%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG342-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:05:48 AM UTC 2026 % Result : Unsatisfiable 0.48s 0.96s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG342-1 : TPTP v9.2.1. Released v4.1.0. % 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 : Wed Jun 3 02:06:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.36/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.96 % SZS status Unsatisfiable % 0.48/0.96 % SZS output start Proof % 0.48/0.98 ( % 0.48/0.98 (declare-sort $$unsorted 0) % 0.48/0.98 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.v_c____ $$unsorted) % 0.48/0.98 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_HOL_Ozero (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_cs____ $$unsorted) % 0.48/0.98 (declare-const tptp.c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_sko__local__XpCons__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Osgn__if (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_sko__local__XpCons__Xhyps__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.48/0.98 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_r $$unsorted) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.48/0.98 (declare-const tptp.c_RealDef_Oreal__of__preal (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.v_m____ $$unsorted) % 0.48/0.98 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.c_HOL_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.48/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.98 (define @t1 () (@var "T_a" $$unsorted)) % 0.48/0.98 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.48/0.98 (define @t3 () (@var "V_a" $$unsorted)) % 0.48/0.98 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.48/0.98 (define @t5 () (not @t4)) % 0.48/0.98 (define @t6 () (tptp.c_HOL_Osgn__class_Osgn @t3 @t1)) % 0.48/0.98 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.48/0.98 (define @t8 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.48/0.98 (define @t9 () (@list @t1 @t3)) % 0.48/0.98 (define @t10 () (@var "V_b" $$unsorted)) % 0.48/0.98 (define @t11 () (tptp.c_HOL_Oord__class_Oless @t10 @t2 @t1)) % 0.48/0.98 (define @t12 () (not @t11)) % 0.48/0.98 (define @t13 () (tptp.c_HOL_Oinverse__class_Odivide @t3 @t10 @t1)) % 0.48/0.98 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t2 @t13 @t1)) % 0.48/0.98 (define @t15 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 0.48/0.98 (define @t16 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 0.48/0.98 (define @t17 () (@list @t1 @t3 @t10)) % 0.48/0.98 (define @t18 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.48/0.98 (define @t19 () (not @t18)) % 0.48/0.98 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t2 @t10 @t1)) % 0.48/0.98 (define @t21 () (not @t20)) % 0.48/0.98 (define @t22 () (@var "V_x" $$unsorted)) % 0.48/0.98 (define @t23 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t22 @t1))) % 0.48/0.98 (define @t24 () (@var "V_y" $$unsorted)) % 0.48/0.98 (define @t25 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t24 @t1))) % 0.48/0.98 (define @t26 () (tptp.c_HOL_Oinverse__class_Odivide @t22 @t24 @t1)) % 0.48/0.98 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t2 @t26 @t1)) % 0.48/0.98 (define @t28 () (@list @t1 @t22 @t24)) % 0.48/0.98 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t22 @t2 @t1)) % 0.48/0.98 (define @t30 () (not @t29)) % 0.48/0.98 (define @t31 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t2 @t1))) % 0.48/0.98 (define @t32 () (@var "V_c" $$unsorted)) % 0.48/0.98 (define @t33 () (tptp.c_HOL_Otimes__class_Otimes @t10 @t32 @t1)) % 0.48/0.98 (define @t34 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t32 @t1)) % 0.48/0.98 (define @t35 () (tptp.c_HOL_Oord__class_Oless @t34 @t33 @t1)) % 0.48/0.98 (define @t36 () (not @t35)) % 0.48/0.98 (define @t37 () (tptp.c_HOL_Oord__class_Oless @t2 @t32 @t1)) % 0.48/0.98 (define @t38 () (tptp.c_HOL_Oord__class_Oless @t32 @t2 @t1)) % 0.48/0.98 (define @t39 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.48/0.98 (define @t40 () (@list @t1 @t32 @t3 @t10)) % 0.48/0.98 (define @t41 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t10 @t1)) % 0.48/0.98 (define @t42 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t3 @t1)) % 0.48/0.98 (define @t43 () (tptp.c_HOL_Oord__class_Oless @t42 @t41 @t1)) % 0.48/0.98 (define @t44 () (not @t43)) % 0.48/0.98 (define @t45 () (tptp.c_HOL_Oinverse__class_Odivide @t10 @t32 @t1)) % 0.48/0.98 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t3 @t45 @t1)) % 0.48/0.98 (define @t47 () (@list @t1 @t3 @t10 @t32)) % 0.48/0.98 (define @t48 () (not @t46)) % 0.48/0.98 (define @t49 () (@list @t1 @t3 @t32 @t10)) % 0.48/0.98 (define @t50 () (tptp.c_HOL_Oord__class_Oless @t45 @t3 @t1)) % 0.48/0.98 (define @t51 () (@list @t1 @t10 @t32 @t3)) % 0.48/0.98 (define @t52 () (not @t50)) % 0.48/0.98 (define @t53 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 0.48/0.98 (define @t54 () (tptp.c_HOL_Oord__class_Oless @t2 @t53 @t1)) % 0.48/0.98 (define @t55 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.48/0.98 (define @t56 () (not @t14)) % 0.48/0.98 (define @t57 () (@list @t1 @t10 @t3)) % 0.48/0.98 (define @t58 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t32 @t1))) % 0.48/0.98 (define @t59 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t32 @t1)) % 0.48/0.98 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t10 @t59 @t1)) % 0.48/0.98 (define @t61 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.48/0.98 (define @t62 () (@list @t1 @t10 @t3 @t32)) % 0.48/0.98 (define @t63 () (tptp.c_HOL_Otimes__class_Otimes @t10 @t3 @t1)) % 0.48/0.98 (define @t64 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.48/0.98 (define @t65 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t10 @t1)) % 0.48/0.98 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t65 @t2 @t1)) % 0.48/0.98 (define @t67 () (tptp.c_HOL_Oord__class_Oless @t2 @t65 @t1)) % 0.48/0.98 (define @t68 () (not @t67)) % 0.48/0.98 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t53 @t2 @t1)) % 0.48/0.98 (define @t70 () (not @t69)) % 0.48/0.98 (define @t71 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.48/0.98 (define @t72 () (@var "V_n" $$unsorted)) % 0.48/0.98 (define @t73 () (tptp.c_Power_Opower__class_Opower @t22 @t72 @t1)) % 0.48/0.98 (define @t74 () (@list @t1 @t22 @t72)) % 0.48/0.98 (define @t75 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t10 @t1)) % 0.48/0.98 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t75 @t2 @t1)) % 0.48/0.98 (define @t77 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.48/0.98 (define @t78 () (tptp.c_HOL_Oord__class_Oless @t13 @t2 @t1)) % 0.48/0.98 (define @t79 () (not @t78)) % 0.48/0.98 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t3 @t10 @t1)) % 0.48/0.98 (define @t81 () (not @t80)) % 0.48/0.98 (define @t82 () (not @t37)) % 0.48/0.98 (define @t83 () (tptp.c_HOL_Oinverse__class_Odivide @t3 @t32 @t1)) % 0.48/0.98 (define @t84 () (tptp.c_HOL_Oord__class_Oless @t83 @t45 @t1)) % 0.48/0.98 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t10 @t3 @t1)) % 0.48/0.98 (define @t86 () (not @t85)) % 0.48/0.98 (define @t87 () (not @t38)) % 0.48/0.98 (define @t88 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 0.48/0.98 (define @t89 () (tptp.c_Power_Opower__class_Opower @t3 @t72 @t1)) % 0.48/0.98 (define @t90 () (@list @t1 @t3 @t72)) % 0.48/0.98 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t2 @t75 @t1)) % 0.48/0.98 (define @t92 () (tptp.c_HOL_Oord__class_Oless @t26 @t2 @t1)) % 0.48/0.98 (define @t93 () (tptp.c_lessequals @t10 @t3 @t1)) % 0.48/0.98 (define @t94 () (not @t93)) % 0.48/0.98 (define @t95 () (not (tptp.c_lessequals @t2 @t32 @t1))) % 0.48/0.98 (define @t96 () (tptp.c_HOL_Oinverse__class_Odivide @t32 @t10 @t1)) % 0.48/0.98 (define @t97 () (tptp.c_HOL_Oinverse__class_Odivide @t32 @t3 @t1)) % 0.48/0.98 (define @t98 () (tptp.c_lessequals @t97 @t96 @t1)) % 0.48/0.98 (define @t99 () (tptp.c_lessequals @t3 @t10 @t1)) % 0.48/0.98 (define @t100 () (not @t99)) % 0.48/0.98 (define @t101 () (not (tptp.c_lessequals @t32 @t2 @t1))) % 0.48/0.98 (define @t102 () (tptp.c_lessequals @t45 @t3 @t1)) % 0.48/0.98 (define @t103 () (not @t102)) % 0.48/0.98 (define @t104 () (tptp.c_lessequals @t10 @t34 @t1)) % 0.48/0.98 (define @t105 () (not @t104)) % 0.48/0.98 (define @t106 () (tptp.c_lessequals @t3 @t45 @t1)) % 0.48/0.98 (define @t107 () (not @t106)) % 0.48/0.98 (define @t108 () (tptp.c_lessequals @t34 @t10 @t1)) % 0.48/0.98 (define @t109 () (not @t108)) % 0.48/0.98 (define @t110 () (@var "V_z" $$unsorted)) % 0.48/0.98 (define @t111 () (tptp.c_HOL_Otimes__class_Otimes @t110 @t24 @t1)) % 0.48/0.98 (define @t112 () (@list @t1 @t22 @t24 @t110)) % 0.48/0.98 (define @t113 () (@list @t1 @t110 @t22 @t24)) % 0.48/0.98 (define @t114 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.48/0.98 (define @t115 () (not @t114)) % 0.48/0.98 (define @t116 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.48/0.98 (define @t117 () (not @t116)) % 0.48/0.98 (define @t118 () (@var "V_p" $$unsorted)) % 0.48/0.98 (define @t119 () (tptp.c_Polynomial_OpCons @t3 @t118 @t1)) % 0.48/0.98 (define @t120 () (tptp.c_Polynomial_Opos__poly @t118 @t1)) % 0.48/0.98 (define @t121 () (tptp.c_Polynomial_Opos__poly @t119 @t1)) % 0.48/0.98 (define @t122 () (@list @t1 @t3 @t118)) % 0.48/0.98 (define @t123 () (@var "V_r" $$unsorted)) % 0.48/0.98 (define @t124 () (tptp.c_RealVector_Onorm__class_Onorm @t22 @t1)) % 0.48/0.98 (define @t125 () (@var "V_s" $$unsorted)) % 0.48/0.98 (define @t126 () (tptp.c_RealVector_Onorm__class_Onorm @t24 @t1)) % 0.48/0.98 (define @t127 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t24 @t1)) % 0.48/0.98 (define @t128 () (tptp.c_RealVector_Onorm__class_Onorm @t127 @t1)) % 0.48/0.98 (define @t129 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.48/0.98 (define @t130 () (tptp.c_HOL_Otimes__class_Otimes @t124 @t126 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t131 () (= @t3 @t10)) % 0.48/0.98 (define @t132 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t133 () (= @t32 @t132)) % 0.48/0.98 (define @t134 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t10 @t1)) % 0.48/0.98 (define @t135 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t3 @t1)) % 0.48/0.98 (define @t136 () (tptp.c_lessequals @t135 @t134 @t1)) % 0.48/0.98 (define @t137 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.48/0.98 (define @t138 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t32 @t1)) % 0.48/0.98 (define @t139 () (tptp.c_lessequals @t59 @t138 @t1)) % 0.48/0.98 (define @t140 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.48/0.98 (define @t141 () (@var "V_d" $$unsorted)) % 0.48/0.98 (define @t142 () (not (tptp.c_lessequals @t32 @t141 @t1))) % 0.48/0.98 (define @t143 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t141 @t1)) % 0.48/0.98 (define @t144 () (@list @t1 @t3 @t32 @t10 @t141)) % 0.48/0.98 (define @t145 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t141 @t1))) % 0.48/0.98 (define @t146 () (tptp.c_HOL_Oord__class_Oless @t59 @t143 @t1)) % 0.48/0.98 (define @t147 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.48/0.98 (define @t148 () (tptp.c_HOL_Oord__class_Oless @t135 @t134 @t1)) % 0.48/0.98 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t59 @t138 @t1)) % 0.48/0.98 (define @t150 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t22 @t1)) % 0.48/0.98 (define @t151 () (tptp.c_HOL_Oplus__class_Oplus @t150 (tptp.c_HOL_Otimes__class_Otimes @t24 @t24 @t1) @t1)) % 0.48/0.98 (define @t152 () (not (tptp.c_lessequals @t151 @t2 @t1))) % 0.48/0.98 (define @t153 () (= @t22 @t2)) % 0.48/0.98 (define @t154 () (= @t24 @t2)) % 0.48/0.98 (define @t155 () (@list @t1 @t24 @t22)) % 0.48/0.98 (define @t156 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 0.48/0.98 (define @t157 () (tptp.c_HOL_Oplus__class_Oplus @t156 @t156 @t1)) % 0.48/0.98 (define @t158 () (@list @t1)) % 0.48/0.98 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t2 @t151 @t1)) % 0.48/0.98 (define @t160 () (tptp.c_HOL_Oord__class_Oless @t10 @t34 @t1)) % 0.48/0.98 (define @t161 () (not @t160)) % 0.48/0.98 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t34 @t10 @t1)) % 0.48/0.98 (define @t163 () (not @t162)) % 0.48/0.98 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t97 @t96 @t1)) % 0.48/0.98 (define @t165 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1) @t3)) % 0.48/0.98 (define @t166 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.48/0.98 (define @t167 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1) @t3)) % 0.48/0.98 (define @t168 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.48/0.98 (define @t169 () (@list @t1 @t22)) % 0.48/0.98 (define @t170 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.48/0.98 (define @t171 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.48/0.98 (define @t172 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.48/0.98 (define @t173 () (tptp.c_HOL_Osgn__class_Osgn @t22 @t1)) % 0.48/0.98 (define @t174 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 0.48/0.98 (define @t175 () (= @t3 @t2)) % 0.48/0.98 (define @t176 () (not (tptp.class_RealVector_Oreal__normed__field @t1))) % 0.48/0.98 (define @t177 () (@list @t1 @t24)) % 0.48/0.98 (define @t178 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 0.48/0.98 (define @t179 () (tptp.c_HOL_Oinverse__class_Odivide @t10 @t2 @t1)) % 0.48/0.98 (define @t180 () (@list @t1 @t10)) % 0.48/0.98 (define @t181 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 0.48/0.98 (define @t182 () (tptp.c_lessequals @t10 @t2 @t1)) % 0.48/0.98 (define @t183 () (not @t182)) % 0.48/0.98 (define @t184 () (tptp.c_lessequals @t53 @t2 @t1)) % 0.48/0.98 (define @t185 () (tptp.c_lessequals @t2 @t13 @t1)) % 0.48/0.98 (define @t186 () (tptp.c_lessequals @t2 @t10 @t1)) % 0.48/0.98 (define @t187 () (not @t186)) % 0.48/0.98 (define @t188 () (tptp.c_lessequals @t13 @t2 @t1)) % 0.48/0.98 (define @t189 () (not @t188)) % 0.48/0.98 (define @t190 () (tptp.c_lessequals @t2 @t89 @t1)) % 0.48/0.98 (define @t191 () (tptp.c_lessequals @t2 @t53 @t1)) % 0.48/0.98 (define @t192 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.48/0.98 (define @t193 () (tptp.c_lessequals @t65 @t2 @t1)) % 0.48/0.98 (define @t194 () (tptp.c_HOL_Otimes__class_Otimes @t10 @t141 @t1)) % 0.48/0.98 (define @t195 () (tptp.c_lessequals @t34 @t194 @t1)) % 0.48/0.98 (define @t196 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.48/0.98 (define @t197 () (tptp.c_lessequals @t2 @t65 @t1)) % 0.48/0.98 (define @t198 () (not @t197)) % 0.48/0.98 (define @t199 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.48/0.98 (define @t200 () (tptp.c_lessequals @t34 @t33 @t1)) % 0.48/0.98 (define @t201 () (tptp.c_lessequals @t42 @t41 @t1)) % 0.48/0.98 (define @t202 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.48/0.98 (define @t203 () (not @t193)) % 0.48/0.98 (define @t204 () (not (tptp.c_lessequals @t2 @t22 @t1))) % 0.48/0.98 (define @t205 () (not (tptp.c_lessequals @t2 @t24 @t1))) % 0.48/0.98 (define @t206 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t24 @t1)) % 0.48/0.98 (define @t207 () (not (= @t206 @t2))) % 0.48/0.98 (define @t208 () (tptp.c_lessequals @t10 @t59 @t1)) % 0.48/0.98 (define @t209 () (not (tptp.c_lessequals @t10 @t32 @t1))) % 0.48/0.98 (define @t210 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 0.48/0.98 (define @t211 () (not @t185)) % 0.48/0.98 (define @t212 () (tptp.c_Power_Opower__class_Opower @t10 @t72 @t1)) % 0.48/0.98 (define @t213 () (tptp.c_lessequals @t22 @t2 @t1)) % 0.48/0.98 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t132 @t24 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t24 (tptp.c_RealDef_Oreal__of__preal @t22) tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t216 () (@list @t24 @t22)) % 0.48/0.98 (define @t217 () (@list @t22)) % 0.48/0.98 (define @t218 () (@var "V_m" $$unsorted)) % 0.48/0.98 (define @t219 () (@var "V_xa" $$unsorted)) % 0.48/0.98 (define @t220 () (@list @t219)) % 0.48/0.98 (define @t221 () (not (tptp.c_HOL_Oord__class_Oless @t132 @t22 tptp.tc_RealDef_Oreal))) % 0.48/0.98 (define @t222 () (not @t214)) % 0.48/0.98 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t22 @t24 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t224 () (not @t223)) % 0.48/0.98 (define @t225 () (tptp.c_Transcendental_Oln @t24)) % 0.48/0.98 (define @t226 () (tptp.c_Transcendental_Oln @t22)) % 0.48/0.98 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t226 @t225 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t228 () (@list @t22 @t24)) % 0.48/0.98 (define @t229 () (= @t22 @t24)) % 0.48/0.98 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t132 @t110 tptp.tc_RealDef_Oreal))) % 0.48/0.98 (define @t231 () (tptp.c_HOL_Otimes__class_Otimes @t110 @t24 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t232 () (tptp.c_HOL_Otimes__class_Otimes @t110 @t22 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t233 () (@list @t110 @t22 @t24)) % 0.48/0.98 (define @t234 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t110 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t110 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t236 () (tptp.c_HOL_Oord__class_Oless @t235 @t234 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t237 () (@list @t22 @t110 @t24)) % 0.48/0.98 (define @t238 () (@list @t22 @t24 @t110)) % 0.48/0.98 (define @t239 () (tptp.c_HOL_Oord__class_Oless @t34 @t194 @t1)) % 0.48/0.98 (define @t240 () (tptp.c_lessequals @t22 @t24 @t1)) % 0.48/0.98 (define @t241 () (not @t240)) % 0.48/0.98 (define @t242 () (@var "V_w" $$unsorted)) % 0.48/0.98 (define @t243 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t242 @t1))) % 0.48/0.98 (define @t244 () (not (tptp.c_lessequals @t242 @t110 @t1))) % 0.48/0.98 (define @t245 () (tptp.c_HOL_Oinverse__class_Odivide @t24 @t242 @t1)) % 0.48/0.98 (define @t246 () (tptp.c_HOL_Oinverse__class_Odivide @t22 @t110 @t1)) % 0.48/0.98 (define @t247 () (@list @t1 @t22 @t110 @t24 @t242)) % 0.48/0.98 (define @t248 () (not @t213)) % 0.48/0.98 (define @t249 () (tptp.c_lessequals @t2 @t26 @t1)) % 0.48/0.98 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t22 @t24 @t1)) % 0.48/0.98 (define @t251 () (not @t250)) % 0.48/0.98 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t246 @t245 @t1)) % 0.48/0.98 (define @t253 () (tptp.c_lessequals @t26 @t2 @t1)) % 0.48/0.98 (define @t254 () (= @t10 @t2)) % 0.48/0.98 (define @t255 () (not (= @t65 @t2))) % 0.48/0.98 (define @t256 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.48/0.98 (define @t257 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.48/0.98 (define @t258 () (not (= @t89 @t2))) % 0.48/0.98 (define @t259 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.48/0.98 (define @t260 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1) @t2)) % 0.48/0.98 (define @t261 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1) @t2)) % 0.48/0.98 (define @t262 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t10 @t1) @t2)) % 0.48/0.98 (define @t263 () (tptp.c_HOL_Osgn__class_Osgn @t2 @t1)) % 0.48/0.98 (define @t264 () (= @t263 @t2)) % 0.48/0.98 (define @t265 () (@var "V_ya" $$unsorted)) % 0.48/0.98 (define @t266 () (@list @t1 @t22 @t24 @t265)) % 0.48/0.98 (define @t267 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t110 @t1)) % 0.48/0.98 (define @t268 () (= @t32 @t2)) % 0.48/0.98 (define @t269 () (@var "V_e" $$unsorted)) % 0.48/0.98 (define @t270 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t138 @t1)) % 0.48/0.98 (define @t271 () (tptp.c_HOL_Oplus__class_Oplus @t75 @t32 @t1)) % 0.48/0.98 (define @t272 () (= @t271 @t270)) % 0.48/0.98 (define @t273 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t141 @t1)) % 0.48/0.98 (define @t274 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t273 @t1)) % 0.48/0.98 (define @t275 () (@list @t1 @t3 @t32 @t141)) % 0.48/0.98 (define @t276 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t110 @t1)) % 0.48/0.98 (define @t277 () (tptp.c_HOL_Oplus__class_Oplus @t24 @t110 @t1)) % 0.48/0.98 (define @t278 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t277 @t1)) % 0.48/0.98 (define @t279 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.48/0.98 (define @t280 () (@list @t110 @t242)) % 0.48/0.98 (define @t281 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t32 @t1)) % 0.48/0.98 (define @t282 () (tptp.c_HOL_Otimes__class_Otimes @t22 @t141 @t1)) % 0.48/0.98 (define @t283 () (tptp.c_HOL_Oplus__class_Oplus @t127 @t267 @t1)) % 0.48/0.98 (define @t284 () (@var "V_ry" $$unsorted)) % 0.48/0.98 (define @t285 () (@var "V_ly" $$unsorted)) % 0.48/0.98 (define @t286 () (@var "V_rx" $$unsorted)) % 0.48/0.98 (define @t287 () (@var "V_lx" $$unsorted)) % 0.48/0.98 (define @t288 () (tptp.c_HOL_Otimes__class_Otimes @t287 @t286 @t1)) % 0.48/0.98 (define @t289 () (tptp.c_HOL_Otimes__class_Otimes @t286 @t284 @t1)) % 0.48/0.98 (define @t290 () (tptp.c_HOL_Otimes__class_Otimes @t287 @t285 @t1)) % 0.48/0.98 (define @t291 () (tptp.c_HOL_Otimes__class_Otimes @t290 @t289 @t1)) % 0.48/0.98 (define @t292 () (@list @t1 @t287 @t285 @t286 @t284)) % 0.48/0.98 (define @t293 () (tptp.c_HOL_Oinverse__class_Odivide @t34 @t32 @t1)) % 0.48/0.98 (define @t294 () (= @t293 @t3)) % 0.48/0.98 (define @t295 () (@list @t1 @t3 @t32)) % 0.48/0.98 (define @t296 () (= @t3 @t293)) % 0.48/0.98 (define @t297 () (@list @t1 @t32 @t3)) % 0.48/0.98 (define @t298 () (= (tptp.c_Power_Opower__class_Opower @t13 @t72 @t1) (tptp.c_HOL_Oinverse__class_Odivide @t89 @t212 @t1))) % 0.48/0.98 (define @t299 () (@list @t1 @t3 @t10 @t72)) % 0.48/0.98 (define @t300 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.48/0.98 (define @t301 () (= @t32 @t141)) % 0.48/0.98 (define @t302 () (not (= @t151 @t2))) % 0.48/0.98 (define @t303 () (@var "V_q" $$unsorted)) % 0.48/0.98 (define @t304 () (tptp.c_HOL_Otimes__class_Otimes @t290 @t286 @t1)) % 0.48/0.98 (define @t305 () (@list @t1 @t287 @t285 @t286)) % 0.48/0.98 (define @t306 () (tptp.c_HOL_Otimes__class_Otimes @t287 @t289 @t1)) % 0.48/0.98 (define @t307 () (@list @t1 @t287 @t286 @t284)) % 0.48/0.98 (define @t308 () (@var "V_z3" $$unsorted)) % 0.48/0.98 (define @t309 () (@var "V_z2" $$unsorted)) % 0.48/0.98 (define @t310 () (@var "V_z1" $$unsorted)) % 0.48/0.98 (define @t311 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t110 @t1)) % 0.48/0.98 (define @t312 () (= (tptp.c_HOL_Otimes__class_Otimes @t75 @t32 @t1) (tptp.c_HOL_Oplus__class_Oplus @t34 @t33 @t1))) % 0.48/0.98 (define @t313 () (@var "V_b_H" $$unsorted)) % 0.48/0.98 (define @t314 () (@var "V_a_H" $$unsorted)) % 0.48/0.98 (define @t315 () (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus @t22 @t111 @t1) @t24 @t1)) % 0.48/0.98 (define @t316 () (= @t24 @t110)) % 0.48/0.98 (define @t317 () (= @t10 @t32)) % 0.48/0.98 (define @t318 () (not (= @t75 @t59))) % 0.48/0.98 (define @t319 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.48/0.98 (define @t320 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t3 @t1)) % 0.48/0.98 (define @t321 () (@var "V_u" $$unsorted)) % 0.48/0.98 (define @t322 () (not (tptp.class_RealVector_Oreal__normed__div__algebra @t1))) % 0.48/0.98 (define @t323 () (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes @t2 @t32 @t1) @t32 @t1)) % 0.48/0.98 (define @t324 () (@list @t1 @t32)) % 0.48/0.98 (define @t325 () (tptp.c_HOL_Otimes__class_Otimes @t242 @t24 @t1)) % 0.48/0.98 (define @t326 () (= @t110 @t2)) % 0.48/0.98 (define @t327 () (tptp.c_HOL_Oinverse__class_Odivide @t242 @t110 @t1)) % 0.48/0.98 (define @t328 () (@list @t1 @t22 @t24 @t242 @t110)) % 0.48/0.98 (define @t329 () (tptp.c_HOL_Otimes__class_Otimes @t45 @t32 @t1)) % 0.48/0.98 (define @t330 () (@list @t1 @t10 @t32)) % 0.48/0.98 (define @t331 () (= @t267 @t325)) % 0.48/0.98 (define @t332 () (= @t26 @t327)) % 0.48/0.98 (define @t333 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.48/0.98 (define @t334 () (not @t201)) % 0.48/0.98 (define @t335 () (tptp.c_lessequals @t22 @t24 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t336 () (not @t335)) % 0.48/0.98 (define @t337 () (tptp.c_lessequals @t226 @t225 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t338 () (not (tptp.c_lessequals @t132 @t22 tptp.tc_RealDef_Oreal))) % 0.48/0.98 (define @t339 () (tptp.c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1 @t22 @t24)) % 0.48/0.98 (define @t340 () (tptp.c_lessequals @t232 @t231 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t341 () (tptp.c_lessequals @t235 @t234 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t342 () (tptp.v_sko__local__XpCons__Xhyps__1 tptp.v_cs____ tptp.v_r)) % 0.48/0.98 (define @t343 () (tptp.v_sko__local__XpCons__1 tptp.v_cs____ tptp.v_r)) % 0.48/0.98 (define @t344 () (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t110 tptp.tc_Complex_Ocomplex) tptp.v_r tptp.tc_RealDef_Oreal))) % 0.48/0.98 (define @t345 () (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly tptp.v_cs____ @t110 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (define @t346 () (@list @t110)) % 0.48/0.98 (define @t347 () (not (tptp.class_Orderings_Oorder @t1))) % 0.48/0.98 (define @t348 () (tptp.c_HOL_Oord__class_Oless @t24 @t22 @t1)) % 0.48/0.98 (define @t349 () (not @t348)) % 0.48/0.98 (define @t350 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.48/0.98 (define @t351 () (tptp.c_lessequals @t110 @t242 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t352 () (tptp.c_lessequals @t242 @t110 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t353 () (tptp.c_lessequals @t24 @t22 @t1)) % 0.48/0.98 (define @t354 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.48/0.98 (define @t355 () (not @t353)) % 0.48/0.98 (define @t356 () (not (tptp.c_lessequals @t110 @t24 @t1))) % 0.48/0.98 (define @t357 () (tptp.c_HOL_Oord__class_Oless @t110 @t22 @t1)) % 0.48/0.98 (define @t358 () (not (tptp.c_HOL_Oord__class_Oless @t110 @t24 @t1))) % 0.48/0.98 (define @t359 () (not (tptp.c_lessequals @t24 @t110 @t1))) % 0.48/0.98 (define @t360 () (@list @t1 @t22 @t110 @t24)) % 0.48/0.98 (define @t361 () (tptp.c_HOL_Oord__class_Oless @t22 @t110 @t1)) % 0.48/0.98 (define @t362 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t110 @t1))) % 0.48/0.98 (define @t363 () (@var "V_j" $$unsorted)) % 0.48/0.98 (define @t364 () (@var "V_i" $$unsorted)) % 0.48/0.98 (define @t365 () (@var "V_k" $$unsorted)) % 0.48/0.98 (define @t366 () (tptp.c_lessequals @t22 @t22 @t1)) % 0.48/0.98 (define @t367 () (tptp.c_HOL_Oord__class_Oless @t22 @t22 @t1)) % 0.48/0.98 (define @t368 () (not @t367)) % 0.48/0.98 (define @t369 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 0.48/0.98 (define @t370 () (not (= @t119 (tptp.c_Polynomial_OpCons @t10 @t303 @t1)))) % 0.48/0.98 (define @t371 () (not (tptp.class_HOL_Ozero @t1))) % 0.48/0.98 (define @t372 () (@list @t1 @t3 @t118 @t10 @t303)) % 0.48/0.98 (define @t373 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal) (tptp.c_RealVector_Onorm__class_Onorm tptp.v_c____ tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Otimes__class_Otimes tptp.v_r tptp.v_m____ tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t374 () (tptp.c_Polynomial_OpCons tptp.v_c____ tptp.v_cs____ tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (define @t375 () (forall @t346 (or (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly @t374 @t110 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t373 tptp.tc_RealDef_Oreal) @t344))) % 0.48/0.98 (define @t376 () (tptp.c_HOL_Oord__class_Oless @t132 @t373 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t377 () (not (tptp.c_HOL_Oord__class_Oless @t132 @t219 tptp.tc_RealDef_Oreal))) % 0.48/0.98 (define @t378 () (tptp.v_x @t219)) % 0.48/0.98 (define @t379 () (@var "T_1" $$unsorted)) % 0.48/0.98 (define @t380 () (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t379))) % 0.48/0.98 (define @t381 () (tptp.tc_Polynomial_Opoly @t379)) % 0.48/0.98 (define @t382 () (@list @t379)) % 0.48/0.98 (define @t383 () (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t379))) % 0.48/0.98 (define @t384 () (not (tptp.class_Ring__and__Field_Oordered__idom @t379))) % 0.48/0.98 (define @t385 () (not (tptp.class_Ring__and__Field_Oidom @t379))) % 0.48/0.98 (define @t386 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t379))) % 0.48/0.98 (define @t387 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t379))) % 0.48/0.98 (define @t388 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t379))) % 0.48/0.98 (define @t389 () (@list @t373)) % 0.48/0.98 (define @t390 () (not @t376)) % 0.48/0.98 (define @t391 () (tptp.v_x @t373)) % 0.48/0.98 (define @t392 () (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t391 tptp.tc_Complex_Ocomplex) tptp.v_r tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t393 () (or @t392 @t390)) % 0.48/0.98 (define @t394 () (@list false false)) % 0.48/0.98 (define @t395 () (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly @t374 @t391 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t373 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (define @t396 () (not @t395)) % 0.48/0.98 (define @t397 () (or @t396 @t390)) % 0.48/0.98 (define @t398 () (not @t392)) % 0.48/0.98 (define @t399 () (or @t395 @t398)) % 0.48/0.98 (define @t400 () (not @t399)) % 0.48/0.98 (define @t401 () (@list true false)) % 0.48/0.98 (assume @p1 (forall @t9 (or @t8 @t7 @t5))) % 0.48/0.98 (assume @p2 (forall @t9 (or @t8 @t4 (not @t7)))) % 0.48/0.98 (assume @p3 (forall @t17 (or @t16 @t15 @t14 @t12 @t5))) % 0.48/0.98 (assume @p4 (forall @t17 (or @t16 @t15 @t14 @t21 @t19))) % 0.48/0.98 (assume @p5 (forall @t28 (or @t16 @t27 @t25 @t23))) % 0.48/0.98 (assume @p6 (forall @t28 (or @t16 @t27 @t31 @t30))) % 0.48/0.98 (assume @p7 (forall @t40 (or @t39 @t38 @t37 @t36))) % 0.48/0.98 (assume @p8 (forall @t40 (or @t39 @t38 @t37 @t44))) % 0.48/0.98 (assume @p9 (forall @t47 (or @t16 @t15 @t46 @t5 @t38 @t37))) % 0.48/0.98 (assume @p10 (forall @t49 (or @t16 @t15 @t4 @t38 @t37 @t48))) % 0.48/0.98 (assume @p11 (forall @t51 (or @t16 @t15 @t50 @t19 @t38 @t37))) % 0.48/0.98 (assume @p12 (forall @t49 (or @t16 @t15 @t18 @t38 @t37 @t52))) % 0.48/0.98 (assume @p13 (forall @t9 (or @t55 @t54 @t19))) % 0.48/0.98 (assume @p14 (forall @t9 (or @t55 @t18 (not @t54)))) % 0.48/0.98 (assume @p15 (forall @t57 (or @t16 @t15 @t11 @t20 @t56))) % 0.48/0.98 (assume @p16 (forall @t17 (or @t16 @t15 @t4 @t20 @t56))) % 0.48/0.98 (assume @p17 (forall @t57 (or @t16 @t15 @t11 @t18 @t56))) % 0.48/0.98 (assume @p18 (forall @t17 (or @t16 @t15 @t4 @t18 @t56))) % 0.48/0.98 (assume @p19 (forall @t62 (or @t61 @t60 @t58 @t19))) % 0.48/0.98 (assume @p20 (forall @t57 (or @t64 (tptp.c_HOL_Oord__class_Oless @t63 @t2 @t1) @t12 @t19))) % 0.48/0.98 (assume @p21 (forall @t17 (or @t64 @t66 @t12 @t19))) % 0.48/0.98 (assume @p22 (forall @t17 (or @t64 @t66 @t21 @t5))) % 0.48/0.98 (assume @p23 (forall @t57 (or @t64 @t20 @t19 (not (tptp.c_HOL_Oord__class_Oless @t2 @t63 @t1))))) % 0.48/0.98 (assume @p24 (forall @t57 (or @t64 @t20 @t19 @t68))) % 0.48/0.98 (assume @p25 (forall @t17 (or @t64 @t67 @t21 @t19))) % 0.48/0.98 (assume @p26 (forall @t17 (or @t39 @t67 @t12 @t5))) % 0.48/0.98 (assume @p27 (forall @t9 (or @t55 @t69 @t5))) % 0.48/0.98 (assume @p28 (forall @t9 (or @t55 @t4 @t70))) % 0.48/0.98 (assume @p29 (forall @t9 (or @t8 @t4 @t70))) % 0.48/0.98 (assume @p30 (forall @t9 (or @t8 @t69 @t5))) % 0.48/0.98 (assume @p31 (forall @t9 (or @t8 @t71 @t19))) % 0.48/0.98 (assume @p32 (forall @t9 (or @t8 @t18 (not @t71)))) % 0.48/0.98 (assume @p33 (forall @t74 (or @t8 @t29 (not (tptp.c_HOL_Oord__class_Oless @t73 @t2 @t1))))) % 0.48/0.98 (assume @p34 (forall @t17 (or @t77 @t76 @t12 @t5))) % 0.48/0.98 (assume @p35 (forall @t57 (or @t16 @t15 @t20 @t11 @t79))) % 0.48/0.98 (assume @p36 (forall @t49 (or @t16 @t84 @t82 @t81))) % 0.48/0.98 (assume @p37 (forall @t49 (or @t16 @t84 @t87 @t86))) % 0.48/0.98 (assume @p38 (forall @t9 (or @t39 (not (tptp.c_HOL_Oord__class_Oless @t88 @t2 @t1))))) % 0.48/0.98 (assume @p39 (forall @t90 (or @t61 (tptp.c_HOL_Oord__class_Oless @t2 @t89 @t1) @t19))) % 0.48/0.98 (assume @p40 (forall @t17 (or @t77 @t91 @t21 @t19))) % 0.48/0.98 (assume @p41 (forall @t28 (or @t16 @t92 @t25 @t30))) % 0.48/0.98 (assume @p42 (forall @t28 (or @t16 @t92 @t31 @t23))) % 0.48/0.98 (assume @p43 (forall @t17 (or @t16 @t15 @t78 @t12 @t19))) % 0.48/0.98 (assume @p44 (forall @t17 (or @t16 @t15 @t78 @t21 @t5))) % 0.48/0.98 (assume @p45 (forall @t62 (or @t39 @t85 @t37 @t44))) % 0.48/0.98 (assume @p46 (forall @t40 (or @t39 @t38 @t80 @t44))) % 0.48/0.98 (assume @p47 (forall @t62 (or @t39 @t85 @t37 @t36))) % 0.48/0.98 (assume @p48 (forall @t40 (or @t39 @t38 @t80 @t36))) % 0.48/0.98 (assume @p49 (forall @t40 (or @t16 @t98 @t68 @t95 @t94))) % 0.48/0.98 (assume @p50 (forall @t40 (or @t16 @t15 @t98 @t68 @t101 @t100))) % 0.48/0.98 (assume @p51 (forall @t62 (or @t16 @t15 @t104 @t82 @t103))) % 0.48/0.98 (assume @p52 (forall @t51 (or @t16 @t15 @t102 @t82 @t105))) % 0.48/0.98 (assume @p53 (forall @t49 (or @t16 @t15 @t108 @t82 @t107))) % 0.48/0.98 (assume @p54 (forall @t47 (or @t16 @t15 @t106 @t82 @t109))) % 0.48/0.98 (assume @p55 (forall @t112 (or @t16 (tptp.c_lessequals @t26 @t110 @t1) (not (tptp.c_lessequals @t22 @t111 @t1)) @t25))) % 0.48/0.98 (assume @p56 (forall @t113 (or @t16 (tptp.c_lessequals @t110 @t26 @t1) (not (tptp.c_lessequals @t111 @t22 @t1)) @t25))) % 0.48/0.98 (assume @p57 (forall @t51 (or @t16 @t15 @t102 @t87 @t109 @t105))) % 0.48/0.98 (assume @p58 (forall @t47 (or @t16 @t15 @t106 @t87 @t105 @t109))) % 0.48/0.98 (assume @p59 (forall @t51 (or @t16 @t15 @t102 @t115 @t109 @t37))) % 0.48/0.98 (assume @p60 (forall @t51 (or @t16 @t15 @t102 @t115 @t38 @t105))) % 0.48/0.98 (assume @p61 (forall @t47 (or @t16 @t15 @t106 @t117 @t105 @t37))) % 0.48/0.98 (assume @p62 (forall @t47 (or @t16 @t15 @t106 @t117 @t38 @t109))) % 0.48/0.98 (assume @p63 (forall @t49 (or @t16 @t15 @t108 @t87 @t37 @t103))) % 0.48/0.98 (assume @p64 (forall @t51 (or @t16 @t15 @t102 @t87 @t109 @t37))) % 0.48/0.98 (assume @p65 (forall @t62 (or @t16 @t15 @t104 @t87 @t37 @t107))) % 0.48/0.98 (assume @p66 (forall @t47 (or @t16 @t15 @t106 @t87 @t105 @t37))) % 0.48/0.98 (assume @p67 (forall (@list @t1 @t3 @t118 @t22) (or (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t1)) (= (tptp.c_Polynomial_Opoly @t119 @t22 @t1) (tptp.c_HOL_Oplus__class_Oplus @t3 (tptp.c_HOL_Otimes__class_Otimes @t22 (tptp.c_Polynomial_Opoly @t118 @t22 @t1) @t1) @t1))))) % 0.48/0.98 (assume @p68 (forall @t122 (or @t8 @t121 (not @t120)))) % 0.48/0.98 (assume @p69 (forall (@list @t1 @t22 @t24 @t123 @t125) (or @t129 (tptp.c_HOL_Oord__class_Oless @t128 (tptp.c_HOL_Otimes__class_Otimes @t123 @t125 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t126 @t125 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t124 @t123 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p70 (forall @t28 (or @t129 (tptp.c_lessequals @t128 @t130 tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p71 (forall (@list @t32 @t3 @t10) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t32 @t3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t32 @t10 tptp.tc_RealDef_Oreal))) @t133 @t131))) % 0.48/0.98 (assume @p72 (forall (@list @t3 @t32 @t10) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t32 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t10 @t32 tptp.tc_RealDef_Oreal))) @t133 @t131))) % 0.48/0.98 (assume @p73 (forall @t40 (or @t137 @t136 @t100))) % 0.48/0.98 (assume @p74 (forall @t49 (or @t137 @t139 @t100))) % 0.48/0.98 (assume @p75 (forall @t47 (or @t140 @t99 (not @t136)))) % 0.48/0.98 (assume @p76 (forall @t40 (or @t140 @t136 @t100))) % 0.48/0.98 (assume @p77 (forall @t47 (or @t140 @t99 (not @t139)))) % 0.48/0.98 (assume @p78 (forall @t49 (or @t140 @t139 @t100))) % 0.48/0.98 (assume @p79 (forall @t144 (or @t137 (tptp.c_lessequals @t59 @t143 @t1) @t142 @t100))) % 0.48/0.98 (assume @p80 (forall (@list @t1 @t3 @t10 @t141 @t32) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1)) (tptp.c_lessequals @t3 @t143 @t1) @t142 (not (tptp.c_lessequals @t3 @t138 @t1))))) % 0.48/0.98 (assume @p81 (forall @t62 (or @t39 @t85 @t80 @t44))) % 0.48/0.98 (assume @p82 (forall @t62 (or @t39 @t85 @t80 @t36))) % 0.48/0.98 (assume @p83 (forall @t144 (or @t147 @t146 @t145 @t81))) % 0.48/0.98 (assume @p84 (forall @t47 (or @t140 @t80 (not @t148)))) % 0.48/0.98 (assume @p85 (forall @t40 (or @t140 @t148 @t81))) % 0.48/0.98 (assume @p86 (forall @t40 (or @t147 @t148 @t81))) % 0.48/0.98 (assume @p87 (forall @t47 (or @t140 @t80 (not @t149)))) % 0.48/0.98 (assume @p88 (forall @t49 (or @t140 @t149 @t81))) % 0.48/0.98 (assume @p89 (forall @t49 (or @t147 @t149 @t81))) % 0.48/0.98 (assume @p90 (forall @t51 (or @t16 @t15 @t102 @t115 @t109 @t105))) % 0.48/0.98 (assume @p91 (forall @t47 (or @t16 @t15 @t106 @t117 @t105 @t109))) % 0.48/0.98 (assume @p92 (forall @t28 (or @t39 @t153 @t152))) % 0.48/0.98 (assume @p93 (forall @t155 (or @t39 @t154 @t152))) % 0.48/0.98 (assume @p94 (forall @t28 (or @t39 (tptp.c_lessequals @t2 @t151 @t1)))) % 0.48/0.98 (assume @p95 (forall @t158 (or @t39 (tptp.c_lessequals @t157 @t2 @t1)))) % 0.48/0.98 (assume @p96 (forall @t28 (or @t39 @t159 @t153))) % 0.48/0.98 (assume @p97 (forall @t28 (or @t39 @t159 @t154))) % 0.48/0.98 (assume @p98 (forall @t28 (or @t39 (not (tptp.c_HOL_Oord__class_Oless @t151 @t2 @t1))))) % 0.48/0.98 (assume @p99 (forall @t62 (or @t16 @t15 @t160 @t82 @t52))) % 0.48/0.98 (assume @p100 (forall @t51 (or @t16 @t15 @t50 @t82 @t161))) % 0.48/0.98 (assume @p101 (forall @t49 (or @t16 @t15 @t162 @t82 @t48))) % 0.48/0.98 (assume @p102 (forall @t47 (or @t16 @t15 @t46 @t82 @t163))) % 0.48/0.98 (assume @p103 (forall @t112 (or @t16 (tptp.c_HOL_Oord__class_Oless @t26 @t110 @t1) (not (tptp.c_HOL_Oord__class_Oless @t22 @t111 @t1)) @t25))) % 0.48/0.98 (assume @p104 (forall @t113 (or @t16 (tptp.c_HOL_Oord__class_Oless @t110 @t26 @t1) (not (tptp.c_HOL_Oord__class_Oless @t111 @t22 @t1)) @t25))) % 0.48/0.98 (assume @p105 (forall @t158 (or @t39 (not (tptp.c_HOL_Oord__class_Oless @t2 @t157 @t1))))) % 0.48/0.98 (assume @p106 (forall @t51 (or @t16 @t15 @t50 @t87 @t163 @t161))) % 0.48/0.98 (assume @p107 (forall @t51 (or @t16 @t15 @t50 @t19 @t163 @t161))) % 0.48/0.98 (assume @p108 (forall @t47 (or @t16 @t15 @t46 @t87 @t161 @t163))) % 0.48/0.98 (assume @p109 (forall @t47 (or @t16 @t15 @t46 @t5 @t161 @t163))) % 0.48/0.98 (assume @p110 (forall @t49 (or @t16 @t15 @t162 @t87 @t37 @t52))) % 0.48/0.98 (assume @p111 (forall @t51 (or @t16 @t15 @t50 @t87 @t163 @t37))) % 0.48/0.98 (assume @p112 (forall @t51 (or @t16 @t15 @t50 @t19 @t163 @t37))) % 0.48/0.98 (assume @p113 (forall @t51 (or @t16 @t15 @t50 @t19 @t38 @t161))) % 0.48/0.98 (assume @p114 (forall @t62 (or @t16 @t15 @t160 @t87 @t37 @t48))) % 0.48/0.98 (assume @p115 (forall @t47 (or @t16 @t15 @t46 @t87 @t161 @t37))) % 0.48/0.98 (assume @p116 (forall @t47 (or @t16 @t15 @t46 @t5 @t161 @t37))) % 0.48/0.98 (assume @p117 (forall @t47 (or @t16 @t15 @t46 @t5 @t38 @t163))) % 0.48/0.98 (assume @p118 (forall @t40 (or @t16 @t164 @t68 @t82 @t86))) % 0.48/0.98 (assume @p119 (forall @t40 (or @t16 @t164 @t68 @t87 @t81))) % 0.48/0.98 (assume @p120 (forall @t9 (or @t166 @t165))) % 0.48/0.98 (assume @p121 (forall @t9 (or @t166 @t167))) % 0.48/0.98 (assume @p122 (forall @t9 (or @t168 @t165))) % 0.48/0.98 (assume @p123 (forall @t169 (or @t166 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t22 @t1) @t22)))) % 0.48/0.98 (assume @p124 (forall @t169 (or @t171 @t170 (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t2 @t1))))) % 0.48/0.98 (assume @p125 (forall @t9 (or @t168 @t167))) % 0.48/0.98 (assume @p126 (forall @t9 (or @t172 @t165))) % 0.48/0.98 (assume @p127 (forall @t9 (or @t172 @t167))) % 0.48/0.98 (assume @p128 (forall @t169 (or @t174 (not (= @t173 @t2)) @t153))) % 0.48/0.98 (assume @p129 (forall @t9 (or @t8 (not (= @t6 @t2)) @t175))) % 0.48/0.98 (assume @p130 (forall @t177 (or @t176 (= (tptp.c_HOL_Oinverse__class_Odivide @t2 @t24 @t1) @t2)))) % 0.48/0.98 (assume @p131 (forall @t9 (or @t178 @t15 (= (tptp.c_HOL_Oinverse__class_Odivide @t3 @t2 @t1) @t2)))) % 0.48/0.98 (assume @p132 (forall @t180 (or @t178 @t15 (= @t179 @t2)))) % 0.48/0.98 (assume @p133 (forall @t9 (or @t178 (= (tptp.c_HOL_Oinverse__class_Odivide @t2 @t3 @t1) @t2)))) % 0.48/0.98 (assume @p134 (forall @t158 (or @t55 @t181))) % 0.48/0.98 (assume @p135 (forall (@list @t1 @t22 @t3) (or @t171 @t170 (not (= @t22 (tptp.c_HOL_Oplus__class_Oplus @t22 @t3 @t1))) @t175))) % 0.48/0.98 (assume @p136 (forall @t17 (or @t16 @t15 @t4 @t11 @t79))) % 0.48/0.98 (assume @p137 (forall @t57 (or @t16 @t15 @t20 @t18 @t79))) % 0.48/0.98 (assume @p138 (forall @t17 (or @t16 @t15 @t4 @t18 @t79))) % 0.48/0.98 (assume @p139 (forall @t40 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t43 @t82 @t81))) % 0.48/0.98 (assume @p140 (forall @t49 (or @t39 @t35 @t86 @t87))) % 0.48/0.98 (assume @p141 (forall @t49 (or @t39 @t35 @t81 @t82))) % 0.48/0.98 (assume @p142 (forall @t49 (or @t64 @t35 @t82 @t81))) % 0.48/0.98 (assume @p143 (forall @t49 (or @t39 @t35 @t87 @t86))) % 0.48/0.98 (assume @p144 (forall @t40 (or @t39 @t43 @t86 @t87))) % 0.48/0.98 (assume @p145 (forall @t40 (or @t39 @t43 @t81 @t82))) % 0.48/0.98 (assume @p146 (forall @t40 (or @t64 @t43 @t82 @t81))) % 0.48/0.98 (assume @p147 (forall @t40 (or @t39 @t43 @t87 @t86))) % 0.48/0.98 (assume @p148 (forall @t47 (or @t39 @t80 @t44 @t82))) % 0.48/0.98 (assume @p149 (forall @t62 (or @t39 @t85 @t44 @t87))) % 0.48/0.98 (assume @p150 (forall @t17 (or @t77 (tptp.c_lessequals @t75 @t2 @t1) @t183 @t117))) % 0.48/0.98 (assume @p151 (forall @t9 (or @t55 @t184 @t117))) % 0.48/0.98 (assume @p152 (forall @t9 (or @t55 @t116 (not @t184)))) % 0.48/0.98 (assume @p153 (forall @t17 (or @t16 @t15 @t185 @t183 @t117))) % 0.48/0.98 (assume @p154 (forall @t17 (or @t16 @t15 @t185 @t187 @t115))) % 0.48/0.98 (assume @p155 (forall @t57 (or @t16 @t15 @t186 @t182 @t189))) % 0.48/0.98 (assume @p156 (forall @t17 (or @t16 @t15 @t116 @t182 @t189))) % 0.48/0.98 (assume @p157 (forall @t57 (or @t16 @t15 @t186 @t114 @t189))) % 0.48/0.98 (assume @p158 (forall @t17 (or @t16 @t15 @t116 @t114 @t189))) % 0.48/0.98 (assume @p159 (forall @t90 (or @t61 @t190 @t115))) % 0.48/0.98 (assume @p160 (forall @t90 (or @t8 @t190 @t115))) % 0.48/0.98 (assume @p161 (forall @t9 (or @t55 @t191 @t115))) % 0.48/0.98 (assume @p162 (forall @t9 (or @t55 @t114 (not @t191)))) % 0.48/0.98 (assume @p163 (forall @t17 (or @t77 (tptp.c_lessequals @t2 @t75 @t1) @t187 @t115))) % 0.48/0.98 (assume @p164 (forall @t57 (or @t192 (tptp.c_lessequals @t63 @t2 @t1) @t183 @t115))) % 0.48/0.98 (assume @p165 (forall @t17 (or @t192 @t193 @t187 @t117))) % 0.48/0.98 (assume @p166 (forall @t17 (or @t192 @t193 @t183 @t115))) % 0.48/0.98 (assume @p167 (forall @t17 (or @t39 @t193 @t187 @t117))) % 0.48/0.98 (assume @p168 (forall @t17 (or @t39 @t193 @t183 @t115))) % 0.48/0.98 (assume @p169 (forall @t144 (or @t196 @t195 @t95 @t115 @t142 @t100))) % 0.48/0.98 (assume @p170 (forall @t144 (or @t196 @t195 @t95 @t187 @t142 @t100))) % 0.48/0.98 (assume @p171 (forall @t57 (or @t39 @t182 @t186 @t198))) % 0.48/0.98 (assume @p172 (forall @t17 (or @t39 @t116 @t186 @t198))) % 0.48/0.98 (assume @p173 (forall @t57 (or @t39 @t182 @t114 @t198))) % 0.48/0.98 (assume @p174 (forall @t17 (or @t39 @t116 @t114 @t198))) % 0.48/0.98 (assume @p175 (forall @t17 (or @t192 @t197 @t187 @t115))) % 0.48/0.98 (assume @p176 (forall @t17 (or @t39 @t197 @t183 @t117))) % 0.48/0.98 (assume @p177 (forall @t17 (or @t39 @t197 @t187 @t115))) % 0.48/0.98 (assume @p178 (forall @t9 (or @t39 (tptp.c_lessequals @t2 @t88 @t1)))) % 0.48/0.98 (assume @p179 (forall @t17 (or @t199 @t197 @t183 @t117))) % 0.48/0.98 (assume @p180 (forall @t17 (or @t199 @t197 @t187 @t115))) % 0.48/0.98 (assume @p181 (forall @t51 (or @t16 @t15 (tptp.c_lessequals @t45 @t83 @t1) @t101 @t100))) % 0.48/0.98 (assume @p182 (forall @t49 (or @t16 @t15 (tptp.c_lessequals @t83 @t45 @t1) @t95 @t100))) % 0.48/0.98 (assume @p183 (forall @t49 (or @t199 @t200 @t101 @t94))) % 0.48/0.98 (assume @p184 (forall @t40 (or @t199 @t201 @t101 @t94))) % 0.48/0.98 (assume @p185 (forall @t49 (or @t202 @t200 @t95 @t100))) % 0.48/0.98 (assume @p186 (forall @t40 (or @t202 @t201 @t95 @t100))) % 0.48/0.98 (assume @p187 (forall @t40 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t201 @t95 @t100))) % 0.48/0.98 (assume @p188 (forall @t57 (or @t39 @t186 @t182 @t203))) % 0.48/0.98 (assume @p189 (forall @t17 (or @t39 @t116 @t182 @t203))) % 0.48/0.98 (assume @p190 (forall @t57 (or @t39 @t186 @t114 @t203))) % 0.48/0.98 (assume @p191 (forall @t17 (or @t39 @t116 @t114 @t203))) % 0.48/0.98 (assume @p192 (forall @t28 (or @t77 @t207 @t205 @t204 @t154))) % 0.48/0.98 (assume @p193 (forall @t28 (or @t77 @t207 @t205 @t204 @t153))) % 0.48/0.98 (assume @p194 (forall @t17 (or @t16 @t15 @t188 @t187 @t117))) % 0.48/0.98 (assume @p195 (forall @t17 (or @t16 @t15 @t188 @t183 @t115))) % 0.48/0.98 (assume @p196 (forall @t62 (or @t140 @t168 @t208 @t94 @t95))) % 0.48/0.98 (assume @p197 (forall @t62 (or @t140 @t168 @t208 @t209 @t115))) % 0.48/0.98 (assume @p198 (forall @t158 (or @t77 @t210 @t210 @t181))) % 0.48/0.98 (assume @p199 (forall @t57 (or @t16 @t15 @t182 @t186 @t211))) % 0.48/0.98 (assume @p200 (forall @t17 (or @t16 @t15 @t116 @t186 @t211))) % 0.48/0.98 (assume @p201 (forall @t57 (or @t16 @t15 @t182 @t114 @t211))) % 0.48/0.98 (assume @p202 (forall @t17 (or @t16 @t15 @t116 @t114 @t211))) % 0.48/0.98 (assume @p203 (forall (@list @t1 @t3 @t72 @t10) (or @t61 (tptp.c_lessequals @t89 @t212 @t1) @t115 @t100))) % 0.48/0.98 (assume @p204 (forall @t74 (or @t8 @t153 @t213 (not (tptp.c_lessequals @t73 @t2 @t1))))) % 0.48/0.98 (assume @p205 (forall @t144 (or @t147 @t146 @t142 @t81))) % 0.48/0.98 (assume @p206 (forall @t144 (or @t147 @t146 @t145 @t100))) % 0.48/0.98 (assume @p207 (forall @t216 (or @t215 @t214))) % 0.48/0.98 (assume @p208 (forall @t217 (or (= @t22 @t132) (tptp.c_HOL_Oord__class_Oless @t132 (tptp.c_HOL_Otimes__class_Otimes @t22 @t22 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p209 (not (tptp.c_HOL_Oord__class_Oless @t132 (tptp.c_HOL_Otimes__class_Otimes @t132 @t132 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.48/0.98 (assume @p210 (forall (@list @t218) (tptp.c_HOL_Oord__class_Oless @t132 (tptp.c_RealDef_Oreal__of__preal @t218) tptp.tc_RealDef_Oreal))) % 0.48/0.98 (assume @p211 (forall @t220 (tptp.c_HOL_Oord__class_Oless @t132 (tptp.c_RealDef_Oreal__of__preal @t219) tptp.tc_RealDef_Oreal))) % 0.48/0.98 (assume @p212 (forall @t228 (or @t227 @t224 @t222 @t221))) % 0.48/0.98 (assume @p213 (forall @t228 (or @t223 (not @t227) @t222 @t221))) % 0.48/0.98 (assume @p214 (forall @t228 (or (not (= @t226 @t225)) @t222 @t221 @t229))) % 0.48/0.98 (assume @p215 (forall @t217 (or (tptp.c_HOL_Oord__class_Oless @t226 @t22 tptp.tc_RealDef_Oreal) @t221))) % 0.48/0.98 (assume @p216 (forall @t228 (or (tptp.c_HOL_Oord__class_Oless @t132 (tptp.c_HOL_Otimes__class_Otimes @t22 @t24 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t222 @t221))) % 0.48/0.98 (assume @p217 (forall @t233 (or (tptp.c_HOL_Oord__class_Oless @t232 @t231 tptp.tc_RealDef_Oreal) @t224 @t230))) % 0.48/0.98 (assume @p218 (forall @t237 (or @t236 @t224 @t230))) % 0.48/0.98 (assume @p219 (forall @t238 (or @t223 (not @t236) @t230))) % 0.48/0.98 (assume @p220 (forall @t144 (or @t64 @t239 @t82 @t115 @t142 @t81))) % 0.48/0.98 (assume @p221 (forall @t144 (or @t64 @t239 @t95 @t19 @t145 @t100))) % 0.48/0.98 (assume @p222 (forall @t247 (or @t16 (tptp.c_lessequals @t246 @t245 @t1) @t244 @t243 @t241 @t204))) % 0.48/0.98 (assume @p223 (forall @t62 (or @t140 @t168 @t60 @t209 @t19))) % 0.48/0.98 (assume @p224 (forall @t17 (or @t77 @t91 @t187 @t19))) % 0.48/0.98 (assume @p225 (forall @t17 (or @t77 @t91 @t21 @t115))) % 0.48/0.98 (assume @p226 (forall @t28 (or @t16 @t249 @t31 @t248))) % 0.48/0.98 (assume @p227 (forall @t28 (or @t16 @t249 @t25 @t204))) % 0.48/0.98 (assume @p228 (forall @t247 (or @t16 @t252 @t244 @t243 @t251 @t204))) % 0.48/0.98 (assume @p229 (forall @t144 (or @t64 @t239 @t95 @t115 @t145 @t81))) % 0.48/0.98 (assume @p230 (forall @t28 (or @t16 @t253 @t25 @t248))) % 0.48/0.98 (assume @p231 (forall @t9 (or @t55 (not (= @t53 @t2)) @t175))) % 0.48/0.98 (assume @p232 (forall @t17 (or @t256 @t255 @t175 @t254))) % 0.48/0.98 (assume @p233 (forall @t17 (or @t256 @t255 @t254 @t175))) % 0.48/0.98 (assume @p234 (forall @t17 (or @t257 @t255 @t254 @t175))) % 0.48/0.98 (assume @p235 (forall @t90 (or (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1)) @t256 @t259 (not (tptp.class_Power_Opower @t1)) @t258 @t175))) % 0.48/0.98 (assume @p236 (forall @t90 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t258 @t175))) % 0.48/0.98 (assume @p237 (forall @t158 (or @t178 @t15 (= (tptp.c_HOL_Oinverse__class_Odivide @t2 @t2 @t1) @t2)))) % 0.48/0.98 (assume @p238 (forall @t9 (or @t166 @t260))) % 0.48/0.98 (assume @p239 (forall @t9 (or @t166 @t261))) % 0.48/0.98 (assume @p240 (forall @t177 (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t24 @t1) @t2)))) % 0.48/0.98 (assume @p241 (forall @t180 (or @t129 @t262))) % 0.48/0.98 (assume @p242 (forall @t9 (or @t129 @t261))) % 0.48/0.98 (assume @p243 (forall @t169 (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t2 @t1) @t2)))) % 0.48/0.98 (assume @p244 (forall @t169 (or @t166 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t22 @t1) @t2)))) % 0.48/0.98 (assume @p245 (forall @t9 (or @t259 @t260))) % 0.48/0.98 (assume @p246 (forall @t9 (or @t259 @t261))) % 0.48/0.98 (assume @p247 (forall @t180 (or @t257 @t262))) % 0.48/0.98 (assume @p248 (forall @t9 (or @t257 @t261))) % 0.48/0.98 (assume @p249 (forall @t158 (or @t174 @t264))) % 0.48/0.98 (assume @p250 (forall @t158 (or (not (tptp.class_Ring__and__Field_Osgn__if @t1)) @t264))) % 0.48/0.98 (assume @p251 (forall @t158 (or @t8 @t264))) % 0.48/0.98 (assume @p252 (forall @t180 (or @t178 @t15 (= @t2 @t179)))) % 0.48/0.98 (assume @p253 (forall @t266 (or @t176 (= (tptp.c_HOL_Oinverse__class_Odivide @t206 @t265 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide @t22 @t265 @t1) (tptp.c_HOL_Oinverse__class_Odivide @t24 @t265 @t1) @t1))))) % 0.48/0.98 (assume @p254 (forall @t47 (or @t178 (= (tptp.c_HOL_Oinverse__class_Odivide @t75 @t32 @t1) (tptp.c_HOL_Oplus__class_Oplus @t83 @t45 @t1))))) % 0.48/0.98 (assume @p255 (forall @t112 (or @t178 @t15 (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t110 @t1) (tptp.c_HOL_Oinverse__class_Odivide @t267 @t24 @t1))))) % 0.48/0.98 (assume @p256 (forall @t40 (or @t178 @t15 (= (tptp.c_HOL_Oinverse__class_Odivide @t42 @t41 @t1) @t13) @t268))) % 0.48/0.98 (assume @p257 (forall @t49 (or @t178 @t15 (= (tptp.c_HOL_Oinverse__class_Odivide @t34 @t33 @t1) @t13) @t268))) % 0.48/0.98 (assume @p258 (forall (@list @t1 @t3 @t269 @t10 @t32) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t269 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t10 @t269 @t1) @t32 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t75 @t269 @t1) @t32 @t1))))) % 0.48/0.98 (assume @p259 (forall @t47 (or @t166 @t272))) % 0.48/0.98 (assume @p260 (forall @t275 (or @t166 (= @t274 (tptp.c_HOL_Oplus__class_Oplus @t32 (tptp.c_HOL_Oplus__class_Oplus @t3 @t141 @t1) @t1))))) % 0.48/0.98 (assume @p261 (forall @t47 (or @t166 (= @t271 (tptp.c_HOL_Oplus__class_Oplus @t59 @t10 @t1))))) % 0.48/0.98 (assume @p262 (forall @t275 (or @t166 (= @t274 (tptp.c_HOL_Oplus__class_Oplus @t59 @t141 @t1))))) % 0.48/0.98 (assume @p263 (forall @t47 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t272))) % 0.48/0.98 (assume @p264 (forall @t112 (or @t279 (= @t278 (tptp.c_HOL_Oplus__class_Oplus @t24 @t276 @t1))))) % 0.48/0.98 (assume @p265 (forall @t112 (or @t166 (= @t278 (tptp.c_HOL_Oplus__class_Oplus @t206 @t110 @t1))))) % 0.48/0.98 (assume @p266 (forall @t47 (or @t168 @t272))) % 0.48/0.98 (assume @p267 (forall @t47 (or @t168 (= @t270 (tptp.c_HOL_Oplus__class_Oplus @t10 @t59 @t1))))) % 0.48/0.98 (assume @p268 (forall @t17 (or @t166 (= @t65 @t63)))) % 0.48/0.98 (assume @p269 (forall @t280 (= (tptp.c_HOL_Otimes__class_Otimes @t110 @t242 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t242 @t110 tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p270 (forall @t28 (or @t166 (= @t127 (tptp.c_HOL_Otimes__class_Otimes @t24 @t22 @t1))))) % 0.48/0.98 (assume @p271 (forall (@list @t1 @t22 @t32 @t141) (or @t171 @t170 (= (tptp.c_HOL_Oplus__class_Oplus @t281 @t282 @t1) (tptp.c_HOL_Oplus__class_Oplus @t282 @t281 @t1))))) % 0.48/0.98 (assume @p272 (forall @t112 (or @t171 @t170 (= @t283 (tptp.c_HOL_Oplus__class_Oplus @t267 @t127 @t1))))) % 0.48/0.98 (assume @p273 (forall @t292 (or @t166 (= @t291 (tptp.c_HOL_Otimes__class_Otimes @t288 (tptp.c_HOL_Otimes__class_Otimes @t285 @t284 @t1) @t1))))) % 0.48/0.98 (assume @p274 (forall @t292 (or @t166 (= @t291 (tptp.c_HOL_Otimes__class_Otimes @t287 (tptp.c_HOL_Otimes__class_Otimes @t285 @t289 @t1) @t1))))) % 0.48/0.98 (assume @p275 (forall @t292 (or @t166 (= @t291 (tptp.c_HOL_Otimes__class_Otimes @t286 (tptp.c_HOL_Otimes__class_Otimes @t290 @t284 @t1) @t1))))) % 0.48/0.98 (assume @p276 (forall @t295 (or @t178 @t15 @t294 @t268))) % 0.48/0.98 (assume @p277 (forall @t295 (or @t178 @t15 @t296 @t268))) % 0.48/0.98 (assume @p278 (forall @t297 (or @t178 @t268 @t294))) % 0.48/0.98 (assume @p279 (forall @t297 (or @t178 @t268 @t296))) % 0.48/0.98 (assume @p280 (forall @t299 (or @t178 @t15 @t298))) % 0.48/0.98 (assume @p281 (forall (@list @t1 @t22 @t24 @t110 @t242) (or @t178 @t15 (= (tptp.c_HOL_Otimes__class_Otimes @t26 (tptp.c_HOL_Oinverse__class_Odivide @t110 @t242 @t1) @t1) (tptp.c_HOL_Oinverse__class_Odivide @t267 (tptp.c_HOL_Otimes__class_Otimes @t24 @t242 @t1) @t1))))) % 0.48/0.98 (assume @p282 (forall @t28 (or @t300 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t127 @t1) @t127)))) % 0.48/0.98 (assume @p283 (forall (@list @t1 @t22 @t123 @t32 @t141) (or @t171 @t170 (not (= (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t123 @t32 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t22 (tptp.c_HOL_Otimes__class_Otimes @t123 @t141 @t1) @t1))) @t301 (= @t123 @t2)))) % 0.48/0.98 (assume @p284 (forall @t28 (or @t39 @t302 @t153))) % 0.48/0.98 (assume @p285 (forall @t28 (or @t39 @t302 @t154))) % 0.48/0.98 (assume @p286 (forall @t169 (or @t300 (= @t150 @t22)))) % 0.48/0.98 (assume @p287 (forall (@list @t1 @t22 @t24 @t303) (or @t166 (= (tptp.c_Power_Opower__class_Opower @t127 @t303 @t1) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t22 @t303 @t1) (tptp.c_Power_Opower__class_Opower @t24 @t303 @t1) @t1))))) % 0.48/0.98 (assume @p288 (forall @t299 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1)) (= (tptp.c_Power_Opower__class_Opower @t65 @t72 @t1) (tptp.c_HOL_Otimes__class_Otimes @t89 @t212 @t1))))) % 0.48/0.98 (assume @p289 (forall @t47 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t65 @t32 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t33 @t1))))) % 0.48/0.98 (assume @p290 (forall @t305 (or @t166 (= @t304 (tptp.c_HOL_Otimes__class_Otimes @t288 @t285 @t1))))) % 0.48/0.98 (assume @p291 (forall @t305 (or @t166 (= @t304 (tptp.c_HOL_Otimes__class_Otimes @t287 (tptp.c_HOL_Otimes__class_Otimes @t285 @t286 @t1) @t1))))) % 0.48/0.98 (assume @p292 (forall @t307 (or @t166 (= @t306 (tptp.c_HOL_Otimes__class_Otimes @t288 @t284 @t1))))) % 0.48/0.98 (assume @p293 (forall @t307 (or @t166 (= @t306 (tptp.c_HOL_Otimes__class_Otimes @t286 (tptp.c_HOL_Otimes__class_Otimes @t287 @t284 @t1) @t1))))) % 0.48/0.98 (assume @p294 (forall (@list @t310 @t309 @t308) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t310 @t309 tptp.tc_RealDef_Oreal) @t308 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t310 (tptp.c_HOL_Otimes__class_Otimes @t309 @t308 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p295 (forall @t112 (or @t166 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t311 @t1) (tptp.c_HOL_Otimes__class_Otimes @t127 @t110 @t1))))) % 0.48/0.98 (assume @p296 (forall @t47 (or @t166 @t312))) % 0.48/0.98 (assume @p297 (forall (@list @t1 @t219 @t22 @t24) (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t219 @t206 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t219 @t22 @t1) (tptp.c_HOL_Otimes__class_Otimes @t219 @t24 @t1) @t1))))) % 0.48/0.98 (assume @p298 (forall (@list @t1 @t3 @t10 @t313) (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Oplus__class_Oplus @t10 @t313 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t65 (tptp.c_HOL_Otimes__class_Otimes @t3 @t313 @t1) @t1))))) % 0.48/0.98 (assume @p299 (forall @t266 (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes @t206 @t265 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t22 @t265 @t1) (tptp.c_HOL_Otimes__class_Otimes @t24 @t265 @t1) @t1))))) % 0.48/0.98 (assume @p300 (forall (@list @t1 @t3 @t314 @t10) (or @t129 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t3 @t314 @t1) @t10 @t1) (tptp.c_HOL_Oplus__class_Oplus @t65 (tptp.c_HOL_Otimes__class_Otimes @t314 @t10 @t1) @t1))))) % 0.48/0.98 (assume @p301 (forall @t112 (or @t166 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t277 @t1) @t283)))) % 0.48/0.98 (assume @p302 (forall @t47 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t312))) % 0.48/0.98 (assume @p303 (forall (@list @t1 @t3 @t218 @t10) (or @t166 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t218 @t1) (tptp.c_HOL_Otimes__class_Otimes @t10 @t218 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t75 @t218 @t1))))) % 0.48/0.98 (assume @p304 (forall @t9 (or @t8 (= (tptp.c_HOL_Osgn__class_Osgn @t6 @t1) @t6)))) % 0.48/0.98 (assume @p305 (forall @t112 (or @t178 @t15 (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t110 @t1) @t315) @t154))) % 0.48/0.98 (assume @p306 (forall @t113 (or @t178 @t15 (= (tptp.c_HOL_Oplus__class_Oplus @t110 @t26 @t1) @t315) @t154))) % 0.48/0.98 (assume @p307 (forall (@list @t1 @t3 @t10 @t32 @t141) (or @t166 (= (tptp.c_HOL_Oplus__class_Oplus @t75 @t273 @t1) (tptp.c_HOL_Oplus__class_Oplus @t59 @t143 @t1))))) % 0.48/0.98 (assume @p308 (forall @t112 (or @t171 @t170 (not (= @t206 @t276)) @t316))) % 0.48/0.98 (assume @p309 (forall @t47 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t318 @t317))) % 0.48/0.98 (assume @p310 (forall @t47 (or @t319 @t318 @t317))) % 0.48/0.98 (assume @p311 (forall @t62 (or @t319 (not (= @t320 @t135)) @t317))) % 0.48/0.98 (assume @p312 (forall (@list @t1 @t22 @t24 @t110 @t321) (or @t279 (not (= @t278 (tptp.c_HOL_Oplus__class_Oplus @t24 @t321 @t1))) (= @t276 @t321)))) % 0.48/0.98 (assume @p313 (forall @t295 (or @t166 (= @t59 @t135)))) % 0.48/0.98 (assume @p314 (forall @t28 (or @t166 (= @t206 (tptp.c_HOL_Oplus__class_Oplus @t24 @t22 @t1))))) % 0.48/0.98 (assume @p315 (forall @t17 (or @t168 (= @t75 @t320)))) % 0.48/0.98 (assume @p316 (forall @t28 (or @t322 (= @t128 @t130)))) % 0.48/0.98 (assume @p317 (forall @t90 (or (not (tptp.class_OrderedGroup_Omonoid__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t89 @t3 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t89 @t1))))) % 0.48/0.98 (assume @p318 (forall @t324 (or @t178 @t15 (= @t2 @t323)))) % 0.48/0.98 (assume @p319 (forall @t144 (or @t171 @t170 (not (= (tptp.c_HOL_Oplus__class_Oplus @t34 @t194 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t141 @t1) @t33 @t1))) @t301 @t131))) % 0.48/0.98 (assume @p320 (forall (@list @t1 @t242 @t24 @t22 @t110) (or @t171 @t170 (not (= (tptp.c_HOL_Oplus__class_Oplus @t325 @t267 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t242 @t110 @t1) @t127 @t1))) @t316 (= @t242 @t22)))) % 0.48/0.98 (assume @p321 (forall @t328 (or @t178 (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t327 @t1) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus @t267 @t325 @t1) @t311 @t1)) @t326 @t154))) % 0.48/0.98 (assume @p322 (forall @t330 (or @t178 @t15 (= @t10 @t329) @t268))) % 0.48/0.98 (assume @p323 (forall @t330 (or @t178 @t15 (= @t329 @t10) @t268))) % 0.48/0.98 (assume @p324 (forall @t299 (or @t178 @t298 @t254))) % 0.48/0.98 (assume @p325 (forall @t158 (or @t39 (= @t157 @t2)))) % 0.48/0.98 (assume @p326 (forall @t328 (or @t178 (not @t332) @t326 @t154 @t331))) % 0.48/0.98 (assume @p327 (forall (@list @t1 @t22 @t110 @t242 @t24) (or @t178 (not @t331) @t326 @t154 @t332))) % 0.48/0.98 (assume @p328 (forall @t28 (or @t322 (= (tptp.c_HOL_Osgn__class_Osgn @t127 @t1) (tptp.c_HOL_Otimes__class_Otimes @t173 (tptp.c_HOL_Osgn__class_Osgn @t24 @t1) @t1))))) % 0.48/0.98 (assume @p329 (forall @t17 (or @t8 (= (tptp.c_HOL_Osgn__class_Osgn @t65 @t1) (tptp.c_HOL_Otimes__class_Otimes @t6 (tptp.c_HOL_Osgn__class_Osgn @t10 @t1) @t1))))) % 0.48/0.98 (assume @p330 (forall @t324 (or @t178 @t15 (= @t323 @t2)))) % 0.48/0.98 (assume @p331 (forall @t28 (or @t16 @t253 @t31 @t204))) % 0.48/0.98 (assume @p332 (forall @t17 (or @t77 @t76 @t12 @t117))) % 0.48/0.98 (assume @p333 (forall @t17 (or @t77 @t76 @t183 @t5))) % 0.48/0.98 (assume @p334 (forall @t299 (or @t61 @t80 @t187 (not (tptp.c_HOL_Oord__class_Oless @t89 @t212 @t1))))) % 0.48/0.98 (assume @p335 (forall @t47 (or @t64 @t80 @t95 @t36))) % 0.48/0.98 (assume @p336 (forall @t47 (or @t64 @t80 @t95 @t44))) % 0.48/0.98 (assume @p337 (forall @t47 (or @t333 @t80 @t95 @t36))) % 0.48/0.98 (assume @p338 (forall @t47 (or @t333 @t80 @t95 @t44))) % 0.48/0.98 (assume @p339 (forall @t144 (or @t64 @t239 @t95 @t21 @t145 @t81))) % 0.48/0.98 (assume @p340 (forall @t247 (or @t16 @t252 (not (tptp.c_HOL_Oord__class_Oless @t242 @t110 @t1)) @t243 @t241 @t23))) % 0.48/0.98 (assume @p341 (forall @t62 (or @t140 @t168 @t60 @t58 @t115))) % 0.48/0.98 (assume @p342 (forall @t47 (or @t64 @t99 @t82 (not @t200)))) % 0.48/0.98 (assume @p343 (forall @t47 (or @t64 @t99 @t82 @t334))) % 0.48/0.98 (assume @p344 (forall @t40 (or @t39 @t201 @t100 @t82))) % 0.48/0.98 (assume @p345 (forall @t47 (or @t39 @t99 @t334 @t82))) % 0.48/0.98 (assume @p346 (forall @t40 (or @t39 @t201 @t94 @t87))) % 0.48/0.98 (assume @p347 (forall @t62 (or @t39 @t93 @t334 @t87))) % 0.48/0.98 (assume @p348 (forall @t47 (or @t16 @t15 @t106 @t117 @t38 @t37))) % 0.48/0.98 (assume @p349 (forall @t49 (or @t16 @t15 @t116 @t38 @t37 @t107))) % 0.48/0.98 (assume @p350 (forall @t51 (or @t16 @t15 @t102 @t115 @t38 @t37))) % 0.48/0.98 (assume @p351 (forall @t49 (or @t16 @t15 @t114 @t38 @t37 @t103))) % 0.48/0.98 (assume @p352 (forall @t158 (or @t174 (= (tptp.c_RealVector_Onorm__class_Onorm @t263 @t1) @t132)))) % 0.48/0.98 (assume @p353 (forall @t122 (or @t8 @t18 @t120 (not @t121)))) % 0.48/0.98 (assume @p354 (forall @t228 (or @t337 @t336 @t222 @t221))) % 0.48/0.98 (assume @p355 (forall @t228 (or @t335 (not @t337) @t222 @t221))) % 0.48/0.98 (assume @p356 (forall @t228 (or (tptp.c_HOL_Oord__class_Oless @t339 @t24 tptp.tc_RealDef_Oreal) @t224 @t338))) % 0.48/0.98 (assume @p357 (forall @t228 (or (tptp.c_HOL_Oord__class_Oless @t22 @t339 tptp.tc_RealDef_Oreal) @t224 @t338))) % 0.48/0.98 (assume @p358 (forall @t216 (or @t215 (not (tptp.c_lessequals @t24 @t132 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p359 (forall @t233 (or @t340 @t336 @t230))) % 0.48/0.98 (assume @p360 (forall @t238 (or @t335 (not @t340) @t230))) % 0.48/0.98 (assume @p361 (forall @t237 (or @t341 @t336 @t230))) % 0.48/0.98 (assume @p362 (forall @t238 (or @t335 (not @t341) @t230))) % 0.48/0.98 (assume @p363 (forall (@list @t1 @t22 @t32 @t24) (or @t174 @t153 (not (tptp.c_lessequals @t124 (tptp.c_HOL_Otimes__class_Otimes @t32 @t126 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t32 @t132 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p364 (tptp.c_HOL_Oord__class_Oless @t132 @t342 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p365 (tptp.c_HOL_Oord__class_Oless @t132 @t343 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p366 (forall @t346 (or (tptp.c_lessequals @t345 @t343 tptp.tc_RealDef_Oreal) @t344))) % 0.48/0.98 (assume @p367 (forall @t346 (or (tptp.c_lessequals @t345 tptp.v_m____ tptp.tc_RealDef_Oreal) @t344))) % 0.48/0.98 (assume @p368 (forall @t346 (or (tptp.c_lessequals @t345 @t342 tptp.tc_RealDef_Oreal) @t344))) % 0.48/0.98 (assume @p369 (forall @t17 (or @t347 @t81 @t86))) % 0.48/0.98 (assume @p370 (forall @t28 (or @t350 @t251 @t349))) % 0.48/0.98 (assume @p371 (forall (@list @t242 @t110) (or @t352 @t351))) % 0.48/0.98 (assume @p372 (forall @t155 (or @t350 @t353 @t240))) % 0.48/0.98 (assume @p373 (forall @t155 (or @t354 @t349 @t251))) % 0.48/0.98 (assume @p374 (forall @t57 (or @t354 @t86 @t81))) % 0.48/0.98 (assume @p375 (forall @t113 (or @t347 (tptp.c_lessequals @t110 @t22 @t1) @t356 @t355))) % 0.48/0.98 (assume @p376 (forall @t113 (or @t347 @t357 @t356 @t349))) % 0.48/0.98 (assume @p377 (forall @t113 (or @t347 @t357 @t358 @t355))) % 0.48/0.98 (assume @p378 (forall @t360 (or @t354 (tptp.c_lessequals @t22 @t110 @t1) @t359 @t241))) % 0.48/0.98 (assume @p379 (forall @t360 (or @t354 @t361 @t359 @t251))) % 0.48/0.98 (assume @p380 (forall @t360 (or @t354 @t361 @t362 @t241))) % 0.48/0.98 (assume @p381 (forall (@list @t242) (tptp.c_lessequals @t242 @t242 tptp.tc_RealDef_Oreal))) % 0.48/0.98 (assume @p382 (forall (@list @t364 @t365 @t363) (or (tptp.c_lessequals @t364 @t365 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t363 @t365 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t364 @t363 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p383 (forall @t169 (or @t347 @t366))) % 0.48/0.98 (assume @p384 (forall @t169 (or @t354 @t366))) % 0.48/0.98 (assume @p385 (forall @t28 (or @t354 @t240 @t251))) % 0.48/0.98 (assume @p386 (forall @t228 (or @t335 @t224))) % 0.48/0.98 (assume @p387 (forall @t28 (or @t347 @t240 @t251))) % 0.48/0.98 (assume @p388 (forall @t28 (or @t354 @t250 @t353 @t241))) % 0.48/0.98 (assume @p389 (forall @t169 (or @t354 @t368))) % 0.48/0.98 (assume @p390 (forall @t217 (not (tptp.c_HOL_Oord__class_Oless @t22 @t22 tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p391 (forall @t169 (or @t347 @t368))) % 0.48/0.98 (assume @p392 (forall @t169 (or @t350 @t368))) % 0.48/0.98 (assume @p393 (forall @t158 (or @t174 (= @t369 @t132)))) % 0.48/0.98 (assume @p394 (forall @t169 (or @t174 (tptp.c_lessequals @t132 @t124 tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p395 (forall @t57 (or @t347 @t85 @t131 @t94))) % 0.48/0.98 (assume @p396 (forall @t57 (or @t347 @t85 @t94 @t131))) % 0.48/0.98 (assume @p397 (forall @t28 (or @t350 @t229 @t250 @t241))) % 0.48/0.98 (assume @p398 (forall @t28 (or @t350 @t229 @t241 @t250))) % 0.48/0.98 (assume @p399 (forall @t17 (or @t347 @t80 @t100 @t131))) % 0.48/0.98 (assume @p400 (forall @t17 (or @t347 @t80 @t131 @t100))) % 0.48/0.98 (assume @p401 (forall @t228 (or @t223 @t229 @t336))) % 0.48/0.98 (assume @p402 (forall @t28 (or @t347 @t229 @t250 @t241))) % 0.48/0.98 (assume @p403 (forall @t28 (or @t347 @t250 @t229 @t241))) % 0.48/0.98 (assume @p404 (forall @t372 (or @t371 @t370 @t131))) % 0.48/0.98 (assume @p405 (forall @t372 (or @t371 @t370 (= @t118 @t303)))) % 0.48/0.98 (assume @p406 (forall @t169 (or @t174 (tptp.c_HOL_Oord__class_Oless @t132 @t124 tptp.tc_RealDef_Oreal) @t153))) % 0.48/0.98 (assume @p407 (forall @t155 (or @t8 @t348 @t250 @t229))) % 0.48/0.98 (assume @p408 (forall @t28 (or @t350 @t229 @t348 @t250))) % 0.48/0.98 (assume @p409 (forall @t28 (or @t350 @t229 @t250 @t348))) % 0.48/0.98 (assume @p410 (forall @t155 (or @t350 @t348 @t229 @t250))) % 0.48/0.98 (assume @p411 (forall @t28 (or @t347 @t229 @t241 @t355))) % 0.48/0.98 (assume @p412 (forall @t28 (or @t347 @t229 @t355 @t241))) % 0.48/0.98 (assume @p413 (forall @t155 (or @t350 @t348 @t250 @t229))) % 0.48/0.98 (assume @p414 (forall @t280 (or (= @t110 @t242) (not @t352) (not @t351)))) % 0.48/0.98 (assume @p415 (forall @t158 (or @t174 (not (tptp.c_HOL_Oord__class_Oless @t132 @t369 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p416 (forall @t169 (or @t174 (not (= @t124 @t132)) @t153))) % 0.48/0.98 (assume @p417 (forall @t158 (or @t174 (tptp.c_lessequals @t369 @t132 tptp.tc_RealDef_Oreal)))) % 0.48/0.98 (assume @p418 (forall @t169 (or @t174 @t153 (not (tptp.c_lessequals @t124 @t132 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p419 (forall @t169 (or @t174 (not (tptp.c_HOL_Oord__class_Oless @t124 @t132 tptp.tc_RealDef_Oreal))))) % 0.48/0.98 (assume @p420 (forall @t113 (or @t347 @t357 @t358 @t349))) % 0.48/0.98 (assume @p421 (forall @t360 (or @t354 @t361 @t362 @t251))) % 0.48/0.98 (assume @p422 (forall @t155 (or @t354 @t355 @t251))) % 0.48/0.98 (assume @p423 (forall @t28 (or @t350 @t250 @t353))) % 0.48/0.98 (assume @p424 (forall @t169 (or @t350 (not @t366) @t368))) % 0.48/0.98 (assume @p425 (forall @t169 (or @t350 @t367 @t366))) % 0.48/0.98 (assume @p426 (forall @t28 (or @t350 @t251 @t355))) % 0.48/0.98 (assume @p427 (forall @t155 (or @t350 @t353 @t250))) % 0.48/0.98 (assume @p428 (forall @t155 (or @t350 @t348 @t240))) % 0.48/0.98 (assume @p429 (forall @t28 (or @t350 @t241 @t349))) % 0.48/0.98 (assume @p430 @t375) % 0.48/0.98 (assume @p431 @t376) % 0.48/0.98 (assume @p432 (forall @t220 (or (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t378 tptp.tc_Complex_Ocomplex) tptp.v_r tptp.tc_RealDef_Oreal) @t377))) % 0.48/0.98 (assume @p433 (forall @t220 (or (not (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_Polynomial_Opoly @t374 @t378 tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t219 tptp.tc_RealDef_Oreal)) @t377))) % 0.48/0.98 (assume @p434 (forall @t382 (or (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t381) @t380))) % 0.48/0.98 (assume @p435 (forall @t382 (or (tptp.class_Ring__and__Field_Ocomm__ring__1 @t381) @t383))) % 0.48/0.98 (assume @p436 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p437 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p438 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p439 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p440 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p441 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p442 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p443 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p444 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p445 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p446 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p447 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p448 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p449 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p450 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p451 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p452 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p453 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p454 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p455 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p456 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p457 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p458 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p459 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p460 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p461 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p462 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p463 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p464 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p465 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p466 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p467 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p468 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p469 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p470 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p471 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p472 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p473 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p474 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p475 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p476 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p477 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p478 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p479 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p480 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p481 (tptp.class_Ring__and__Field_Osgn__if tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p482 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p483 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p484 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p485 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p486 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p487 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p488 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p489 (tptp.class_HOL_Ozero tptp.tc_RealDef_Oreal)) % 0.48/0.98 (assume @p490 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p491 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p492 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p493 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p494 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p495 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p496 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p497 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p498 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p499 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p500 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p501 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p502 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p503 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p504 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p505 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p506 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p507 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p508 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p509 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p510 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p511 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p512 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p513 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p514 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p515 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p516 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p517 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex)) % 0.48/0.98 (assume @p518 (forall @t382 (or (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t381) @t384))) % 0.48/0.98 (assume @p519 (forall @t382 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t381) @t384))) % 0.48/0.98 (assume @p520 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t381) @t384))) % 0.48/0.98 (assume @p521 (forall @t382 (or (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t381) @t384))) % 0.48/0.98 (assume @p522 (forall @t382 (or (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t381) @t385))) % 0.48/0.98 (assume @p523 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__semiring__strict @t381) @t384))) % 0.48/0.98 (assume @p524 (forall @t382 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t381) @t384))) % 0.48/0.98 (assume @p525 (forall @t382 (or (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t381) @t384))) % 0.48/0.98 (assume @p526 (forall @t382 (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t381) @t385))) % 0.48/0.98 (assume @p527 (forall @t382 (or (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t381) @t380))) % 0.48/0.98 (assume @p528 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__ring__strict @t381) @t384))) % 0.48/0.98 (assume @p529 (forall @t382 (or (tptp.class_OrderedGroup_Opordered__ab__group__add @t381) @t384))) % 0.48/0.98 (assume @p530 (forall @t382 (or (tptp.class_OrderedGroup_Ocancel__semigroup__add @t381) @t380))) % 0.48/0.98 (assume @p531 (forall @t382 (or (tptp.class_Ring__and__Field_Opordered__semiring @t381) @t384))) % 0.48/0.98 (assume @p532 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__semiring @t381) @t384))) % 0.48/0.98 (assume @p533 (forall @t382 (or (tptp.class_Ring__and__Field_Ono__zero__divisors @t381) @t385))) % 0.48/0.98 (assume @p534 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__semidom @t381) @t384))) % 0.48/0.98 (assume @p535 (forall @t382 (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t381) @t386))) % 0.48/0.98 (assume @p536 (forall @t382 (or (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t381) @t387))) % 0.48/0.98 (assume @p537 (forall @t382 (or (tptp.class_OrderedGroup_Oab__semigroup__mult @t381) @t387))) % 0.48/0.98 (assume @p538 (forall @t382 (or (tptp.class_OrderedGroup_Ocomm__monoid__mult @t381) @t386))) % 0.48/0.98 (assume @p539 (forall @t382 (or (tptp.class_OrderedGroup_Oab__semigroup__add @t381) @t388))) % 0.48/0.98 (assume @p540 (forall @t382 (or (tptp.class_Ring__and__Field_Opordered__ring @t381) @t384))) % 0.48/0.98 (assume @p541 (forall @t382 (or (tptp.class_Ring__and__Field_Ocomm__semiring @t381) @t387))) % 0.48/0.98 (assume @p542 (forall @t382 (or (tptp.class_OrderedGroup_Ocomm__monoid__add @t381) @t388))) % 0.48/0.98 (assume @p543 (forall @t382 (or (tptp.class_Ring__and__Field_Ozero__neq__one @t381) @t386))) % 0.48/0.98 (assume @p544 (forall @t382 (or (tptp.class_Ring__and__Field_Oordered__idom @t381) @t384))) % 0.48/0.98 (assume @p545 (forall @t382 (or (tptp.class_Ring__and__Field_Omult__mono1 @t381) @t384))) % 0.48/0.98 (assume @p546 (forall @t382 (or (tptp.class_OrderedGroup_Oab__group__add @t381) (not (tptp.class_OrderedGroup_Oab__group__add @t379))))) % 0.48/0.98 (assume @p547 (forall @t382 (or (tptp.class_Ring__and__Field_Omult__zero @t381) @t387))) % 0.48/0.98 (assume @p548 (forall @t382 (or (tptp.class_Ring__and__Field_Omult__mono @t381) @t384))) % 0.48/0.98 (assume @p549 (forall @t382 (or (tptp.class_OrderedGroup_Omonoid__mult @t381) @t386))) % 0.48/0.98 (assume @p550 (forall @t382 (or (tptp.class_Ring__and__Field_Osemiring @t381) @t387))) % 0.48/0.98 (assume @p551 (forall @t382 (or (tptp.class_OrderedGroup_Omonoid__add @t381) @t388))) % 0.48/0.98 (assume @p552 (forall @t382 (or (tptp.class_Ring__and__Field_Osgn__if @t381) @t384))) % 0.48/0.98 (assume @p553 (forall @t382 (or (tptp.class_Ring__and__Field_Oidom @t381) @t385))) % 0.48/0.98 (assume @p554 (forall @t382 (or (tptp.class_Orderings_Opreorder @t381) @t384))) % 0.48/0.98 (assume @p555 (forall @t382 (or (tptp.class_Orderings_Olinorder @t381) @t384))) % 0.48/0.98 (assume @p556 (forall @t382 (or (tptp.class_Orderings_Oorder @t381) @t384))) % 0.48/0.98 (assume @p557 (forall @t382 (or (tptp.class_Int_Onumber__ring @t381) @t383))) % 0.48/0.98 (assume @p558 (forall @t382 (or (tptp.class_Power_Opower @t381) @t386))) % 0.48/0.98 (assume @p559 (forall @t382 (or (tptp.class_HOL_Ozero @t381) (not (tptp.class_HOL_Ozero @t379))))) % 0.48/0.98 (step @p560 :rule instantiate :premises (@p432) :args (@t389)) % 0.48/0.98 (step @p561 :rule cnf_or_pos :args (@t393)) % 0.48/0.98 (step @p562 :rule reordering :premises (@p561) :args ((or @t390 @t392 (not @t393)))) % 0.48/0.98 (step @p563 :rule chain_m_resolution :premises (@p562 @p431 @p560) :args (@t392 @t394 (@list @t376 @t393))) % 0.48/0.98 (step @p564 :rule instantiate :premises (@p433) :args (@t389)) % 0.48/0.98 (step @p565 :rule cnf_or_pos :args (@t397)) % 0.48/0.98 (step @p566 :rule reordering :premises (@p565) :args ((or @t390 @t396 (not @t397)))) % 0.48/0.98 (step @p567 :rule chain_m_resolution :premises (@p566 @p431 @p564) :args (@t396 @t394 (@list @t376 @t397))) % 0.48/0.98 (step @p568 :rule cnf_or_pos :args (@t399)) % 0.48/0.98 (step @p569 :rule reordering :premises (@p568) :args ((or @t395 @t398 @t400))) % 0.48/0.98 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p563) :args (@t400 @t401 (@list @t395 @t392))) % 0.48/0.98 (assume-push @p577 @t375) % 0.48/0.98 (step @p572 :rule instantiate :premises (@p430) :args ((@list @t391))) % 0.48/0.98 (step-pop @p578 :rule scope :premises (@p572)) % 0.48/0.98 (step @p573 :rule process_scope :premises (@p578) :args (@t399)) % 0.48/0.98 (step @p575 :rule implies_elim :premises (@p573)) % 0.48/0.98 (step @p576 false :rule chain_m_resolution :premises (@p575 @p570 @p430) :args (false @t401 (@list @t399 @t375))) % 0.48/0.98 ) % 0.48/0.98 % SZS output end Proof % 0.48/0.99 % cvc5 exiting %------------------------------------------------------------------------------