t35)) % 68.32/68.56 (define @t443 () (tptp.hAPP @t32 @t229)) % 68.32/68.56 (define @t444 () (@var "V_j" $$unsorted)) % 68.32/68.56 (define @t445 () (tptp.hAPP @t122 @t384)) % 68.32/68.56 (define @t446 () (tptp.hAPP @t445 @t444)) % 68.32/68.56 (define @t447 () (tptp.hAPP @t445 @t118)) % 68.32/68.56 (define @t448 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t384)) % 68.32/68.56 (define @t449 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t444)) % 68.32/68.56 (define @t450 () (@list @t384 @t444 @t118)) % 68.32/68.56 (define @t451 () (tptp.hAPP @t122 @t444)) % 68.32/68.56 (define @t452 () (tptp.hAPP @t451 @t384)) % 68.32/68.56 (define @t453 () (tptp.hAPP @t122 @t118)) % 68.32/68.56 (define @t454 () (tptp.hAPP @t453 @t384)) % 68.32/68.56 (define @t455 () (@list @t244)) % 68.32/68.56 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t244 @t229)) % 68.32/68.56 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t229 @t244)) % 68.32/68.56 (define @t458 () (@list @t244 @t229)) % 68.32/68.56 (define @t459 () (= @t229 @t244)) % 68.32/68.56 (define @t460 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 @t169)) % 68.32/68.56 (define @t461 () (not @t261)) % 68.32/68.56 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t34)) % 68.32/68.56 (define @t463 () (@list @t229 @t34 @t35)) % 68.32/68.56 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t47 @t50)) % 68.32/68.56 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t237)) % 68.32/68.56 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t89)) % 68.32/68.56 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t169)) % 68.32/68.56 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 @t83)) % 68.32/68.56 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t50)) % 68.32/68.56 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t161 @t82)) % 68.32/68.56 (define @t472 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t107 @t82)) % 68.32/68.56 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t161)) % 68.32/68.56 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t107)) % 68.32/68.56 (define @t475 () (or (and @t474 @t473) (and @t472 @t471))) % 68.32/68.56 (define @t476 () (or (and @t474 @t471) (and @t472 @t473))) % 68.32/68.56 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t219)) % 68.32/68.56 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t49)) % 68.32/68.56 (define @t479 () (tptp.class_Rings_Oordered__cancel__semiring @t36)) % 68.32/68.56 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t219 @t82)) % 68.32/68.56 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t49 @t82)) % 68.32/68.56 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t50 @t82)) % 68.32/68.56 (define @t483 () (tptp.class_Rings_Oordered__ring @t36)) % 68.32/68.56 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t189 @t188)) % 68.32/68.56 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t145)) % 68.32/68.56 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t50 @t49)) % 68.32/68.56 (define @t487 () (tptp.class_Rings_Oordered__semiring @t36)) % 68.32/68.56 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t182 @t181)) % 68.32/68.56 (define @t489 () (=> @t486 (=> @t485 @t488))) % 68.32/68.56 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t145 @t82)) % 68.32/68.56 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t49 @t50)) % 68.32/68.56 (define @t492 () (@var "V_d" $$unsorted)) % 68.32/68.56 (define @t493 () (tptp.hAPP @t187 @t492)) % 68.32/68.56 (define @t494 () (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t189 @t493))) % 68.32/68.56 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t145 @t492)) % 68.32/68.56 (define @t496 () (@list @t492 @t145 @t49 @t50 @t36)) % 68.32/68.56 (define @t497 () (tptp.hAPP @t32 @t173)) % 68.32/68.56 (define @t498 () (tptp.hAPP @t57 @t34)) % 68.32/68.56 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t34)) % 68.32/68.56 (define @t500 () (=> @t152 @t486)) % 68.32/68.56 (define @t501 () (@list @t49 @t145 @t50 @t36)) % 68.32/68.56 (define @t502 () (=> @t485 @t53)) % 68.32/68.56 (define @t503 () (=> @t407 @t502)) % 68.32/68.56 (define @t504 () (tptp.class_Rings_Olinordered__semiring @t36)) % 68.32/68.56 (define @t505 () (=> @t406 @t502)) % 68.32/68.56 (define @t506 () (tptp.c_Orderings_Oord__class_Oless @t36 @t189 @t493)) % 68.32/68.56 (define @t507 () (=> @t485 @t506)) % 68.32/68.56 (define @t508 () (tptp.c_Orderings_Oord__class_Oless @t36 @t145 @t492)) % 68.32/68.56 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t397 @t396)) % 68.32/68.56 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t107 @t161)) % 68.32/68.56 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t34 @t47)) % 68.32/68.56 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t34)) % 68.32/68.56 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t35)) % 68.32/68.56 (define @t514 () (tptp.c_Orderings_Oord__class_Oless @t36 @t59 @t209)) % 68.32/68.56 (define @t515 () (@list @t49 @t56 @t50 @t36)) % 68.32/68.56 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t154)) % 68.32/68.56 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t82)) % 68.32/68.56 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t154 @t82)) % 68.32/68.56 (define @t519 () (tptp.c_Rings_Oinverse__class_Odivide @t36 @t34 @t244)) % 68.32/68.56 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t244 @t229)) % 68.32/68.56 (define @t521 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t244)) % 68.32/68.56 (define @t522 () (@list @t229 @t244 @t34 @t35 @t36)) % 68.32/68.56 (define @t523 () (tptp.c_Orderings_Oord__class_Oless @t36 @t252 @t519)) % 68.32/68.56 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t89)) % 68.32/68.56 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t313)) % 68.32/68.56 (define @t526 () (@list @t35 @t56 @t36)) % 68.32/68.56 (define @t527 () (@var "V_P_2" $$unsorted)) % 68.32/68.56 (define @t528 () (tptp.hAPP @t527 @t87)) % 68.32/68.56 (define @t529 () (tptp.hBOOL (tptp.hAPP @t528 @t305))) % 68.32/68.56 (define @t530 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t305)) % 68.32/68.56 (define @t531 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t305 @t87)) % 68.32/68.56 (define @t532 () (@var "V_t" $$unsorted)) % 68.32/68.56 (define @t533 () (= @t116 @t56)) % 68.32/68.56 (define @t534 () (not @t533)) % 68.32/68.56 (define @t535 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t116)) % 68.32/68.56 (define @t536 () (@list @t116 @t56)) % 68.32/68.56 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t34)) % 68.32/68.56 (define @t538 () (not @t306)) % 68.32/68.56 (define @t539 () (@var "V_k_2" $$unsorted)) % 68.32/68.56 (define @t540 () (@list @t87 @t539 @t305)) % 68.32/68.56 (define @t541 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t539 @t87)) % 68.32/68.56 (define @t542 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t539 @t305)) % 68.32/68.56 (define @t543 () (@list @t87 @t305 @t539)) % 68.32/68.56 (define @t544 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t384)) % 68.32/68.56 (define @t545 () (@list @t384 @t56 @t116)) % 68.32/68.56 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t34 @t229)) % 68.32/68.56 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t116)) % 68.32/68.56 (define @t548 () (@var "V_z3" $$unsorted)) % 68.32/68.56 (define @t549 () (@var "V_z2" $$unsorted)) % 68.32/68.56 (define @t550 () (tptp.hAPP @t32 @t549)) % 68.32/68.56 (define @t551 () (@var "V_z1" $$unsorted)) % 68.32/68.56 (define @t552 () (tptp.hAPP @t32 @t551)) % 68.32/68.56 (define @t553 () (@list @t548 @t549 @t551)) % 68.32/68.56 (define @t554 () (tptp.hAPP @t122 @t56)) % 68.32/68.56 (define @t555 () (tptp.hAPP @t554 @t384)) % 68.32/68.56 (define @t556 () (tptp.hAPP @t554 @t116)) % 68.32/68.56 (define @t557 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t229)) % 68.32/68.56 (define @t558 () (@list @t229 @t244)) % 68.32/68.56 (define @t559 () (@var "V_v" $$unsorted)) % 68.32/68.56 (define @t560 () (@var "V_u" $$unsorted)) % 68.32/68.56 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP (tptp.hAPP @t37 @t560) @t35) (tptp.hAPP (tptp.hAPP @t37 @t559) @t34))) % 68.32/68.56 (define @t562 () (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t560 @t559) @t47)) % 68.32/68.56 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t559)) % 68.32/68.56 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t560)) % 68.32/68.56 (define @t565 () (@list @t559 @t560 @t34 @t50 @t35 @t36)) % 68.32/68.56 (define @t566 () (=> @t220 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t218 @t217))) % 68.32/68.56 (define @t567 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t194 @t161)) % 68.32/68.56 (define @t568 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t199 @t107)) % 68.32/68.56 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t161 @t194)) % 68.32/68.56 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t107 @t199)) % 68.32/68.56 (define @t571 () (= @t50 @t49)) % 68.32/68.56 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t35)) % 68.32/68.56 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 @t10)) % 68.32/68.56 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t35)) % 68.32/68.56 (define @t575 () (@var "V_x_1" $$unsorted)) % 68.32/68.56 (define @t576 () (@var "V_n_1" $$unsorted)) % 68.32/68.56 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t34)) % 68.32/68.56 (define @t578 () (@list @t87)) % 68.32/68.56 (define @t579 () (@list @t116)) % 68.32/68.56 (define @t580 () (= @t305 @t7)) % 68.32/68.56 (define @t581 () (tptp.hAPP @t122 @t305)) % 68.32/68.56 (define @t582 () (tptp.hAPP @t581 @t87)) % 68.32/68.56 (define @t583 () (= @t539 @t7)) % 68.32/68.56 (define @t584 () (or @t306 @t583)) % 68.32/68.56 (define @t585 () (tptp.hAPP @t122 @t539)) % 68.32/68.56 (define @t586 () (tptp.hAPP @t585 @t87)) % 68.32/68.56 (define @t587 () (tptp.hAPP @t585 @t305)) % 68.32/68.56 (define @t588 () (= @t587 @t586)) % 68.32/68.56 (define @t589 () (tptp.hAPP @t122 @t87)) % 68.32/68.56 (define @t590 () (tptp.hAPP @t589 @t539)) % 68.32/68.56 (define @t591 () (tptp.hAPP @t581 @t539)) % 68.32/68.56 (define @t592 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t444)) % 68.32/68.56 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t384 @t56)) % 68.32/68.56 (define @t594 () (@var "V_l" $$unsorted)) % 68.32/68.56 (define @t595 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t384 @t594)) % 68.32/68.56 (define @t596 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t444 @t594)) % 68.32/68.56 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t384)) % 68.32/68.56 (define @t598 () (@list @t594 @t384 @t444 @t118)) % 68.32/68.56 (define @t599 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t444 @t384)) % 68.32/68.56 (define @t600 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t444)) % 68.32/68.56 (define @t601 () (@list @t116 @t444 @t118)) % 68.32/68.56 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t444 @t116)) % 68.32/68.56 (define @t603 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t444 @t118)) % 68.32/68.56 (define @t604 () (tptp.hAPP @t32 @t190)) % 68.32/68.56 (define @t605 () (not (= @t190 @t83))) % 68.32/68.56 (define @t606 () (@list @t161 @t107 @t190)) % 68.32/68.56 (define @t607 () (tptp.hAPP @t123 @t384)) % 68.32/68.56 (define @t608 () (tptp.hAPP @t445 @t56)) % 68.32/68.56 (define @t609 () (tptp.hAPP @t445 @t116)) % 68.32/68.56 (define @t610 () (@list @t56 @t116 @t384)) % 68.32/68.56 (define @t611 () (tptp.hAPP @t32 @t10)) % 68.32/68.56 (define @t612 () (@list @t229)) % 68.32/68.56 (define @t613 () (@list @t244 @t549 @t551)) % 68.32/68.56 (define @t614 () (and (= @t305 @t132) (= @t87 @t132))) % 68.32/68.56 (define @t615 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t305)) % 68.32/68.56 (define @t616 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t539)) % 68.32/68.56 (define @t617 () (and @t616 @t531)) % 68.32/68.56 (define @t618 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t587 @t586)) % 68.32/68.56 (define @t619 () (tptp.c_Orderings_Oord__class_Oless @t36 @t51 @t82)) % 68.32/68.56 (define @t620 () (=> @t402 @t619)) % 68.32/68.56 (define @t621 () (tptp.class_Groups_Oordered__comm__monoid__add @t36)) % 68.32/68.56 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t49 @t145)) % 68.32/68.56 (define @t623 () (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t51)) % 68.32/68.56 (define @t624 () (=> @t399 @t623)) % 68.32/68.56 (define @t625 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t116)) % 68.32/68.56 (define @t626 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t444)) % 68.32/68.56 (define @t627 () (@var "B_n" $$unsorted)) % 68.32/68.56 (define @t628 () (@var "V_l_2" $$unsorted)) % 68.32/68.56 (define @t629 () (@list @t627)) % 68.32/68.56 (define @t630 () (@list @t628 @t539)) % 68.32/68.56 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t305 @t87)) % 68.32/68.56 (define @t632 () (or @t531 @t306)) % 68.32/68.56 (define @t633 () (@var "B_k" $$unsorted)) % 68.32/68.56 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t305 @t633)) % 68.32/68.56 (define @t635 () (@list @t633)) % 68.32/68.56 (define @t636 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t384 @t594)) % 68.32/68.56 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t384 @t56)) % 68.32/68.56 (define @t638 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t384)) % 68.32/68.56 (define @t639 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t638 @t56)) % 68.32/68.56 (define @t640 () (@list @t56 @t384 @t116)) % 68.32/68.56 (define @t641 () (tptp.hAPP @t123 @t116)) % 68.32/68.56 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t587 @t586)) % 68.32/68.56 (define @t643 () (= @t82 @t89)) % 68.32/68.56 (define @t644 () (=> @t616 @t631)) % 68.32/68.56 (define @t645 () (= (tptp.hAPP (tptp.hAPP @t37 @t219) @t145) (tptp.hAPP @t60 @t188))) % 68.32/68.56 (define @t646 () (tptp.class_Groups_Oab__semigroup__mult @t36)) % 68.32/68.56 (define @t647 () (forall @t153 (=> @t646 @t645))) % 68.32/68.56 (define @t648 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t49 @t145)) % 68.32/68.56 (define @t649 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t51 @t145)) % 68.32/68.56 (define @t650 () (= @t649 (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t648))) % 68.32/68.56 (define @t651 () (= @t161 @t190)) % 68.32/68.56 (define @t652 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t107 @t190)) % 68.32/68.56 (define @t653 () (tptp.class_Groups_Ocancel__semigroup__add @t36)) % 68.32/68.56 (define @t654 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t190 @t107)) % 68.32/68.56 (define @t655 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t161 @t107)) % 68.32/68.56 (define @t656 () (= @t49 @t145)) % 68.32/68.56 (define @t657 () (=> (= @t51 @t409) @t656)) % 68.32/68.56 (define @t658 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t145 @t50)) % 68.32/68.56 (define @t659 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t49 @t50)) % 68.32/68.56 (define @t660 () (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t82 @t50) @t50)) % 68.32/68.56 (define @t661 () (tptp.class_Groups_Omonoid__add @t36)) % 68.32/68.56 (define @t662 () (tptp.class_Groups_Ocomm__monoid__add @t36)) % 68.32/68.56 (define @t663 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t107 @t107)) % 68.32/68.56 (define @t664 () (tptp.class_Groups_Olinordered__ab__group__add @t36)) % 68.32/68.56 (define @t665 () (@list @t107 @t36)) % 68.32/68.56 (define @t666 () (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t82) @t50)) % 68.32/68.56 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t161 @t190)) % 68.32/68.56 (define @t668 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t36)) % 68.32/68.56 (define @t669 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t190 @t161)) % 68.32/68.56 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t409 @t648)) % 68.32/68.56 (define @t671 () (tptp.class_Groups_Oordered__ab__semigroup__add @t36)) % 68.32/68.56 (define @t672 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t145 @t49)) % 68.32/68.56 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t658 @t672)) % 68.32/68.56 (define @t674 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t49 @t492)) % 68.32/68.56 (define @t675 () (tptp.c_Orderings_Oord__class_Oless @t36 @t409 @t648)) % 68.32/68.56 (define @t676 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t36)) % 68.32/68.56 (define @t677 () (tptp.c_Orderings_Oord__class_Oless @t36 @t658 @t672)) % 68.32/68.56 (define @t678 () (tptp.c_Orderings_Oord__class_Oless @t36 @t409 @t674)) % 68.32/68.56 (define @t679 () (=> @t508 @t678)) % 68.32/68.56 (define @t680 () (tptp.hAPP (tptp.hAPP @t37 @t47) @t50)) % 68.32/68.56 (define @t681 () (= @t680 @t50)) % 68.32/68.56 (define @t682 () (=> @t125 @t681)) % 68.32/68.56 (define @t683 () (forall @t129 @t682)) % 68.32/68.56 (define @t684 () (tptp.hAPP @t60 @t47)) % 68.32/68.56 (define @t685 () (= @t684 @t50)) % 68.32/68.56 (define @t686 () (tptp.hAPP @t451 @t560)) % 68.32/68.56 (define @t687 () (tptp.hAPP @t453 @t560)) % 68.32/68.56 (define @t688 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t49 @t409)) % 68.32/68.56 (define @t689 () (= (tptp.c_Orderings_Oord__class_Oless @t36 @t663 @t82) @t163)) % 68.32/68.56 (define @t690 () (@var "V_q" $$unsorted)) % 68.32/68.56 (define @t691 () (@var "V_p" $$unsorted)) % 68.32/68.56 (define @t692 () (tptp.hAPP @t290 @t690)) % 68.32/68.56 (define @t693 () (tptp.hAPP @t290 @t691)) % 68.32/68.56 (define @t694 () (tptp.class_Rings_Ocomm__semiring__1 @t36)) % 68.32/68.56 (define @t695 () (@list @t690 @t691 @t35 @t36)) % 68.32/68.56 (define @t696 () (tptp.hAPP (tptp.hAPP @t37 @t415) @t116)) % 68.32/68.56 (define @t697 () (tptp.hAPP @t60 @t116)) % 68.32/68.56 (define @t698 () (@var "V_ry" $$unsorted)) % 68.32/68.56 (define @t699 () (@var "V_ly" $$unsorted)) % 68.32/68.56 (define @t700 () (tptp.hAPP @t37 @t699)) % 68.32/68.56 (define @t701 () (@var "V_rx" $$unsorted)) % 68.32/68.56 (define @t702 () (@var "V_lx" $$unsorted)) % 68.32/68.56 (define @t703 () (tptp.hAPP @t37 @t702)) % 68.32/68.56 (define @t704 () (tptp.hAPP @t37 (tptp.hAPP @t703 @t701))) % 68.32/68.56 (define @t705 () (tptp.hAPP @t37 @t701)) % 68.32/68.56 (define @t706 () (tptp.hAPP @t705 @t698)) % 68.32/68.56 (define @t707 () (tptp.hAPP @t37 (tptp.hAPP @t703 @t699))) % 68.32/68.56 (define @t708 () (tptp.hAPP @t707 @t706)) % 68.32/68.56 (define @t709 () (@list @t698 @t701 @t699 @t702 @t36)) % 68.32/68.56 (define @t710 () (tptp.hAPP @t707 @t701)) % 68.32/68.56 (define @t711 () (@list @t701 @t699 @t702 @t36)) % 68.32/68.56 (define @t712 () (tptp.hAPP @t703 @t706)) % 68.32/68.56 (define @t713 () (@list @t698 @t701 @t702 @t36)) % 68.32/68.56 (define @t714 () (= @t219 @t403)) % 68.32/68.56 (define @t715 () (forall @t55 (=> @t694 @t714))) % 68.32/68.56 (define @t716 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t145 @t492)) % 68.32/68.56 (define @t717 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t716)) % 68.32/68.56 (define @t718 () (@list @t492 @t145 @t50 @t36)) % 68.32/68.56 (define @t719 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t36)) % 68.32/68.56 (define @t720 () (@var "V_d_2" $$unsorted)) % 68.32/68.56 (define @t721 () (= @t190 @t720)) % 68.32/68.56 (define @t722 () (@list @t720 @t190 @t161 @t107 @t36)) % 68.32/68.56 (define @t723 () (@list @t229 @t34 @t35 @t36)) % 68.32/68.56 (define @t724 () (=> @t694 @t685)) % 68.32/68.56 (define @t725 () (forall @t129 @t724)) % 68.32/68.56 (define @t726 () (tptp.hAPP @t37 @t692)) % 68.32/68.56 (define @t727 () (tptp.hAPP @t122 @t691)) % 68.32/68.56 (define @t728 () (tptp.hAPP @t37 @t31)) % 68.32/68.56 (define @t729 () (tptp.class_Orderings_Opreorder @t36)) % 68.32/68.56 (define @t730 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t35 @t34)) % 68.32/68.56 (define @t731 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t50 @t49)) % 68.32/68.56 (define @t732 () (tptp.c_RealVector_Onorm__class_Onorm @t36 @t731)) % 68.32/68.56 (define @t733 () (= (tptp.c_RealVector_Oof__real @t36 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t35 @t34)) (tptp.c_Groups_Ominus__class_Ominus @t36 @t68 @t67))) % 68.32/68.56 (define @t734 () (tptp.hAPP @t37 @t730)) % 68.32/68.56 (define @t735 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t214 @t213)) % 68.32/68.56 (define @t736 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t107 @t161)) % 68.32/68.56 (define @t737 () (= @t736 @t82)) % 68.32/68.56 (define @t738 () (tptp.class_Groups_Ogroup__add @t36)) % 68.32/68.56 (define @t739 () (tptp.class_Groups_Oab__group__add @t36)) % 68.32/68.56 (define @t740 () (= @t736 (tptp.c_Groups_Ominus__class_Ominus @t36 @t190 @t720))) % 68.32/68.56 (define @t741 () (tptp.class_Groups_Oordered__ab__group__add @t36)) % 68.32/68.56 (define @t742 () (@var "V_e_2" $$unsorted)) % 68.32/68.56 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Groups_Ominus__class_Ominus @t36 @t161 @t107)) @t742) @t720)) % 68.32/68.56 (define @t744 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t392 @t742) @t720)) % 68.32/68.56 (define @t745 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t193 @t742) @t190)) % 68.32/68.56 (define @t746 () (= @t745 @t744)) % 68.32/68.56 (define @t747 () (tptp.class_Rings_Oring @t36)) % 68.32/68.56 (define @t748 () (@list @t720 @t161 @t190 @t742 @t107 @t36)) % 68.32/68.56 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP (tptp.hAPP @t37 @t736) @t742) @t190)) % 68.32/68.56 (define @t750 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t34 @t49)) % 68.32/68.56 (define @t751 () (tptp.hAPP @t37 (tptp.c_Groups_Ominus__class_Ominus @t36 @t35 @t50))) % 68.32/68.56 (define @t752 () (tptp.hAPP @t751 @t49)) % 68.32/68.56 (define @t753 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t39 @t219)) % 68.32/68.56 (define @t754 () (@list @t49 @t50 @t34 @t35 @t36)) % 68.32/68.56 (define @t755 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t745 @t744)) % 68.32/68.56 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t36 @t745 @t744)) % 68.32/68.56 (define @t757 () (@var "V_one_2" $$unsorted)) % 68.32/68.56 (define @t758 () (@var "V_times_2" $$unsorted)) % 68.32/68.56 (define @t759 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t36 @t757 @t758) @t107)) % 68.32/68.56 (define @t760 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t34 @t35)) % 68.32/68.56 (define @t761 () (tptp.class_Orderings_Olinorder @t36)) % 68.32/68.56 (define @t762 () (@var "T_b" $$unsorted)) % 68.32/68.56 (define @t763 () (tptp.tc_fun @t36 @t762)) % 68.32/68.56 (define @t764 () (tptp.c_Orderings_Oord__class_Oless__eq @t763 @t2 @t1)) % 68.32/68.56 (define @t765 () (tptp.class_Orderings_Oord @t762)) % 68.32/68.56 (define @t766 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t229 @t34)) % 68.32/68.56 (define @t767 () (tptp.class_Orderings_Oorder @t36)) % 68.32/68.56 (define @t768 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t34 @t229)) % 68.32/68.56 (define @t769 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t145 @t50)) % 68.32/68.56 (define @t770 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t50 @t145)) % 68.32/68.56 (define @t771 () (tptp.class_Orderings_Oord @t36)) % 68.32/68.56 (define @t772 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t89 @t169)) % 68.32/68.56 (define @t773 () (= @t772 @t261)) % 68.32/68.56 (define @t774 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t169 @t89)) % 68.32/68.56 (define @t775 () (@list @t89 @t169 @t36)) % 68.32/68.56 (define @t776 () (@list @t1 @t2 @t36 @t762)) % 68.32/68.56 (define @t777 () (tptp.c_Orderings_Oord__class_Oless @t36 @t169 @t89)) % 68.32/68.56 (define @t778 () (tptp.c_Orderings_Oord__class_Oless @t36 @t89 @t169)) % 68.32/68.56 (define @t779 () (not @t778)) % 68.32/68.56 (define @t780 () (= @t779 @t261)) % 68.32/68.56 (define @t781 () (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t145)) % 68.32/68.56 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t36 @t145 @t50)) % 68.32/68.56 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t229)) % 68.32/68.56 (define @t784 () (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t34 @t229) @t783)) % 68.32/68.56 (define @t785 () (tptp.c_Orderings_Oord__class_Oless @t36 @t229 @t35)) % 68.32/68.56 (define @t786 () (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t229 @t34) @t785)) % 68.32/68.56 (define @t787 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 68.32/68.56 (define @t788 () (tptp.hAPP @t787 @t35)) % 68.32/68.56 (define @t789 () (tptp.hAPP @t788 @t34)) % 68.32/68.56 (define @t790 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 68.32/68.56 (define @t791 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t49 @t492)) % 68.32/68.56 (define @t792 () (tptp.c_Groups_Ominus__class_Ominus @t36 @t50 @t145)) % 68.32/68.56 (define @t793 () (not @t571)) % 68.32/68.56 (define @t794 () (=> @t760 @t355)) % 68.32/68.56 (define @t795 () (forall @t351 (=> @t761 @t794))) % 68.32/68.56 (define @t796 () (not @t760)) % 68.32/68.56 (define @t797 () (=> @t796 @t354)) % 68.32/68.56 (define @t798 () (forall @t351 (=> @t761 @t797))) % 68.32/68.56 (define @t799 () (@var "V_h" $$unsorted)) % 68.32/68.56 (define @t800 () (@var "B_K" $$unsorted)) % 68.32/68.56 (define @t801 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.c_RealVector_Oof__real @t36 @t3)) (tptp.hAPP (tptp.hAPP @t32 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t800)))) % 68.32/68.56 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t800)) % 68.32/68.56 (define @t803 () (@list @t800)) % 68.32/68.56 (define @t804 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t805 () (= @t804 @t7)) % 68.32/68.56 (define @t806 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t594 @t116)) % 68.32/68.56 (define @t807 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t594 @t56)) % 68.32/68.56 (define @t808 () (@list @t594 @t56 @t116)) % 68.32/68.56 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t444 @t384)) % 68.32/68.56 (define @t810 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t384 @t116)) % 68.32/68.56 (define @t811 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t444)) % 68.32/68.56 (define @t812 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t811 @t384)) % 68.32/68.56 (define @t813 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t87 @t539)) % 68.32/68.56 (define @t814 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t305 @t539)) % 68.32/68.56 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t539 @t87)) % 68.32/68.56 (define @t816 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t539 @t305)) % 68.32/68.56 (define @t817 () (@list @t56 @t118)) % 68.32/68.56 (define @t818 () (tptp.hAPP @t790 @t384)) % 68.32/68.56 (define @t819 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 68.32/68.56 (define @t820 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t384)) % 68.32/68.56 (define @t821 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t118 @t444)) % 68.32/68.56 (define @t822 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 68.32/68.56 (define @t823 () (tptp.hAPP @t790 @t549)) % 68.32/68.56 (define @t824 () (tptp.hAPP @t823 @t244)) % 68.32/68.56 (define @t825 () (tptp.hAPP @t790 @t551)) % 68.32/68.56 (define @t826 () (tptp.hAPP @t825 @t244)) % 68.32/68.56 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t551 @t549)) % 68.32/68.56 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t551 @t549)) % 68.32/68.56 (define @t829 () (tptp.hAPP @t790 @t244)) % 68.32/68.56 (define @t830 () (tptp.hAPP @t829 @t549)) % 68.32/68.56 (define @t831 () (tptp.hAPP @t829 @t551)) % 68.32/68.56 (define @t832 () (@list @t549 @t551 @t244)) % 68.32/68.56 (define @t833 () (tptp.hAPP @t790 @t229)) % 68.32/68.56 (define @t834 () (tptp.hAPP @t2 @t107)) % 68.32/68.56 (define @t835 () (tptp.hAPP @t2 @t161)) % 68.32/68.56 (define @t836 () (tptp.hAPP @t32 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t835 @t834) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t161 @t107)))) % 68.32/68.56 (define @t837 () (@list @t305 @t87)) % 68.32/68.56 (define @t838 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t804) @t116)) % 68.32/68.56 (define @t839 () (not @t117)) % 68.32/68.56 (define @t840 () (@var "V_j_2" $$unsorted)) % 68.32/68.56 (define @t841 () (@var "V_i_2" $$unsorted)) % 68.32/68.56 (define @t842 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t841 @t539)) % 68.32/68.56 (define @t843 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t840 @t539)) % 68.32/68.56 (define @t844 () (@list @t539 @t840 @t841)) % 68.32/68.56 (define @t845 () (@list @t145 @t49 @t50)) % 68.32/68.56 (define @t846 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t444 @t384)) % 68.32/68.56 (define @t847 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t846 @t118)) % 68.32/68.56 (define @t848 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t603 @t384)) % 68.32/68.56 (define @t849 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t384 @t444)) % 68.32/68.56 (define @t850 () (@list @t118 @t444 @t384)) % 68.32/68.56 (define @t851 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t846)) % 68.32/68.56 (define @t852 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t592 @t384)) % 68.32/68.56 (define @t853 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t840 @t841)) % 68.32/68.56 (define @t854 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t841 @t840)) % 68.32/68.56 (define @t855 () (@list @t116 @t56 @t384)) % 68.32/68.56 (define @t856 () (@list @t50 @t49)) % 68.32/68.56 (define @t857 () (@var "B_d" $$unsorted)) % 68.32/68.56 (define @t858 () (tptp.hBOOL (tptp.hAPP @t527 @t857))) % 68.32/68.56 (define @t859 () (= @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t857))) % 68.32/68.56 (define @t860 () (@list @t857)) % 68.32/68.56 (define @t861 () (tptp.hBOOL (tptp.hAPP @t527 @t7))) % 68.32/68.56 (define @t862 () (not @t861)) % 68.32/68.56 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t107 @t161)) % 68.32/68.56 (define @t864 () (tptp.hBOOL (tptp.hAPP @t527 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t107 @t161)))) % 68.32/68.56 (define @t865 () (@list @t161 @t107 @t527)) % 68.32/68.56 (define @t866 () (@var "V_u_2" $$unsorted)) % 68.32/68.56 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t853) @t866) @t87)) % 68.32/68.56 (define @t868 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t840) @t866) @t87)) % 68.32/68.56 (define @t869 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t841) @t866) @t305)) % 68.32/68.56 (define @t870 () (= @t869 @t868)) % 68.32/68.56 (define @t871 () (@list @t87 @t305 @t866 @t840 @t841)) % 68.32/68.56 (define @t872 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t687 @t116) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t686 @t56))) % 68.32/68.56 (define @t873 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t869 @t868)) % 68.32/68.56 (define @t874 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t841 @t840)) @t866) @t305)) % 68.32/68.56 (define @t875 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t840 @t841)) % 68.32/68.56 (define @t876 () (@list @t87 @t305 @t866 @t841 @t840)) % 68.32/68.56 (define @t877 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t869 @t868)) % 68.32/68.56 (define @t878 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t132)) % 68.32/68.56 (define @t879 () (not @t435)) % 68.32/68.56 (define @t880 () (tptp.hAPP @t91 @t691)) % 68.32/68.56 (define @t881 () (tptp.hAPP @t880 @t116)) % 68.32/68.56 (define @t882 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t132)) % 68.32/68.56 (define @t883 () (tptp.hAPP @t57 @t116)) % 68.32/68.56 (define @t884 () (tptp.hAPP @t883 @t56)) % 68.32/68.56 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t800)) % 68.32/68.56 (define @t886 () (tptp.hAPP (tptp.hAPP @t32 (tptp.c_RealVector_Onorm__class_Onorm @t36 @t3)) @t800)) % 68.32/68.56 (define @t887 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.c_Rings_Oinverse__class_Odivide @t36 @t3 @t34)) @t886))) % 68.32/68.56 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t244 @t229)) % 68.32/68.56 (define @t889 () (@var "V_z_H" $$unsorted)) % 68.32/68.56 (define @t890 () (@var "V_w_H" $$unsorted)) % 68.32/68.56 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t118 @t444)) % 68.32/68.56 (define @t892 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t822 @t229)) % 68.32/68.56 (define @t893 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t170 @t173)) % 68.32/68.56 (define @t894 () (@list @t173 @t170)) % 68.32/68.56 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t170 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t173 @t822))) % 68.32/68.56 (define @t896 () (@list @t173)) % 68.32/68.56 (define @t897 () (tptp.hAPP @t790 @t50)) % 68.32/68.56 (define @t898 () (= @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t31 (tptp.hAPP @t897 @t690)))) % 68.32/68.56 (define @t899 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t50)) % 68.32/68.56 (define @t900 () (@list @t690 @t31 @t50)) % 68.32/68.56 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t31)) % 68.32/68.56 (define @t902 () (@var "V_q_H" $$unsorted)) % 68.32/68.56 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t902 @t690)) % 68.32/68.56 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t278 @t49)) % 68.32/68.56 (define @t905 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t278)) % 68.32/68.56 (define @t906 () (@var "V_r_H" $$unsorted)) % 68.32/68.56 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t906)) % 68.32/68.56 (define @t908 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t31 @t49)) % 68.32/68.56 (define @t909 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t790 @t278) @t902) @t906)) % 68.32/68.56 (define @t910 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t909 @t819)) % 68.32/68.56 (define @t911 () (tptp.hAPP @t790 @t49)) % 68.32/68.56 (define @t912 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t911 @t690) @t31)) % 68.32/68.56 (define @t913 () (= @t912 @t909)) % 68.32/68.56 (define @t914 () (@list @t906 @t902 @t278 @t31 @t690 @t49)) % 68.32/68.56 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t244 @t229)) % 68.32/68.56 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t229 @t244)) % 68.32/68.56 (define @t917 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t906 @t278)) % 68.32/68.56 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t909)) % 68.32/68.56 (define @t919 () (@list @t906 @t902 @t278)) % 68.32/68.56 (define @t920 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t911 @t902) @t906) @t912)) % 68.32/68.56 (define @t921 () (@list @t31 @t690 @t906 @t902 @t49)) % 68.32/68.56 (define @t922 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t690 @t902)) % 68.32/68.56 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t35)) % 68.32/68.56 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t34)) % 68.32/68.56 (define @t925 () (@var "B_b" $$unsorted)) % 68.32/68.56 (define @t926 () (@var "B_a" $$unsorted)) % 68.32/68.56 (define @t927 () (forall (@list @t926 @t925) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.hAPP (tptp.hAPP @t37 @t926) @t925)) (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP (tptp.hAPP @t32 (tptp.c_RealVector_Onorm__class_Onorm @t36 @t926)) (tptp.c_RealVector_Onorm__class_Onorm @t36 @t925))) @t800)))) % 68.32/68.56 (define @t928 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.hAPP @t38 @t3)) @t886))) % 68.32/68.56 (define @t929 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.hAPP (tptp.hAPP @t37 @t3) @t34)) @t886))) % 68.32/68.56 (define @t930 () (tptp.c_Nat__Transfer_Otsub @t35 @t34)) % 68.32/68.56 (define @t931 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t34 @t35)) % 68.32/68.56 (define @t932 () (=> @t931 (= @t930 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t35 @t34)))) % 68.32/68.56 (define @t933 () (@list @t35 @t34)) % 68.32/68.56 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t546)) % 68.32/68.56 (define @t935 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t34)) % 68.32/68.56 (define @t936 () (@list @t34 @t229 @t35)) % 68.32/68.56 (define @t937 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t546)) % 68.32/68.56 (define @t938 () (@var "B_i" $$unsorted)) % 68.32/68.56 (define @t939 () (tptp.hAPP @t527 @t938)) % 68.32/68.56 (define @t940 () (tptp.hBOOL @t939)) % 68.32/68.56 (define @t941 () (@list @t938)) % 68.32/68.56 (define @t942 () (@var "B_r" $$unsorted)) % 68.32/68.56 (define @t943 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t50)) % 68.32/68.56 (define @t944 () (@list @t50 @t56)) % 68.32/68.56 (define @t945 () (@var "B_y" $$unsorted)) % 68.32/68.56 (define @t946 () (@list @t945)) % 68.32/68.56 (define @t947 () (@list @t49 @t50)) % 68.32/68.56 (define @t948 () (tptp.c_RComplete_Onatceiling @t35)) % 68.32/68.56 (define @t949 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t35 @t10)) % 68.32/68.56 (define @t950 () (@list @t35)) % 68.32/68.56 (define @t951 () (@var "V_M_2" $$unsorted)) % 68.32/68.56 (define @t952 () (@var "V_X_2" $$unsorted)) % 68.32/68.56 (define @t953 () (tptp.hAPP @t952 @t951)) % 68.32/68.56 (define @t954 () (tptp.hAPP @t952 @t627)) % 68.32/68.56 (define @t955 () (tptp.c_RealVector_Onorm__class_Onorm @t762 @t954)) % 68.32/68.56 (define @t956 () (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t951 @t627)) % 68.32/68.56 (define @t957 () (tptp.class_RealVector_Oreal__normed__vector @t762)) % 68.32/68.56 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t83)) % 68.32/68.56 (define @t959 () (tptp.c_RComplete_Onatceiling @t89)) % 68.32/68.56 (define @t960 () (tptp.c_RComplete_Onatfloor @t35)) % 68.32/68.56 (define @t961 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t132)) % 68.32/68.56 (define @t962 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t56)) % 68.32/68.56 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t962 @t10)) % 68.32/68.56 (define @t964 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t960)) % 68.32/68.56 (define @t965 () (tptp.c_RComplete_Onatfloor @t50)) % 68.32/68.56 (define @t966 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t35)) % 68.32/68.56 (define @t967 () (@list @t50 @t35)) % 68.32/68.56 (define @t968 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t50)) % 68.32/68.56 (define @t969 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t35 @t968)) % 68.32/68.56 (define @t970 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t107)) % 68.32/68.56 (define @t971 () (tptp.c_RComplete_Onatfloor @t89)) % 68.32/68.56 (define @t972 () (@list @t107 @t89)) % 68.32/68.56 (define @t973 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t35 @t968)) % 68.32/68.56 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t968 @t35)) % 68.32/68.56 (define @t975 () (@list @t35 @t50)) % 68.32/68.56 (define @t976 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t91 @t116) @t56))) % 68.32/68.56 (define @t977 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t116)) % 68.32/68.56 (define @t978 () (tptp.hAPP (tptp.hAPP @t72 @t977) @t56)) % 68.32/68.56 (define @t979 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t305)) % 68.32/68.56 (define @t980 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t305)) % 68.32/68.56 (define @t981 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t87)) % 68.32/68.56 (define @t982 () (= @t87 @t305)) % 68.32/68.56 (define @t983 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t89)) % 68.32/68.56 (define @t984 () (tptp.hAPP @t32 @t962)) % 68.32/68.56 (define @t985 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t627)) % 68.32/68.56 (define @t986 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t31)) % 68.32/68.56 (define @t987 () (@list @t31)) % 68.32/68.56 (define @t988 () (tptp.class_Divides_Osemiring__div @t36)) % 68.32/68.56 (define @t989 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t990 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t609 @t608)) % 68.32/68.56 (define @t991 () (= @t990 @t989)) % 68.32/68.56 (define @t992 () (= @t384 @t7)) % 68.32/68.56 (define @t993 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t50 @t49)) % 68.32/68.56 (define @t994 () (tptp.hAPP @t122 @t49)) % 68.32/68.56 (define @t995 () (tptp.hAPP @t994 @t145)) % 68.32/68.56 (define @t996 () (=> @t117 (= @t989 @t7))) % 68.32/68.56 (define @t997 () (tptp.c_Divides_Odiv__class_Odiv @t36 @t50 @t49)) % 68.32/68.56 (define @t998 () (tptp.c_Divides_Odiv__class_Odiv @t36 @t182 @t181)) % 68.32/68.56 (define @t999 () (=> @t184 (= @t998 @t997))) % 68.32/68.56 (define @t1000 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t962 @t966)) % 68.32/68.56 (define @t1001 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t35))) % 68.32/68.56 (define @t1002 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t145 @t997)) % 68.32/68.56 (define @t1003 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t997 @t47)) % 68.32/68.56 (define @t1004 () (@var "B_j" $$unsorted)) % 68.32/68.56 (define @t1005 () (@list @t938 @t1004)) % 68.32/68.56 (define @t1006 () (@list @t539 @t87 @t527)) % 68.32/68.56 (define @t1007 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1000 @t1001)) % 68.32/68.56 (define @t1008 () (@list @t49)) % 68.32/68.56 (define @t1009 () (@list @t50)) % 68.32/68.56 (define @t1010 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t107 @t161)) % 68.32/68.56 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1010 @t819)) % 68.32/68.56 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t161)) % 68.32/68.56 (define @t1013 () (@list @t107 @t161)) % 68.32/68.56 (define @t1014 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t161 @t819)) % 68.32/68.56 (define @t1015 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t50 @t49)) % 68.32/68.56 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t49)) % 68.32/68.56 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t50 @t819)) % 68.32/68.56 (define @t1018 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t268 @t49)) % 68.32/68.56 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t819)) % 68.32/68.56 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t50 @t268)) % 68.32/68.56 (define @t1021 () (@list @t49 @t268 @t50)) % 68.32/68.56 (define @t1022 () (= @t1015 @t819)) % 68.32/68.56 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t50)) % 68.32/68.56 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t50 @t819)) % 68.32/68.56 (define @t1025 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t50 @t278)) % 68.32/68.56 (define @t1026 () (@list @t49 @t278 @t50)) % 68.32/68.56 (define @t1027 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1015 @t819)) % 68.32/68.56 (define @t1028 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t1010)) % 68.32/68.56 (define @t1029 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t50 @t49)) % 68.32/68.56 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t50)) % 68.32/68.56 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t107)) % 68.32/68.56 (define @t1032 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t841 @t539)) % 68.32/68.56 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t539)) % 68.32/68.56 (define @t1034 () (= @t539 @t819)) % 68.32/68.56 (define @t1035 () (= @t87 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t790 @t539) @t938) @t1004))) % 68.32/68.56 (define @t1036 () (@list @t1004)) % 68.32/68.56 (define @t1037 () (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t1004) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1004 @t539) @t1035)) % 68.32/68.56 (define @t1038 () (tptp.hAPP @t527 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t87 @t539))) % 68.32/68.56 (define @t1039 () (@var "V_b_1" $$unsorted)) % 68.32/68.56 (define @t1040 () (@var "V_a_1" $$unsorted)) % 68.32/68.56 (define @t1041 () (@var "V_r_1" $$unsorted)) % 68.32/68.56 (define @t1042 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t1039)) % 68.32/68.56 (define @t1043 () (@var "V_r2" $$unsorted)) % 68.32/68.56 (define @t1044 () (@var "V_r1" $$unsorted)) % 68.32/68.56 (define @t1045 () (tptp.c_Complex_Orcis @t1043 @t49)) % 68.32/68.56 (define @t1046 () (tptp.c_Complex_Orcis @t1044 @t50)) % 68.32/68.56 (define @t1047 () (@list @t49 @t1043 @t50 @t1044)) % 68.32/68.56 (define @t1048 () (tptp.c_Nat_OSuc @t7)) % 68.32/68.56 (define @t1049 () (tptp.hAPP @t787 @t384)) % 68.32/68.56 (define @t1050 () (tptp.c_Transcendental_Oln @t35)) % 68.32/68.56 (define @t1051 () (tptp.c_Nat_OSuc @t56)) % 68.32/68.56 (define @t1052 () (tptp.c_Nat_OSuc @t116)) % 68.32/68.56 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1052 @t1051)) % 68.32/68.56 (define @t1054 () (= @t87 @t1048)) % 68.32/68.56 (define @t1055 () (= @t305 @t1048)) % 68.32/68.56 (define @t1056 () (@list @t116 @t118)) % 68.32/68.56 (define @t1057 () (tptp.c_Nat_OSuc @t87)) % 68.32/68.56 (define @t1058 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1057 @t305)) % 68.32/68.56 (define @t1059 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t305 @t1057)) % 68.32/68.56 (define @t1060 () (tptp.c_Nat_OSuc @t305)) % 68.32/68.56 (define @t1061 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t1051)) % 68.32/68.56 (define @t1062 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1052 @t56)) % 68.32/68.56 (define @t1063 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t1060)) % 68.32/68.56 (define @t1064 () (= @t1063 @t982)) % 68.32/68.56 (define @t1065 () (tptp.hAPP @t122 (tptp.c_Nat_OSuc @t539))) % 68.32/68.56 (define @t1066 () (tptp.hAPP @t1065 @t87)) % 68.32/68.56 (define @t1067 () (tptp.hAPP @t1065 @t305)) % 68.32/68.56 (define @t1068 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1052 @t56)) % 68.32/68.56 (define @t1069 () (@var "V_nat_H" $$unsorted)) % 68.32/68.56 (define @t1070 () (@var "V_nat_H_1" $$unsorted)) % 68.32/68.56 (define @t1071 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1052 @t56)) % 68.32/68.56 (define @t1072 () (tptp.c_Nat_OSuc @t118)) % 68.32/68.56 (define @t1073 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t1051)) % 68.32/68.56 (define @t1074 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1052 @t56)) % 68.32/68.56 (define @t1075 () (tptp.c_Nat_OSuc @t143)) % 68.32/68.56 (define @t1076 () (tptp.c_Nat_OSuc @t35)) % 68.32/68.56 (define @t1077 () (@var "V_nat_H_2" $$unsorted)) % 68.32/68.56 (define @t1078 () (@var "V_nat_2" $$unsorted)) % 68.32/68.56 (define @t1079 () (or (and @t1055 @t88) (and @t580 @t1054))) % 68.32/68.56 (define @t1080 () (tptp.c_Nat_OSuc @t1048)) % 68.32/68.56 (define @t1081 () (tptp.hAPP @t58 @t1051)) % 68.32/68.56 (define @t1082 () (tptp.hAPP @t38 @t692)) % 68.32/68.56 (define @t1083 () (tptp.hAPP @t290 (tptp.c_Nat_OSuc @t690))) % 68.32/68.56 (define @t1084 () (@list @t690 @t35 @t36)) % 68.32/68.56 (define @t1085 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t1051)) % 68.32/68.56 (define @t1086 () (tptp.c_Transcendental_Oln @t169)) % 68.32/68.56 (define @t1087 () (tptp.c_Transcendental_Oln @t89)) % 68.32/68.56 (define @t1088 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t89)) % 68.32/68.56 (define @t1089 () (tptp.hAPP @t208 @t1051)) % 68.32/68.56 (define @t1090 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1048 @t116)) % 68.32/68.56 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1048 @t56)) % 68.32/68.56 (define @t1092 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t1051)) % 68.32/68.56 (define @t1093 () (tptp.c_Nat_OSuc @t444)) % 68.32/68.56 (define @t1094 () (tptp.c_Nat_OSuc @t846)) % 68.32/68.56 (define @t1095 () (@list @t116 @t444 @t384)) % 68.32/68.56 (define @t1096 () (tptp.hAPP @t122 @t1080)) % 68.32/68.56 (define @t1097 () (tptp.hAPP @t1096 @t945)) % 68.32/68.56 (define @t1098 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t35 @t1080)) % 68.32/68.56 (define @t1099 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1076 @t1080)) % 68.32/68.56 (define @t1100 () (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t35)) % 68.32/68.56 (define @t1101 () (not @t1100)) % 68.32/68.56 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t1050)) % 68.32/68.56 (define @t1103 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t1050)) % 68.32/68.56 (define @t1104 () (tptp.c_Nat_OSuc @t882)) % 68.32/68.56 (define @t1105 () (= @t989 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t804 @t56)))) % 68.32/68.56 (define @t1106 () (=> @t839 @t1105)) % 68.32/68.56 (define @t1107 () (tptp.hAPP @t1096 @t1098)) % 68.32/68.56 (define @t1108 () (tptp.c_Transcendental_Oln @t34)) % 68.32/68.56 (define @t1109 () (@var "B_N" $$unsorted)) % 68.32/68.56 (define @t1110 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t1109))) % 68.32/68.56 (define @t1111 () (@list @t1109)) % 68.32/68.56 (define @t1112 () (exists @t803 (and @t802 (forall @t629 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t955 @t800))))) % 68.32/68.56 (define @t1113 () (@list @t952 @t762)) % 68.32/68.56 (define @t1114 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t305 @t87)) % 68.32/68.56 (define @t1115 () (@var "V_q_2" $$unsorted)) % 68.32/68.56 (define @t1116 () (@var "B_q" $$unsorted)) % 68.32/68.56 (define @t1117 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t627))) % 68.32/68.56 (define @t1118 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t492)) % 68.32/68.56 (define @t1119 () (tptp.hAPP (tptp.hAPP @t37 @t997) @t49)) % 68.32/68.56 (define @t1120 () (tptp.c_Divides_Odiv__class_Omod @t36 @t50 @t49)) % 68.32/68.56 (define @t1121 () (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t187 @t997) @t1120)) % 68.32/68.56 (define @t1122 () (tptp.c_Groups_Oplus__class_Oplus @t36 @t1119 @t1120)) % 68.32/68.56 (define @t1123 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t116 @t56)) % 68.32/68.56 (define @t1124 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t50 @t49)) % 68.32/68.56 (define @t1125 () (= @t1124 @t50)) % 68.32/68.56 (define @t1126 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1124 @t819)) % 68.32/68.56 (define @t1127 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t1124)) % 68.32/68.56 (define @t1128 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t35 @t1080)) % 68.32/68.56 (define @t1129 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t89 @t1080)) % 68.32/68.56 (define @t1130 () (tptp.hAPP @t122 @t50)) % 68.32/68.56 (define @t1131 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t1123)) % 68.32/68.56 (define @t1132 () (tptp.hAPP (tptp.hAPP @t122 @t989) @t56)) % 68.32/68.56 (define @t1133 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t911 @t1015) @t1124)) % 68.32/68.56 (define @t1134 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t50 @t384)) % 68.32/68.56 (define @t1135 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t116 @t56)) % 68.32/68.56 (define @t1136 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t116 @t56)) % 68.32/68.56 (define @t1137 () (@var "T_1" $$unsorted)) % 68.32/68.56 (define @t1138 () (@var "T_2" $$unsorted)) % 68.32/68.56 (define @t1139 () (tptp.tc_fun @t1138 @t1137)) % 68.32/68.56 (define @t1140 () (@list @t1138 @t1137)) % 68.32/68.56 (define @t1141 () (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t1142 () (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 68.32/68.56 (define @t1143 () (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1144 () (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1145 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1146 () (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1147 () (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1148 () (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1149 () (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1150 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1151 () (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1152 () (tptp.hAPP @t32 @t14)) % 68.32/68.56 (define @t1153 () (tptp.hAPP @t1152 @t10)) % 68.32/68.56 (define @t1154 () (tptp.hAPP @t78 @t25)) % 68.32/68.56 (define @t1155 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t79 @t1154)) % 68.32/68.56 (define @t1156 () (tptp.hAPP @t1152 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1155))) % 68.32/68.56 (define @t1157 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1156 @t1153)) % 68.32/68.56 (define @t1158 () (not @t761)) % 68.32/68.56 (define @t1159 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1153 @t1156)) % 68.32/68.56 (define @t1160 () (not @t1141)) % 68.32/68.56 (define @t1161 () (or @t1160 @t1159 @t1157)) % 68.32/68.56 (define @t1162 () (@list true false false)) % 68.32/68.56 (define @t1163 () (tptp.hAPP @t77 @t13)) % 68.32/68.56 (define @t1164 () (tptp.hAPP @t1163 @t1155)) % 68.32/68.56 (define @t1165 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1164)) % 68.32/68.56 (define @t1166 () (not @t1143)) % 68.32/68.56 (define @t1167 () (or @t1166 (= @t1165 @t1156))) % 68.32/68.56 (define @t1168 () (forall @t70 (or (not @t293) @t309))) % 68.32/68.56 (define @t1169 () (= @t1156 @t1165)) % 68.32/68.56 (define @t1170 () (or @t1166 @t1169)) % 68.32/68.56 (define @t1171 () (@list false)) % 68.32/68.56 (define @t1172 () (@list false false)) % 68.32/68.56 (define @t1173 () (tptp.hAPP @t1163 @t1154)) % 68.32/68.56 (define @t1174 () (= @t1164 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex (tptp.hAPP @t1163 @t79) @t1173))) % 68.32/68.56 (define @t1175 () (not @t1144)) % 68.32/68.56 (define @t1176 () (or @t1175 @t1174)) % 68.32/68.56 (define @t1177 () (= @t1173 (tptp.hAPP (tptp.hAPP @t77 @t1154) @t13))) % 68.32/68.56 (define @t1178 () (not @t1150)) % 68.32/68.56 (define @t1179 () (or @t1178 @t1177)) % 68.32/68.56 (define @t1180 () (= @t195 @t206)) % 68.32/68.56 (define @t1181 () (= @t82 @t190)) % 68.32/68.56 (define @t1182 () (not @t376)) % 68.32/68.56 (define @t1183 () (or @t1182 @t1181 @t1180)) % 68.32/68.56 (define @t1184 () (not @t1181)) % 68.32/68.56 (define @t1185 () (not @t1184)) % 68.32/68.56 (define @t1186 () (=> @t1184 @t1180)) % 68.32/68.56 (define @t1187 () (tptp.hAPP @t1163 tptp.v_b)) % 68.32/68.56 (define @t1188 () (= @t12 @t1187)) % 68.32/68.56 (define @t1189 () (= @t13 @t13)) % 68.32/68.56 (define @t1190 () (not @t1151)) % 68.32/68.56 (define @t1191 () (= @t8 tptp.v_b)) % 68.32/68.56 (define @t1192 () (or @t1190 @t1191 (= @t1188 @t1189))) % 68.32/68.56 (define @t1193 () (forall @t228 @t1183)) % 68.32/68.56 (define @t1194 () (or @t1190 @t9 @t1188)) % 68.32/68.56 (define @t1195 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t1187 tptp.v_b)) % 68.32/68.56 (define @t1196 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex tptp.v_b tptp.v_b)) % 68.32/68.56 (define @t1197 () (tptp.hAPP @t1163 @t1196)) % 68.32/68.56 (define @t1198 () (= @t1197 @t1195)) % 68.32/68.56 (define @t1199 () (or @t1190 @t1198)) % 68.32/68.56 (define @t1200 () (tptp.hAPP @t77 @t25)) % 68.32/68.56 (define @t1201 () (tptp.hAPP @t1200 tptp.v_b)) % 68.32/68.56 (define @t1202 () (= @t1154 @t1201)) % 68.32/68.56 (define @t1203 () (or @t1178 @t1202)) % 68.32/68.56 (define @t1204 () (tptp.hAPP @t77 @t1201)) % 68.32/68.56 (define @t1205 () (tptp.hAPP @t1204 @t13)) % 68.32/68.56 (define @t1206 () (tptp.hAPP @t78 @t13)) % 68.32/68.56 (define @t1207 () (= @t1205 (tptp.hAPP @t1200 @t1206))) % 68.32/68.56 (define @t1208 () (not @t1148)) % 68.32/68.56 (define @t1209 () (or @t1208 @t1207)) % 68.32/68.56 (define @t1210 () (= @t1187 @t1206)) % 68.32/68.56 (define @t1211 () (or @t1178 @t1210)) % 68.32/68.56 (define @t1212 () (tptp.hAPP @t77 @t29)) % 68.32/68.56 (define @t1213 () (tptp.hAPP @t1212 (tptp.hAPP (tptp.hAPP @t15 @t27) tptp.v_na____))) % 68.32/68.56 (define @t1214 () (tptp.hAPP (tptp.hAPP @t77 @t28) @t27)) % 68.32/68.56 (define @t1215 () (= (tptp.hAPP (tptp.hAPP @t15 @t1214) tptp.v_na____) @t1213)) % 68.32/68.56 (define @t1216 () (not @t1149)) % 68.32/68.56 (define @t1217 () (or @t1216 @t1215)) % 68.32/68.56 (define @t1218 () (= @t82 @t107)) % 68.32/68.56 (define @t1219 () (and (=> @t1184 @t195) (=> @t1181 @t1218))) % 68.32/68.56 (define @t1220 () (= @t206 @t1219)) % 68.32/68.56 (define @t1221 () (not @t185)) % 68.32/68.56 (define @t1222 () (= @t8 @t27)) % 68.32/68.56 (define @t1223 () (not @t1222)) % 68.32/68.56 (define @t1224 () (= tptp.v_v____ @t1214)) % 68.32/68.56 (define @t1225 () (or @t1222 @t1224)) % 68.32/68.56 (define @t1226 () (and @t1225 (or @t1223 (= @t8 @t28)))) % 68.32/68.56 (define @t1227 () (= (= @t28 @t28) @t1226)) % 68.32/68.56 (define @t1228 () (not @t1147)) % 68.32/68.56 (define @t1229 () (or @t1228 @t1227)) % 68.32/68.56 (define @t1230 () (forall @t203 (or @t1221 (= @t206 (and (or @t1181 @t195) (or @t1184 @t1218)))))) % 68.32/68.56 (define @t1231 () (or @t1228 @t1226)) % 68.32/68.56 (define @t1232 () (= @t83 @t89)) % 68.32/68.56 (define @t1233 () (= (= @t82 @t96) @t1232)) % 68.32/68.56 (define @t1234 () (= @t83 @t26)) % 68.32/68.56 (define @t1235 () (= @t1222 @t1234)) % 68.32/68.56 (define @t1236 () (not @t1146)) % 68.32/68.56 (define @t1237 () (or @t1236 @t1235)) % 68.32/68.56 (define @t1238 () (forall @t99 (or (not @t65) @t1233))) % 68.32/68.56 (define @t1239 () (= @t26 @t83)) % 68.32/68.56 (define @t1240 () (= @t1222 @t1239)) % 68.32/68.56 (define @t1241 () (or @t1236 @t1240)) % 68.32/68.56 (define @t1242 () (= @t1232 (= @t83 @t321))) % 68.32/68.56 (define @t1243 () (= @t83 @t11)) % 68.32/68.56 (define @t1244 () (= @t1243 @t1234)) % 68.32/68.56 (define @t1245 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 tptp.v_na____)) % 68.32/68.56 (define @t1246 () (not @t1245)) % 68.32/68.56 (define @t1247 () (or @t1246 @t1244)) % 68.32/68.56 (define @t1248 () (forall @t323 (or (not @t322) @t1242))) % 68.32/68.56 (define @t1249 () (= @t11 @t83)) % 68.32/68.56 (define @t1250 () (= @t1249 @t1239)) % 68.32/68.56 (define @t1251 () (or @t1246 @t1250)) % 68.32/68.56 (define @t1252 () (or @t21 @t1245)) % 68.32/68.56 (define @t1253 () (@list true false)) % 68.32/68.56 (define @t1254 () (= @t83 @t102)) % 68.32/68.56 (define @t1255 () (= @t643 @t1254)) % 68.32/68.56 (define @t1256 () (not @t1145)) % 68.32/68.56 (define @t1257 () (or @t1256 (= @t1191 @t1243))) % 68.32/68.56 (define @t1258 () (forall @t99 (or (not @t85) @t1255))) % 68.32/68.56 (define @t1259 () (@list tptp.v_b tptp.tc_Complex_Ocomplex)) % 68.32/68.56 (define @t1260 () (= @t9 @t1249)) % 68.32/68.56 (define @t1261 () (or @t1256 @t1260)) % 68.32/68.56 (define @t1262 () (not @t1249)) % 68.32/68.56 (define @t1263 () (not @t1239)) % 68.32/68.56 (define @t1264 () (= @t50 (tptp.c_Rings_Oinverse__class_Odivide @t36 @t189 @t145))) % 68.32/68.56 (define @t1265 () (= @t82 @t145)) % 68.32/68.56 (define @t1266 () (or @t1182 @t1265 @t1264)) % 68.32/68.56 (define @t1267 () (not (= @t189 @t189))) % 68.32/68.56 (define @t1268 () (or @t1182 @t1265 @t1267 @t1264)) % 68.32/68.56 (define @t1269 () (@list @t50 @t145 @t36)) % 68.32/68.56 (define @t1270 () (not @t420)) % 68.32/68.56 (define @t1271 () (or @t1270 @t1182 @t1265 @t1270 @t426)) % 68.32/68.56 (define @t1272 () (or @t1182 @t1265 @t1270 @t426)) % 68.32/68.56 (define @t1273 () (forall @t1008 @t1272)) % 68.32/68.56 (define @t1274 () (forall @t1269 @t1273)) % 68.32/68.56 (define @t1275 () (forall (@list @t50 @t145 @t36 @t49) @t1272)) % 68.32/68.56 (define @t1276 () (or @t1265 @t1270 @t426)) % 68.32/68.56 (define @t1277 () (=> @t420 @t426)) % 68.32/68.56 (define @t1278 () (not @t1265)) % 68.32/68.56 (define @t1279 () (=> @t1278 @t1277)) % 68.32/68.56 (define @t1280 () (tptp.hAPP (tptp.hAPP @t77 @t79) tptp.v_b)) % 68.32/68.56 (define @t1281 () (= @t79 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t1280 tptp.v_b))) % 68.32/68.56 (define @t1282 () (or @t1190 @t1191 @t1281)) % 68.32/68.56 (define @t1283 () (forall @t1269 @t1266)) % 68.32/68.56 (define @t1284 () (or @t1190 @t9 @t1281)) % 68.32/68.56 (define @t1285 () (tptp.hAPP @t78 @t79)) % 68.32/68.56 (define @t1286 () (or @t1178 (= @t1280 @t1285))) % 68.32/68.56 (define @t1287 () (forall @t55 (or (not @t694) @t714))) % 68.32/68.56 (define @t1288 () (= @t1285 @t1280)) % 68.32/68.56 (define @t1289 () (or @t1178 @t1288)) % 68.32/68.56 (define @t1290 () (= @t50 @t684)) % 68.32/68.56 (define @t1291 () (= tptp.v_b @t1285)) % 68.32/68.56 (define @t1292 () (or @t1178 @t1291)) % 68.32/68.56 (define @t1293 () (tptp.hAPP @t77 @t1197)) % 68.32/68.56 (define @t1294 () (tptp.hAPP @t611 @t14)) % 68.32/68.56 (define @t1295 () (= @t50 @t680)) % 68.32/68.56 (define @t1296 () (= @t14 @t1294)) % 68.32/68.56 (define @t1297 () (not @t1142)) % 68.32/68.56 (define @t1298 () (or @t1297 @t1296)) % 68.32/68.56 (define @t1299 () (tptp.c_RComplete_Onatfloor @t14)) % 68.32/68.56 (define @t1300 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t19)) % 68.32/68.56 (define @t1301 () (not @t20)) % 68.32/68.56 (define @t1302 () (not @t1300)) % 68.32/68.56 (define @t1303 () (or @t1160 @t1302 @t1301)) % 68.32/68.56 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 68.32/68.56 (assume @p2 (not (= tptp.v_na____ @t7))) % 68.32/68.56 (assume @p3 (not @t9)) % 68.32/68.56 (assume @p4 (= @t14 @t10)) % 68.32/68.56 (assume @p5 @t20) % 68.32/68.56 (assume @p6 (not @t21)) % 68.32/68.56 (assume @p7 (exists @t24 @t23)) % 68.32/68.56 (assume @p8 (not (forall @t24 (not @t23)))) % 68.32/68.56 (assume @p9 (not (= tptp.v_n @t7))) % 68.32/68.56 (assume @p10 (= @t29 @t25)) % 68.32/68.56 (assume @p11 (forall @t46 (=> @t45 (=> @t44 (=> @t42 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40 (tptp.hAPP @t33 @t30))))))) % 68.32/68.56 (assume @p12 (forall @t55 (=> @t54 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t52))))) % 68.32/68.56 (assume @p13 (forall @t55 (=> @t54 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t36 @t52 @t49))))) % 68.32/68.56 (assume @p14 (forall @t64 (=> @t63 (=> @t62 (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t61))))) % 68.32/68.56 (assume @p15 (forall @t64 (=> @t63 (=> @t62 (tptp.c_Orderings_Oord__class_Oless @t36 @t59 @t61))))) % 68.32/68.56 (assume @p16 (forall @t66 (=> @t65 (= (tptp.c_RealVector_Oof__real @t36 @t10) @t47)))) % 68.32/68.56 (assume @p17 (forall @t70 (=> @t65 (= (tptp.c_RealVector_Oof__real @t36 @t69) (tptp.hAPP (tptp.hAPP @t37 @t68) @t67))))) % 68.32/68.56 (assume @p18 (forall @t66 (=> @t71 (= (tptp.c_RealVector_Onorm__class_Onorm @t36 @t47) @t10)))) % 68.32/68.56 (assume @p19 (= @t73 @t11)) % 68.32/68.56 (assume @p20 (forall @t81 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t74 tptp.v_na____) (=> (not (= @t74 @t7)) (exists @t80 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t79 (tptp.hAPP @t78 (tptp.hAPP @t76 @t74)))) @t10)))))) % 68.32/68.56 (assume @p21 (forall @t66 (=> @t65 @t84))) % 68.32/68.56 (assume @p22 (forall @t66 (=> @t86 @t84))) % 68.32/68.56 (assume @p23 (forall @t66 (=> @t85 (= (tptp.c_RealVector_Onorm__class_Onorm @t36 @t82) @t83)))) % 68.32/68.56 (assume @p24 (forall @t94 (= @t93 (or @t90 @t88)))) % 68.32/68.56 (assume @p25 @t100) % 68.32/68.56 (assume @p26 @t105) % 68.32/68.56 (assume @p27 (forall @t115 (=> (and @t114 @t113 @t112 @t111) (= (= @t110 @t82) (and @t108 @t106))))) % 68.32/68.56 (assume @p28 (forall (@list @t56 @t116 @t118) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t118) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t119 @t116) @t120) @t117)))) % 68.32/68.56 (assume @p29 (forall @t126 (=> @t125 (= (tptp.hAPP @t58 @t124) (tptp.hAPP (tptp.hAPP @t57 @t121) @t56))))) % 68.32/68.56 (assume @p30 (forall @t127 (=> @t45 (= (tptp.hAPP @t38 @t82) @t82)))) % 68.32/68.56 (assume @p31 (forall @t129 (=> @t45 @t128))) % 68.32/68.56 (assume @p32 (forall @t131 (=> @t45 (= (tptp.hAPP @t130 @t34) @t82)))) % 68.32/68.56 (assume @p33 (forall (@list @t49 @t36) (=> @t45 (= (tptp.hAPP @t130 @t49) @t82)))) % 68.32/68.56 (assume @p34 (forall @t129 (=> @t125 (= (tptp.hAPP @t58 @t132) @t50)))) % 68.32/68.56 (assume @p35 (forall @t64 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t36) (=> @t134 (not (= @t59 @t82)))))) % 68.32/68.56 (assume @p36 (forall @t131 (=> @t135 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t82 @t34) @t82)))) % 68.32/68.56 (assume @p37 (forall @t141 (=> @t140 (and (=> @t138 (= @t137 @t47)) (=> @t139 (= @t137 @t82)))))) % 68.32/68.56 (assume @p38 (forall @t99 (=> @t85 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t102) @t142)))) % 68.32/68.56 (assume @p39 (forall @t126 (=> @t125 (= (tptp.hAPP @t58 @t143) (tptp.hAPP (tptp.hAPP @t37 @t121) @t59))))) % 68.32/68.56 (assume @p40 (forall @t64 (=> @t63 (=> @t144 (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t59))))) % 68.32/68.56 (assume @p41 (forall @t151 (=> @t54 (=> @t150 (=> @t149 @t148))))) % 68.32/68.56 (assume @p42 (forall @t153 (=> @t54 (=> @t53 (=> @t152 @t148))))) % 68.32/68.56 (assume @p43 (forall @t70 (=> @t54 (=> @t157 (=> @t156 @t155))))) % 68.32/68.56 (assume @p44 (forall @t70 (=> @t54 (=> @t157 (=> @t159 @t158))))) % 68.32/68.56 (assume @p45 (forall @t70 (=> @t54 (=> @t160 (=> @t156 @t158))))) % 68.32/68.56 (assume @p46 (forall @t70 (=> @t54 (=> @t160 (=> @t159 @t155))))) % 68.32/68.56 (assume @p47 (forall @t168 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t166 @t82) (or (and @t165 @t164) (and @t163 @t162)))))) % 68.32/68.56 (assume @p48 (forall @t168 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t166) (or (and @t165 @t162) (and @t163 @t164)))))) % 68.32/68.56 (assume @p49 (forall (@list @t170 @t89 @t173 @t169 @t36) (=> @t178 (=> @t177 (=> (not (= @t173 @t82)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t89 @t169) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t170 @t173)) (= @t175 @t172))))))) % 68.32/68.56 (assume @p50 (forall @t186 (=> @t185 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t182 @t181) @t179))))) % 68.32/68.56 (assume @p51 (forall @t186 (=> @t185 (=> @t184 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t189 @t188) @t179))))) % 68.32/68.56 (assume @p52 @t204) % 68.32/68.56 (assume @p53 (forall @t207 (=> @t185 (= @t206 (and (=> @t196 @t205) @t192))))) % 68.32/68.56 (assume @p54 (forall (@list @t56 @t50 @t49 @t36) (=> @t178 (=> @t212 @t210)))) % 68.32/68.56 (assume @p55 (forall @t129 (=> @t114 (= (tptp.hAPP @t58 @t7) @t47)))) % 68.32/68.56 (assume @p56 (forall @t216 (=> @t135 (=> @t212 @t215)))) % 68.32/68.56 (assume @p57 (forall @t153 (=> @t54 (=> @t53 (=> @t149 @t221))))) % 68.32/68.56 (assume @p58 (forall @t151 (=> @t54 (=> @t150 (=> @t152 @t221))))) % 68.32/68.56 (assume @p59 (forall @t225 (=> @t54 (=> @t224 (= @t223 @t222))))) % 68.32/68.56 (assume @p60 (forall @t228 (=> @t54 (=> @t224 (= @t227 @t226))))) % 68.32/68.56 (assume @p61 (forall @t232 (=> @t54 (=> @t159 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t231 @t35) (tptp.c_Orderings_Oord__class_Oless @t36 @t229 @t154)))))) % 68.32/68.56 (assume @p62 (forall @t233 (=> @t54 (=> @t159 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t231) (tptp.c_Orderings_Oord__class_Oless @t36 @t154 @t229)))))) % 68.32/68.56 (assume @p63 (forall @t225 (=> @t54 (=> @t234 (= @t223 @t226))))) % 68.32/68.56 (assume @p64 (forall @t228 (=> @t54 (=> @t234 (= @t227 @t222))))) % 68.32/68.56 (assume @p65 (forall @t203 (=> @t167 (= @t223 (and (=> @t234 @t226) (=> @t236 (and (=> @t224 @t222) (=> @t235 @t165)))))))) % 68.32/68.56 (assume @p66 (forall @t207 (=> @t167 (= @t227 (and (=> @t234 @t222) (=> @t236 (and (=> @t224 @t226) (=> @t235 @t163)))))))) % 68.32/68.56 (assume @p67 (forall @t241 (=> @t63 (=> @t240 (=> @t144 (=> @t239 (tptp.c_Orderings_Oord__class_Oless @t36 @t238 @t59))))))) % 68.32/68.56 (assume @p68 (forall @t250 (=> @t178 (=> @t249 (=> @t248 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t154 @t247) (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Oplus__class_Oplus @t36 @t246 @t245) @t243))))))) % 68.32/68.56 (assume @p69 (forall @t253 (=> @t178 (=> @t248 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t252 @t34) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t251 @t229)))))) % 68.32/68.56 (assume @p70 (forall @t233 (=> @t185 (=> @t249 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t154 @t229) @t254))))) % 68.32/68.56 (assume @p71 (forall @t253 (=> @t178 (=> @t248 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t35 @t256) (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Oplus__class_Oplus @t36 @t255 @t34) @t229)))))) % 68.32/68.56 (assume @p72 (forall @t232 (=> @t185 (=> @t249 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t229 @t154) @t254))))) % 68.32/68.56 (assume @p73 (forall @t64 (=> @t63 (=> @t62 (=> @t257 (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t59)))))) % 68.32/68.56 (assume @p74 (forall @t260 (= (tptp.hAPP (tptp.hAPP @t15 (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t35)) @t56) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t259)))) % 68.32/68.56 (assume @p75 (forall @t64 (=> @t63 (=> @t144 (=> @t239 (tptp.c_Orderings_Oord__class_Oless @t36 @t61 @t59)))))) % 68.32/68.56 (assume @p76 (forall @t262 (=> @t65 (= (= @t96 (tptp.c_RealVector_Oof__real @t36 @t169)) @t261)))) % 68.32/68.56 (assume @p77 (forall @t267 (=> @t45 (= (tptp.hAPP (tptp.hAPP @t37 @t266) @t263) (tptp.c_Groups_Oplus__class_Oplus @t36 @t265 @t264))))) % 68.32/68.56 (assume @p78 (forall @t270 (=> @t45 (= (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t268)) @t49) (tptp.c_Groups_Oplus__class_Oplus @t36 @t219 @t269))))) % 68.32/68.56 (assume @p79 @t277) % 68.32/68.56 (assume @p80 (forall @t280 (=> @t45 (= (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus @t36 @t49 @t278)) (tptp.c_Groups_Oplus__class_Oplus @t36 @t219 @t279))))) % 68.32/68.56 (assume @p81 @t285) % 68.32/68.56 (assume @p82 (forall @t64 (=> @t125 (= @t286 @t61)))) % 68.32/68.56 (assume @p83 (forall (@list @t244 @t229 @t34 @t35 @t36) (=> @t185 (= (tptp.hAPP (tptp.hAPP @t37 @t154) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t229 @t244)) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t246 (tptp.hAPP @t242 @t244)))))) % 68.32/68.56 (assume @p84 (forall @t141 (=> @t125 (= (tptp.hAPP (tptp.hAPP @t57 @t47) @t56) @t47)))) % 68.32/68.56 (assume @p85 (forall @t267 (=> @t135 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t266 @t263) (tptp.c_Groups_Oplus__class_Oplus @t36 @t288 @t287))))) % 68.32/68.56 (assume @p86 (forall @t284 (=> @t185 @t210))) % 68.32/68.56 (assume @p87 (forall @t294 (=> @t293 (= @t292 @t289)))) % 68.32/68.56 (assume @p88 (forall @t55 (=> (and @t185 @t135) @t215))) % 68.32/68.56 (assume @p89 (forall @t70 (=> @t86 @t295))) % 68.32/68.56 (assume @p90 (forall @t70 (=> @t65 @t295))) % 68.32/68.56 (assume @p91 (forall @t294 (=> @t65 (= (tptp.c_RealVector_Oof__real @t36 @t259) (tptp.hAPP (tptp.hAPP @t57 @t68) @t56))))) % 68.32/68.56 (assume @p92 (forall @t70 (=> (and @t185 @t298) @t297))) % 68.32/68.56 (assume @p93 (forall @t241 (=> @t63 (=> @t240 (=> @t62 (tptp.c_Orderings_Oord__class_Oless @t36 @t59 @t238)))))) % 68.32/68.56 (assume @p94 (forall @t126 (=> @t63 (=> @t62 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t121 @t59) @t117))))) % 68.32/68.56 (assume @p95 (forall @t304 (=> @t63 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t302 @t301) @t299))))) % 68.32/68.56 (assume @p96 (forall (@list @t87 @t305 @t107 @t36) (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t107) (= (= (tptp.hAPP @t109 @t305) @t110) @t306))))) % 68.32/68.56 (assume @p97 (forall @t64 (=> @t185 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t47 @t59) (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Rings_Oinverse__class_Odivide @t36 @t47 @t50)) @t56))))) % 68.32/68.56 (assume @p98 (forall @t46 (=> @t85 (=> @t44 (=> @t42 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t307 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t31 @t30))))))) % 68.32/68.56 (assume @p99 @t310) % 68.32/68.56 (assume @p100 (=> @t21 (exists @t80 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t79 (tptp.hAPP @t78 (tptp.hAPP @t76 tptp.v_na____)))) @t10)))) % 68.32/68.56 (assume @p101 (forall @t315 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t313) (or @t88 (and @t311 @t142) (and @t312 (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t89))))))) % 68.32/68.56 (assume @p102 (forall @t319 (=> @t257 (=> @t240 (=> @t318 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t317 @t316)))))) % 68.32/68.56 (assume @p103 (forall @t323 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t321 @t10) @t320)))) % 68.32/68.56 (assume @p104 (forall @t325 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t324) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t169))))) % 68.32/68.56 (assume @p105 (forall @t315 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t313 @t82) (and @t312 (tptp.c_Orderings_Oord__class_Oless @t36 @t89 @t82)))))) % 68.32/68.56 (assume @p106 (forall @t66 (=> @t63 (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t48)))) % 68.32/68.56 (assume @p107 (forall @t262 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t326) (or @t142 @t177))))) % 68.32/68.56 (assume @p108 (forall @t70 (=> @t330 (not (tptp.c_Orderings_Oord__class_Oless @t36 @t329 @t82))))) % 68.32/68.56 (assume @p109 (forall @t331 (=> @t257 (= (tptp.c_NthRoot_Oroot @t56 @t10) @t10)))) % 68.32/68.56 (assume @p110 (forall @t323 (=> @t322 (= (= @t321 @t10) @t332)))) % 68.32/68.56 (assume @p111 (forall @t335 (=> @t257 @t334))) % 68.32/68.56 (assume @p112 (forall @t331 (= (tptp.c_NthRoot_Oroot @t56 @t83) @t83))) % 68.32/68.56 (assume @p113 (forall @t338 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t337)) @t95))) % 68.32/68.56 (assume @p114 @t341) % 68.32/68.56 (assume @p115 (forall @t346 (=> @t345 (=> @t257 (=> @t344 @t343))))) % 68.32/68.56 (assume @p116 (forall @t349 (=> @t257 (=> @t344 @t348)))) % 68.32/68.56 (assume @p117 (forall @t349 (=> @t257 (=> @t344 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t316))))) % 68.32/68.56 (assume @p118 (forall @t323 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t321 @t83) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t89 @t83))))) % 68.32/68.56 (assume @p119 (forall @t325 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t324) @t350)))) % 68.32/68.56 (assume @p120 (forall @t127 (=> @t85 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t83))))) % 68.32/68.56 (assume @p121 (forall @t351 (=> @t298 (=> (not (= @t34 @t83)) @t297)))) % 68.32/68.56 (assume @p122 (forall @t319 (=> @t257 (=> @t240 (=> @t344 (=> @t352 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t316 @t317))))))) % 68.32/68.56 (assume @p123 (forall @t70 (=> @t314 @t358))) % 68.32/68.56 (assume @p124 (forall @t94 (= @t93 (or @t88 @t90)))) % 68.32/68.56 (assume @p125 (forall (@list @t50 @t31) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t33 @t50) (tptp.hAPP @t33 @t31)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t50 @t31)))) % 68.32/68.56 (assume @p126 (forall @t364 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t169)) (or @t363 @t362)))) % 68.32/68.56 (assume @p127 (forall @t364 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t89) @t169)) (or @t360 @t359)))) % 68.32/68.56 (assume @p128 (forall @t368 (= @t367 (= @t365 @t311)))) % 68.32/68.56 (assume @p129 (forall @t368 (= (not @t367) (= @t365 @t312)))) % 68.32/68.56 (assume @p130 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t132))) % 68.32/68.56 (assume @p131 (forall @t129 (=> @t113 @t369))) % 68.32/68.56 (assume @p132 (forall @t129 (=> @t113 @t128))) % 68.32/68.56 (assume @p133 (forall @t168 (=> (tptp.class_Rings_Oring__no__zero__divisors @t36) (= (= @t371 @t82) (or @t108 @t370))))) % 68.32/68.56 (assume @p134 (forall @t55 (=> @t112 (=> @t134 (=> @t212 (not @t372)))))) % 68.32/68.56 (assume @p135 (forall @t55 (=> @t112 (=> @t372 (or @t133 @t211))))) % 68.32/68.56 (assume @p136 (forall @t66 (=> @t111 (not (= @t47 @t82))))) % 68.32/68.56 (assume @p137 (forall @t66 (=> @t111 (not (= @t82 @t47))))) % 68.32/68.56 (assume @p138 (forall @t153 (=> (tptp.class_Rings_Ocomm__semiring @t36) @t374))) % 68.32/68.56 (assume @p139 (forall (@list @t145 @t49 @t375 @t50 @t36) (=> (tptp.class_Rings_Osemiring @t36) (= (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t60 @t375) (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t187 @t375) @t145)) (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t373 @t375) @t145))))) % 68.32/68.56 (assume @p140 (forall @t129 (=> @t376 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t82 @t50) @t82)))) % 68.32/68.56 (assume @p141 (forall @t129 (=> @t377 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t50 @t82) @t82)))) % 68.32/68.56 (assume @p142 @t379) % 68.32/68.56 (assume @p143 (forall @t153 (=> @t376 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t51 @t145) (tptp.c_Groups_Oplus__class_Oplus @t36 @t147 @t146))))) % 68.32/68.56 (assume @p144 (forall @t129 (=> @t376 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t50 @t47) @t50)))) % 68.32/68.56 (assume @p145 @t382) % 68.32/68.56 (assume @p146 (forall @t364 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.hAPP @t92 @t169)) (and @t360 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t169))))) % 68.32/68.56 (assume @p147 (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat @t7)) % 68.32/68.56 (assume @p148 (forall @t346 (=> @t345 (=> @t257 @t343)))) % 68.32/68.56 (assume @p149 (forall @t346 (=> @t345 (=> @t257 (= @t342 (tptp.c_NthRoot_Oroot @t56 (tptp.c_NthRoot_Oroot @t116 @t35))))))) % 68.32/68.56 (assume @p150 (forall @t383 (=> @t322 (= (= @t321 @t324) @t261)))) % 68.32/68.56 (assume @p151 (forall @t335 (=> @t257 (= (tptp.c_NthRoot_Oroot @t56 @t296) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t316 @t333))))) % 68.32/68.56 (assume @p152 (forall (@list @t384 @t35 @t56) (=> @t257 (= (tptp.c_NthRoot_Oroot @t56 (tptp.hAPP @t258 @t384)) (tptp.hAPP @t347 @t384))))) % 68.32/68.56 (assume @p153 (forall @t386 (=> @t381 @t385))) % 68.32/68.56 (assume @p154 (forall @t349 (=> @t381 @t348))) % 68.32/68.56 (assume @p155 (forall @t349 (=> @t381 @t387))) % 68.32/68.56 (assume @p156 (forall @t129 (=> @t330 (not (tptp.c_Orderings_Oord__class_Oless @t36 @t388 @t82))))) % 68.32/68.56 (assume @p157 (forall @t394 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t194 @t393) @t391)))) % 68.32/68.56 (assume @p158 (forall @t228 (=> @t327 (= @t398 @t391)))) % 68.32/68.56 (assume @p159 (forall @t228 (=> @t327 (=> @t234 (= @t398 @t390))))) % 68.32/68.56 (assume @p160 (forall @t55 (=> @t400 (=> @t144 (=> @t399 @t220))))) % 68.32/68.56 (assume @p161 (forall @t55 (=> @t400 (=> @t144 (=> @t402 @t401))))) % 68.32/68.56 (assume @p162 (forall @t55 (=> @t400 (=> @t144 (=> @t402 (tptp.c_Orderings_Oord__class_Oless @t36 @t403 @t82)))))) % 68.32/68.56 (assume @p163 (forall @t55 (=> @t400 (=> @t220 @t404)))) % 68.32/68.56 (assume @p164 (forall @t216 (=> @t400 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t403) @t404)))) % 68.32/68.56 (assume @p165 (forall @t228 (=> @t327 (=> @t224 (= @t398 @t389))))) % 68.32/68.56 (assume @p166 (forall @t55 (=> @t400 (=> @t405 (=> @t399 @t401))))) % 68.32/68.56 (assume @p167 (forall @t55 (=> @t327 (=> @t405 (=> @t402 @t220))))) % 68.32/68.56 (assume @p168 (forall @t153 (=> @t400 (=> @t53 (=> @t152 @t406))))) % 68.32/68.56 (assume @p169 (forall @t153 (=> @t400 @t408))) % 68.32/68.56 (assume @p170 (forall @t153 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t36) @t408))) % 68.32/68.56 (assume @p171 (forall @t151 (=> @t327 (=> @t150 (=> @t149 @t406))))) % 68.32/68.56 (assume @p172 (forall @t151 (=> @t327 (=> @t150 (=> @t149 @t407))))) % 68.32/68.56 (assume @p173 (forall @t153 (=> @t63 (=> @t144 @t412)))) % 68.32/68.56 (assume @p174 (forall @t262 (=> @t327 (= (= @t326 @t82) @t413)))) % 68.32/68.56 (assume @p175 (forall @t66 (=> @t63 (not (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t82))))) % 68.32/68.56 (assume @p176 (forall @t66 (=> @t63 (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t47)))) % 68.32/68.56 (assume @p177 (forall (@list @t56 @t116 @t36) (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t116) (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t56) (tptp.c_Orderings_Oord__class_Oless @t36 @t47 (tptp.hAPP @t414 @t56))))))) % 68.32/68.56 (assume @p178 (forall @t129 (=> @t63 (tptp.c_Orderings_Oord__class_Oless @t36 @t50 @t415)))) % 68.32/68.56 (assume @p179 @t419) % 68.32/68.56 (assume @p180 (forall @t225 (=> @t376 (=> @t196 (= @t200 @t195))))) % 68.32/68.56 (assume @p181 @t425) % 68.32/68.56 (assume @p182 (forall @t186 (=> @t376 (=> @t184 (=> (= @t189 @t49) @t426))))) % 68.32/68.56 (assume @p183 (forall @t129 (=> @t377 (and (=> @t133 (= @t427 @t82)) @t428)))) % 68.32/68.56 (assume @p184 (forall @t129 (=> @t376 @t428))) % 68.32/68.56 (assume @p185 (forall @t430 (=> @t376 (=> (not @t370) (= (= @t166 @t47) @t429))))) % 68.32/68.56 (assume @p186 (forall @t335 (=> @t257 @t432))) % 68.32/68.56 (assume @p187 (forall @t383 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t321 @t324) @t433)))) % 68.32/68.56 (assume @p188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t14)) % 68.32/68.56 (assume @p189 (forall @t331 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t7)))) % 68.32/68.56 (assume @p190 (forall @t364 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t337 (tptp.hAPP @t434 @t169)) @t83) (and @t95 (= @t169 @t83))))) % 68.32/68.56 (assume @p191 (forall @t436 (=> (= @t116 @t124) (or (= @t56 @t132) @t435)))) % 68.32/68.56 (assume @p192 (forall @t440 (=> @t439 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t438 @t437) @t433)))) % 68.32/68.56 (assume @p193 (forall @t442 (=> @t344 (=> @t441 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t69))))) % 68.32/68.56 (assume @p194 (forall (@list @t34 @t35 @t229) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t229) (=> @t431 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t443 @t35) (tptp.hAPP @t443 @t34)))))) % 68.32/68.56 (assume @p195 (forall @t450 (=> @t449 (=> @t448 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t447 @t446))))) % 68.32/68.56 (assume @p196 (forall @t450 (=> @t449 (=> @t448 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t454 @t452))))) % 68.32/68.56 (assume @p197 (forall @t455 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t244 @t244))) % 68.32/68.56 (assume @p198 (forall @t458 (or @t457 @t456))) % 68.32/68.56 (assume @p199 (forall @t450 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t118 @t444) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t444 @t384) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t118 @t384))))) % 68.32/68.56 (assume @p200 (forall @t458 (=> @t457 (=> @t456 @t459)))) % 68.32/68.56 (assume @p201 (forall @t364 (= @t460 (or @t433 @t261)))) % 68.32/68.56 (assume @p202 (forall @t364 (= @t433 (and @t460 @t461)))) % 68.32/68.56 (assume @p203 (forall @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t229 @t35) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t229 @t34))))) % 68.32/68.56 (assume @p204 (forall @t241 (=> @t63 (=> @t465 (=> @t464 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t59 @t238)))))) % 68.32/68.56 (assume @p205 (forall @t364 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t89 @t169)) (and (or @t468 @t467) (or @t466 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t169 @t83)))))) % 68.32/68.56 (assume @p206 (forall @t241 (=> @t63 (=> @t465 (=> @t469 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t50 @t47) (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t238 @t59))))))) % 68.32/68.56 (assume @p207 (forall @t126 (=> @t63 (=> @t62 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t121 @t59) @t470))))) % 68.32/68.56 (assume @p208 (forall @t304 (=> @t63 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t302 @t301) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t169)))))) % 68.32/68.56 (assume @p209 (forall @t129 (=> @t330 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t388)))) % 68.32/68.56 (assume @p210 (forall @t168 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t371) @t475)))) % 68.32/68.56 (assume @p211 (forall @t168 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t371 @t82) @t476)))) % 68.32/68.56 (assume @p212 (forall @t55 (=> @t479 (=> @t469 (=> @t478 @t477))))) % 68.32/68.56 (assume @p213 (forall @t55 (=> @t479 (=> @t469 (=> @t481 @t480))))) % 68.32/68.56 (assume @p214 (forall @t55 (=> @t479 (=> @t469 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t403 @t82)))))) % 68.32/68.56 (assume @p215 (forall @t55 (=> @t479 (=> @t482 (=> @t478 @t480))))) % 68.32/68.56 (assume @p216 (forall @t55 (=> @t483 (=> @t482 (=> @t481 @t477))))) % 68.32/68.56 (assume @p217 (forall @t153 (=> @t487 (=> @t486 (=> @t485 @t484))))) % 68.32/68.56 (assume @p218 (forall @t153 (=> @t487 @t489))) % 68.32/68.56 (assume @p219 (forall @t153 (=> (tptp.class_Rings_Oordered__comm__semiring @t36) @t489))) % 68.32/68.56 (assume @p220 (forall @t151 (=> @t483 (=> @t491 (=> @t490 @t484))))) % 68.32/68.56 (assume @p221 (forall @t151 (=> @t483 (=> @t491 (=> @t490 @t488))))) % 68.32/68.56 (assume @p222 (forall @t496 (=> @t487 (=> @t486 (=> @t495 (=> @t469 @t494)))))) % 68.32/68.56 (assume @p223 (forall @t496 (=> @t487 (=> @t486 (=> @t495 (=> @t478 @t494)))))) % 68.32/68.56 (assume @p224 (forall @t55 (=> @t483 (=> (or (and @t469 @t478) (and @t482 @t481)) @t477)))) % 68.32/68.56 (assume @p225 (forall @t55 (=> @t479 (=> (or (and @t469 @t481) (and @t482 @t478)) @t480)))) % 68.32/68.56 (assume @p226 (forall @t66 (=> @t63 (not (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t47 @t82))))) % 68.32/68.56 (assume @p227 (forall @t66 (=> @t63 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t47)))) % 68.32/68.56 (assume @p228 (forall @t64 (=> @t63 (=> @t469 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t59))))) % 68.32/68.56 (assume @p229 (forall @t284 (=> @t63 (=> @t486 (=> @t469 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t59 @t209)))))) % 68.32/68.56 (assume @p230 (forall @t168 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t166) @t475)))) % 68.32/68.56 (assume @p231 (forall @t168 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t166 @t82) @t476)))) % 68.32/68.56 (assume @p232 (forall @t153 (=> @t167 (=> @t486 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t147 @t146)))))) % 68.32/68.56 (assume @p233 (forall @t153 (=> @t167 (=> @t486 (=> @t490 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t146 @t147)))))) % 68.32/68.56 (assume @p234 (forall @t64 (=> @t63 (=> @t464 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t47 @t59))))) % 68.32/68.56 (assume @p235 (forall @t440 (=> @t439 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t497 @t89) (tptp.hAPP @t497 @t169)) @t460)))) % 68.32/68.56 (assume @p236 (forall @t440 (=> @t439 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t438 @t437) @t460)))) % 68.32/68.56 (assume @p237 (forall @t127 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t43)))) % 68.32/68.56 (assume @p238 (forall (@list @t34 @t35 @t56 @t36) (=> @t314 (=> @t381 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t291 (tptp.hAPP @t498 @t56))))))) % 68.32/68.56 (assume @p239 (forall @t186 (=> @t400 (=> @t488 @t500)))) % 68.32/68.56 (assume @p240 (forall @t501 (=> @t400 (=> @t484 @t500)))) % 68.32/68.56 (assume @p241 (forall @t186 (=> @t400 @t503))) % 68.32/68.56 (assume @p242 (forall @t186 (=> @t504 @t503))) % 68.32/68.56 (assume @p243 (forall @t501 (=> @t400 @t505))) % 68.32/68.56 (assume @p244 (forall @t501 (=> @t504 @t505))) % 68.32/68.56 (assume @p245 (forall @t496 (=> @t400 (=> @t486 (=> @t508 (=> @t144 @t507)))))) % 68.32/68.56 (assume @p246 (forall @t496 (=> @t400 (=> @t53 (=> @t495 (=> @t469 (=> @t152 @t506))))))) % 68.32/68.56 (assume @p247 (forall @t496 (=> @t400 (=> @t53 (=> @t508 (=> @t469 @t507)))))) % 68.32/68.56 (assume @p248 (forall @t496 (=> @t400 (=> @t53 (=> @t508 (=> @t399 @t507)))))) % 68.32/68.56 (assume @p249 (forall @t228 (=> @t327 (=> @t224 (= @t509 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t161 @t107)))))) % 68.32/68.56 (assume @p250 (forall @t228 (=> @t327 (=> @t234 (= @t509 @t510))))) % 68.32/68.56 (assume @p251 (forall @t262 (=> @t327 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t326 @t82) @t413)))) % 68.32/68.56 (assume @p252 (forall @t70 (=> @t330 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t329)))) % 68.32/68.56 (assume @p253 (forall @t70 (=> @t314 (=> @t513 (=> @t512 (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t36 (tptp.hAPP @t242 @t35) @t35))))))) % 68.32/68.56 (assume @p254 (forall @t70 (=> @t314 (=> @t513 (=> @t512 (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t39 @t35))))))) % 68.32/68.56 (assume @p255 (forall @t515 (=> @t63 (=> @t514 (=> @t478 @t53))))) % 68.32/68.56 (assume @p256 (forall @t70 (=> @t54 (=> @t517 (=> @t156 @t516))))) % 68.32/68.56 (assume @p257 (forall @t70 (=> @t54 (=> @t517 (=> @t159 @t518))))) % 68.32/68.56 (assume @p258 (forall @t522 (=> @t54 (=> @t513 (=> @t499 (=> @t521 (=> @t520 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t252 @t519)))))))) % 68.32/68.56 (assume @p259 (forall @t522 (=> @t54 (=> @t513 (=> @t354 (=> @t521 (=> @t520 @t523))))))) % 68.32/68.56 (assume @p260 (forall @t522 (=> @t54 (=> @t160 (=> @t499 (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t244 @t229) @t523))))))) % 68.32/68.56 (assume @p261 (forall @t70 (=> @t54 (=> @t513 (=> @t156 @t518))))) % 68.32/68.56 (assume @p262 (forall @t70 (=> @t54 (=> @t513 (=> @t159 @t516))))) % 68.32/68.56 (assume @p263 (forall @t99 (=> @t85 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t102 @t83) @t101)))) % 68.32/68.56 (assume @p264 (forall @t315 (=> @t314 (= @t525 (or @t311 (and @t312 @t524)))))) % 68.32/68.56 (assume @p265 (forall @t115 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t110) (or @t474 @t311))))) % 68.32/68.56 (assume @p266 (forall @t526 (=> (and @t125 @t330) (=> @t380 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t291))))) % 68.32/68.56 (assume @p267 (forall (@list @t89 @t87 @t36) (=> @t314 (=> @t312 (= @t525 @t524))))) % 68.32/68.56 (assume @p268 (forall @t70 (=> @t45 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t40 @t308)))) % 68.32/68.56 (assume @p269 (forall @t70 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t307 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t43 @t41))))) % 68.32/68.56 (assume @p270 (forall @t294 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t292 @t289)))) % 68.32/68.56 (assume @p271 (forall @t383 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t321 @t324) @t460)))) % 68.32/68.56 (assume @p272 (forall @t335 (=> @t257 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t316 @t333))))) % 68.32/68.56 (assume @p273 (forall (@list @t527 @t87 @t305) (=> (=> @t531 @t529) (=> (=> @t306 @t529) (=> (=> @t530 @t529) @t529))))) % 68.32/68.56 (assume @p274 (forall (@list @t532 @t30) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t532) (not (= @t30 @t532))))) % 68.32/68.56 (assume @p275 (forall @t536 (=> @t535 @t534))) % 68.32/68.56 (assume @p276 (forall @t331 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t56)))) % 68.32/68.56 (assume @p277 (forall @t442 (=> @t357 (=> (not @t537) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t35))))) % 68.32/68.56 (assume @p278 (forall @t368 (= @t538 (or @t531 @t530)))) % 68.32/68.56 (assume @p279 (forall @t540 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t305 @t539) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t87 @t539)) @t306))) % 68.32/68.56 (assume @p280 (forall @t543 (= (= @t542 @t541) @t306))) % 68.32/68.56 (assume @p281 (forall @t545 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t143 @t384) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t544)))) % 68.32/68.56 (assume @p282 (forall @t463 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t35 @t546) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t35 @t229))))) % 68.32/68.56 (assume @p283 (forall @t436 (= @t143 @t547))) % 68.32/68.56 (assume @p284 (forall @t553 (= (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP @t552 @t549)) @t548) (tptp.hAPP @t552 (tptp.hAPP @t550 @t548))))) % 68.32/68.56 (assume @p285 (forall @t458 (= (tptp.hAPP @t443 @t244) (tptp.hAPP (tptp.hAPP @t32 @t244) @t229)))) % 68.32/68.56 (assume @p286 (forall @t545 (= (tptp.hAPP (tptp.hAPP @t122 @t124) @t384) (tptp.hAPP @t123 @t555)))) % 68.32/68.56 (assume @p287 (forall @t436 (= @t124 @t556))) % 68.32/68.56 (assume @p288 (forall @t558 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t244) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t244 @t229)) @t557)))) % 68.32/68.56 (assume @p289 (forall @t565 (=> (tptp.class_Rings_Olinordered__semiring__1 @t36) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t50) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t34 @t50) (=> @t564 (=> @t563 (=> @t562 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t561 @t50))))))))) % 68.32/68.56 (assume @p290 (forall @t153 (=> @t167 (=> @t486 (=> @t490 @t566))))) % 68.32/68.56 (assume @p291 (forall @t151 (=> @t54 (=> @t491 (=> @t485 @t566))))) % 68.32/68.56 (assume @p292 (forall @t225 (=> @t54 (=> @t224 (= @t568 @t567))))) % 68.32/68.56 (assume @p293 (forall @t228 (=> @t54 (=> @t224 (= @t570 @t569))))) % 68.32/68.56 (assume @p294 (forall @t232 (=> @t54 (=> @t159 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t231 @t35) (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t229 @t154)))))) % 68.32/68.56 (assume @p295 (forall @t233 (=> @t54 (=> @t159 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t231) (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t154 @t229)))))) % 68.32/68.56 (assume @p296 (forall @t225 (=> @t54 (=> @t234 (= @t568 @t569))))) % 68.32/68.56 (assume @p297 (forall @t228 (=> @t54 (=> @t234 (= @t570 @t567))))) % 68.32/68.56 (assume @p298 (forall @t203 (=> @t167 (= @t568 (and (=> @t234 @t569) (=> @t236 (and (=> @t224 @t567) (=> @t235 @t474)))))))) % 68.32/68.56 (assume @p299 (forall @t207 (=> @t167 (= @t570 (and (=> @t234 @t567) (=> @t236 (and (=> @t224 @t569) (=> @t235 @t472)))))))) % 68.32/68.56 (assume @p300 (forall @t515 (=> @t63 (=> (= @t59 @t209) (=> @t469 (=> @t478 (=> @t257 @t571))))))) % 68.32/68.56 (assume @p301 (forall @t315 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t313 @t82) (and @t106 (or (and @t312 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t89 @t82)) (and @t311 @t101))))))) % 68.32/68.56 (assume @p302 (forall @t325 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t324) @t467)))) % 68.32/68.56 (assume @p303 (forall @t323 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t321 @t83) @t468)))) % 68.32/68.56 (assume @p304 (forall @t349 (=> @t257 (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t316))))) % 68.32/68.56 (assume @p305 (forall @t325 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t324) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t169))))) % 68.32/68.56 (assume @p306 (forall @t323 (=> @t322 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t321 @t10) @t573)))) % 68.32/68.56 (assume @p307 (forall @t319 (=> @t257 (=> @t240 (=> @t574 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t317 @t316)))))) % 68.32/68.56 (assume @p308 (forall @t565 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t36) (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t50) (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t34 @t50) (=> @t564 (=> @t563 (=> @t562 (tptp.c_Orderings_Oord__class_Oless @t36 @t561 @t50))))))))) % 68.32/68.56 (assume @p309 (forall @t284 (=> @t63 (=> @t53 (=> @t469 (=> @t257 @t514)))))) % 68.32/68.56 (assume @p310 (forall (@list @t575 @t576) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t576) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t575) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 (tptp.c_NthRoot_Oroot @t576 @t575)))))) % 68.32/68.56 (assume @p311 (forall @t335 (=> @t257 (=> @t572 @t432)))) % 68.32/68.56 (assume @p312 (forall @t335 (=> @t257 (=> @t572 (=> @t577 @t334))))) % 68.32/68.56 (assume @p313 (forall @t349 (=> @t257 (=> @t572 @t387)))) % 68.32/68.56 (assume @p314 (forall @t349 (=> @t257 (=> @t572 @t348)))) % 68.32/68.56 (assume @p315 (forall @t386 (=> @t257 (=> @t577 @t385)))) % 68.32/68.56 (assume @p316 (forall @t319 (=> @t257 (=> @t240 (=> @t572 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t10) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t316 @t317))))))) % 68.32/68.56 (assume @p317 (forall @t578 (= @t106 @t322))) % 68.32/68.56 (assume @p318 (forall @t436 (=> @t117 @t139))) % 68.32/68.56 (assume @p319 (forall @t331 (=> @t139 @t257))) % 68.32/68.56 (assume @p320 (forall @t331 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t56) @t56))) % 68.32/68.56 (assume @p321 (forall @t579 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t7) @t116))) % 68.32/68.56 (assume @p322 (forall @t368 (= (= @t366 @t7) (and @t580 @t88)))) % 68.32/68.56 (assume @p323 (forall @t436 (=> (= @t143 @t116) @t138))) % 68.32/68.56 (assume @p324 (forall @t331 (= (tptp.hAPP (tptp.hAPP @t122 @t7) @t56) @t7))) % 68.32/68.56 (assume @p325 (forall @t579 (= (tptp.hAPP @t123 @t7) @t7))) % 68.32/68.56 (assume @p326 (forall @t368 (= (= @t582 @t7) (or @t580 @t88)))) % 68.32/68.56 (assume @p327 (forall @t543 (= @t588 @t584))) % 68.32/68.56 (assume @p328 (forall @t540 (= (= @t591 @t590) @t584))) % 68.32/68.56 (assume @p329 (forall @t450 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t592 @t384) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t384)))) % 68.32/68.56 (assume @p330 (forall (@list @t56 @t116 @t594 @t384) (=> @t595 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t594) @t593) @t117)))) % 68.32/68.56 (assume @p331 (forall @t598 (=> @t449 (=> @t595 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t596))))) % 68.32/68.56 (assume @p332 (forall @t450 (=> @t449 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t599)))) % 68.32/68.56 (assume @p333 (forall @t601 (=> @t449 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t600)))) % 68.32/68.56 (assume @p334 (forall @t601 (=> @t449 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t602)))) % 68.32/68.56 (assume @p335 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t542 @t541) @t531))) % 68.32/68.56 (assume @p336 (forall (@list @t118 @t444) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t603 @t118)))) % 68.32/68.56 (assume @p337 (forall (@list @t444 @t118) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t592 @t118)))) % 68.32/68.56 (assume @p338 (forall @t606 (=> @t605 (= (= (tptp.hAPP @t604 @t107) (tptp.hAPP @t604 @t161)) @t429)))) % 68.32/68.56 (assume @p339 (forall @t606 (=> @t605 (= (= (tptp.hAPP (tptp.hAPP @t32 @t107) @t190) (tptp.hAPP (tptp.hAPP @t32 @t161) @t190)) @t429)))) % 68.32/68.56 (assume @p340 (not (= @t83 @t10))) % 68.32/68.56 (assume @p341 (forall @t545 (= (tptp.hAPP (tptp.hAPP @t122 @t143) @t384) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t607 @t555)))) % 68.32/68.56 (assume @p342 (forall @t610 (= (tptp.hAPP @t445 @t143) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t609 @t608)))) % 68.32/68.56 (assume @p343 (forall @t612 (= (tptp.hAPP @t611 @t229) @t229))) % 68.32/68.56 (assume @p344 (forall @t613 (= (tptp.hAPP (tptp.hAPP @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t551 @t549)) @t244) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t552 @t244) (tptp.hAPP @t550 @t244))))) % 68.32/68.56 (assume @p345 (forall @t368 (= (= @t582 @t132) @t614))) % 68.32/68.56 (assume @p346 (forall @t331 (= (tptp.hAPP @t554 @t132) @t56))) % 68.32/68.56 (assume @p347 (forall @t368 (= (= @t132 @t582) @t614))) % 68.32/68.56 (assume @p348 (forall @t331 (= (tptp.hAPP (tptp.hAPP @t122 @t132) @t56) @t56))) % 68.32/68.56 (assume @p349 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t366) (or @t615 @t322)))) % 68.32/68.56 (assume @p350 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t582) (and @t615 @t322)))) % 68.32/68.56 (assume @p351 (forall @t543 (= @t618 @t617))) % 68.32/68.56 (assume @p352 (forall @t540 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t591 @t590) @t617))) % 68.32/68.56 (assume @p353 (forall (@list @t34 @t35 @t145 @t36) (=> @t85 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t145 @t83) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 (tptp.hAPP (tptp.hAPP @t32 @t145) @t41)) (= @t35 @t82)))))) % 68.32/68.56 (assume @p354 (forall @t55 (=> @t621 (=> @t482 @t620)))) % 68.32/68.56 (assume @p355 (forall @t55 (=> @t621 (=> @t405 (=> @t481 @t619))))) % 68.32/68.56 (assume @p356 (forall @t153 (=> @t621 (=> @t469 @t412)))) % 68.32/68.56 (assume @p357 (forall @t153 (=> @t621 (=> @t144 (=> @t622 @t410))))) % 68.32/68.56 (assume @p358 (forall @t55 (=> @t621 (=> @t469 @t624)))) % 68.32/68.56 (assume @p359 (forall @t55 (=> @t621 (=> @t144 (=> @t478 @t623))))) % 68.32/68.56 (assume @p360 (forall @t543 (=> @t616 (= @t588 @t306)))) % 68.32/68.56 (assume @p361 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t56))) % 68.32/68.56 (assume @p362 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t56))) % 68.32/68.56 (assume @p363 (forall @t436 (or @t470 @t625))) % 68.32/68.56 (assume @p364 (forall @t436 (=> @t533 @t470))) % 68.32/68.56 (assume @p365 (forall @t450 (=> @t626 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t444 @t384) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t384))))) % 68.32/68.56 (assume @p366 (forall @t436 (=> @t470 (=> @t625 @t533)))) % 68.32/68.56 (assume @p367 (forall @t630 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t539 @t628) (exists @t629 (= @t628 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t539 @t627)))))) % 68.32/68.56 (assume @p368 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t87 @t7) @t88))) % 68.32/68.56 (assume @p369 (forall @t368 (= @t531 (and @t631 @t538)))) % 68.32/68.56 (assume @p370 (forall @t368 (= @t631 @t632))) % 68.32/68.56 (assume @p371 (forall @t436 (=> @t117 @t470))) % 68.32/68.56 (assume @p372 (forall @t436 (=> @t470 (=> @t534 @t117)))) % 68.32/68.56 (assume @p373 (forall @t436 (=> (or @t117 @t533) @t470))) % 68.32/68.56 (assume @p374 (forall @t536 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t143))) % 68.32/68.56 (assume @p375 (forall @t536 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t56 @t547))) % 68.32/68.56 (assume @p376 (forall @t368 (= @t631 (exists @t635 (= @t87 @t634))))) % 68.32/68.56 (assume @p377 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t542 @t541) @t631))) % 68.32/68.56 (assume @p378 (forall @t601 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t602)))) % 68.32/68.56 (assume @p379 (forall @t601 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t600)))) % 68.32/68.56 (assume @p380 (forall @t450 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t597 @t599)))) % 68.32/68.56 (assume @p381 (forall @t598 (=> @t626 (=> @t636 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t597 @t596))))) % 68.32/68.56 (assume @p382 (forall @t640 (=> @t639 @t637))) % 68.32/68.56 (assume @p383 (forall @t640 (=> @t639 @t470))) % 68.32/68.56 (assume @p384 (forall @t640 (=> @t639 (not (=> @t470 (not @t637)))))) % 68.32/68.56 (assume @p385 (forall @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t641))) % 68.32/68.56 (assume @p386 (forall @t579 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 (tptp.hAPP @t123 @t641)))) % 68.32/68.56 (assume @p387 (forall @t450 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 @t452)))) % 68.32/68.56 (assume @p388 (forall @t450 (=> @t626 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t447 @t446)))) % 68.32/68.56 (assume @p389 (forall @t598 (=> @t626 (=> @t636 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t454 (tptp.hAPP @t451 @t594)))))) % 68.32/68.56 (assume @p390 (forall @t543 (=> @t616 (= @t642 @t631)))) % 68.32/68.56 (assume @p391 (forall @t99 (=> (tptp.class_Groups_Ozero @t36) (= @t643 @t101)))) % 68.32/68.56 (assume @p392 (forall @t540 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t591 @t590) @t644))) % 68.32/68.56 (assume @p393 (forall @t543 (= @t642 @t644))) % 68.32/68.56 (assume @p394 @t647) % 68.32/68.56 (assume @p395 (forall @t153 (=> (tptp.class_Groups_Oab__semigroup__add @t36) @t650))) % 68.32/68.56 (assume @p396 (forall @t207 (=> @t653 (= (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t107 @t161) @t652) @t651)))) % 68.32/68.56 (assume @p397 (forall (@list @t190 @t107 @t161 @t36) (=> @t653 (= (= @t655 @t654) @t651)))) % 68.32/68.56 (assume @p398 (forall @t153 (=> @t653 @t657))) % 68.32/68.56 (assume @p399 (forall @t153 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t36) @t657))) % 68.32/68.56 (assume @p400 (forall @t151 (=> @t653 (=> (= @t659 @t658) @t656)))) % 68.32/68.56 (assume @p401 (forall @t99 (=> (tptp.class_Groups_Oone @t36) (= (= @t47 @t89) (= @t89 @t47))))) % 68.32/68.56 (assume @p402 (forall @t129 (=> @t661 @t660))) % 68.32/68.56 (assume @p403 (forall @t129 (=> @t662 @t660))) % 68.32/68.56 (assume @p404 (forall @t665 (=> @t664 (= (= @t82 @t663) @t108)))) % 68.32/68.56 (assume @p405 (forall @t129 (=> @t661 @t666))) % 68.32/68.56 (assume @p406 (forall @t129 (=> @t662 @t666))) % 68.32/68.56 (assume @p407 (forall @t394 (=> @t668 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t652 @t667) @t510)))) % 68.32/68.56 (assume @p408 (forall @t228 (=> @t668 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t654 @t669) @t510)))) % 68.32/68.56 (assume @p409 (forall @t153 (=> @t671 (=> @t486 @t670)))) % 68.32/68.56 (assume @p410 (forall @t153 (=> @t671 (=> @t486 @t673)))) % 68.32/68.56 (assume @p411 (forall @t496 (=> @t671 (=> @t486 (=> @t495 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t409 @t674)))))) % 68.32/68.56 (assume @p412 (forall @t501 (=> @t668 (=> @t670 @t486)))) % 68.32/68.56 (assume @p413 (forall @t186 (=> @t668 (=> @t673 @t486)))) % 68.32/68.56 (assume @p414 (forall @t394 (=> @t668 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t652 @t667) @t390)))) % 68.32/68.56 (assume @p415 (forall @t228 (=> @t668 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t654 @t669) @t390)))) % 68.32/68.56 (assume @p416 (forall @t153 (=> @t676 (=> @t53 @t675)))) % 68.32/68.56 (assume @p417 (forall @t153 (=> @t676 (=> @t53 @t677)))) % 68.32/68.56 (assume @p418 (forall @t496 (=> @t676 (=> @t53 @t679)))) % 68.32/68.56 (assume @p419 (forall @t501 (=> @t668 (=> @t675 @t53)))) % 68.32/68.56 (assume @p420 (forall @t186 (=> @t668 (=> @t677 @t53)))) % 68.32/68.56 (assume @p421 @t683) % 68.32/68.56 (assume @p422 (forall @t129 (=> @t283 @t681))) % 68.32/68.56 (assume @p423 (forall @t129 (=> @t125 @t685))) % 68.32/68.56 (assume @p424 (forall @t129 (=> @t283 @t685))) % 68.32/68.56 (assume @p425 (forall @t543 (= @t588 (or @t583 @t306)))) % 68.32/68.56 (assume @p426 (forall (@list @t384 @t444 @t560 @t118) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t687 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t686 @t384)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t592) @t560) @t384)))) % 68.32/68.56 (assume @p427 (forall @t55 (=> @t621 (=> @t482 (=> @t481 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t51 @t82)))))) % 68.32/68.56 (assume @p428 (forall @t424 (=> @t621 (=> @t485 (=> @t491 @t688))))) % 68.32/68.56 (assume @p429 (forall @t153 (=> @t621 (=> @t469 (=> @t622 @t688))))) % 68.32/68.56 (assume @p430 (forall @t262 (=> @t621 (=> @t524 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t169) (= (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t89 @t169) @t82) @t413)))))) % 68.32/68.56 (assume @p431 (forall @t55 (=> @t621 (=> @t469 (=> @t478 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t51)))))) % 68.32/68.56 (assume @p432 (forall @t665 (=> @t664 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t663 @t82) @t472)))) % 68.32/68.56 (assume @p433 (forall @t665 (=> @t664 (= (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t663) @t474)))) % 68.32/68.56 (assume @p434 (forall @t665 (=> @t664 (= (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t663) @t165)))) % 68.32/68.56 (assume @p435 (forall @t665 (=> @t664 @t689))) % 68.32/68.56 (assume @p436 (forall @t55 (=> @t621 (=> @t144 @t624)))) % 68.32/68.56 (assume @p437 (forall @t55 (=> @t621 (=> @t405 @t620)))) % 68.32/68.56 (assume @p438 (forall @t496 (=> @t676 (=> @t53 (=> @t495 @t678))))) % 68.32/68.56 (assume @p439 (forall @t496 (=> @t676 (=> @t486 @t679)))) % 68.32/68.56 (assume @p440 (forall @t543 (=> @t616 (= @t618 @t531)))) % 68.32/68.56 (assume @p441 (forall @t695 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t37 @t693) @t692) (tptp.hAPP @t290 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t691 @t690)))))) % 68.32/68.56 (assume @p442 (forall @t127 (=> @t694 (= (tptp.hAPP @t290 @t7) @t47)))) % 68.32/68.56 (assume @p443 (forall (@list @t116 @t36) (=> @t694 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t116 @t116) (tptp.hAPP (tptp.hAPP @t37 @t48) @t116))))) % 68.32/68.56 (assume @p444 (forall (@list @t50 @t116 @t36) (=> @t694 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t116 @t697) @t696)))) % 68.32/68.56 (assume @p445 (forall (@list @t116 @t50 @t36) (=> @t694 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t697 @t116) @t696)))) % 68.32/68.56 (assume @p446 (forall @t709 (=> @t694 (= @t708 (tptp.hAPP @t704 (tptp.hAPP @t700 @t698)))))) % 68.32/68.56 (assume @p447 (forall @t709 (=> @t694 (= @t708 (tptp.hAPP @t705 (tptp.hAPP @t707 @t698)))))) % 68.32/68.56 (assume @p448 (forall @t709 (=> @t694 (= @t708 (tptp.hAPP @t703 (tptp.hAPP @t700 @t706)))))) % 68.32/68.56 (assume @p449 (forall @t711 (=> @t694 (= @t710 (tptp.hAPP @t704 @t699))))) % 68.32/68.56 (assume @p450 (forall @t711 (=> @t694 (= @t710 (tptp.hAPP @t703 (tptp.hAPP @t700 @t701)))))) % 68.32/68.56 (assume @p451 (forall @t713 (=> @t694 (= @t712 (tptp.hAPP @t704 @t698))))) % 68.32/68.56 (assume @p452 (forall @t713 (=> @t694 (= @t712 (tptp.hAPP @t705 (tptp.hAPP @t703 @t698)))))) % 68.32/68.56 (assume @p453 @t715) % 68.32/68.56 (assume @p454 (forall @t496 (=> @t694 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t51 @t716) (tptp.c_Groups_Oplus__class_Oplus @t36 @t409 @t674))))) % 68.32/68.56 (assume @p455 (forall @t153 (=> @t694 (= @t649 (tptp.c_Groups_Oplus__class_Oplus @t36 @t409 @t49))))) % 68.32/68.56 (assume @p456 (forall @t153 (=> @t694 @t650))) % 68.32/68.56 (assume @p457 (forall @t718 (=> @t694 (= @t717 (tptp.c_Groups_Oplus__class_Oplus @t36 @t409 @t492))))) % 68.32/68.56 (assume @p458 (forall @t718 (=> @t694 (= @t717 (tptp.c_Groups_Oplus__class_Oplus @t36 @t145 (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t492)))))) % 68.32/68.56 (assume @p459 (forall (@list @t145 @t50 @t36) (=> @t694 (= @t409 @t658)))) % 68.32/68.56 (assume @p460 (forall @t129 (=> @t694 @t128))) % 68.32/68.56 (assume @p461 (forall @t129 (=> @t694 @t369))) % 68.32/68.56 (assume @p462 (forall @t430 (=> @t719 (= (= @t161 @t655) @t108)))) % 68.32/68.56 (assume @p463 (forall @t129 (=> @t694 @t666))) % 68.32/68.56 (assume @p464 (forall @t129 (=> @t694 @t660))) % 68.32/68.56 (assume @p465 (forall (@list @t173 @t89 @t169 @t170 @t36) (=> @t719 (= (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t172 @t175) (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t171 @t173) (tptp.hAPP @t174 @t169))) (or (= @t170 @t89) (= @t169 @t173)))))) % 68.32/68.56 (assume @p466 (forall (@list @t49 @t116 @t50 @t36) (=> @t694 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t697 (tptp.hAPP @t187 @t116)) (tptp.hAPP @t373 @t116))))) % 68.32/68.56 (assume @p467 (forall @t153 (=> @t694 @t374))) % 68.32/68.56 (assume @p468 (forall @t722 (=> @t719 (= (and (not @t429) (not @t721)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t194 (tptp.hAPP @t392 @t720)) (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t193 @t720) @t393))))))) % 68.32/68.56 (assume @p469 (forall @t723 (=> @t694 (= (tptp.hAPP @t38 (tptp.c_Groups_Oplus__class_Oplus @t36 @t34 @t229)) (tptp.c_Groups_Oplus__class_Oplus @t36 @t39 @t246))))) % 68.32/68.56 (assume @p470 @t725) % 68.32/68.56 (assume @p471 (forall @t129 (=> @t694 @t681))) % 68.32/68.56 (assume @p472 (forall (@list @t690 @t34 @t35 @t36) (=> @t694 (= (tptp.hAPP (tptp.hAPP @t57 @t39) @t690) (tptp.hAPP @t726 (tptp.hAPP @t498 @t690)))))) % 68.32/68.56 (assume @p473 (forall @t695 (=> @t694 (= (tptp.hAPP (tptp.hAPP @t57 @t693) @t690) (tptp.hAPP @t290 (tptp.hAPP @t727 @t690)))))) % 68.32/68.56 (assume @p474 (forall @t127 (=> @t694 (= (tptp.hAPP @t290 @t132) @t35)))) % 68.32/68.56 (assume @p475 (forall (@list @t492 @t145 @t49 @t50 @t31 @t36) (=> @t719 (=> (not (= @t31 @t82)) (=> (and @t571 (not (= @t145 @t492))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 (tptp.hAPP @t728 @t145)) (tptp.c_Groups_Oplus__class_Oplus @t36 @t49 (tptp.hAPP @t728 @t492))))))))) % 68.32/68.56 (assume @p476 (forall @t665 (=> @t314 @t689))) % 68.32/68.56 (assume @p477 (forall @t127 (=> @t729 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t35)))) % 68.32/68.56 (assume @p478 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 @t79)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t13 @t79)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t13 tptp.c_Complex_Oii)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t13 tptp.c_Complex_Oii)) @t10))) % 68.32/68.56 (assume @p479 (forall @t66 (=> @t114 (= @t57 (tptp.c_Power_Opower_Opower @t36 @t47 @t37))))) % 68.32/68.56 (assume @p480 (forall @t267 (=> @t135 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t730 @t263) (tptp.c_Groups_Ominus__class_Ominus @t36 @t288 @t287))))) % 68.32/68.56 (assume @p481 (forall @t153 (=> @t376 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 @t731 @t145) (tptp.c_Groups_Ominus__class_Ominus @t36 @t147 @t146))))) % 68.32/68.56 (assume @p482 (forall @t55 (=> @t85 (= @t732 (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t49 @t50)))))) % 68.32/68.56 (assume @p483 (forall @t70 (=> @t65 @t733))) % 68.32/68.56 (assume @p484 (forall @t70 (=> @t86 @t733))) % 68.32/68.56 (assume @p485 (forall @t267 (=> @t45 (= (tptp.hAPP @t734 @t263) (tptp.c_Groups_Ominus__class_Ominus @t36 @t265 @t264))))) % 68.32/68.56 (assume @p486 (forall @t270 (=> @t45 (= (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Groups_Ominus__class_Ominus @t36 @t50 @t268)) @t49) (tptp.c_Groups_Ominus__class_Ominus @t36 @t219 @t269))))) % 68.32/68.56 (assume @p487 (forall @t276 (=> @t45 (= (tptp.hAPP @t272 @t730) (tptp.c_Groups_Ominus__class_Ominus @t36 @t274 @t273))))) % 68.32/68.56 (assume @p488 (forall @t280 (=> @t45 (= (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t36 @t49 @t278)) (tptp.c_Groups_Ominus__class_Ominus @t36 @t219 @t279))))) % 68.32/68.56 (assume @p489 (forall @t55 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t735 @t732)))) % 68.32/68.56 (assume @p490 (forall @t168 (=> @t738 (= @t737 @t429)))) % 68.32/68.56 (assume @p491 (forall @t168 (=> @t739 (= @t429 @t737)))) % 68.32/68.56 (assume @p492 (forall @t129 (=> @t738 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t50 @t50) @t82)))) % 68.32/68.56 (assume @p493 (forall @t129 (=> @t738 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t50 @t82) @t50)))) % 68.32/68.56 (assume @p494 (forall @t722 (=> @t741 (=> @t740 (= @t390 (tptp.c_Orderings_Oord__class_Oless @t36 @t190 @t720)))))) % 68.32/68.56 (assume @p495 (forall @t55 (=> @t738 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t731 @t49) @t50)))) % 68.32/68.56 (assume @p496 (forall @t55 (=> @t738 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t51 @t49) @t50)))) % 68.32/68.56 (assume @p497 (forall @t722 (=> @t739 (=> @t740 (= @t429 @t721))))) % 68.32/68.56 (assume @p498 (forall @t722 (=> @t741 (=> @t740 (= @t510 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t190 @t720)))))) % 68.32/68.56 (assume @p499 (forall @t168 (=> @t741 (= @t510 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t736 @t82))))) % 68.32/68.56 (assume @p500 (forall @t168 (=> @t741 (= @t390 (tptp.c_Orderings_Oord__class_Oless @t36 @t736 @t82))))) % 68.32/68.56 (assume @p501 (forall @t748 (=> @t747 (= @t746 (= @t190 @t743))))) % 68.32/68.56 (assume @p502 (forall @t748 (=> @t747 (= @t746 (= @t749 @t720))))) % 68.32/68.56 (assume @p503 (forall @t754 (=> @t45 (= @t753 (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t751 @t750) @t752) (tptp.hAPP @t60 @t750)))))) % 68.32/68.56 (assume @p504 (forall @t754 (=> @t747 (= @t753 (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t38 @t750) @t752))))) % 68.32/68.56 (assume @p505 (forall @t748 (=> @t483 (= @t755 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t190 @t743))))) % 68.32/68.56 (assume @p506 (forall @t748 (=> @t483 (= @t755 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t749 @t720))))) % 68.32/68.56 (assume @p507 (forall @t748 (=> @t483 (= @t756 (tptp.c_Orderings_Oord__class_Oless @t36 @t190 @t743))))) % 68.32/68.56 (assume @p508 (forall @t748 (=> @t483 (= @t756 (tptp.c_Orderings_Oord__class_Oless @t36 @t749 @t720))))) % 68.32/68.56 (assume @p509 (forall @t127 (=> (tptp.class_Rings_Oring__1 @t36) (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t328 @t47) (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Groups_Oplus__class_Oplus @t36 @t35 @t47)) (tptp.c_Groups_Ominus__class_Ominus @t36 @t35 @t47)))))) % 68.32/68.56 (assume @p510 (forall @t253 (=> @t178 (=> @t248 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t35 @t256) (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t255 @t34) @t229)))))) % 68.32/68.56 (assume @p511 (forall @t253 (=> @t178 (=> @t248 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t252 @t34) (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t35 @t231) @t229)))))) % 68.32/68.56 (assume @p512 (forall @t250 (=> @t178 (=> @t249 (=> @t248 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t154 @t247) (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t246 @t245) @t243))))))) % 68.32/68.56 (assume @p513 (forall @t612 (=> (= @t557 @t10) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t229 @t79)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t229 @t79)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t229 tptp.c_Complex_Oii)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t229 tptp.c_Complex_Oii)) @t10))))) % 68.32/68.56 (assume @p514 (forall @t55 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t732 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t214 @t213))))) % 68.32/68.56 (assume @p515 (forall (@list @t107 @t758 @t757 @t36) (= (tptp.hAPP @t759 @t7) @t757))) % 68.32/68.56 (assume @p516 (forall @t70 (=> @t761 (=> (not @t499) @t760)))) % 68.32/68.56 (assume @p517 (forall (@list @t89 @t1 @t2 @t36 @t762) (=> @t765 (=> @t764 (tptp.c_Orderings_Oord__class_Oless__eq @t762 (tptp.hAPP @t2 @t89) (tptp.hAPP @t1 @t89)))))) % 68.32/68.56 (assume @p518 (forall @t233 (=> @t767 (=> @t760 (=> @t766 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t229 @t35)))))) % 68.32/68.56 (assume @p519 (forall @t351 (=> @t767 (=> @t760 (=> @t499 @t356))))) % 68.32/68.56 (assume @p520 (forall @t723 (=> @t729 (=> @t499 (=> @t768 (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t35 @t229)))))) % 68.32/68.56 (assume @p521 (forall @t70 (=> @t767 (=> @t499 (=> @t760 @t356))))) % 68.32/68.56 (assume @p522 (forall @t151 (=> @t767 (=> @t491 (=> @t656 @t769))))) % 68.32/68.56 (assume @p523 (forall @t153 (=> @t771 (=> @t486 (=> @t656 @t770))))) % 68.32/68.56 (assume @p524 (forall @t153 (=> @t767 (=> @t571 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t145 @t49) @t769))))) % 68.32/68.56 (assume @p525 (forall @t153 (=> @t771 (=> @t571 (=> @t622 @t770))))) % 68.32/68.56 (assume @p526 (forall @t775 (=> @t767 (=> @t774 @t773)))) % 68.32/68.56 (assume @p527 (forall @t70 (=> @t729 (=> @t356 @t499)))) % 68.32/68.56 (assume @p528 (forall @t262 (=> @t767 (= @t261 (and @t772 @t774))))) % 68.32/68.56 (assume @p529 (forall @t70 (=> @t761 (or @t499 @t760)))) % 68.32/68.56 (assume @p530 (forall @t776 (=> @t765 (= @t764 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t762 @t5 @t4)))))) % 68.32/68.56 (assume @p531 (forall @t127 (=> @t729 (not (tptp.c_Orderings_Oord__class_Oless @t36 @t35 @t35))))) % 68.32/68.56 (assume @p532 (forall @t262 (=> @t761 (= @t461 (or @t778 @t777))))) % 68.32/68.56 (assume @p533 (forall @t262 (=> @t761 (= @t779 (or @t777 @t261))))) % 68.32/68.56 (assume @p534 (forall @t70 (=> @t761 (or @t354 @t356 @t353)))) % 68.32/68.56 (assume @p535 (forall @t775 (=> @t761 (=> (not @t777) @t780)))) % 68.32/68.56 (assume @p536 (forall @t70 (=> @t761 @t358))) % 68.32/68.56 (assume @p537 (forall @t70 (=> @t767 (=> @t354 @t357)))) % 68.32/68.56 (assume @p538 (forall @t70 (=> @t729 (=> @t354 (not @t353))))) % 68.32/68.56 (assume @p539 (forall @t70 (=> @t767 (=> @t354 (not (= @t34 @t35)))))) % 68.32/68.56 (assume @p540 (forall @t55 (=> @t729 (=> @t53 (not @t150))))) % 68.32/68.56 (assume @p541 (forall @t216 (=> @t767 (=> @t150 (not @t53))))) % 68.32/68.56 (assume @p542 (forall @t153 (=> @t771 (=> @t571 (=> @t411 @t781))))) % 68.32/68.56 (assume @p543 (forall @t153 (=> @t767 (=> @t571 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t145 @t49) @t782))))) % 68.32/68.56 (assume @p544 (forall @t153 (=> @t771 (=> @t53 (=> @t656 @t781))))) % 68.32/68.56 (assume @p545 (forall @t151 (=> @t767 (=> @t150 (=> @t656 @t782))))) % 68.32/68.56 (assume @p546 (forall @t723 (=> @t729 (=> @t354 @t784)))) % 68.32/68.56 (assume @p547 (forall @t233 (=> @t767 (=> @t353 @t786)))) % 68.32/68.56 (assume @p548 (forall @t70 (=> @t761 (=> @t355 (=> @t357 @t353))))) % 68.32/68.56 (assume @p549 (forall @t463 (= (tptp.hAPP @t788 @t546) (tptp.hAPP (tptp.hAPP @t790 @t789) (tptp.hAPP @t788 @t229))))) % 68.32/68.56 (assume @p550 (forall @t463 (= (tptp.hAPP (tptp.hAPP @t787 @t789) @t229) (tptp.hAPP @t788 (tptp.hAPP (tptp.hAPP @t122 @t34) @t229))))) % 68.32/68.56 (assume @p551 (forall @t496 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t51 @t716)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t36 @t792) (tptp.c_RealVector_Onorm__class_Onorm @t36 @t791)))))) % 68.32/68.56 (assume @p552 (forall @t233 (=> @t767 (=> @t760 @t786)))) % 68.32/68.56 (assume @p553 (forall @t723 (=> @t729 (=> @t499 @t784)))) % 68.32/68.56 (assume @p554 (forall @t233 (=> @t767 (=> @t353 (=> @t766 @t785))))) % 68.32/68.56 (assume @p555 (forall @t723 (=> @t729 (=> @t354 (=> @t768 @t783))))) % 68.32/68.56 (assume @p556 (forall @t216 (=> @t767 (=> @t491 (=> @t793 @t150))))) % 68.32/68.56 (assume @p557 (forall @t55 (=> @t767 (=> @t486 (=> @t793 @t53))))) % 68.32/68.56 (assume @p558 (forall @t70 (=> @t767 (=> @t499 (or @t354 @t356))))) % 68.32/68.56 (assume @p559 (forall @t262 (=> @t761 (=> @t772 @t780)))) % 68.32/68.56 (assume @p560 (forall @t70 (=> @t729 (=> @t354 @t499)))) % 68.32/68.56 (assume @p561 @t795) % 68.32/68.56 (assume @p562 (forall @t55 (=> @t767 (=> @t793 (=> @t491 @t150))))) % 68.32/68.56 (assume @p563 (forall @t55 (=> @t767 (=> @t793 (=> @t486 @t53))))) % 68.32/68.56 (assume @p564 (forall @t262 (=> @t761 (=> @t779 @t773)))) % 68.32/68.56 (assume @p565 @t798) % 68.32/68.56 (assume @p566 (forall @t70 (=> @t761 (=> @t355 @t760)))) % 68.32/68.56 (assume @p567 (forall @t262 (=> @t767 (= @t772 (or @t778 @t261))))) % 68.32/68.56 (assume @p568 (forall @t262 (=> @t729 (= @t778 (and @t772 (not @t774)))))) % 68.32/68.56 (assume @p569 (forall @t262 (=> @t767 (= @t778 (and @t772 @t461))))) % 68.32/68.56 (assume @p570 (forall @t70 (=> @t761 (or @t499 @t353)))) % 68.32/68.56 (assume @p571 (forall @t262 (=> @t761 (= (not @t772) @t777)))) % 68.32/68.56 (assume @p572 (forall @t262 (=> @t761 (= @t779 @t774)))) % 68.32/68.56 (assume @p573 (forall @t665 (=> @t664 (= (= @t663 @t82) @t108)))) % 68.32/68.56 (assume @p574 (forall (@list @t799 @t492 @t145 @t49 @t50 @t36) (=> @t298 (= (tptp.c_Rings_Oinverse__class_Odivide @t36 (tptp.c_Groups_Ominus__class_Ominus @t36 @t219 (tptp.hAPP @t180 @t492)) @t799) (tptp.c_Groups_Oplus__class_Oplus @t36 (tptp.hAPP @t60 (tptp.c_Rings_Oinverse__class_Odivide @t36 @t791 @t799)) (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Rings_Oinverse__class_Odivide @t36 @t792 @t799)) @t492)))))) % 68.32/68.56 (assume @p575 (not (= tptp.c_Complex_Oii @t8))) % 68.32/68.56 (assume @p576 (not (= tptp.c_Complex_Oii @t79))) % 68.32/68.56 (assume @p577 (forall @t66 (=> @t86 (exists @t803 (and @t802 @t801))))) % 68.32/68.56 (assume @p578 (forall @t331 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t56) @t7))) % 68.32/68.56 (assume @p579 (forall @t579 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t7) @t116))) % 68.32/68.56 (assume @p580 (forall @t579 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t116) @t7))) % 68.32/68.56 (assume @p581 (forall @t436 (=> @t805 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t116) @t7) @t533)))) % 68.32/68.56 (assume @p582 (forall @t808 (=> @t117 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t594) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t807 @t806))))) % 68.32/68.56 (assume @p583 (forall (@list @t56 @t384 @t444) (=> @t809 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t444 @t56) @t384)))) % 68.32/68.56 (assume @p584 (forall @t640 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t638 @t544) @t804))) % 68.32/68.56 (assume @p585 (forall @t610 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t810 @t593) @t804))) % 68.32/68.56 (assume @p586 (forall @t450 (= @t812 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t599)))) % 68.32/68.56 (assume @p587 (forall @t536 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t56) @t116))) % 68.32/68.56 (assume @p588 (forall @t436 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t143 @t56) @t116))) % 68.32/68.56 (assume @p589 (forall @t543 (=> @t816 (=> @t815 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t814 @t813) @t631))))) % 68.32/68.56 (assume @p590 (forall @t610 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t384 @t116) (=> @t637 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t384) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t384)) @t804))))) % 68.32/68.56 (assume @p591 (forall @t543 (=> @t816 (=> @t815 (= (= @t814 @t813) @t306))))) % 68.32/68.56 (assume @p592 (forall @t817 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t56) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t118)) @t118)))) % 68.32/68.56 (assume @p593 (forall @t808 (=> @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t594) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t594))))) % 68.32/68.56 (assume @p594 (forall @t808 (=> @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t807 @t806)))) % 68.32/68.56 (assume @p595 (forall @t436 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t804 @t116))) % 68.32/68.56 (assume @p596 (forall @t545 (= (tptp.hAPP (tptp.hAPP @t122 @t804) @t384) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t607 @t555)))) % 68.32/68.56 (assume @p597 (forall @t610 (= (tptp.hAPP @t445 @t804) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t609 @t608)))) % 68.32/68.56 (assume @p598 (forall @t450 (=> @t821 (=> @t820 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t818 @t118) (tptp.hAPP @t818 @t444)))))) % 68.32/68.56 (assume @p599 (forall @t368 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t305) (= (= (tptp.hAPP (tptp.hAPP @t790 @t305) @t87) @t822) (and (= @t305 @t822) (= @t87 @t822)))))) % 68.32/68.56 (assume @p600 (forall @t613 (= (tptp.hAPP (tptp.hAPP @t790 @t827) @t244) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t826 @t824)))) % 68.32/68.56 (assume @p601 (forall @t613 (= (tptp.hAPP (tptp.hAPP @t790 @t828) @t244) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t826 @t824)))) % 68.32/68.56 (assume @p602 (forall @t553 (= (tptp.hAPP (tptp.hAPP @t790 (tptp.hAPP @t825 @t549)) @t548) (tptp.hAPP @t825 (tptp.hAPP @t823 @t548))))) % 68.32/68.56 (assume @p603 (forall @t832 (= (tptp.hAPP @t829 @t827) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t831 @t830)))) % 68.32/68.56 (assume @p604 (forall @t832 (= (tptp.hAPP @t829 @t828) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t831 @t830)))) % 68.32/68.56 (assume @p605 (forall @t458 (= (tptp.hAPP @t833 @t244) (tptp.hAPP @t829 @t229)))) % 68.32/68.56 (assume @p606 (forall @t612 (= (tptp.hAPP @t833 @t822) @t229))) % 68.32/68.56 (assume @p607 (forall @t612 (= (tptp.hAPP (tptp.hAPP @t790 @t822) @t229) @t229))) % 68.32/68.56 (assume @p608 (forall @t776 (=> @t765 (= (tptp.c_Orderings_Oord__class_Oless @t763 @t2 @t1) (and @t764 (not (tptp.c_Orderings_Oord__class_Oless__eq @t763 @t1 @t2))))))) % 68.32/68.56 (assume @p609 (forall (@list @t161 @t107 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t834 (tptp.hAPP @t836 @t107)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t835 (tptp.hAPP @t836 @t161))))) % 68.32/68.56 (assume @p610 (forall @t364 (= @t460 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t89 @t169) @t83)))) % 68.32/68.56 (assume @p611 (forall @t837 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t87 @t305)) @t531))) % 68.32/68.56 (assume @p612 (forall @t536 (=> @t257 (=> @t345 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t804 @t116))))) % 68.32/68.56 (assume @p613 (forall @t536 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t547) @t7))) % 68.32/68.56 (assume @p614 (forall @t436 (=> @t470 @t805))) % 68.32/68.56 (assume @p615 (forall @t368 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t305 @t87) @t7) @t631))) % 68.32/68.56 (assume @p616 (forall @t436 (=> @t839 @t838))) % 68.32/68.56 (assume @p617 (forall @t844 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t841 @t843) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t842 @t840)))) % 68.32/68.56 (assume @p618 (forall @t543 (=> @t816 (=> @t815 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t814 @t813) @t531))))) % 68.32/68.56 (assume @p619 (forall @t845 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t49) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145 @t50) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t50 @t145) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t49 @t145)))))) % 68.32/68.56 (assume @p620 (forall @t850 (=> @t849 (= @t848 @t847)))) % 68.32/68.56 (assume @p621 (forall @t850 (=> @t849 (= @t847 @t848)))) % 68.32/68.56 (assume @p622 (forall @t850 (=> @t849 (= @t852 @t851)))) % 68.32/68.56 (assume @p623 (forall @t844 (=> @t854 (= (= @t853 @t539) (= @t840 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t539 @t841)))))) % 68.32/68.56 (assume @p624 (forall @t536 (=> @t625 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t804 @t56) @t116)))) % 68.32/68.56 (assume @p625 (forall (@list @t841 @t840 @t539) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t539 @t840) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t841 @t843) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t842 @t840))))) % 68.32/68.56 (assume @p626 (forall @t850 (=> @t849 (= @t851 @t852)))) % 68.32/68.56 (assume @p627 (forall @t536 (=> @t625 @t838))) % 68.32/68.56 (assume @p628 (forall @t855 (=> @t637 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t384))))) % 68.32/68.56 (assume @p629 (forall (@list @t841 @t539 @t840) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t843 @t841) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t840 @t842)))) % 68.32/68.56 (assume @p630 (forall @t850 (=> @t849 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t846) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t597 @t444))))) % 68.32/68.56 (assume @p631 (forall @t364 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t169)) (or @t299 @t363 @t362)))) % 68.32/68.56 (assume @p632 (forall @t856 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t49 @t50)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t49)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t50)))) % 68.32/68.56 (assume @p633 (forall @t55 (=> @t85 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t735 (tptp.c_RealVector_Onorm__class_Onorm @t36 @t51))))) % 68.32/68.56 (assume @p634 (forall @t865 (= @t864 (not (or (and @t863 @t862) (exists @t860 (and @t859 (not @t858)))))))) % 68.32/68.56 (assume @p635 (forall @t865 (= @t864 (and (=> @t863 @t861) (forall @t860 (=> @t859 @t858)))))) % 68.32/68.56 (assume @p636 (forall @t871 (=> @t854 (= @t870 (= @t305 @t867))))) % 68.32/68.56 (assume @p637 (forall (@list @t56 @t116 @t560 @t444 @t118) (=> @t626 (= @t872 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t444 @t118)) @t560) @t56)))))) % 68.32/68.56 (assume @p638 (forall @t871 (=> @t854 (= @t873 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t305 @t867))))) % 68.32/68.56 (assume @p639 (forall @t876 (=> @t875 (= @t870 (= @t874 @t87))))) % 68.32/68.56 (assume @p640 (forall (@list @t56 @t116 @t560 @t118 @t444) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t444 @t118) (= @t872 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t811) @t560) @t116) @t56))))) % 68.32/68.56 (assume @p641 (forall @t876 (=> @t875 (= @t873 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t874 @t87))))) % 68.32/68.56 (assume @p642 (forall (@list @t116 @t56 @t50 @t36) (=> @t178 (=> @t134 (=> @t625 (= (tptp.hAPP @t58 @t804) (tptp.c_Rings_Oinverse__class_Odivide @t36 @t121 @t59))))))) % 68.32/68.56 (assume @p643 (forall @t876 (=> @t875 (= @t877 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t874 @t87))))) % 68.32/68.56 (assume @p644 (forall @t871 (=> @t854 (= @t877 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t305 @t867))))) % 68.32/68.56 (assume @p645 (forall @t436 (and (=> @t435 (= @t124 @t7)) (=> @t879 (= @t124 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 (tptp.hAPP (tptp.hAPP @t122 @t878) @t56))))))) % 68.32/68.56 (assume @p646 (forall @t578 (=> @t322 (= @t311 (not (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t87 @t132))))))) % 68.32/68.56 (assume @p647 (forall (@list @t691 @t116) (and (=> @t435 (= @t881 @t132)) (=> @t879 (= @t881 (tptp.hAPP @t727 (tptp.hAPP @t880 @t878))))))) % 68.32/68.56 (assume @p648 (forall @t526 (=> @t125 (=> @t257 (= (tptp.hAPP (tptp.hAPP @t37 (tptp.hAPP @t290 @t882)) @t35) @t291))))) % 68.32/68.56 (assume @p649 (forall (@list @t492 @t49 @t145 @t50 @t36) (=> @t739 (= (tptp.c_Groups_Ominus__class_Ominus @t36 @t409 @t674) (tptp.c_Groups_Oplus__class_Oplus @t36 @t731 (tptp.c_Groups_Ominus__class_Ominus @t36 @t145 @t492)))))) % 68.32/68.56 (assume @p650 (forall (@list @t116 @t56 @t36) (=> @t114 (and (=> @t138 (= @t884 @t47)) (=> @t139 (= @t884 (tptp.hAPP @t414 (tptp.hAPP @t883 @t882)))))))) % 68.32/68.56 (assume @p651 (forall @t66 (=> @t86 (exists @t803 (and @t885 @t801))))) % 68.32/68.56 (assume @p652 (forall @t131 (=> @t135 (exists @t803 (and @t802 @t887))))) % 68.32/68.56 (assume @p653 (forall @t450 (= @t812 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t384) @t444)))) % 68.32/68.56 (assume @p654 (forall @t630 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t539 @t628) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t539 @t628) @t819)))) % 68.32/68.56 (assume @p655 (forall (@list @t229 @t889 @t244 @t890) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t890 @t244) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t889 @t229) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t890 @t889) @t888))))) % 68.32/68.56 (assume @p656 (forall @t450 (=> @t891 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t384 @t118) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t384 @t444))))) % 68.32/68.56 (assume @p657 (forall @t558 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t244 @t229) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t244 @t822) @t229)))) % 68.32/68.56 (assume @p658 (forall @t612 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t229) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t892)))) % 68.32/68.56 (assume @p659 (forall @t894 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t170 @t822) @t173) @t893))) % 68.32/68.56 (assume @p660 (forall @t894 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t170 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t173 @t822)) @t893))) % 68.32/68.56 (assume @p661 (forall @t894 (= @t895 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t170 @t173)))) % 68.32/68.56 (assume @p662 (forall (@list @t170 @t173) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t173 @t170) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t173 @t170) (not (= @t173 @t170)))))) % 68.32/68.56 (assume @p663 (forall @t896 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t822 @t173) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t173)))) % 68.32/68.56 (assume @p664 (not (= @t819 @t822))) % 68.32/68.56 (assume @p665 (forall @t612 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t892 @t229) @t819)))) % 68.32/68.56 (assume @p666 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t822)) % 68.32/68.56 (assume @p667 (forall @t612 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t819 @t229) @t229))) % 68.32/68.56 (assume @p668 (forall @t612 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t229 @t819) @t229))) % 68.32/68.56 (assume @p669 (forall @t458 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t229 @t244) @t888))) % 68.32/68.56 (assume @p670 (forall @t442 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t34) @t356 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t34 @t35)))) % 68.32/68.56 (assume @p671 (forall @t894 (= @t895 (or @t893 (= @t170 @t173))))) % 68.32/68.56 (assume @p672 (forall @t463 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t229)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t229))))) % 68.32/68.56 (assume @p673 (forall @t553 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t828 @t548) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t551 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t549 @t548))))) % 68.32/68.56 (assume @p674 (forall @t896 (= (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 @t822 @t173) @t173) @t819) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t173 @t819)))) % 68.32/68.56 (assume @p675 (forall @t450 (=> @t821 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t118 @t384) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t444 @t384))))) % 68.32/68.56 (assume @p676 (forall @t900 (=> @t899 (=> @t898 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t31 @t50) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t822 @t690)))))) % 68.32/68.56 (assume @p677 (forall @t900 (=> @t899 (=> @t898 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t690 @t822)))))) % 68.32/68.56 (assume @p678 (forall @t914 (=> @t913 (=> @t910 (=> @t908 (=> @t907 (=> @t905 (=> @t904 @t903)))))))) % 68.32/68.56 (assume @p679 (forall @t455 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t244 @t244))) % 68.32/68.56 (assume @p680 (forall @t458 (or @t916 @t915))) % 68.32/68.56 (assume @p681 (forall @t450 (=> @t891 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t444 @t384) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t118 @t384))))) % 68.32/68.56 (assume @p682 (forall @t458 (=> @t916 (=> @t915 @t459)))) % 68.32/68.56 (assume @p683 (forall @t919 (=> @t918 (=> @t917 (=> @t905 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t902)))))) % 68.32/68.56 (assume @p684 (forall @t919 (=> @t910 (=> @t907 (=> @t905 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t902 @t819)))))) % 68.32/68.56 (assume @p685 (forall @t921 (=> @t920 (=> @t907 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t906 @t49) (=> @t908 @t903)))))) % 68.32/68.56 (assume @p686 (forall @t914 (=> @t913 (=> @t918 (=> @t917 (=> @t901 (=> @t905 (=> @t904 @t922)))))))) % 68.32/68.56 (assume @p687 (forall @t921 (=> @t920 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t31 @t819) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t31) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t906) @t922)))))) % 68.32/68.56 (assume @p688 (forall @t260 (=> @t923 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 (tptp.hAPP @t788 @t56))))) % 68.32/68.56 (assume @p689 (forall @t442 (=> @t923 (=> @t924 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 (tptp.hAPP (tptp.hAPP @t790 @t35) @t34)))))) % 68.32/68.56 (assume @p690 (forall @t442 (=> @t923 (=> @t924 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t34)))))) % 68.32/68.56 (assume @p691 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t819)) % 68.32/68.56 (assume @p692 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t822)) % 68.32/68.56 (assume @p693 (forall @t66 (=> @t45 (exists @t803 (and @t802 @t927))))) % 68.32/68.56 (assume @p694 (forall @t127 (=> @t45 (exists @t803 (and @t802 @t928))))) % 68.32/68.56 (assume @p695 (forall @t131 (=> @t45 (exists @t803 (and @t802 @t929))))) % 68.32/68.56 (assume @p696 (forall @t933 (and @t932 (=> (not @t931) (= @t930 @t819))))) % 68.32/68.56 (assume @p697 (forall @t463 (=> @t935 @t934))) % 68.32/68.56 (assume @p698 (forall @t936 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t229) @t934))) % 68.32/68.56 (assume @p699 (forall @t442 (=> @t923 (=> @t924 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t930))))) % 68.32/68.56 (assume @p700 (forall @t933 @t932)) % 68.32/68.56 (assume @p701 (forall @t463 (=> @t537 @t937))) % 68.32/68.56 (assume @p702 (forall @t936 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t229) @t937))) % 68.32/68.56 (assume @p703 (forall @t442 (=> @t537 @t935))) % 68.32/68.56 (assume @p704 (forall @t66 (=> @t86 (exists @t803 @t801)))) % 68.32/68.56 (assume @p705 (forall (@list @t87 @t527) (=> @t862 (=> (tptp.hBOOL @t528) (exists @t635 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t633 @t87) (forall @t941 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t938 @t633) (not @t940))) (tptp.hBOOL (tptp.hAPP @t527 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t633 @t132))))))))) % 68.32/68.56 (assume @p706 (forall @t131 (=> @t135 (exists @t803 (and @t885 @t887))))) % 68.32/68.56 (assume @p707 (forall @t944 (=> @t257 (=> @t943 (exists (@list @t942) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t942) (= (tptp.hAPP (tptp.hAPP @t72 @t942) @t56) @t50))))))) % 68.32/68.56 (assume @p708 (forall @t944 (=> @t257 (=> @t943 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t3) (= (tptp.hAPP (tptp.hAPP @t72 @t3) @t56) @t50) (forall @t946 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t945) (= (tptp.hAPP (tptp.hAPP @t72 @t945) @t56) @t50)) (= @t945 @t3))))))))) % 68.32/68.56 (assume @p709 (forall @t131 (=> @t45 (exists @t803 (and @t885 @t929))))) % 68.32/68.56 (assume @p710 (forall @t66 (=> @t45 (exists @t803 (and @t885 @t927))))) % 68.32/68.56 (assume @p711 (forall @t127 (=> @t45 (exists @t803 (and @t885 @t928))))) % 68.32/68.56 (assume @p712 (forall @t70 (=> @t167 (=> (forall @t80 (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t82 @t75) (=> (tptp.c_Orderings_Oord__class_Oless @t36 @t75 @t47) (tptp.c_Orderings_Oord__class_Oless__eq @t36 (tptp.hAPP (tptp.hAPP @t37 @t75) @t35) @t34)))) @t499)))) % 68.32/68.56 (assume @p713 (= (tptp.c_Complex_Oexpi @t8) @t79)) % 68.32/68.56 (assume @p714 (forall @t947 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t50 @t49)) (tptp.hAPP (tptp.hAPP @t77 (tptp.c_Complex_Oexpi @t50)) (tptp.c_Complex_Oexpi @t49))))) % 68.32/68.56 (assume @p715 (forall @t950 (=> @t572 (= (tptp.c_RComplete_Onatceiling @t949) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t948 @t132))))) % 68.32/68.56 (assume @p716 (forall (@list @t952 @t951 @t36 @t762) (=> (and @t957 @t771) (=> (forall @t629 (=> @t956 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t762 (tptp.c_Groups_Ominus__class_Ominus @t762 @t953 @t954)) @t10))) (forall @t629 (=> @t956 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t955 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 (tptp.c_RealVector_Onorm__class_Onorm @t762 @t953))))))))) % 68.32/68.56 (assume @p717 (= (tptp.c_RComplete_Onatceiling @t83) @t7)) % 68.32/68.56 (assume @p718 (= (tptp.c_RComplete_Onatceiling @t10) @t132)) % 68.32/68.56 (assume @p719 (forall @t442 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t948 (tptp.c_RComplete_Onatceiling @t34))))) % 68.32/68.56 (assume @p720 (forall @t950 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t948))) % 68.32/68.56 (assume @p721 (forall @t950 (=> @t958 (= @t948 @t7)))) % 68.32/68.56 (assume @p722 (forall @t338 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t959 @t132) @t573))) % 68.32/68.56 (assume @p723 (forall @t950 (=> @t572 (= (tptp.c_RComplete_Onatfloor @t949) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t960 @t132))))) % 68.32/68.56 (assume @p724 (forall @t349 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t962 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t963) (= @t948 @t961))))) % 68.32/68.56 (assume @p725 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t962))) % 68.32/68.56 (assume @p726 (forall @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t35 @t10) @t964))) % 68.32/68.56 (assume @p727 (forall @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t964 @t10)))) % 68.32/68.56 (assume @p728 (forall @t331 (= (tptp.c_RComplete_Onatfloor @t962) @t56))) % 68.32/68.56 (assume @p729 (forall @t331 (= (tptp.c_RComplete_Onatceiling @t962) @t56))) % 68.32/68.56 (assume @p730 (forall @t260 (=> (= @t35 @t964) (= (tptp.c_RComplete_Onatfloor @t259) (tptp.hAPP (tptp.hAPP @t91 @t960) @t56))))) % 68.32/68.56 (assume @p731 (forall @t950 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t948)))) % 68.32/68.56 (assume @p732 (forall @t967 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t966 @t50) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t965)))) % 68.32/68.56 (assume @p733 (forall @t349 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t962 @t35) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t963) (= @t960 @t56))))) % 68.32/68.56 (assume @p734 (forall (@list @t56 @t229) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t229) @t132) @t56) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t229 @t962)))) % 68.32/68.56 (assume @p735 (forall @t967 (=> @t572 (= (tptp.c_RComplete_Onatfloor @t969) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t960 @t50))))) % 68.32/68.56 (assume @p736 (forall @t260 (=> @t572 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 @t962) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t960 @t56))))) % 68.32/68.56 (assume @p737 (forall @t972 (=> @t466 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t107 @t971) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t970 @t89))))) % 68.32/68.56 (assume @p738 (forall @t950 (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t964 @t35)))) % 68.32/68.56 (assume @p739 (forall @t975 (=> @t974 (= (tptp.c_RComplete_Onatfloor @t973) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t960 @t50))))) % 68.32/68.56 (assume @p740 (forall @t436 (= @t978 @t976))) % 68.32/68.56 (assume @p741 (forall @t436 (= @t976 @t978))) % 68.32/68.56 (assume @p742 (forall @t837 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t980) @t979))) % 68.32/68.56 (assume @p743 (forall @t436 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t124) (tptp.hAPP (tptp.hAPP @t32 @t977) @t962)))) % 68.32/68.56 (assume @p744 (forall @t436 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t143) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t977 @t962)))) % 68.32/68.56 (assume @p745 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t132) @t10)) % 68.32/68.56 (assume @p746 (forall @t837 (= (= @t981 @t980) @t982))) % 68.32/68.56 (assume @p747 (forall @t837 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t981 @t980) @t530))) % 68.32/68.56 (assume @p748 (forall @t331 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t962 @t83)))) % 68.32/68.56 (assume @p749 (forall @t578 (= (= @t981 @t83) @t88))) % 68.32/68.56 (assume @p750 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t7) @t83)) % 68.32/68.56 (assume @p751 (= (tptp.c_RComplete_Onatfloor @t83) @t7)) % 68.32/68.56 (assume @p752 (forall @t950 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t960))) % 68.32/68.56 (assume @p753 (forall @t442 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t960 (tptp.c_RComplete_Onatfloor @t34))))) % 68.32/68.56 (assume @p754 (= (tptp.c_RComplete_Onatfloor @t10) @t132)) % 68.32/68.56 (assume @p755 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t981 @t83) @t88))) % 68.32/68.56 (assume @p756 (forall @t536 (=> @t625 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t804) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t977 @t962))))) % 68.32/68.56 (assume @p757 (forall @t967 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t35 @t968) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t948 @t50)))) % 68.32/68.56 (assume @p758 (forall @t950 (=> @t958 (= @t960 @t7)))) % 68.32/68.56 (assume @p759 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t981) @t322))) % 68.32/68.56 (assume @p760 (forall @t837 (= @t530 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t981 @t10) @t980)))) % 68.32/68.56 (assume @p761 (forall @t837 (= @t979 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t981 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t980 @t10))))) % 68.32/68.56 (assume @p762 (forall @t972 (=> @t466 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t959 @t107) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t89 @t970))))) % 68.32/68.56 (assume @p763 (forall @t975 (=> @t974 (= (tptp.c_RComplete_Onatceiling @t973) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t948 @t50))))) % 68.32/68.56 (assume @p764 (forall @t338 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t132 @t971) @t983))) % 68.32/68.56 (assume @p765 (forall @t967 (=> @t572 (= (tptp.c_RComplete_Onatceiling @t969) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t948 @t50))))) % 68.32/68.56 (assume @p766 (forall @t260 (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t984 @t35) @t10) (tptp.hAPP (tptp.hAPP @t72 @t949) @t56))))) % 68.32/68.56 (assume @p767 (forall @t947 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t50) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t49) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t965) (tptp.c_RComplete_Onatfloor @t49)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t32 @t50) @t49))))))) % 68.32/68.56 (assume @p768 (forall @t987 (=> @t986 (exists @t629 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t132)) @t31) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t985)))))) % 68.32/68.56 (assume @p769 (forall @t442 (=> @t574 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t34) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t35 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t34))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t960 @t34)))))) % 68.32/68.56 (assume @p770 (forall @t129 (=> @t988 (=> @t134 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t50 @t50) @t47))))) % 68.32/68.56 (assume @p771 (forall @t610 (and (=> @t992 (= @t990 @t7)) (=> (not @t992) @t991)))) % 68.32/68.56 (assume @p772 (forall @t436 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t989 @t116))) % 68.32/68.56 (assume @p773 (forall @t545 (=> @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t116 @t384) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t56 @t384))))) % 68.32/68.56 (assume @p774 (forall @t845 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t50 @t995) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t993 @t145)))) % 68.32/68.56 (assume @p775 (forall @t129 (=> @t988 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t50 @t47) @t50)))) % 68.32/68.56 (assume @p776 (forall @t129 (=> @t988 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t50 @t82) @t82)))) % 68.32/68.56 (assume @p777 (forall @t129 (=> @t988 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t82 @t50) @t82)))) % 68.32/68.56 (assume @p778 (forall @t436 @t996)) % 68.32/68.56 (assume @p779 (forall @t186 (=> @t988 (and (=> @t183 (= @t998 @t82)) @t999)))) % 68.32/68.56 (assume @p780 (forall @t216 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t219 @t49) @t50))))) % 68.32/68.56 (assume @p781 (forall @t216 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t403 @t49) @t50))))) % 68.32/68.56 (assume @p782 (forall @t186 (=> @t988 (=> @t184 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t189 @t188) @t997))))) % 68.32/68.56 (assume @p783 (forall @t186 (=> @t988 @t999))) % 68.32/68.56 (assume @p784 (forall @t545 (=> @t345 (=> @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t384 @t56) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t384 @t116)))))) % 68.32/68.56 (assume @p785 (forall @t536 (=> @t257 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t556 @t56) @t116)))) % 68.32/68.56 (assume @p786 (forall @t536 (=> @t257 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t124 @t56) @t116)))) % 68.32/68.56 (assume @p787 (forall @t610 (=> @t448 @t991))) % 68.32/68.56 (assume @p788 (forall @t536 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t132 @t56) (=> @t345 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t989 @t116))))) % 68.32/68.56 (assume @p789 (forall @t349 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1001 @t1000))) % 68.32/68.56 (assume @p790 (forall @t151 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t181) @t49) @t1002))))) % 68.32/68.56 (assume @p791 (forall @t151 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 (tptp.c_Groups_Oplus__class_Oplus @t36 @t50 @t188) @t49) @t1002))))) % 68.32/68.56 (assume @p792 (forall @t216 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t659 @t49) @t1003))))) % 68.32/68.56 (assume @p793 (forall @t216 (=> @t988 (=> @t212 (= (tptp.c_Divides_Odiv__class_Odiv @t36 @t51 @t49) @t1003))))) % 68.32/68.56 (assume @p794 (forall @t1006 (= (tptp.hBOOL (tptp.hAPP @t527 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t87 @t539))) (and (=> @t583 @t861) (=> (not @t583) (forall @t1005 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1004 @t539) (=> (= @t87 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t585 @t938) @t1004)) @t940)))))))) % 68.32/68.56 (assume @p795 (forall @t349 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t1007))) % 68.32/68.56 (assume @p796 (forall @t349 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1007 @t10))) % 68.32/68.56 (assume @p797 (forall (@list @t952 @t36) (=> @t767 (= (tptp.c_SEQ_Odecseq @t36 @t952) (forall (@list @t74 @t627) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t74 @t627) (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t954 (tptp.hAPP @t952 @t74)))))))) % 68.32/68.56 (assume @p798 (forall (@list @t56 @t50 @t31) (= (tptp.hAPP (tptp.hAPP @t15 (tptp.c_Complex_Orcis @t31 @t50)) @t56) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t72 @t31) @t56) (tptp.hAPP @t984 @t50))))) % 68.32/68.56 (assume @p799 (forall @t1008 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t819 @t49) @t819))) % 68.32/68.56 (assume @p800 (forall @t1009 (=> (not (= @t50 @t819)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t50 @t50) @t822)))) % 68.32/68.56 (assume @p801 (forall @t1013 (=> @t1012 (= @t1011 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 @t819))))) % 68.32/68.56 (assume @p802 (forall @t1013 (=> @t1014 (= @t1011 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t107))))) % 68.32/68.56 (assume @p803 (forall @t947 (=> @t1017 (=> @t1016 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1015 @t819))))) % 68.32/68.56 (assume @p804 (forall @t442 (=> @t923 (=> @t924 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t35 @t34)))))) % 68.32/68.56 (assume @p805 (forall @t1021 (=> @t1020 (=> @t1019 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1018 @t1015))))) % 68.32/68.56 (assume @p806 (forall @t1021 (=> @t1020 (=> @t1016 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1015 @t1018))))) % 68.32/68.56 (assume @p807 (forall @t947 (=> @t1024 (=> @t1023 @t1022)))) % 68.32/68.56 (assume @p808 (forall @t1026 (=> @t1017 (=> @t905 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1025 @t1015)))))) % 68.32/68.56 (assume @p809 (forall @t947 (=> @t1024 (=> @t1016 @t1027)))) % 68.32/68.56 (assume @p810 (forall @t1013 (=> @t1014 (= @t1028 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 @t819))))) % 68.32/68.56 (assume @p811 (forall @t947 (=> @t1030 (=> @t1029 @t1022)))) % 68.32/68.56 (assume @p812 (forall @t947 (=> @t1030 (=> @t1019 @t1027)))) % 68.32/68.56 (assume @p813 (forall @t1026 (=> @t1030 (=> @t905 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1015 @t1025)))))) % 68.32/68.56 (assume @p814 (forall (@list @t161 @t107) (=> @t1031 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t1010) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t161 @t107) @t1012))))) % 68.32/68.56 (assume @p815 (forall (@list @t841 @t539) (=> @t1033 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t1032) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t539 @t841))))) % 68.32/68.56 (assume @p816 (forall @t1013 (=> @t1012 (= @t1028 @t1031)))) % 68.32/68.56 (assume @p817 (forall (@list @t539 @t841) (= (= @t1032 @t819) (or @t1034 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t841) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t841 @t539)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t841 @t819) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t539 @t841)))))) % 68.32/68.56 (assume @p818 (forall (@list @t384 @t35) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t35) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t822 @t384) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t35 @t384) @t35))))) % 68.32/68.56 (assume @p819 (forall (@list @t49 @t50 @t145) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t819 @t145) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t50 (tptp.hAPP @t911 @t145)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1015 @t145))))) % 68.32/68.56 (assume @p820 (forall @t987 (= (tptp.c_Complex_Orcis @t31 @t83) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t31)))) % 68.32/68.56 (assume @p821 (forall @t1009 (= (tptp.c_Complex_Orcis @t83 @t50) @t8))) % 68.32/68.56 (assume @p822 (forall @t1006 (= (tptp.hBOOL @t1038) (and (=> @t1034 (tptp.hBOOL (tptp.hAPP @t527 @t819))) (=> @t1033 (forall @t941 (=> (exists @t1036 @t1037) @t940))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t539 @t819) (forall @t941 (=> (exists @t1036 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t539 @t1004) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1004 @t819) @t1035)) @t940))))))) % 68.32/68.56 (assume @p823 (forall (@list @t1041 @t34 @t1039 @t1040) (=> (= @t1040 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t790 @t1039) @t34) @t1041)) (=> (and (=> @t1042 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t819 @t1041) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1041 @t1039))) (=> (not @t1042) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1039 @t1041) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1041 @t819)))) (=> (not (= @t1039 @t819)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1040 @t1039) @t34)))))) % 68.32/68.56 (assume @p824 (forall @t1047 (= (tptp.hAPP (tptp.hAPP @t77 @t1046) @t1045) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t32 @t1044) @t1043) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t50 @t49))))) % 68.32/68.56 (assume @p825 (forall @t1047 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t1046 @t1045) (tptp.c_Complex_Orcis (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t1044 @t1043) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t50 @t49))))) % 68.32/68.56 (assume @p826 (forall (@list @t384 @t116) (=> @t345 (=> @t820 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1049 @t116) @t384) (tptp.hAPP @t1049 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t1048))))))) % 68.32/68.56 (assume @p827 (forall @t260 (=> @t344 (= (tptp.c_Transcendental_Oln @t259) (tptp.hAPP @t984 @t1050))))) % 68.32/68.56 (assume @p828 (forall @t436 (=> @t117 @t1053))) % 68.32/68.56 (assume @p829 (forall @t331 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t1051))) % 68.32/68.56 (assume @p830 (forall @t331 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t1051))) % 68.32/68.56 (assume @p831 (forall @t579 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t116 @t1048) @t116))) % 68.32/68.56 (assume @p832 (forall @t950 (= (tptp.c_NthRoot_Oroot @t1048 @t35) @t35))) % 68.32/68.56 (assume @p833 (forall @t368 (= (= @t582 @t1048) (and @t1055 @t1054)))) % 68.32/68.56 (assume @p834 (forall @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t116))))) % 68.32/68.56 (assume @p835 (forall @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t118))))) % 68.32/68.56 (assume @p836 (forall @t368 (= @t531 (exists @t635 (= @t87 (tptp.c_Nat_OSuc @t634)))))) % 68.32/68.56 (assume @p837 (forall @t837 (= @t530 @t1058))) % 68.32/68.56 (assume @p838 (forall @t368 (= @t1059 @t631))) % 68.32/68.56 (assume @p839 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1060 @t87) @t531))) % 68.32/68.56 (assume @p840 (forall @t436 (=> @t470 @t1061))) % 68.32/68.56 (assume @p841 (forall @t436 (=> @t117 @t1062))) % 68.32/68.56 (assume @p842 (forall @t368 (=> @t631 @t1064))) % 68.32/68.56 (assume @p843 (forall @t436 (=> @t1062 @t117))) % 68.32/68.56 (assume @p844 (= @t132 @t1048)) % 68.32/68.56 (assume @p845 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1067 @t1066) @t531))) % 68.32/68.56 (assume @p846 (forall @t436 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t804 @t1052))) % 68.32/68.56 (assume @p847 (forall @t436 (= (tptp.hAPP @t123 @t1051) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t124)))) % 68.32/68.56 (assume @p848 (forall @t436 (= (tptp.hAPP (tptp.hAPP @t122 @t1052) @t56) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t124)))) % 68.32/68.56 (assume @p849 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1067 @t1066) @t631))) % 68.32/68.56 (assume @p850 (forall @t536 (=> @t625 (= @t1068 (tptp.c_Nat_OSuc @t804))))) % 68.32/68.56 (assume @p851 (forall @t331 (= @t1051 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t132 @t56)))) % 68.32/68.56 (assume @p852 (forall @t331 (= @t1051 @t961))) % 68.32/68.56 (assume @p853 (forall @t436 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1052 @t1051) @t804))) % 68.32/68.56 (assume @p854 (forall @t545 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1068 (tptp.c_Nat_OSuc @t384)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t804 @t384)))) % 68.32/68.56 (assume @p855 (forall @t579 (not (= @t7 @t1052)))) % 68.32/68.56 (assume @p856 (forall (@list @t1069) (not (= @t7 (tptp.c_Nat_OSuc @t1069))))) % 68.32/68.56 (assume @p857 (forall @t579 (not (= @t1052 @t7)))) % 68.32/68.56 (assume @p858 (forall (@list @t1070) (not (= (tptp.c_Nat_OSuc @t1070) @t7)))) % 68.32/68.56 (assume @p859 (forall @t436 (=> @t1053 @t117))) % 68.32/68.56 (assume @p860 (forall @t436 (=> @t1071 @t117))) % 68.32/68.56 (assume @p861 (forall @t436 (=> @t1061 (=> @t839 @t533)))) % 68.32/68.56 (assume @p862 (forall @t450 (=> @t449 (=> @t809 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1072 @t384))))) % 68.32/68.56 (assume @p863 (forall @t436 (=> @t117 (=> (not (= @t1052 @t56)) @t1071)))) % 68.32/68.56 (assume @p864 (forall @t436 (=> @t117 @t1061))) % 68.32/68.56 (assume @p865 (forall @t536 (=> (not @t535) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t1052) @t533)))) % 68.32/68.56 (assume @p866 (forall @t837 (=> (not @t530) @t1064))) % 68.32/68.56 (assume @p867 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1060 @t1057) @t531))) % 68.32/68.56 (assume @p868 (forall @t368 (= @t1059 @t632))) % 68.32/68.56 (assume @p869 (forall @t368 (= (not @t531) @t1063))) % 68.32/68.56 (assume @p870 (forall @t436 (= @t1074 @t1073))) % 68.32/68.56 (assume @p871 (forall @t436 (= @t1074 @t1075))) % 68.32/68.56 (assume @p872 (forall @t436 (= @t1073 @t1075))) % 68.32/68.56 (assume @p873 (forall (@list @t87 @t107 @t758 @t757 @t36) (= (tptp.hAPP @t759 @t1057) (tptp.hAPP (tptp.hAPP @t758 @t107) (tptp.hAPP @t759 @t87))))) % 68.32/68.56 (assume @p874 (forall @t442 (=> (= @t1076 (tptp.c_Nat_OSuc @t34)) @t356))) % 68.32/68.56 (assume @p875 (forall (@list @t1077 @t1078) (= (= (tptp.c_Nat_OSuc @t1078) (tptp.c_Nat_OSuc @t1077)) (= @t1078 @t1077)))) % 68.32/68.56 (assume @p876 (forall @t331 (not (= @t1051 @t56)))) % 68.32/68.56 (assume @p877 (forall @t331 (not (= @t56 @t1051)))) % 68.32/68.56 (assume @p878 (forall @t338 (= (tptp.c_Parity_Oeven__odd__class_Oeven tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t89)) @t361))) % 68.32/68.56 (assume @p879 (forall @t543 (= (= @t1067 @t1066) @t306))) % 68.32/68.56 (assume @p880 (forall @t368 (= (= @t366 @t1048) @t1079))) % 68.32/68.56 (assume @p881 (forall @t368 (= (= @t1048 @t366) @t1079))) % 68.32/68.56 (assume @p882 (forall @t950 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t35 @t1080) (or (= @t35 @t7) (= @t35 @t1048))))) % 68.32/68.56 (assume @p883 (forall @t368 (= @t1059 (or @t580 (exists @t1036 (and (= @t305 (tptp.c_Nat_OSuc @t1004)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1004 @t87))))))) % 68.32/68.56 (assume @p884 (forall @t578 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t1048) @t88))) % 68.32/68.56 (assume @p885 (forall @t578 (= @t322 (exists @t81 (= @t87 (tptp.c_Nat_OSuc @t74)))))) % 68.32/68.56 (assume @p886 (forall @t64 (=> @t114 (= @t1081 @t61)))) % 68.32/68.56 (assume @p887 (forall @t64 (=> @t125 (= @t1081 @t286)))) % 68.32/68.56 (assume @p888 (forall @t1084 (=> @t694 (= @t1083 @t1082)))) % 68.32/68.56 (assume @p889 (forall @t1084 (=> @t694 (= @t1082 @t1083)))) % 68.32/68.56 (assume @p890 (forall @t1084 (=> @t694 (= (tptp.hAPP @t726 @t35) @t1083)))) % 68.32/68.56 (assume @p891 (forall @t141 (=> @t140 (= (tptp.hAPP @t136 @t1051) @t82)))) % 68.32/68.56 (assume @p892 (forall @t331 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1051 @t56)))) % 68.32/68.56 (assume @p893 (forall @t368 (= (not @t631) @t1058))) % 68.32/68.56 (assume @p894 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t305 @t1057) (or @t631 (= @t305 @t1057))))) % 68.32/68.56 (assume @p895 (forall @t837 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1057 @t1060) @t979))) % 68.32/68.56 (assume @p896 (forall @t436 (=> @t470 @t1085))) % 68.32/68.56 (assume @p897 (forall @t436 (=> @t1085 (=> (not @t470) (= @t116 @t1051))))) % 68.32/68.56 (assume @p898 (forall @t436 (=> @t1062 @t470))) % 68.32/68.56 (assume @p899 (forall @t331 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1051 @t132) @t56))) % 68.32/68.56 (assume @p900 (forall @t436 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t1051) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t878 @t56)))) % 68.32/68.56 (assume @p901 (forall (@list @t305 @t89) (= (= (tptp.hAPP @t92 @t305) @t1048) (or @t580 (= @t89 @t1048))))) % 68.32/68.56 (assume @p902 (forall @t331 (= (tptp.hAPP (tptp.hAPP @t91 @t1048) @t56) @t1048))) % 68.32/68.56 (assume @p903 (= (tptp.c_Transcendental_Oln @t10) @t83)) % 68.32/68.56 (assume @p904 (forall @t364 (=> @t1088 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1087 @t1086) @t433))))) % 68.32/68.56 (assume @p905 (forall @t364 (=> @t1088 (=> @t350 (= (= @t1087 @t1086) @t261))))) % 68.32/68.56 (assume @p906 (forall @t950 (=> @t344 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1050 @t35)))) % 68.32/68.56 (assume @p907 (forall @t515 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t1081 @t1089) (=> @t478 @t486))))) % 68.32/68.56 (assume @p908 (forall @t515 (=> @t63 (=> (= @t1081 @t1089) (=> @t469 (=> @t478 @t571)))))) % 68.32/68.56 (assume @p909 (forall @t64 (=> @t63 (=> @t62 (tptp.c_Orderings_Oord__class_Oless @t36 @t47 @t1081))))) % 68.32/68.56 (assume @p910 (forall @t536 (=> @t1091 (=> @t1090 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t124))))) % 68.32/68.56 (assume @p911 (forall @t536 (=> @t1091 (=> @t1090 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t56 @t556))))) % 68.32/68.56 (assume @p912 (forall @t536 (=> @t1091 (=> @t1090 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1048 @t124))))) % 68.32/68.56 (assume @p913 (forall (@list @t118 @t56) (=> @t257 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t1072) @t56)))) % 68.32/68.56 (assume @p914 (forall @t331 (=> @t257 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t1048)) @t56)))) % 68.32/68.56 (assume @p915 (forall @t368 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1048 @t582) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1048 @t305) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1048 @t87))))) % 68.32/68.56 (assume @p916 (forall @t331 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t1092))) % 68.32/68.56 (assume @p917 (forall @t1095 (=> @t849 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1094 @t116) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1093 @t810))))) % 68.32/68.56 (assume @p918 (forall @t1095 (=> @t849 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t1094) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t638 @t1093))))) % 68.32/68.56 (assume @p919 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t1048) @t10)) % 68.32/68.56 (assume @p920 (forall @t338 (= @t360 (exists @t946 (= @t89 @t1097))))) % 68.32/68.56 (assume @p921 (forall @t338 (= @t361 (exists @t946 (= @t89 (tptp.c_Nat_OSuc @t1097)))))) % 68.32/68.56 (assume @p922 (forall @t331 (= @t1092 @t963))) % 68.32/68.56 (assume @p923 (forall @t950 (=> @t1100 (= @t1099 @t1098)))) % 68.32/68.56 (assume @p924 (forall @t950 (=> @t1101 (= @t1099 (tptp.c_Nat_OSuc @t1098))))) % 68.32/68.56 (assume @p925 (forall @t817 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1048 @t118) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1048 @t120)))) % 68.32/68.56 (assume @p926 (forall @t364 (=> @t1088 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1087 @t1086) @t460))))) % 68.32/68.56 (assume @p927 (forall @t950 (=> @t574 @t1102))) % 68.32/68.56 (assume @p928 (forall @t950 (=> @t1103 (=> @t344 @t318)))) % 68.32/68.56 (assume @p929 (forall @t950 (=> @t344 (=> @t352 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1050 @t83))))) % 68.32/68.56 (assume @p930 (forall @t338 (=> @t1088 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1087 @t83) @t320)))) % 68.32/68.56 (assume @p931 (forall @t338 (=> @t1088 (= (= @t1087 @t83) @t332)))) % 68.32/68.56 (assume @p932 (forall @t338 (=> @t1088 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t83 @t1087) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t89))))) % 68.32/68.56 (assume @p933 (forall @t950 (=> @t318 @t1103))) % 68.32/68.56 (assume @p934 (forall (@list @t56 @t31 @t36) (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t82 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t31 @t47) (tptp.c_Orderings_Oord__class_Oless__eq @t36 (tptp.hAPP (tptp.hAPP @t57 @t31) @t1051) @t31)))))) % 68.32/68.56 (assume @p935 (forall @t64 (=> @t63 (=> @t144 (=> @t239 (tptp.c_Orderings_Oord__class_Oless @t36 @t1081 @t47)))))) % 68.32/68.56 (assume @p936 (forall (@list @t34 @t56 @t691 @t36) (=> @t125 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t691 @t56) (= (tptp.hAPP @t498 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1051 @t691)) (tptp.hAPP (tptp.hAPP @t37 (tptp.hAPP @t498 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t56 @t691))) @t34)))))) % 68.32/68.56 (assume @p937 (forall @t331 (=> @t257 (= @t1104 @t56)))) % 68.32/68.56 (assume @p938 (forall @t331 (=> @t257 (= @t56 @t1104)))) % 68.32/68.56 (assume @p939 (forall @t436 (and (=> @t435 (= @t143 @t56)) (=> @t879 (= @t143 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t878 @t56))))))) % 68.32/68.56 (assume @p940 (forall @t536 (=> @t257 (and @t996 @t1106)))) % 68.32/68.56 (assume @p941 (forall @t536 (=> @t257 @t1106))) % 68.32/68.56 (assume @p942 (forall @t260 (=> @t344 (= (tptp.c_NthRoot_Oroot @t1051 (tptp.hAPP @t258 @t1051)) @t35)))) % 68.32/68.56 (assume @p943 (forall @t950 (=> @t1100 (= @t1107 @t35)))) % 68.32/68.56 (assume @p944 (forall @t950 (=> @t1101 (= (tptp.c_Nat_OSuc @t1107) @t35)))) % 68.32/68.56 (assume @p945 (forall @t950 (=> @t1102 (=> @t344 @t574)))) % 68.32/68.56 (assume @p946 (forall @t338 (=> @t1088 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t83 @t1087) @t983)))) % 68.32/68.56 (assume @p947 (forall @t442 (=> @t344 (=> @t441 (= (tptp.c_Transcendental_Oln @t69) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1050 @t1108)))))) % 68.32/68.56 (assume @p948 (forall @t950 (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 @t35)) @t35)))) % 68.32/68.56 (assume @p949 (forall @t442 (=> @t344 (=> @t441 (= (tptp.c_Transcendental_Oln @t296) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1050 @t1108)))))) % 68.32/68.56 (assume @p950 (forall @t70 (=> (tptp.class_Rings_Ocomm__ring__1 @t36) (= (tptp.c_Groups_Ominus__class_Ominus @t36 (tptp.hAPP @t290 @t1080) (tptp.hAPP @t498 @t1080)) (tptp.hAPP @t734 @t266))))) % 68.32/68.56 (assume @p951 (forall @t1113 (=> @t957 (= @t1112 (exists @t1111 (forall @t629 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t955 @t1110))))))) % 68.32/68.56 (assume @p952 (forall @t1113 (=> @t957 (= @t1112 (exists @t1111 (forall @t629 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t955 @t1110))))))) % 68.32/68.56 (assume @p953 (forall (@list @t305 @t1115 @t87) (=> @t322 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t589 @t1115) @t305) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t305 (tptp.hAPP @t589 (tptp.c_Nat_OSuc @t1115)))) (= @t1115 @t1114))))) % 68.32/68.56 (assume @p954 (forall (@list @t87 @t305 @t527) (= (tptp.hBOOL (tptp.hAPP @t527 @t1114)) (or (and @t88 @t861) (exists (@list @t1116) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t589 @t1116) @t305) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t305 (tptp.hAPP @t589 (tptp.c_Nat_OSuc @t1116))) (tptp.hBOOL (tptp.hAPP @t527 @t1116)))))))) % 68.32/68.56 (assume @p955 (forall @t536 (=> @t257 (=> @t625 @t1105)))) % 68.32/68.56 (assume @p956 (forall @t933 (=> @t441 (=> @t572 (exists @t629 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t32 @t985) @t34) @t35) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t35 (tptp.hAPP (tptp.hAPP @t32 @t1117) @t34)))))))) % 68.32/68.56 (assume @p957 (forall @t987 (=> @t986 (exists @t629 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t985 @t31) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t1117)))))) % 68.32/68.56 (assume @p958 (forall (@list @t35 @t492) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t492) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t966 @t1118) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t35 @t492)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t35 @t492)) @t1118)))))) % 68.32/68.56 (assume @p959 (forall (@list @t87 @t527 @t539) (=> @t1033 (= (tptp.hBOOL (tptp.hAPP @t1038 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t87 @t539))) (forall @t1005 (=> @t1037 (tptp.hBOOL (tptp.hAPP @t939 @t1004)))))))) % 68.32/68.56 (assume @p960 (forall @t55 (=> @t988 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t1120 @t1119) @t50)))) % 68.32/68.56 (assume @p961 (forall @t216 (=> @t988 (= @t1121 @t50)))) % 68.32/68.56 (assume @p962 (forall @t55 (=> @t988 (= @t1122 @t50)))) % 68.32/68.56 (assume @p963 (forall @t151 (=> @t988 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t1121 @t145) @t409)))) % 68.32/68.56 (assume @p964 (forall @t153 (=> @t988 (= (tptp.c_Groups_Oplus__class_Oplus @t36 @t1122 @t145) @t409)))) % 68.32/68.56 (assume @p965 (forall @t536 (=> @t257 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1123 @t56)))) % 68.32/68.56 (assume @p966 (forall @t855 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t608 @t116)) @t56) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1052 @t56)))) % 68.32/68.56 (assume @p967 (forall @t947 (=> @t1024 (=> @t1023 @t1125)))) % 68.32/68.56 (assume @p968 (forall @t856 (=> @t1019 (and @t1126 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t49 @t1124))))) % 68.32/68.56 (assume @p969 (forall @t856 (=> @t1019 @t1126))) % 68.32/68.56 (assume @p970 (forall @t947 (=> @t1030 (=> @t1029 @t1125)))) % 68.32/68.56 (assume @p971 (forall @t856 (=> @t1016 (and @t1127 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1124 @t49))))) % 68.32/68.56 (assume @p972 (forall @t856 (=> @t1016 @t1127))) % 68.32/68.56 (assume @p973 (forall @t950 (=> @t1101 (= @t1128 @t1048)))) % 68.32/68.56 (assume @p974 (forall @t950 (=> @t1100 (= @t1128 @t7)))) % 68.32/68.56 (assume @p975 (forall @t338 (= @t361 (= @t1129 @t1048)))) % 68.32/68.56 (assume @p976 (forall @t338 (= @t360 (= @t1129 @t7)))) % 68.32/68.56 (assume @p977 (forall @t845 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t50 @t995) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t994 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t993 @t145)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t50 @t49))))) % 68.32/68.56 (assume @p978 (forall @t845 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1130 @t49) @t145) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1130 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t49 @t145)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1130 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t49 @t145)) @t145))))) % 68.32/68.56 (assume @p979 (forall @t436 (= @t1132 @t1131))) % 68.32/68.56 (assume @p980 (forall @t536 (= (tptp.hAPP @t554 @t989) @t1131))) % 68.32/68.56 (assume @p981 (forall @t436 (= @t1123 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t1132)))) % 68.32/68.56 (assume @p982 (forall @t947 (= @t50 @t1133))) % 68.32/68.56 (assume @p983 (forall @t845 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t897 @t49) @t145) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t897 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t49 @t145)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t897 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t49 @t145)) @t145))))) % 68.32/68.56 (assume @p984 (forall (@list @t384 @t50 @t49) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t1133 @t384) @t1134))) % 68.32/68.56 (assume @p985 (forall (@list @t384 @t49 @t50) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t790 @t1015) @t49) @t1124) @t384) @t1134))) % 68.32/68.56 (assume @p986 (forall @t536 (= (tptp.hAPP (tptp.hAPP @t790 @t56) @t1136) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t116 @t1135)))) % 68.32/68.57 (assume @p987 (forall @t436 (= @t1135 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t116 (tptp.hAPP (tptp.hAPP @t790 @t1136) @t56))))) % 68.32/68.57 (assume @p988 (forall @t1140 (=> (tptp.class_Orderings_Opreorder @t1137) (tptp.class_Orderings_Opreorder @t1139)))) % 68.32/68.57 (assume @p989 (forall @t1140 (=> (tptp.class_Orderings_Oorder @t1137) (tptp.class_Orderings_Oorder @t1139)))) % 68.32/68.57 (assume @p990 (forall @t1140 (=> (tptp.class_Orderings_Oord @t1137) (tptp.class_Orderings_Oord @t1139)))) % 68.32/68.57 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p995 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p996 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p998 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p999 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1000 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1001 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1002 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1003 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1004 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1005 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1008 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1009 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1010 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1011 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1012 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1013 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1014 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1015 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1017 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1018 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1020 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1021 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1022 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1023 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1024 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1025 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1026 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1027 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1028 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1029 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1030 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1031 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1032 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1033 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1034 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1035 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1036 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1037 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1038 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1039 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1040 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 68.32/68.57 (assume @p1041 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1042 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1043 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1044 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1045 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1046 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1047 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1048 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1049 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1050 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1051 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1052 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1053 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1054 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1055 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1056 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1057 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1058 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1059 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1060 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1061 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1062 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1063 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1064 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1065 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1066 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1067 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1068 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1070 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1071 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1072 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1073 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1074 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1075 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 68.32/68.57 (assume @p1076 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 68.32/68.57 (assume @p1077 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 68.32/68.57 (assume @p1078 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 68.32/68.57 (assume @p1079 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1080 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1081 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1082 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1083 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1084 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1085 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1086 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1087 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1088 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1089 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1090 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1091 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1092 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1093 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1094 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1095 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1096 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1097 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1098 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1099 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1100 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1101 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1102 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1103 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1104 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1105 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1106 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1107 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1108 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1109 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1110 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1111 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1112 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1113 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1114 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1115 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1116 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1117 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1118 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1119 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1120 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1121 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1122 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1123 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1124 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1125 @t1141) % 68.32/68.57 (assume @p1126 @t1142) % 68.32/68.57 (assume @p1127 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1128 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1129 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1130 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1131 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1132 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1133 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1134 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1135 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1136 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1137 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1138 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1139 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1140 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 68.32/68.57 (assume @p1141 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1142 @t1143) % 68.32/68.57 (assume @p1143 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1144 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1145 @t1144) % 68.32/68.57 (assume @p1146 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1147 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1148 @t1145) % 68.32/68.57 (assume @p1149 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1150 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1151 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1152 @t1146) % 68.32/68.57 (assume @p1153 @t1147) % 68.32/68.57 (assume @p1154 @t1148) % 68.32/68.57 (assume @p1155 @t1149) % 68.32/68.57 (assume @p1156 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1157 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1158 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1159 @t1150) % 68.32/68.57 (assume @p1160 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1161 @t1151) % 68.32/68.57 (assume @p1162 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1163 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1164 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1165 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1166 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1167 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1168 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1169 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1170 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1171 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1172 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1173 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1174 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1175 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1176 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1177 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (assume @p1178 (not @t1157)) % 68.32/68.57 (assume @p1179 true) % 68.32/68.57 (step @p1180 :rule evaluate :args ((= false true))) % 68.32/68.57 (step @p1181 :rule aci_norm :args ((= (or @t1158 (or @t760 @t354)) (or @t1158 @t760 @t354)))) % 68.32/68.57 (step @p1182 :rule refl :args (@t354)) % 68.32/68.57 (step @p1183 :rule bool-double-not-elim :args (@t760)) % 68.32/68.57 (step @p1184 :rule nary_cong :premises (@p1183 @p1182) :args ((or (not @t796) @t354))) % 68.32/68.57 (step @p1185 :rule bool-impl-elim :args (@t796 @t354)) % 68.32/68.57 (step @p1186 :rule trans :premises (@p1185 @p1184)) % 68.32/68.57 (step @p1187 :rule refl :args (@t1158)) % 68.32/68.57 (step @p1188 :rule nary_cong :premises (@p1187 @p1186) :args ((or @t1158 @t797))) % 68.32/68.57 (step @p1189 :rule trans :premises (@p1188 @p1181)) % 68.32/68.57 (step @p1190 :rule bool-impl-elim :args (@t761 @t797)) % 68.32/68.57 (step @p1191 :rule trans :premises (@p1190 @p1189)) % 68.32/68.57 (step @p1192 :rule cong :premises (@p1191) :args (@t798)) % 68.32/68.57 (step @p1193 :rule eq_resolve :premises (@p565 @p1192)) % 68.32/68.57 (step @p1194 :rule instantiate :premises (@p1193) :args ((@list @t1156 @t1153 tptp.tc_RealDef_Oreal))) % 68.32/68.57 (step @p1195 :rule cnf_or_pos :args (@t1161)) % 68.32/68.57 (step @p1196 :rule reordering :premises (@p1195) :args ((or @t1157 @t1160 @t1159 (not @t1161)))) % 68.32/68.57 (step @p1197 :rule chain_m_resolution :premises (@p1196 @p1178 @p1125 @p1194) :args (@t1159 @t1162 (@list @t1157 @t1141 @t1161))) % 68.32/68.57 (step @p1198 :rule true_intro :premises (@p1197)) % 68.32/68.57 (step @p1199 :rule bool-impl-elim :args (@t293 @t309)) % 68.32/68.57 (step @p1200 :rule cong :premises (@p1199) :args (@t310)) % 68.32/68.57 (step @p1201 :rule eq_resolve :premises (@p99 @p1200)) % 68.32/68.57 (step @p1202 :rule eq-symm :args (@t1165 @t1156)) % 68.32/68.57 (step @p1203 :rule refl :args (@t1166)) % 68.32/68.57 (step @p1204 :rule nary_cong :premises (@p1203 @p1202) :args (@t1167)) % 68.32/68.57 (step @p1205 :rule refl :args (@t1168)) % 68.32/68.57 (step @p1206 :rule cong :premises (@p1205 @p1204) :args ((=> @t1168 @t1167))) % 68.32/68.57 (assume-push @p1641 @t1168) % 68.32/68.57 (step @p1208 :rule instantiate :premises (@p1201) :args ((@list @t1155 @t13 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step-pop @p1642 :rule scope :premises (@p1208)) % 68.32/68.57 (step @p1209 :rule process_scope :premises (@p1642) :args (@t1167)) % 68.32/68.57 (step @p1211 :rule eq_resolve :premises (@p1209 @p1206)) % 68.32/68.57 (step @p1212 :rule implies_elim :premises (@p1211)) % 68.32/68.57 (step @p1213 :rule chain_m_resolution :premises (@p1212 @p1201) :args (@t1170 @t1171 (@list @t1168))) % 68.32/68.57 (step @p1214 :rule cnf_or_pos :args (@t1170)) % 68.32/68.57 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t1166 @t1169 (not @t1170)))) % 68.32/68.57 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1142 @p1213) :args (@t1169 @t1172 (@list @t1143 @t1170))) % 68.32/68.57 (step @p1217 :rule symm :premises (@p1216)) % 68.32/68.57 (step @p1218 :rule bool-impl-elim :args (@t45 @t275)) % 68.32/68.57 (step @p1219 :rule cong :premises (@p1218) :args (@t277)) % 68.32/68.57 (step @p1220 :rule eq_resolve :premises (@p79 @p1219)) % 68.32/68.57 (step @p1221 :rule instantiate :premises (@p1220) :args ((@list @t1154 @t79 @t13 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1222 :rule cnf_or_pos :args (@t1176)) % 68.32/68.57 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t1175 @t1174 (not @t1176)))) % 68.32/68.57 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p1145 @p1221) :args (@t1174 @t1172 (@list @t1144 @t1176))) % 68.32/68.57 (step @p1225 :rule symm :premises (@p1224)) % 68.32/68.57 (step @p1226 :rule bool-impl-elim :args (@t694 @t714)) % 68.32/68.57 (step @p1227 :rule cong :premises (@p1226) :args (@t715)) % 68.32/68.57 (step @p1228 :rule eq_resolve :premises (@p453 @p1227)) % 68.32/68.57 (step @p1229 :rule instantiate :premises (@p1228) :args ((@list @t1154 @t13 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1230 :rule cnf_or_pos :args (@t1179)) % 68.32/68.57 (step @p1231 :rule reordering :premises (@p1230) :args ((or @t1178 @t1177 (not @t1179)))) % 68.32/68.57 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1159 @p1229) :args (@t1177 @t1172 (@list @t1150 @t1179))) % 68.32/68.57 (step @p1233 :rule symm :premises (@p1232)) % 68.32/68.57 (step @p1234 :rule refl :args (tptp.v_b)) % 68.32/68.57 (step @p1235 :rule aci_norm :args ((= (or @t1182 (or @t1181 @t1180)) @t1183))) % 68.32/68.57 (step @p1236 :rule refl :args (@t1180)) % 68.32/68.57 (step @p1237 :rule bool-double-not-elim :args (@t1181)) % 68.32/68.57 (step @p1238 :rule nary_cong :premises (@p1237 @p1236) :args ((or @t1185 @t1180))) % 68.32/68.57 (step @p1239 :rule bool-impl-elim :args (@t1184 @t1180)) % 68.32/68.57 (step @p1240 :rule trans :premises (@p1239 @p1238)) % 68.32/68.57 (step @p1241 :rule refl :args (@t1182)) % 68.32/68.57 (step @p1242 :rule nary_cong :premises (@p1241 @p1240) :args ((or @t1182 @t1186))) % 68.32/68.57 (step @p1243 :rule trans :premises (@p1242 @p1235)) % 68.32/68.57 (step @p1244 :rule bool-impl-elim :args (@t376 @t1186)) % 68.32/68.57 (step @p1245 :rule trans :premises (@p1244 @p1243)) % 68.32/68.57 (step @p1246 :rule cong :premises (@p1245) :args ((forall @t228 (=> @t376 @t1186)))) % 68.32/68.57 (step @p1247 :rule eq-symm :args (@t206 @t195)) % 68.32/68.57 (step @p1248 :rule eq-symm :args (@t194 @t161)) % 68.32/68.57 (step @p1249 :rule refl :args (@t206)) % 68.32/68.57 (step @p1250 :rule cong :premises (@p1249 @p1248) :args (@t416)) % 68.32/68.57 (step @p1251 :rule trans :premises (@p1250 @p1247)) % 68.32/68.57 (step @p1252 :rule eq-symm :args (@t190 @t82)) % 68.32/68.57 (step @p1253 :rule cong :premises (@p1252) :args (@t196)) % 68.32/68.57 (step @p1254 :rule cong :premises (@p1253 @p1251) :args (@t417)) % 68.32/68.57 (step @p1255 :rule refl :args (@t376)) % 68.32/68.57 (step @p1256 :rule cong :premises (@p1255 @p1254) :args (@t418)) % 68.32/68.57 (step @p1257 :rule cong :premises (@p1256) :args (@t419)) % 68.32/68.57 (step @p1258 :rule trans :premises (@p1257 @p1246)) % 68.32/68.57 (step @p1259 :rule eq_resolve :premises (@p179 @p1258)) % 68.32/68.57 (step @p1260 :rule bool-eq-true :args (@t1188)) % 68.32/68.57 (step @p1261 :rule eq-symm :args (true @t1188)) % 68.32/68.57 (step @p1262 :rule trans :premises (@p1261 @p1260)) % 68.32/68.57 (step @p1263 :rule refl :args (@t1188)) % 68.32/68.57 (step @p1264 :rule eq-refl :args (@t13)) % 68.32/68.57 (step @p1265 :rule cong :premises (@p1264 @p1263) :args ((= @t1189 @t1188))) % 68.32/68.57 (step @p1266 :rule trans :premises (@p1265 @p1262)) % 68.32/68.57 (step @p1267 :rule eq-symm :args (@t1188 @t1189)) % 68.32/68.57 (step @p1268 :rule trans :premises (@p1267 @p1266)) % 68.32/68.57 (step @p1269 :rule eq-symm :args (@t8 tptp.v_b)) % 68.32/68.57 (step @p1270 :rule refl :args (@t1190)) % 68.32/68.57 (step @p1271 :rule nary_cong :premises (@p1270 @p1269 @p1268) :args (@t1192)) % 68.32/68.57 (step @p1272 :rule refl :args (@t1193)) % 68.32/68.57 (step @p1273 :rule cong :premises (@p1272 @p1271) :args ((=> @t1193 @t1192))) % 68.32/68.57 (assume-push @p1643 @t1193) % 68.32/68.57 (step @p1275 :rule instantiate :premises (@p1259) :args ((@list @t12 @t13 tptp.v_b tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step-pop @p1644 :rule scope :premises (@p1275)) % 68.32/68.57 (step @p1276 :rule process_scope :premises (@p1644) :args (@t1192)) % 68.32/68.57 (step @p1278 :rule eq_resolve :premises (@p1276 @p1273)) % 68.32/68.57 (step @p1279 :rule implies_elim :premises (@p1278)) % 68.32/68.57 (step @p1280 :rule chain_m_resolution :premises (@p1279 @p1259) :args (@t1194 @t1171 (@list @t1193))) % 68.32/68.57 (step @p1281 :rule cnf_or_pos :args (@t1194)) % 68.32/68.57 (step @p1282 :rule reordering :premises (@p1281) :args ((or @t9 @t1190 @t1188 (not @t1194)))) % 68.32/68.57 (step @p1283 :rule chain_m_resolution :premises (@p1282 @p3 @p1161 @p1280) :args (@t1188 @t1162 (@list @t9 @t1151 @t1194))) % 68.32/68.57 (step @p1284 :rule symm :premises (@p1283)) % 68.32/68.57 (step @p1285 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 68.32/68.57 (step @p1286 :rule cong :premises (@p1285 @p1284 @p1234) :args (@t1195)) % 68.32/68.57 (step @p1287 :rule bool-impl-elim :args (@t376 @t378)) % 68.32/68.57 (step @p1288 :rule cong :premises (@p1287) :args (@t379)) % 68.32/68.57 (step @p1289 :rule eq_resolve :premises (@p142 @p1288)) % 68.32/68.57 (step @p1290 :rule instantiate :premises (@p1289) :args ((@list tptp.v_b tptp.v_b @t13 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1291 :rule cnf_or_pos :args (@t1199)) % 68.32/68.57 (step @p1292 :rule reordering :premises (@p1291) :args ((or @t1190 @t1198 (not @t1199)))) % 68.32/68.57 (step @p1293 :rule chain_m_resolution :premises (@p1292 @p1161 @p1290) :args (@t1198 @t1172 (@list @t1151 @t1199))) % 68.32/68.57 (step @p1294 :rule trans :premises (@p1293 @p1286)) % 68.32/68.57 (step @p1295 :rule instantiate :premises (@p1228) :args ((@list @t25 tptp.v_b tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1296 :rule cnf_or_pos :args (@t1203)) % 68.32/68.57 (step @p1297 :rule reordering :premises (@p1296) :args ((or @t1178 @t1202 (not @t1203)))) % 68.32/68.57 (step @p1298 :rule chain_m_resolution :premises (@p1297 @p1159 @p1295) :args (@t1202 @t1172 (@list @t1150 @t1203))) % 68.32/68.57 (step @p1299 :rule symm :premises (@p1298)) % 68.32/68.57 (step @p1300 :rule refl :args (@t77)) % 68.32/68.57 (step @p1301 :rule cong :premises (@p1300 @p1299) :args (@t1204)) % 68.32/68.57 (step @p1302 :rule cong :premises (@p1301 @p1294) :args ((tptp.hAPP @t1204 @t1197))) % 68.32/68.57 (step @p1303 :rule symm :premises (@p1294)) % 68.32/68.57 (step @p1304 :rule refl :args (@t1204)) % 68.32/68.57 (step @p1305 :rule cong :premises (@p1304 @p1303) :args (@t1205)) % 68.32/68.57 (step @p1306 :rule bool-impl-elim :args (@t646 @t645)) % 68.32/68.57 (step @p1307 :rule cong :premises (@p1306) :args (@t647)) % 68.32/68.57 (step @p1308 :rule eq_resolve :premises (@p394 @p1307)) % 68.32/68.57 (step @p1309 :rule instantiate :premises (@p1308) :args ((@list @t13 tptp.v_b @t25 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1310 :rule cnf_or_pos :args (@t1209)) % 68.32/68.57 (step @p1311 :rule reordering :premises (@p1310) :args ((or @t1208 @t1207 (not @t1209)))) % 68.32/68.57 (step @p1312 :rule chain_m_resolution :premises (@p1311 @p1154 @p1309) :args (@t1207 @t1172 (@list @t1148 @t1209))) % 68.32/68.57 (step @p1313 :rule symm :premises (@p1312)) % 68.32/68.57 (step @p1314 :rule instantiate :premises (@p1228) :args ((@list tptp.v_b @t13 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1315 :rule cnf_or_pos :args (@t1211)) % 68.32/68.57 (step @p1316 :rule reordering :premises (@p1315) :args ((or @t1178 @t1210 (not @t1211)))) % 68.32/68.57 (step @p1317 :rule chain_m_resolution :premises (@p1316 @p1159 @p1314) :args (@t1210 @t1172 (@list @t1150 @t1211))) % 68.32/68.57 (step @p1318 :rule cong :premises (@p1285 @p19) :args ((tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t73))) % 68.32/68.57 (step @p1319 :rule instantiate :premises (@p74) :args ((@list tptp.v_na____ @t26))) % 68.32/68.57 (step @p1320 :rule trans :premises (@p1319 @p1318 @p1283 @p1317)) % 68.32/68.57 (step @p1321 :rule cong :premises (@p1300 @p10) :args (@t1212)) % 68.32/68.57 (step @p1322 :rule cong :premises (@p1321 @p1320) :args (@t1213)) % 68.32/68.57 (step @p1323 :rule bool-impl-elim :args (@t283 @t282)) % 68.32/68.57 (step @p1324 :rule cong :premises (@p1323) :args (@t285)) % 68.32/68.57 (step @p1325 :rule eq_resolve :premises (@p81 @p1324)) % 68.32/68.57 (step @p1326 :rule instantiate :premises (@p1325) :args ((@list tptp.v_na____ @t27 @t28 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step @p1327 :rule cnf_or_pos :args (@t1217)) % 68.32/68.57 (step @p1328 :rule reordering :premises (@p1327) :args ((or @t1216 @t1215 (not @t1217)))) % 68.32/68.57 (step @p1329 :rule chain_m_resolution :premises (@p1328 @p1155 @p1326) :args (@t1215 @t1172 (@list @t1149 @t1217))) % 68.32/68.57 (step @p1330 :rule refl :args (tptp.v_na____)) % 68.32/68.57 (step @p1331 :rule bool-impl-elim :args (@t1181 @t1218)) % 68.32/68.57 (step @p1332 :rule refl :args (@t195)) % 68.32/68.57 (step @p1333 :rule nary_cong :premises (@p1237 @p1332) :args ((or @t1185 @t195))) % 68.32/68.57 (step @p1334 :rule bool-impl-elim :args (@t1184 @t195)) % 68.32/68.57 (step @p1335 :rule trans :premises (@p1334 @p1333)) % 68.32/68.57 (step @p1336 :rule nary_cong :premises (@p1335 @p1331) :args (@t1219)) % 68.32/68.57 (step @p1337 :rule refl :args (@t206)) % 68.32/68.57 (step @p1338 :rule cong :premises (@p1337 @p1336) :args (@t1220)) % 68.32/68.57 (step @p1339 :rule refl :args (@t1221)) % 68.32/68.57 (step @p1340 :rule nary_cong :premises (@p1339 @p1338) :args ((or @t1221 @t1220))) % 68.32/68.57 (step @p1341 :rule bool-impl-elim :args (@t185 @t1220)) % 68.32/68.57 (step @p1342 :rule trans :premises (@p1341 @p1340)) % 68.32/68.57 (step @p1343 :rule cong :premises (@p1342) :args ((forall @t203 (=> @t185 @t1220)))) % 68.32/68.57 (step @p1344 :rule eq-symm :args (@t107 @t82)) % 68.32/68.57 (step @p1345 :rule cong :premises (@p1252 @p1344) :args (@t192)) % 68.32/68.57 (step @p1346 :rule refl :args (@t195)) % 68.32/68.57 (step @p1347 :rule cong :premises (@p1253 @p1346) :args (@t197)) % 68.32/68.57 (step @p1348 :rule nary_cong :premises (@p1347 @p1345) :args (@t198)) % 68.32/68.57 (step @p1349 :rule eq-symm :args (@t199 @t107)) % 68.32/68.57 (step @p1350 :rule cong :premises (@p1349 @p1348) :args (@t201)) % 68.32/68.57 (step @p1351 :rule refl :args (@t185)) % 68.32/68.57 (step @p1352 :rule cong :premises (@p1351 @p1350) :args (@t202)) % 68.32/68.57 (step @p1353 :rule cong :premises (@p1352) :args 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@p1533) :args (@t422)) % 68.32/68.57 (step @p1537 :rule cong :premises (@p1255 @p1536) :args (@t423)) % 68.32/68.57 (step @p1538 :rule cong :premises (@p1537) :args (@t425)) % 68.32/68.57 (step @p1539 :rule trans :premises (@p1538 @p1530)) % 68.32/68.57 (step @p1540 :rule eq_resolve :premises (@p181 @p1539)) % 68.32/68.57 (step @p1541 :rule refl :args (@t1281)) % 68.32/68.57 (step @p1542 :rule nary_cong :premises (@p1270 @p1269 @p1541) :args (@t1282)) % 68.32/68.57 (step @p1543 :rule refl :args (@t1283)) % 68.32/68.57 (step @p1544 :rule cong :premises (@p1543 @p1542) :args ((=> @t1283 @t1282))) % 68.32/68.57 (assume-push @p1653 @t1283) % 68.32/68.57 (step @p1546 :rule instantiate :premises (@p1540) :args ((@list @t79 tptp.v_b tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step-pop @p1654 :rule scope :premises (@p1546)) % 68.32/68.57 (step @p1547 :rule process_scope :premises (@p1654) :args (@t1282)) % 68.32/68.57 (step @p1549 :rule eq_resolve :premises (@p1547 @p1544)) % 68.32/68.57 (step @p1550 :rule implies_elim :premises (@p1549)) % 68.32/68.57 (step @p1551 :rule chain_m_resolution :premises (@p1550 @p1540) :args (@t1284 @t1171 (@list @t1283))) % 68.32/68.57 (step @p1552 :rule cnf_or_pos :args (@t1284)) % 68.32/68.57 (step @p1553 :rule reordering :premises (@p1552) :args ((or @t9 @t1190 @t1281 (not @t1284)))) % 68.32/68.57 (step @p1554 :rule chain_m_resolution :premises (@p1553 @p3 @p1161 @p1551) :args (@t1281 @t1162 (@list @t9 @t1151 @t1284))) % 68.32/68.57 (step @p1555 :rule symm :premises (@p1554)) % 68.32/68.57 (step @p1556 :rule eq-symm :args (@t1280 @t1285)) % 68.32/68.57 (step @p1557 :rule refl :args (@t1178)) % 68.32/68.57 (step @p1558 :rule nary_cong :premises (@p1557 @p1556) :args (@t1286)) % 68.32/68.57 (step @p1559 :rule refl :args (@t1287)) % 68.32/68.57 (step @p1560 :rule cong :premises (@p1559 @p1558) :args ((=> @t1287 @t1286))) % 68.32/68.57 (assume-push @p1655 @t1287) % 68.32/68.57 (step @p1562 :rule instantiate :premises (@p1228) :args ((@list tptp.v_b @t79 tptp.tc_Complex_Ocomplex))) % 68.32/68.57 (step-pop @p1656 :rule scope :premises (@p1562)) % 68.32/68.57 (step @p1563 :rule process_scope :premises (@p1656) :args (@t1286)) % 68.32/68.57 (step @p1565 :rule eq_resolve :premises (@p1563 @p1560)) % 68.32/68.57 (step @p1566 :rule implies_elim :premises (@p1565)) % 68.32/68.57 (step @p1567 :rule chain_m_resolution :premises (@p1566 @p1228) :args (@t1289 @t1171 (@list @t1287))) % 68.32/68.57 (step @p1568 :rule cnf_or_pos :args (@t1289)) % 68.32/68.57 (step @p1569 :rule reordering :premises (@p1568) :args ((or @t1178 @t1288 (not @t1289)))) % 68.32/68.57 (step @p1570 :rule chain_m_resolution :premises (@p1569 @p1159 @p1567) :args (@t1288 @t1172 (@list @t1150 @t1289))) % 68.32/68.57 (step @p1571 :rule bool-impl-elim :args (@t694 @t1290)) % 68.32/68.57 (step @p1572 :rule cong :premises (@p1571) :args ((forall @t129 (=> @t694 @t1290)))) % 68.32/68.57 (step @p1573 :rule eq-symm :args (@t684 @t50)) % 68.32/68.57 (step @p1574 :rule refl :args (@t694)) % 68.32/68.57 (step @p1575 :rule cong :premises (@p1574 @p1573) :args (@t724)) % 68.32/68.57 (step @p1576 :rule cong :premises (@p1575) :args (@t725)) % 68.32/68.57 (step @p1577 :rule trans :premises (@p1576 @p1572)) % 68.32/68.57 (step @p1578 :rule eq_resolve :premises (@p470 @p1577)) % 68.32/68.57 (step @p1579 :rule instantiate :premises (@p1578) :args (@t1259)) % 68.32/68.57 (step @p1580 :rule cnf_or_pos :args (@t1292)) % 68.32/68.57 (step @p1581 :rule reordering :premises (@p1580) :args ((or @t1178 @t1291 (not @t1292)))) % 68.32/68.57 (step @p1582 :rule chain_m_resolution :premises (@p1581 @p1159 @p1579) :args (@t1291 @t1172 (@list @t1150 @t1292))) % 68.32/68.57 (step @p1583 :rule trans :premises (@p1582 @p1570)) % 68.32/68.57 (step @p1584 :rule cong :premises (@p1285 @p1583 @p1234) :args (@t1196)) % 68.32/68.57 (step @p1585 :rule trans :premises (@p1584 @p1555)) % 68.32/68.57 (step @p1586 :rule cong :premises (@p1300 @p1294) :args (@t1293)) % 68.32/68.57 (step @p1587 :rule cong :premises (@p1586 @p1585) :args ((tptp.hAPP @t1293 @t1196))) % 68.32/68.57 (step @p1588 :rule refl :args (@t1196)) % 68.32/68.57 (step @p1589 :rule symm :premises (@p1586)) % 68.32/68.57 (step @p1590 :rule cong :premises (@p1589 @p1588) :args (@t1197)) % 68.32/68.57 (step @p1591 :rule symm :premises (@p1293)) % 68.32/68.57 (step @p1592 :rule symm :premises (@p1286)) % 68.32/68.57 (step @p1593 :rule trans :premises (@p1592 @p1591 @p1590 @p1587)) % 68.32/68.57 (step @p1594 :rule cong :premises (@p1285 @p1593 @p1491) :args (@t18)) % 68.32/68.57 (step @p1595 :rule trans :premises (@p1594 @p1225)) % 68.32/68.57 (step @p1596 :rule cong :premises (@p1285 @p1595) :args (@t19)) % 68.32/68.57 (step @p1597 :rule trans :premises (@p1596 @p1217)) % 68.32/68.57 (step @p1598 :rule symm :premises (@p4)) % 68.32/68.57 (step @p1599 :rule refl :args (@t32)) % 68.32/68.57 (step @p1600 :rule cong :premises (@p1599 @p1598) :args (@t611)) % 68.32/68.57 (step @p1601 :rule cong :premises (@p1600 @p4) :args (@t1294)) % 68.32/68.57 (step @p1602 :rule bool-impl-elim :args (@t125 @t1295)) % 68.32/68.57 (step @p1603 :rule cong :premises (@p1602) :args ((forall @t129 (=> @t125 @t1295)))) % 68.32/68.57 (step @p1604 :rule eq-symm :args (@t680 @t50)) % 68.32/68.57 (step @p1605 :rule refl :args (@t125)) % 68.32/68.57 (step @p1606 :rule cong :premises (@p1605 @p1604) :args (@t682)) % 68.32/68.57 (step @p1607 :rule cong :premises (@p1606) :args (@t683)) % 68.32/68.57 (step @p1608 :rule trans :premises (@p1607 @p1603)) % 68.32/68.57 (step @p1609 :rule eq_resolve :premises (@p421 @p1608)) % 68.32/68.57 (step @p1610 :rule instantiate :premises (@p1609) :args ((@list @t14 tptp.tc_RealDef_Oreal))) % 68.32/68.57 (step @p1611 :rule cnf_or_pos :args (@t1298)) % 68.32/68.57 (step @p1612 :rule reordering :premises (@p1611) :args ((or @t1297 @t1296 (not @t1298)))) % 68.32/68.57 (step @p1613 :rule chain_m_resolution :premises (@p1612 @p1126 @p1610) :args (@t1296 @t1172 (@list @t1142 @t1298))) % 68.32/68.57 (step @p1614 :rule cong :premises (@p4) :args (@t1299)) % 68.32/68.57 (step @p1615 :rule trans :premises (@p1614 @p754)) % 68.32/68.57 (step @p1616 :rule refl :args (tptp.tc_Nat_Onat)) % 68.32/68.57 (step @p1617 :rule cong :premises (@p1616 @p1615) :args ((tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t1299))) % 68.32/68.57 (step @p1618 :rule trans :premises (@p1617 @p745 @p1598 @p1613 @p1601)) % 68.32/68.57 (step @p1619 :rule symm :premises (@p1617)) % 68.32/68.57 (step @p1620 :rule symm :premises (@p745)) % 68.32/68.57 (step @p1621 :rule trans :premises (@p1620 @p1619)) % 68.32/68.57 (step @p1622 :rule trans :premises (@p1621 @p1618)) % 68.32/68.57 (step @p1623 :rule refl :args (tptp.tc_RealDef_Oreal)) % 68.32/68.57 (step @p1624 :rule cong :premises (@p1623 @p1622 @p1597) :args (@t1300)) % 68.32/68.57 (step @p1625 :rule aci_norm :args ((= (or @t1158 (or @t796 @t355)) (or @t1158 @t796 @t355)))) % 68.32/68.57 (step @p1626 :rule bool-impl-elim :args (@t760 @t355)) % 68.32/68.57 (step @p1627 :rule nary_cong :premises (@p1187 @p1626) :args ((or @t1158 @t794))) % 68.32/68.57 (step @p1628 :rule trans :premises (@p1627 @p1625)) % 68.32/68.57 (step @p1629 :rule bool-impl-elim :args (@t761 @t794)) % 68.32/68.57 (step @p1630 :rule trans :premises (@p1629 @p1628)) % 68.32/68.57 (step @p1631 :rule cong :premises (@p1630) :args (@t795)) % 68.32/68.57 (step @p1632 :rule eq_resolve :premises (@p561 @p1631)) % 68.32/68.57 (step @p1633 :rule instantiate :premises (@p1632) :args ((@list @t19 @t10 tptp.tc_RealDef_Oreal))) % 68.32/68.57 (step @p1634 :rule cnf_or_pos :args (@t1303)) % 68.32/68.57 (step @p1635 :rule reordering :premises (@p1634) :args ((or @t1301 @t1160 @t1302 (not @t1303)))) % 68.32/68.57 (step @p1636 :rule chain_m_resolution :premises (@p1635 @p5 @p1125 @p1633) :args (@t1302 (@list false false false) (@list @t20 @t1141 @t1303))) % 68.32/68.57 (step @p1637 :rule false_intro :premises (@p1636)) % 68.32/68.57 (step @p1638 :rule symm :premises (@p1637)) % 68.32/68.57 (step @p1639 :rule trans :premises (@p1638 @p1624 @p1198)) % 68.32/68.57 (step @p1640 false :rule eq_resolve :premises (@p1639 @p1180)) % 68.32/68.57 ) % 68.32/68.57 % SZS output end Proof % 68.32/68.57 % cvc5 exiting %------------------------------------------------------------------------------