%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG363-1 : 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 : n001.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 08:05:50 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.96s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG363-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.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 02:09:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.96 % SZS status Unsatisfiable % 0.50/0.96 % SZS output start Proof % 0.50/0.98 ( % 0.50/0.98 (declare-sort $$unsorted 0) % 0.50/0.98 (declare-const tptp.v_f____ (-> $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.v_s (-> $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_SEQ_Obanach (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.c_HOL_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.c_Transcendental_Oexp (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.c_Transcendental_Osin (-> $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.v_r $$unsorted) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Odivision__ring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.50/0.98 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.50/0.98 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.98 (declare-const tptp.c_HOL_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.c_Transcendental_Ocos (-> $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.50/0.99 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Osgn__if (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.v_x $$unsorted) % 0.50/0.99 (declare-const tptp.c_Complex_ORe (-> $$unsorted $$unsorted)) % 0.50/0.99 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.50/0.99 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 0.50/0.99 (define @t1 () (@var "T_a" $$unsorted)) % 0.50/0.99 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.50/0.99 (define @t3 () (@var "V_a" $$unsorted)) % 0.50/0.99 (define @t4 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 0.50/0.99 (define @t5 () (not @t4)) % 0.50/0.99 (define @t6 () (@var "V_b" $$unsorted)) % 0.50/0.99 (define @t7 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.50/0.99 (define @t8 () (not @t7)) % 0.50/0.99 (define @t9 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t6 @t1)) % 0.50/0.99 (define @t10 () (tptp.c_HOL_Oord__class_Oless @t9 @t2 @t1)) % 0.50/0.99 (define @t11 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.50/0.99 (define @t12 () (@list @t1 @t3 @t6)) % 0.50/0.99 (define @t13 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t3 @t1)) % 0.50/0.99 (define @t14 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 0.50/0.99 (define @t15 () (not @t14)) % 0.50/0.99 (define @t16 () (@list @t1 @t6 @t3)) % 0.50/0.99 (define @t17 () (tptp.c_HOL_Oord__class_Oless @t2 @t9 @t1)) % 0.50/0.99 (define @t18 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1))) % 0.50/0.99 (define @t19 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.50/0.99 (define @t20 () (tptp.c_HOL_Osgn__class_Osgn @t3 @t1)) % 0.50/0.99 (define @t21 () (tptp.c_HOL_Oord__class_Oless @t2 @t20 @t1)) % 0.50/0.99 (define @t22 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.50/0.99 (define @t23 () (@list @t1 @t3)) % 0.50/0.99 (define @t24 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 0.50/0.99 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t24 @t2 @t1)) % 0.50/0.99 (define @t26 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.50/0.99 (define @t27 () (tptp.c_HOL_Oinverse__class_Oinverse @t3 @t1)) % 0.50/0.99 (define @t28 () (tptp.c_HOL_Oord__class_Oless @t27 @t2 @t1)) % 0.50/0.99 (define @t29 () (not @t28)) % 0.50/0.99 (define @t30 () (= @t3 @t2)) % 0.50/0.99 (define @t31 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 0.50/0.99 (define @t32 () (@var "V_c" $$unsorted)) % 0.50/0.99 (define @t33 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t6 @t1)) % 0.50/0.99 (define @t34 () (tptp.c_HOL_Otimes__class_Otimes @t32 @t3 @t1)) % 0.50/0.99 (define @t35 () (tptp.c_HOL_Oord__class_Oless @t34 @t33 @t1)) % 0.50/0.99 (define @t36 () (not @t35)) % 0.50/0.99 (define @t37 () (tptp.c_HOL_Oord__class_Oless @t2 @t32 @t1)) % 0.50/0.99 (define @t38 () (tptp.c_HOL_Oord__class_Oless @t32 @t2 @t1)) % 0.50/0.99 (define @t39 () (@list @t1 @t32 @t3 @t6)) % 0.50/0.99 (define @t40 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t32 @t1)) % 0.50/0.99 (define @t41 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t32 @t1)) % 0.50/0.99 (define @t42 () (tptp.c_HOL_Oord__class_Oless @t41 @t40 @t1)) % 0.50/0.99 (define @t43 () (not @t42)) % 0.50/0.99 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t20 @t2 @t1)) % 0.50/0.99 (define @t45 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1)) % 0.50/0.99 (define @t46 () (tptp.c_HOL_Oord__class_Oless @t2 @t27 @t1)) % 0.50/0.99 (define @t47 () (not @t46)) % 0.50/0.99 (define @t48 () (tptp.c_HOL_Oinverse__class_Oinverse @t6 @t1)) % 0.50/0.99 (define @t49 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t48 @t1))) % 0.50/0.99 (define @t50 () (tptp.c_HOL_Oord__class_Oless @t6 @t3 @t1)) % 0.50/0.99 (define @t51 () (tptp.c_HOL_Oord__class_Oless @t3 @t6 @t1)) % 0.50/0.99 (define @t52 () (not @t51)) % 0.50/0.99 (define @t53 () (tptp.c_HOL_Oord__class_Oless @t48 @t27 @t1)) % 0.50/0.99 (define @t54 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 0.50/0.99 (define @t55 () (@list @t1 @t6 @t3 @t32)) % 0.50/0.99 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t2 @t24 @t1)) % 0.50/0.99 (define @t57 () (tptp.c_HOL_Oord__class_Oless @t3 @t24 @t1)) % 0.50/0.99 (define @t58 () (tptp.c_lessequals @t27 @t2 @t1)) % 0.50/0.99 (define @t59 () (tptp.c_lessequals @t3 @t2 @t1)) % 0.50/0.99 (define @t60 () (not @t59)) % 0.50/0.99 (define @t61 () (tptp.c_lessequals @t24 @t2 @t1)) % 0.50/0.99 (define @t62 () (tptp.c_lessequals @t2 @t3 @t1)) % 0.50/0.99 (define @t63 () (not @t62)) % 0.50/0.99 (define @t64 () (tptp.c_lessequals @t9 @t2 @t1)) % 0.50/0.99 (define @t65 () (not @t64)) % 0.50/0.99 (define @t66 () (tptp.c_lessequals @t2 @t6 @t1)) % 0.50/0.99 (define @t67 () (tptp.c_lessequals @t6 @t2 @t1)) % 0.50/0.99 (define @t68 () (tptp.c_lessequals @t3 @t6 @t1)) % 0.50/0.99 (define @t69 () (not @t68)) % 0.50/0.99 (define @t70 () (not (tptp.c_lessequals @t2 @t32 @t1))) % 0.50/0.99 (define @t71 () (tptp.c_lessequals @t34 @t33 @t1)) % 0.50/0.99 (define @t72 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.50/0.99 (define @t73 () (tptp.c_lessequals @t41 @t40 @t1)) % 0.50/0.99 (define @t74 () (@list @t1 @t3 @t32 @t6)) % 0.50/0.99 (define @t75 () (tptp.c_lessequals @t6 @t3 @t1)) % 0.50/0.99 (define @t76 () (not @t75)) % 0.50/0.99 (define @t77 () (not (tptp.c_lessequals @t32 @t2 @t1))) % 0.50/0.99 (define @t78 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.50/0.99 (define @t79 () (not @t66)) % 0.50/0.99 (define @t80 () (tptp.c_lessequals @t2 @t9 @t1)) % 0.50/0.99 (define @t81 () (not @t67)) % 0.50/0.99 (define @t82 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.50/0.99 (define @t83 () (not @t80)) % 0.50/0.99 (define @t84 () (@var "V_d" $$unsorted)) % 0.50/0.99 (define @t85 () (not (tptp.c_lessequals @t32 @t84 @t1))) % 0.50/0.99 (define @t86 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t84 @t1)) % 0.50/0.99 (define @t87 () (tptp.c_lessequals @t41 @t86 @t1)) % 0.50/0.99 (define @t88 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.50/0.99 (define @t89 () (@list @t1 @t3 @t32 @t6 @t84)) % 0.50/0.99 (define @t90 () (tptp.c_lessequals @t2 @t24 @t1)) % 0.50/0.99 (define @t91 () (tptp.c_lessequals @t2 @t27 @t1)) % 0.50/0.99 (define @t92 () (tptp.c_lessequals @t3 @t24 @t1)) % 0.50/0.99 (define @t93 () (not @t92)) % 0.50/0.99 (define @t94 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.50/0.99 (define @t95 () (tptp.c_lessequals @t24 @t3 @t1)) % 0.50/0.99 (define @t96 () (not @t95)) % 0.50/0.99 (define @t97 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 0.50/0.99 (define @t98 () (= (tptp.c_HOL_Oplus__class_Oplus @t24 @t3 @t1) @t2)) % 0.50/0.99 (define @t99 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.50/0.99 (define @t100 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.50/0.99 (define @t101 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t1)) % 0.50/0.99 (define @t102 () (@list @t1 @t6)) % 0.50/0.99 (define @t103 () (@var "V_r" $$unsorted)) % 0.50/0.99 (define @t104 () (= @t32 @t84)) % 0.50/0.99 (define @t105 () (@var "V_x" $$unsorted)) % 0.50/0.99 (define @t106 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.50/0.99 (define @t107 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.50/0.99 (define @t108 () (= @t105 @t2)) % 0.50/0.99 (define @t109 () (@var "V_y" $$unsorted)) % 0.50/0.99 (define @t110 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t105 @t1)) % 0.50/0.99 (define @t111 () (tptp.c_HOL_Oplus__class_Oplus @t110 (tptp.c_HOL_Otimes__class_Otimes @t109 @t109 @t1) @t1)) % 0.50/0.99 (define @t112 () (not (= @t111 @t2))) % 0.50/0.99 (define @t113 () (@list @t1 @t105 @t109)) % 0.50/0.99 (define @t114 () (= @t109 @t2)) % 0.50/0.99 (define @t115 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t6 @t1)) % 0.50/0.99 (define @t116 () (not (= @t115 @t2))) % 0.50/0.99 (define @t117 () (= @t3 @t101)) % 0.50/0.99 (define @t118 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 0.50/0.99 (define @t119 () (tptp.c_HOL_Oplus__class_Oplus @t118 @t118 @t1)) % 0.50/0.99 (define @t120 () (@list @t1)) % 0.50/0.99 (define @t121 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.50/0.99 (define @t122 () (not (tptp.class_RealVector_Oreal__normed__field @t1))) % 0.50/0.99 (define @t123 () (not (tptp.class_SEQ_Obanach @t1))) % 0.50/0.99 (define @t124 () (@var "V_m" $$unsorted)) % 0.50/0.99 (define @t125 () (@var "V_n" $$unsorted)) % 0.50/0.99 (define @t126 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.50/0.99 (define @t127 () (tptp.c_HOL_Oinverse__class_Oinverse @t105 @t1)) % 0.50/0.99 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t121 @t127 @t1)) % 0.50/0.99 (define @t129 () (not @t128)) % 0.50/0.99 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t105 @t121 @t1)) % 0.50/0.99 (define @t131 () (@list @t1 @t105)) % 0.50/0.99 (define @t132 () (tptp.c_HOL_Oord__class_Oless @t121 @t105 @t1)) % 0.50/0.99 (define @t133 () (tptp.c_HOL_Oord__class_Oless @t127 @t121 @t1)) % 0.50/0.99 (define @t134 () (tptp.c_lessequals @t121 @t105 @t1)) % 0.50/0.99 (define @t135 () (tptp.c_lessequals @t127 @t121 @t1)) % 0.50/0.99 (define @t136 () (tptp.c_lessequals @t121 @t127 @t1)) % 0.50/0.99 (define @t137 () (not @t136)) % 0.50/0.99 (define @t138 () (tptp.c_lessequals @t105 @t121 @t1)) % 0.50/0.99 (define @t139 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t140 () (tptp.c_RealVector_Onorm__class_Onorm @t105 @t1)) % 0.50/0.99 (define @t141 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 0.50/0.99 (define @t142 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 0.50/0.99 (define @t143 () (tptp.c_HOL_Oplus__class_Oplus @t121 @t121 @t1)) % 0.50/0.99 (define @t144 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.50/0.99 (define @t145 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t121 @t1)) % 0.50/0.99 (define @t146 () (tptp.c_HOL_Otimes__class_Otimes @t145 @t124 @t1)) % 0.50/0.99 (define @t147 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t124 @t1)) % 0.50/0.99 (define @t148 () (tptp.c_HOL_Oabs__class_Oabs @t3 @t1)) % 0.50/0.99 (define @t149 () (= (tptp.c_HOL_Oabs__class_Oabs @t27 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t148 @t1))) % 0.50/0.99 (define @t150 () (tptp.c_HOL_Oabs__class_Oabs @t6 @t1)) % 0.50/0.99 (define @t151 () (tptp.c_HOL_Otimes__class_Otimes @t148 @t150 @t1)) % 0.50/0.99 (define @t152 () (@list @t1 @t3 @t6 @t32 @t84)) % 0.50/0.99 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t148 @t6 @t1)) % 0.50/0.99 (define @t154 () (not @t153)) % 0.50/0.99 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t24 @t6 @t1)) % 0.50/0.99 (define @t156 () (not @t155)) % 0.50/0.99 (define @t157 () (tptp.c_HOL_Oabs__class_Oabs @t9 @t1)) % 0.50/0.99 (define @t158 () (tptp.c_lessequals @t148 @t6 @t1)) % 0.50/0.99 (define @t159 () (not @t158)) % 0.50/0.99 (define @t160 () (tptp.c_lessequals @t24 @t6 @t1)) % 0.50/0.99 (define @t161 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.50/0.99 (define @t162 () (not @t160)) % 0.50/0.99 (define @t163 () (tptp.c_Transcendental_Oexp @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t164 () (@list @t105)) % 0.50/0.99 (define @t165 () (not @t37)) % 0.50/0.99 (define @t166 () (not @t38)) % 0.50/0.99 (define @t167 () (not @t50)) % 0.50/0.99 (define @t168 () (@list @t1 @t3 @t6 @t32)) % 0.50/0.99 (define @t169 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t170 () (tptp.c_Transcendental_Ocos @t105)) % 0.50/0.99 (define @t171 () (tptp.c_HOL_Oabs__class_Oabs @t170 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t172 () (tptp.c_Transcendental_Osin @t105)) % 0.50/0.99 (define @t173 () (= @t172 @t139)) % 0.50/0.99 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t139 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t175 () (not @t174)) % 0.50/0.99 (define @t176 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t109 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t177 () (tptp.c_Transcendental_Oln @t109)) % 0.50/0.99 (define @t178 () (tptp.c_Transcendental_Oln @t105)) % 0.50/0.99 (define @t179 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t180 () (@list @t105 @t109)) % 0.50/0.99 (define @t181 () (= @t105 @t139)) % 0.50/0.99 (define @t182 () (tptp.c_HOL_Ouminus__class_Ouminus @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t183 () (tptp.c_HOL_Osgn__class_Osgn @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t184 () (not (tptp.c_lessequals @t32 @t139 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t185 () (tptp.c_RealVector_Onorm__class_Onorm @t109 @t1)) % 0.50/0.99 (define @t186 () (tptp.c_HOL_Osgn__class_Osgn @t105 @t1)) % 0.50/0.99 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t109 @t1)) % 0.50/0.99 (define @t188 () (not (tptp.class_RealVector_Oreal__normed__div__algebra @t1))) % 0.50/0.99 (define @t189 () (tptp.c_Transcendental_Oexp @t105 @t1)) % 0.50/0.99 (define @t190 () (tptp.c_HOL_Ouminus__class_Ouminus @t105 @t1)) % 0.50/0.99 (define @t191 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t101 @t1)) % 0.50/0.99 (define @t192 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t6 @t1)) % 0.50/0.99 (define @t193 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.50/0.99 (define @t194 () (tptp.c_HOL_Ouminus__class_Ouminus @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t195 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t24 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t27 @t1))) % 0.50/0.99 (define @t196 () (not (tptp.class_Ring__and__Field_Odivision__ring @t1))) % 0.50/0.99 (define @t197 () (tptp.c_HOL_Otimes__class_Otimes @t140 @t185 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t198 () (tptp.c_RealVector_Onorm__class_Onorm @t187 @t1)) % 0.50/0.99 (define @t199 () (tptp.c_RealVector_Onorm__class_Onorm @t105 tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (define @t200 () (tptp.c_HOL_Oplus__class_Oplus @t105 @t109 @t1)) % 0.50/0.99 (define @t201 () (tptp.c_Transcendental_Oexp @t200 @t1)) % 0.50/0.99 (define @t202 () (tptp.c_HOL_Otimes__class_Otimes @t189 (tptp.c_Transcendental_Oexp @t109 @t1) @t1)) % 0.50/0.99 (define @t203 () (tptp.c_RealVector_Onorm__class_Onorm @t3 @t1)) % 0.50/0.99 (define @t204 () (= (tptp.c_RealVector_Onorm__class_Onorm @t27 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t203 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t205 () (@var "V_u" $$unsorted)) % 0.50/0.99 (define @t206 () (tptp.c_Transcendental_Oexp @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t207 () (= @t6 @t2)) % 0.50/0.99 (define @t208 () (tptp.c_HOL_Oinverse__class_Oinverse @t9 @t1)) % 0.50/0.99 (define @t209 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 0.50/0.99 (define @t210 () (= @t109 @t139)) % 0.50/0.99 (define @t211 () (tptp.c_HOL_Otimes__class_Otimes @t109 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t212 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t213 () (not (= @t212 (tptp.c_HOL_Ouminus__class_Ouminus @t211 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (define @t214 () (@var "V_k" $$unsorted)) % 0.50/0.99 (define @t215 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t6 @t1)) % 0.50/0.99 (define @t216 () (@var "V_xa" $$unsorted)) % 0.50/0.99 (define @t217 () (tptp.c_HOL_Otimes__class_Otimes @t216 @t105 @t1)) % 0.50/0.99 (define @t218 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.50/0.99 (define @t219 () (tptp.c_HOL_Ouminus__class_Ouminus @t9 @t1)) % 0.50/0.99 (define @t220 () (@var "V_z" $$unsorted)) % 0.50/0.99 (define @t221 () (@list @t1 @t105 @t109 @t220)) % 0.50/0.99 (define @t222 () (@var "V_z3" $$unsorted)) % 0.50/0.99 (define @t223 () (@var "V_z2" $$unsorted)) % 0.50/0.99 (define @t224 () (@var "V_z1" $$unsorted)) % 0.50/0.99 (define @t225 () (@var "V_ry" $$unsorted)) % 0.50/0.99 (define @t226 () (@var "V_lx" $$unsorted)) % 0.50/0.99 (define @t227 () (@var "V_rx" $$unsorted)) % 0.50/0.99 (define @t228 () (tptp.c_HOL_Otimes__class_Otimes @t227 @t225 @t1)) % 0.50/0.99 (define @t229 () (tptp.c_HOL_Otimes__class_Otimes @t226 @t228 @t1)) % 0.50/0.99 (define @t230 () (@list @t1 @t226 @t227 @t225)) % 0.50/0.99 (define @t231 () (tptp.c_HOL_Otimes__class_Otimes @t226 @t227 @t1)) % 0.50/0.99 (define @t232 () (@var "V_ly" $$unsorted)) % 0.50/0.99 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t226 @t232 @t1)) % 0.50/0.99 (define @t234 () (tptp.c_HOL_Otimes__class_Otimes @t233 @t227 @t1)) % 0.50/0.99 (define @t235 () (@list @t1 @t226 @t232 @t227)) % 0.50/0.99 (define @t236 () (tptp.c_HOL_Ouminus__class_Ouminus @t121 @t1)) % 0.50/0.99 (define @t237 () (not (tptp.c_HOL_Oord__class_Oless @t140 @t103 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t238 () (@var "V_s" $$unsorted)) % 0.50/0.99 (define @t239 () (not (tptp.c_HOL_Oord__class_Oless @t185 @t238 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t240 () (@list @t1 @t105 @t109 @t103 @t238)) % 0.50/0.99 (define @t241 () (= @t3 @t6)) % 0.50/0.99 (define @t242 () (not (= @t27 @t48))) % 0.50/0.99 (define @t243 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.50/0.99 (define @t244 () (= @t105 @t109)) % 0.50/0.99 (define @t245 () (= @t105 @t169)) % 0.50/0.99 (define @t246 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.50/0.99 (define @t247 () (tptp.c_HOL_Otimes__class_Otimes @t233 @t228 @t1)) % 0.50/0.99 (define @t248 () (@list @t1 @t226 @t232 @t227 @t225)) % 0.50/0.99 (define @t249 () (tptp.c_HOL_Oinverse__class_Oinverse @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t250 () (tptp.c_HOL_Oplus__class_Oplus @t105 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t251 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t27 @t1) @t3)) % 0.50/0.99 (define @t252 () (tptp.c_HOL_Otimes__class_Otimes @t109 @t105 @t1)) % 0.50/0.99 (define @t253 () (@var "V_w" $$unsorted)) % 0.50/0.99 (define @t254 () (@list @t220 @t253)) % 0.50/0.99 (define @t255 () (tptp.c_HOL_Ouminus__class_Ouminus @t101 @t1)) % 0.50/0.99 (define @t256 () (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t1)) % 0.50/0.99 (define @t257 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 0.50/0.99 (define @t258 () (= @t257 @t2)) % 0.50/0.99 (define @t259 () (not (= @t27 @t2))) % 0.50/0.99 (define @t260 () (tptp.c_HOL_Osgn__class_Osgn @t2 @t1)) % 0.50/0.99 (define @t261 () (= @t260 @t2)) % 0.50/0.99 (define @t262 () (not (tptp.class_Ring__and__Field_Osgn__if @t1))) % 0.50/0.99 (define @t263 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1) @t2)) % 0.50/0.99 (define @t264 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.50/0.99 (define @t265 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t6 @t1) @t2)) % 0.50/0.99 (define @t266 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t220 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t267 () (tptp.c_HOL_Otimes__class_Otimes @t109 @t220 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t268 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t220 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t268 @t267 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t105 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t271 () (@list @t105 @t109 @t220)) % 0.50/0.99 (define @t272 () (not @t270)) % 0.50/0.99 (define @t273 () (@list @t105 @t220 @t109)) % 0.50/0.99 (define @t274 () (tptp.c_HOL_Otimes__class_Otimes @t220 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t275 () (tptp.c_HOL_Otimes__class_Otimes @t220 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t276 () (@list @t220 @t105 @t109)) % 0.50/0.99 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t178 @t177 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t278 () (tptp.c_HOL_Otimes__class_Otimes @t139 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t279 () (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t1))) % 0.50/0.99 (define @t280 () (= (tptp.c_Transcendental_Oln @t169) @t139)) % 0.50/0.99 (define @t281 () (tptp.c_HOL_Oplus__class_Oplus @t212 @t211 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t282 () (not (= @t281 @t139))) % 0.50/0.99 (define @t283 () (tptp.c_Complex_ORe @t105)) % 0.50/0.99 (define @t284 () (tptp.c_HOL_Oabs__class_Oabs @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t285 () (tptp.c_lessequals @t284 @t103 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t286 () (not @t285)) % 0.50/0.99 (define @t287 () (tptp.c_HOL_Ouminus__class_Ouminus @t103 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t288 () (tptp.c_lessequals @t287 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t289 () (tptp.c_lessequals @t105 @t103 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t290 () (@list @t105 @t103)) % 0.50/0.99 (define @t291 () (not @t71)) % 0.50/0.99 (define @t292 () (not (tptp.c_HOL_Oord__class_Oless @t32 @t84 @t1))) % 0.50/0.99 (define @t293 () (tptp.c_HOL_Oord__class_Oless @t41 @t86 @t1)) % 0.50/0.99 (define @t294 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.50/0.99 (define @t295 () (not (tptp.c_lessequals @t27 @t48 @t1))) % 0.50/0.99 (define @t296 () (tptp.c_lessequals @t48 @t27 @t1)) % 0.50/0.99 (define @t297 () (tptp.c_HOL_Oord__class_Oless @t2 @t111 @t1)) % 0.50/0.99 (define @t298 () (not (tptp.c_lessequals @t111 @t2 @t1))) % 0.50/0.99 (define @t299 () (@list @t1 @t109 @t105)) % 0.50/0.99 (define @t300 () (tptp.c_lessequals @t3 @t101 @t1)) % 0.50/0.99 (define @t301 () (not @t300)) % 0.50/0.99 (define @t302 () (tptp.c_lessequals @t115 @t2 @t1)) % 0.50/0.99 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t2 @t105 @t1)) % 0.50/0.99 (define @t304 () (not @t303)) % 0.50/0.99 (define @t305 () (= @t20 @t121)) % 0.50/0.99 (define @t306 () (tptp.c_lessequals @t105 @t2 @t1)) % 0.50/0.99 (define @t307 () (not @t306)) % 0.50/0.99 (define @t308 () (not (tptp.c_lessequals @t2 @t105 @t1))) % 0.50/0.99 (define @t309 () (not (tptp.c_lessequals @t2 @t109 @t1))) % 0.50/0.99 (define @t310 () (not (tptp.c_lessequals @t109 @t121 @t1))) % 0.50/0.99 (define @t311 () (= @t148 @t24)) % 0.50/0.99 (define @t312 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.50/0.99 (define @t313 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.50/0.99 (define @t314 () (not (tptp.class_Ring__and__Field_Oabs__if @t1))) % 0.50/0.99 (define @t315 () (= @t157 @t151)) % 0.50/0.99 (define @t316 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 0.50/0.99 (define @t317 () (tptp.c_lessequals @t268 @t267 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t318 () (tptp.c_lessequals @t105 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t319 () (not @t318)) % 0.50/0.99 (define @t320 () (tptp.c_lessequals @t275 @t274 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t321 () (tptp.c_lessequals @t178 @t177 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t322 () (tptp.c_RealVector_Onorm__class_Onorm @t200 @t1)) % 0.50/0.99 (define @t323 () (tptp.c_lessequals @t169 @t163 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t324 () (tptp.c_lessequals @t139 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t325 () (not @t324)) % 0.50/0.99 (define @t326 () (tptp.c_lessequals @t163 @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t327 () (tptp.c_lessequals @t105 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t328 () (tptp.c_lessequals @t169 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t329 () (not @t328)) % 0.50/0.99 (define @t330 () (tptp.c_lessequals @t139 @t178 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t331 () (tptp.c_HOL_Oord__class_Oless @t169 @t163 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t332 () (tptp.c_HOL_Oord__class_Oless @t139 @t178 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t333 () (not @t332)) % 0.50/0.99 (define @t334 () (tptp.c_HOL_Oord__class_Oless @t169 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t335 () (not @t334)) % 0.50/0.99 (define @t336 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.50/0.99 (define @t337 () (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1) @t2)) % 0.50/0.99 (define @t338 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t2 @t1) @t2)) % 0.50/0.99 (define @t339 () (not (= @t9 @t2))) % 0.50/0.99 (define @t340 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.50/0.99 (define @t341 () (tptp.c_HOL_Oord__class_Oless @t101 @t24 @t1)) % 0.50/0.99 (define @t342 () (tptp.c_HOL_Oord__class_Oless @t101 @t3 @t1)) % 0.50/0.99 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t6 @t24 @t1)) % 0.50/0.99 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t3 @t101 @t1)) % 0.50/0.99 (define @t345 () (tptp.c_lessequals @t101 @t24 @t1)) % 0.50/0.99 (define @t346 () (tptp.c_lessequals @t101 @t3 @t1)) % 0.50/0.99 (define @t347 () (tptp.c_lessequals @t6 @t24 @t1)) % 0.50/0.99 (define @t348 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t48 @t1)) % 0.50/0.99 (define @t349 () (= (tptp.c_HOL_Otimes__class_Otimes @t27 @t3 @t1) @t121)) % 0.50/0.99 (define @t350 () (tptp.c_HOL_Ouminus__class_Ouminus @t115 @t1)) % 0.50/0.99 (define @t351 () (tptp.c_HOL_Oplus__class_Oplus @t109 @t220 @t1)) % 0.50/0.99 (define @t352 () (tptp.c_HOL_Ouminus__class_Ouminus @t220 @t1)) % 0.50/0.99 (define @t353 () (= @t109 @t220)) % 0.50/0.99 (define @t354 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t220 @t1)) % 0.50/0.99 (define @t355 () (= (tptp.c_HOL_Otimes__class_Otimes @t115 @t32 @t1) (tptp.c_HOL_Oplus__class_Oplus @t41 @t40 @t1))) % 0.50/0.99 (define @t356 () (tptp.c_HOL_Oplus__class_Oplus @t187 @t354 @t1)) % 0.50/0.99 (define @t357 () (@var "V_a_H" $$unsorted)) % 0.50/0.99 (define @t358 () (@var "V_ya" $$unsorted)) % 0.50/0.99 (define @t359 () (@var "V_b_H" $$unsorted)) % 0.50/0.99 (define @t360 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t32 @t1)) % 0.50/0.99 (define @t361 () (tptp.c_HOL_Otimes__class_Otimes @t105 @t84 @t1)) % 0.50/0.99 (define @t362 () (@var "V_e" $$unsorted)) % 0.50/0.99 (define @t363 () (tptp.c_HOL_Oplus__class_Oplus @t105 @t351 @t1)) % 0.50/0.99 (define @t364 () (= (tptp.c_HOL_Oinverse__class_Oinverse @t121 @t1) @t121)) % 0.50/0.99 (define @t365 () (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t121 @t1) @t3)) % 0.50/0.99 (define @t366 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.50/0.99 (define @t367 () (= (tptp.c_HOL_Otimes__class_Otimes @t121 @t3 @t1) @t3)) % 0.50/0.99 (define @t368 () (= @t32 @t139)) % 0.50/0.99 (define @t369 () (@var "V_x1" $$unsorted)) % 0.50/0.99 (define @t370 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t369 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t371 () (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t369 @t109 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t105 @t205 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.50/0.99 (define @t372 () (tptp.c_HOL_Oinverse__class_Oinverse @t369 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t373 () (= (tptp.c_Transcendental_Oexp @t178 tptp.tc_RealDef_Oreal) @t105)) % 0.50/0.99 (define @t374 () (tptp.c_lessequals @t163 @t206 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t375 () (tptp.c_HOL_Oord__class_Oless @t163 @t206 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t376 () (= @t20 @t236)) % 0.50/0.99 (define @t377 () (= @t183 @t169)) % 0.50/0.99 (define @t378 () (tptp.c_HOL_Oord__class_Oless @t105 @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t379 () (not @t378)) % 0.50/0.99 (define @t380 () (tptp.c_HOL_Oord__class_Oless @t178 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t381 () (tptp.c_HOL_Oord__class_Oless @t163 @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t382 () (tptp.c_HOL_Oord__class_Oless @t105 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t383 () (tptp.c_lessequals @t194 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t384 () (tptp.c_lessequals @t139 @t250 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t385 () (tptp.c_lessequals @t109 @t194 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t386 () (tptp.c_lessequals @t250 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t387 () (@list @t109 @t105)) % 0.50/0.99 (define @t388 () (tptp.c_HOL_Oord__class_Oless @t139 @t281 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t389 () (tptp.c_HOL_Oord__class_Oless @t139 @t250 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t194 @t109 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t391 () (@var "V_S" $$unsorted)) % 0.50/0.99 (define @t392 () (@var "V_W" $$unsorted)) % 0.50/0.99 (define @t393 () (tptp.c_HOL_Oord__class_Oless @t392 @t391 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t394 () (tptp.c_HOL_Oord__class_Oless @t139 (tptp.c_HOL_Oplus__class_Oplus @t391 (tptp.c_HOL_Ouminus__class_Ouminus @t392 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t395 () (tptp.c_HOL_Oord__class_Oless @t250 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t396 () (tptp.c_HOL_Oord__class_Oless @t109 @t194 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t397 () (tptp.c_HOL_Oord__class_Oless @t103 @t139 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t398 () (tptp.c_HOL_Oabs__class_Oabs @t103 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t399 () (@list @t103)) % 0.50/0.99 (define @t400 () (tptp.c_HOL_Ouminus__class_Ouminus @t124 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t401 () (@var "V_l" $$unsorted)) % 0.50/0.99 (define @t402 () (tptp.c_HOL_Ouminus__class_Ouminus @t401 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t403 () (tptp.v_s @t125)) % 0.50/0.99 (define @t404 () (@list @t125)) % 0.50/0.99 (define @t405 () (not @t330)) % 0.50/0.99 (define @t406 () (tptp.c_HOL_Oplus__class_Oplus @t169 @t105 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t407 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t3 @t1)) % 0.50/0.99 (define @t408 () (tptp.c_lessequals @t2 @t407 @t1)) % 0.50/0.99 (define @t409 () (not (tptp.c_lessequals @t6 @t32 @t1))) % 0.50/0.99 (define @t410 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t32 @t1)) % 0.50/0.99 (define @t411 () (tptp.c_HOL_Oord__class_Oless @t6 @t410 @t1)) % 0.50/0.99 (define @t412 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.50/0.99 (define @t413 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.50/0.99 (define @t414 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t3 @t1)) % 0.50/0.99 (define @t415 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t3 @t1)) % 0.50/0.99 (define @t416 () (tptp.c_HOL_Oord__class_Oless @t105 @t105 @t1)) % 0.50/0.99 (define @t417 () (not @t416)) % 0.50/0.99 (define @t418 () (not (tptp.class_Orderings_Oorder @t1))) % 0.50/0.99 (define @t419 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.50/0.99 (define @t420 () (tptp.c_lessequals @t105 @t109 @t1)) % 0.50/0.99 (define @t421 () (not @t420)) % 0.50/0.99 (define @t422 () (tptp.c_lessequals @t109 @t105 @t1)) % 0.50/0.99 (define @t423 () (tptp.c_HOL_Oord__class_Oless @t105 @t109 @t1)) % 0.50/0.99 (define @t424 () (tptp.c_HOL_Oord__class_Oless @t2 @t115 @t1)) % 0.50/0.99 (define @t425 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.50/0.99 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t84 @t1)) % 0.50/0.99 (define @t427 () (tptp.c_HOL_Oord__class_Oless @t410 @t426 @t1)) % 0.50/0.99 (define @t428 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.50/0.99 (define @t429 () (not @t423)) % 0.50/0.99 (define @t430 () (tptp.c_lessequals @t407 @t2 @t1)) % 0.50/0.99 (define @t431 () (= @t148 @t3)) % 0.50/0.99 (define @t432 () (tptp.c_HOL_Oplus__class_Oplus @t148 @t150 @t1)) % 0.50/0.99 (define @t433 () (tptp.c_HOL_Oabs__class_Oabs @t2 @t1)) % 0.50/0.99 (define @t434 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t6 @t1)) % 0.50/0.99 (define @t435 () (tptp.c_HOL_Oord__class_Oless @t414 @t434 @t1)) % 0.50/0.99 (define @t436 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t32 @t1)) % 0.50/0.99 (define @t437 () (tptp.c_HOL_Oord__class_Oless @t410 @t436 @t1)) % 0.50/0.99 (define @t438 () (tptp.c_lessequals @t105 @t105 @t1)) % 0.50/0.99 (define @t439 () (@var "V_j" $$unsorted)) % 0.50/0.99 (define @t440 () (@var "V_i" $$unsorted)) % 0.50/0.99 (define @t441 () (not (tptp.c_HOL_Oord__class_Oless @t109 @t220 @t1))) % 0.50/0.99 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t105 @t220 @t1)) % 0.50/0.99 (define @t443 () (@list @t1 @t105 @t220 @t109)) % 0.50/0.99 (define @t444 () (not (tptp.c_lessequals @t109 @t220 @t1))) % 0.50/0.99 (define @t445 () (not @t422)) % 0.50/0.99 (define @t446 () (not (tptp.c_HOL_Oord__class_Oless @t220 @t109 @t1))) % 0.50/0.99 (define @t447 () (tptp.c_HOL_Oord__class_Oless @t220 @t105 @t1)) % 0.50/0.99 (define @t448 () (@list @t1 @t220 @t105 @t109)) % 0.50/0.99 (define @t449 () (tptp.c_HOL_Oord__class_Oless @t109 @t105 @t1)) % 0.50/0.99 (define @t450 () (not @t449)) % 0.50/0.99 (define @t451 () (not (tptp.c_lessequals @t220 @t109 @t1))) % 0.50/0.99 (define @t452 () (tptp.c_lessequals @t220 @t253 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t453 () (tptp.c_lessequals @t253 @t220 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t454 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.50/0.99 (define @t455 () (tptp.c_HOL_Oplus__class_Oplus @t105 @t220 @t1)) % 0.50/0.99 (define @t456 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.50/0.99 (define @t457 () (= @t139 @t169)) % 0.50/0.99 (define @t458 () (= @t6 @t32)) % 0.50/0.99 (define @t459 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.50/0.99 (define @t460 () (not (= @t115 @t410))) % 0.50/0.99 (define @t461 () (tptp.c_HOL_Oplus__class_Oplus @t32 @t84 @t1)) % 0.50/0.99 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t2 @t407 @t1)) % 0.50/0.99 (define @t463 () (forall @t16 (or @t418 @t50 @t241 @t76))) % 0.50/0.99 (define @t464 () (tptp.c_lessequals @t139 tptp.v_r tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t465 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_r @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t466 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t32 @t1))) % 0.50/0.99 (define @t467 () (tptp.c_lessequals @t410 @t436 @t1)) % 0.50/0.99 (define @t468 () (tptp.c_lessequals @t414 @t434 @t1)) % 0.50/0.99 (define @t469 () (tptp.c_HOL_Oord__class_Oless @t115 @t2 @t1)) % 0.50/0.99 (define @t470 () (tptp.c_HOL_Oord__class_Oless @t407 @t2 @t1)) % 0.50/0.99 (define @t471 () (not @t470)) % 0.50/0.99 (define @t472 () (not (= @t200 @t2))) % 0.50/0.99 (define @t473 () (or @t425 @t472 @t309 @t308 @t114)) % 0.50/0.99 (define @t474 () (forall @t113 @t473)) % 0.50/0.99 (define @t475 () (tptp.c_lessequals @t6 @t410 @t1)) % 0.50/0.99 (define @t476 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 0.50/0.99 (define @t477 () (not (tptp.c_lessequals @t2 @t2 @t1))) % 0.50/0.99 (define @t478 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t436 @t1)) % 0.50/0.99 (define @t479 () (tptp.c_HOL_Oplus__class_Oplus @t115 @t32 @t1)) % 0.50/0.99 (define @t480 () (= @t479 @t478)) % 0.50/0.99 (define @t481 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t461 @t1)) % 0.50/0.99 (define @t482 () (@list @t1 @t3 @t32 @t84)) % 0.50/0.99 (define @t483 () (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1) @t3)) % 0.50/0.99 (define @t484 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.50/0.99 (define @t485 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1) @t3)) % 0.50/0.99 (define @t486 () (tptp.c_HOL_Oord__class_Oless @t139 @t465 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t487 () (not @t486)) % 0.50/0.99 (define @t488 () (tptp.v_f____ tptp.v_x)) % 0.50/0.99 (define @t489 () (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Complex_ORe (tptp.v_s @t488)) tptp.tc_RealDef_Oreal) @t465 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t490 () (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t491 () (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t492 () (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t493 () (@list false)) % 0.50/0.99 (define @t494 () (tptp.c_lessequals @t139 @t465 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t495 () (not @t494)) % 0.50/0.99 (define @t496 () (not @t492)) % 0.50/0.99 (define @t497 () (or @t496 @t486 (= @t465 @t139) @t495)) % 0.50/0.99 (define @t498 () (= @t139 @t465)) % 0.50/0.99 (define @t499 () (or @t496 @t486 @t498 @t495)) % 0.50/0.99 (define @t500 () (@list tptp.tc_RealDef_Oreal tptp.v_r @t169)) % 0.50/0.99 (define @t501 () (tptp.c_lessequals @t139 @t169 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (define @t502 () (not @t491)) % 0.50/0.99 (define @t503 () (or @t502 @t501)) % 0.50/0.99 (define @t504 () (not @t464)) % 0.50/0.99 (define @t505 () (not @t501)) % 0.50/0.99 (define @t506 () (not @t490)) % 0.50/0.99 (define @t507 () (or @t506 @t494 @t505 @t504)) % 0.50/0.99 (define @t508 () (not @t498)) % 0.50/0.99 (define @t509 () (or @t506 @t508 @t505 @t504 @t457)) % 0.50/0.99 (assume @p1 (forall @t12 (or @t11 @t10 @t8 @t5))) % 0.50/0.99 (assume @p2 (forall @t16 (or @t11 @t7 @t15 (not (tptp.c_HOL_Oord__class_Oless @t2 @t13 @t1))))) % 0.50/0.99 (assume @p3 (forall @t16 (or @t11 @t7 @t15 (not @t17)))) % 0.50/0.99 (assume @p4 (forall @t12 (or @t11 @t17 @t8 @t15))) % 0.50/0.99 (assume @p5 (forall @t12 (or @t19 @t17 @t18 @t5))) % 0.50/0.99 (assume @p6 (forall @t23 (or @t22 @t21 @t15))) % 0.50/0.99 (assume @p7 (forall @t23 (or @t22 @t14 (not @t21)))) % 0.50/0.99 (assume @p8 (forall @t23 (or @t26 @t25 @t15))) % 0.50/0.99 (assume @p9 (forall @t23 (or @t26 @t14 (not @t25)))) % 0.50/0.99 (assume @p10 (forall @t12 (or @t11 @t10 @t18 @t15))) % 0.50/0.99 (assume @p11 (forall @t16 (or @t11 (tptp.c_HOL_Oord__class_Oless @t13 @t2 @t1) @t18 @t15))) % 0.50/0.99 (assume @p12 (forall @t23 (or @t31 @t4 @t30 @t29))) % 0.50/0.99 (assume @p13 (forall @t39 (or @t19 @t38 @t37 @t36))) % 0.50/0.99 (assume @p14 (forall @t39 (or @t19 @t38 @t37 @t43))) % 0.50/0.99 (assume @p15 (forall @t23 (or @t22 @t4 (not @t44)))) % 0.50/0.99 (assume @p16 (forall @t23 (or @t22 @t44 @t5))) % 0.50/0.99 (assume @p17 (forall @t23 (or @t19 (not (tptp.c_HOL_Oord__class_Oless @t45 @t2 @t1))))) % 0.50/0.99 (assume @p18 (forall @t23 (or @t31 @t14 @t30 @t47))) % 0.50/0.99 (assume @p19 (forall @t16 (or @t31 @t50 @t15 @t49))) % 0.50/0.99 (assume @p20 (forall @t16 (or @t31 @t53 @t15 @t52))) % 0.50/0.99 (assume @p21 (forall @t16 (or @t31 @t50 @t18 @t49))) % 0.50/0.99 (assume @p22 (forall @t16 (or @t31 @t53 @t18 @t52))) % 0.50/0.99 (assume @p23 (forall @t23 (or @t31 @t54 @t4 @t29))) % 0.50/0.99 (assume @p24 (forall @t23 (or @t31 @t54 @t28 @t5))) % 0.50/0.99 (assume @p25 (forall @t23 (or @t31 @t28 @t5))) % 0.50/0.99 (assume @p26 (forall @t55 (or @t19 @t50 @t37 @t36))) % 0.50/0.99 (assume @p27 (forall @t39 (or @t19 @t38 @t51 @t36))) % 0.50/0.99 (assume @p28 (forall @t55 (or @t19 @t50 @t37 @t43))) % 0.50/0.99 (assume @p29 (forall @t39 (or @t19 @t38 @t51 @t43))) % 0.50/0.99 (assume @p30 (forall @t23 (or @t26 @t4 (not @t56)))) % 0.50/0.99 (assume @p31 (forall @t23 (or @t26 @t56 @t5))) % 0.50/0.99 (assume @p32 (forall @t23 (or @t22 @t4 (not @t57)))) % 0.50/0.99 (assume @p33 (forall @t23 (or @t22 @t57 @t5))) % 0.50/0.99 (assume @p34 (forall @t23 (or @t31 @t54 @t59 (not @t58)))) % 0.50/0.99 (assume @p35 (forall @t23 (or @t31 @t54 @t58 @t60))) % 0.50/0.99 (assume @p36 (forall @t23 (or @t26 @t62 (not @t61)))) % 0.50/0.99 (assume @p37 (forall @t23 (or @t26 @t61 @t63))) % 0.50/0.99 (assume @p38 (forall @t12 (or @t19 @t59 @t62 @t65))) % 0.50/0.99 (assume @p39 (forall @t16 (or @t19 @t66 @t62 @t65))) % 0.50/0.99 (assume @p40 (forall @t12 (or @t19 @t59 @t67 @t65))) % 0.50/0.99 (assume @p41 (forall @t16 (or @t19 @t66 @t67 @t65))) % 0.50/0.99 (assume @p42 (forall @t39 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t71 @t70 @t69))) % 0.50/0.99 (assume @p43 (forall @t39 (or @t72 @t71 @t70 @t69))) % 0.50/0.99 (assume @p44 (forall @t74 (or @t72 @t73 @t70 @t69))) % 0.50/0.99 (assume @p45 (forall @t39 (or @t78 @t71 @t77 @t76))) % 0.50/0.99 (assume @p46 (forall @t74 (or @t78 @t73 @t77 @t76))) % 0.50/0.99 (assume @p47 (forall @t12 (or @t78 @t80 @t79 @t63))) % 0.50/0.99 (assume @p48 (forall @t12 (or @t78 @t80 @t81 @t60))) % 0.50/0.99 (assume @p49 (forall @t23 (or @t19 (tptp.c_lessequals @t2 @t45 @t1)))) % 0.50/0.99 (assume @p50 (forall @t12 (or @t19 @t80 @t79 @t63))) % 0.50/0.99 (assume @p51 (forall @t12 (or @t19 @t80 @t81 @t60))) % 0.50/0.99 (assume @p52 (forall @t12 (or @t82 @t80 @t79 @t63))) % 0.50/0.99 (assume @p53 (forall @t12 (or @t19 @t59 @t62 @t83))) % 0.50/0.99 (assume @p54 (forall @t16 (or @t19 @t67 @t62 @t83))) % 0.50/0.99 (assume @p55 (forall @t12 (or @t19 @t59 @t66 @t83))) % 0.50/0.99 (assume @p56 (forall @t16 (or @t19 @t67 @t66 @t83))) % 0.50/0.99 (assume @p57 (forall @t89 (or @t88 @t87 @t70 @t79 @t85 @t69))) % 0.50/0.99 (assume @p58 (forall @t89 (or @t88 @t87 @t70 @t63 @t85 @t69))) % 0.50/0.99 (assume @p59 (forall @t12 (or @t19 @t64 @t81 @t63))) % 0.50/0.99 (assume @p60 (forall @t12 (or @t19 @t64 @t79 @t60))) % 0.50/0.99 (assume @p61 (forall @t12 (or @t82 @t64 @t81 @t63))) % 0.50/0.99 (assume @p62 (forall @t12 (or @t82 @t64 @t79 @t60))) % 0.50/0.99 (assume @p63 (forall @t16 (or @t82 (tptp.c_lessequals @t13 @t2 @t1) @t81 @t63))) % 0.50/0.99 (assume @p64 (forall @t23 (or @t26 @t59 (not @t90)))) % 0.50/0.99 (assume @p65 (forall @t23 (or @t26 @t90 @t60))) % 0.50/0.99 (assume @p66 (forall @t23 (or @t31 @t54 @t62 (not @t91)))) % 0.50/0.99 (assume @p67 (forall @t23 (or @t31 @t54 @t91 @t63))) % 0.50/0.99 (assume @p68 (forall @t23 (or @t94 @t59 @t93))) % 0.50/0.99 (assume @p69 (forall @t23 (or @t94 @t92 @t60))) % 0.50/0.99 (assume @p70 (forall @t23 (or @t94 @t62 @t96))) % 0.50/0.99 (assume @p71 (forall @t23 (or @t94 @t95 @t63))) % 0.50/0.99 (assume @p72 (forall @t23 (or @t97 @t59 @t93))) % 0.50/0.99 (assume @p73 (forall @t23 (or @t97 @t92 @t60))) % 0.50/0.99 (assume @p74 (forall @t23 (or @t97 @t62 @t96))) % 0.50/0.99 (assume @p75 (forall @t23 (or @t97 @t95 @t63))) % 0.50/0.99 (assume @p76 (forall @t23 (or @t99 @t98))) % 0.50/0.99 (assume @p77 (forall @t23 (or @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t3 @t24 @t1) @t2)))) % 0.50/0.99 (assume @p78 (forall @t23 (or @t100 @t98))) % 0.50/0.99 (assume @p79 (forall @t102 (or @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t101 @t6 @t1) @t2)))) % 0.50/0.99 (assume @p80 (forall (@list @t1 @t105 @t103 @t32 @t84) (or @t107 @t106 (not (= (tptp.c_HOL_Oplus__class_Oplus @t105 (tptp.c_HOL_Otimes__class_Otimes @t103 @t32 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t105 (tptp.c_HOL_Otimes__class_Otimes @t103 @t84 @t1) @t1))) @t104 (= @t103 @t2)))) % 0.50/0.99 (assume @p81 (forall @t113 (or @t19 @t112 @t108))) % 0.50/0.99 (assume @p82 (forall @t113 (or @t19 @t112 @t114))) % 0.50/0.99 (assume @p83 (forall @t12 (or @t99 @t116 (= @t24 @t6)))) % 0.50/0.99 (assume @p84 (forall @t12 (or @t99 @t116 @t117))) % 0.50/0.99 (assume @p85 (forall @t120 (or @t19 (= @t119 @t2)))) % 0.50/0.99 (assume @p86 (forall @t120 (or @t123 @t122 (= (tptp.c_Transcendental_Oexp @t2 @t1) @t121)))) % 0.50/0.99 (assume @p87 (forall (@list @t1 @t124 @t125) (or @t126 (tptp.c_HOL_Oord__class_Oless @t121 (tptp.c_HOL_Otimes__class_Otimes @t124 @t125 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t121 @t125 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t121 @t124 @t1))))) % 0.50/0.99 (assume @p88 (forall @t131 (or @t31 @t54 @t130 @t129))) % 0.50/0.99 (assume @p89 (forall @t131 (or @t31 @t54 @t133 (not @t132)))) % 0.50/0.99 (assume @p90 (forall @t131 (or @t31 @t54 @t135 (not @t134)))) % 0.50/0.99 (assume @p91 (forall @t131 (or @t31 @t54 @t138 @t137))) % 0.50/0.99 (assume @p92 (forall @t131 (or @t141 (not (= @t140 @t139)) @t108))) % 0.50/0.99 (assume @p93 (forall @t120 (or @t141 (= @t142 @t139)))) % 0.50/0.99 (assume @p94 (forall (@list @t1 @t124) (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t124 @t124 @t1) (tptp.c_HOL_Otimes__class_Otimes @t143 @t124 @t1))))) % 0.50/0.99 (assume @p95 (forall (@list @t1 @t3 @t124) (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t147 @t124 @t1) @t146)))) % 0.50/0.99 (assume @p96 (forall (@list @t1 @t124 @t3) (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t124 @t147 @t1) @t146)))) % 0.50/0.99 (assume @p97 (forall @t23 (or @t31 @t149 @t30))) % 0.50/0.99 (assume @p98 (forall @t152 (or @t22 (tptp.c_HOL_Oord__class_Oless @t151 (tptp.c_HOL_Otimes__class_Otimes @t32 @t84 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t150 @t84 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t148 @t32 @t1))))) % 0.50/0.99 (assume @p99 (forall @t12 (or @t22 @t155 @t154))) % 0.50/0.99 (assume @p100 (forall @t12 (or @t22 @t153 @t156 @t52))) % 0.50/0.99 (assume @p101 (forall @t12 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t157 @t151 @t1)))) % 0.50/0.99 (assume @p102 (forall @t12 (or @t161 @t160 @t159))) % 0.50/0.99 (assume @p103 (forall @t12 (or @t161 @t158 @t162 @t69))) % 0.50/0.99 (assume @p104 (forall @t23 (or @t161 (tptp.c_lessequals @t24 @t148 @t1)))) % 0.50/0.99 (assume @p105 (forall @t164 (not (tptp.c_lessequals @t163 @t139 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p106 (forall @t23 (or @t31 @t46 @t15))) % 0.50/0.99 (assume @p107 (forall @t23 (or @t31 @t54 @t46 @t15))) % 0.50/0.99 (assume @p108 (forall @t23 (or @t31 @t54 @t14 @t47))) % 0.50/0.99 (assume @p109 (forall @t39 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t35 @t165 @t52))) % 0.50/0.99 (assume @p110 (forall @t74 (or @t19 @t42 @t167 @t166))) % 0.50/0.99 (assume @p111 (forall @t74 (or @t19 @t42 @t52 @t165))) % 0.50/0.99 (assume @p112 (forall @t74 (or @t11 @t42 @t165 @t52))) % 0.50/0.99 (assume @p113 (forall @t74 (or @t19 @t42 @t166 @t167))) % 0.50/0.99 (assume @p114 (forall @t39 (or @t19 @t35 @t167 @t166))) % 0.50/0.99 (assume @p115 (forall @t39 (or @t19 @t35 @t52 @t165))) % 0.50/0.99 (assume @p116 (forall @t39 (or @t11 @t35 @t165 @t52))) % 0.50/0.99 (assume @p117 (forall @t39 (or @t19 @t35 @t166 @t167))) % 0.50/0.99 (assume @p118 (forall @t168 (or @t19 @t51 @t36 @t165))) % 0.50/0.99 (assume @p119 (forall @t55 (or @t19 @t50 @t36 @t166))) % 0.50/0.99 (assume @p120 (forall @t164 (or (not @t173) (= @t171 @t169)))) % 0.50/0.99 (assume @p121 (forall @t180 (or (= (tptp.c_Transcendental_Oln @t179) (tptp.c_HOL_Oplus__class_Oplus @t178 @t177 tptp.tc_RealDef_Oreal)) @t176 @t175))) % 0.50/0.99 (assume @p122 (forall @t164 (or (= @t183 @t182) @t174 @t181))) % 0.50/0.99 (assume @p123 (forall (@list @t1 @t105 @t32 @t109) (or @t141 @t108 (not (tptp.c_lessequals @t140 (tptp.c_HOL_Otimes__class_Otimes @t32 @t185 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t184))) % 0.50/0.99 (assume @p124 (forall @t12 (or @t22 (= (tptp.c_HOL_Osgn__class_Osgn @t9 @t1) (tptp.c_HOL_Otimes__class_Otimes @t20 (tptp.c_HOL_Osgn__class_Osgn @t6 @t1) @t1))))) % 0.50/0.99 (assume @p125 (forall @t113 (or @t188 (= (tptp.c_HOL_Osgn__class_Osgn @t187 @t1) (tptp.c_HOL_Otimes__class_Otimes @t186 (tptp.c_HOL_Osgn__class_Osgn @t109 @t1) @t1))))) % 0.50/0.99 (assume @p126 (= (tptp.c_HOL_Otimes__class_Otimes @t182 @t182 tptp.tc_RealDef_Oreal) @t169)) % 0.50/0.99 (assume @p127 (forall @t131 (or @t123 @t122 (= (tptp.c_Transcendental_Oexp @t190 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t189 @t1))))) % 0.50/0.99 (assume @p128 (forall @t12 (or @t193 (= @t192 @t191)))) % 0.50/0.99 (assume @p129 (forall @t164 (= (tptp.c_Transcendental_Ocos @t194) @t170))) % 0.50/0.99 (assume @p130 (forall @t23 (or @t196 @t195 @t30))) % 0.50/0.99 (assume @p131 (forall @t113 (or @t188 (= @t198 @t197)))) % 0.50/0.99 (assume @p132 (forall @t131 (or @t141 (= (tptp.c_RealVector_Onorm__class_Onorm @t190 @t1) @t140)))) % 0.50/0.99 (assume @p133 (forall @t164 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t199 tptp.tc_RealDef_Oreal) @t199 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p134 (forall @t113 (or @t123 @t122 (= @t202 @t201)))) % 0.50/0.99 (assume @p135 (forall @t23 (or @t188 @t204 @t30))) % 0.50/0.99 (assume @p136 (forall @t164 (= (tptp.c_Transcendental_Oln @t163) @t105))) % 0.50/0.99 (assume @p137 (forall (@list @t205) (= (tptp.c_Transcendental_Oln (tptp.c_Transcendental_Oexp @t205 tptp.tc_RealDef_Oreal)) @t205))) % 0.50/0.99 (assume @p138 (forall (@list @t109) (= (tptp.c_Transcendental_Oln @t206) @t109))) % 0.50/0.99 (assume @p139 (forall @t12 (or @t196 (= @t208 (tptp.c_HOL_Otimes__class_Otimes @t48 @t27 @t1)) @t207 @t30))) % 0.50/0.99 (assume @p140 (forall @t12 (or @t209 @t54 (= @t208 (tptp.c_HOL_Otimes__class_Otimes @t27 @t48 @t1))))) % 0.50/0.99 (assume @p141 (forall @t164 (= (tptp.c_Transcendental_Osin @t194) (tptp.c_HOL_Ouminus__class_Ouminus @t172 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p142 (forall @t180 (or @t213 @t210))) % 0.50/0.99 (assume @p143 (forall @t180 (or @t213 @t181))) % 0.50/0.99 (assume @p144 (forall (@list @t1 @t214) (or @t22 (= (tptp.c_HOL_Oabs__class_Oabs @t214 @t1) (tptp.c_HOL_Otimes__class_Otimes @t214 (tptp.c_HOL_Osgn__class_Osgn @t214 @t1) @t1))))) % 0.50/0.99 (assume @p145 (forall @t23 (or @t22 (= (tptp.c_HOL_Osgn__class_Osgn @t20 @t1) @t20)))) % 0.50/0.99 (assume @p146 (forall @t12 (or @t193 (= (tptp.c_HOL_Otimes__class_Otimes @t24 @t101 @t1) @t9)))) % 0.50/0.99 (assume @p147 (forall @t102 (or @t107 (= (tptp.c_HOL_Otimes__class_Otimes @t101 @t101 @t1) @t215)))) % 0.50/0.99 (assume @p148 (forall (@list @t1 @t216 @t105) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t216 @t190 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t217 @t1))))) % 0.50/0.99 (assume @p149 (forall @t12 (or @t218 (= @t191 @t219)))) % 0.50/0.99 (assume @p150 (forall @t113 (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t190 @t109 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t187 @t1))))) % 0.50/0.99 (assume @p151 (forall @t12 (or @t218 (= @t192 @t219)))) % 0.50/0.99 (assume @p152 (forall @t221 (or @t144 (= (tptp.c_HOL_Otimes__class_Otimes @t105 (tptp.c_HOL_Otimes__class_Otimes @t109 @t220 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t187 @t220 @t1))))) % 0.50/0.99 (assume @p153 (forall (@list @t224 @t223 @t222) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t224 @t223 tptp.tc_RealDef_Oreal) @t222 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t224 (tptp.c_HOL_Otimes__class_Otimes @t223 @t222 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p154 (forall @t230 (or @t144 (= @t229 (tptp.c_HOL_Otimes__class_Otimes @t227 (tptp.c_HOL_Otimes__class_Otimes @t226 @t225 @t1) @t1))))) % 0.50/0.99 (assume @p155 (forall @t230 (or @t144 (= @t229 (tptp.c_HOL_Otimes__class_Otimes @t231 @t225 @t1))))) % 0.50/0.99 (assume @p156 (forall @t235 (or @t144 (= @t234 (tptp.c_HOL_Otimes__class_Otimes @t226 (tptp.c_HOL_Otimes__class_Otimes @t232 @t227 @t1) @t1))))) % 0.50/0.99 (assume @p157 (forall @t235 (or @t144 (= @t234 (tptp.c_HOL_Otimes__class_Otimes @t231 @t232 @t1))))) % 0.50/0.99 (assume @p158 (forall @t168 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t32 @t1) (tptp.c_HOL_Otimes__class_Otimes @t3 @t40 @t1))))) % 0.50/0.99 (assume @p159 (forall @t131 (or @t106 (= @t190 (tptp.c_HOL_Otimes__class_Otimes @t236 @t105 @t1))))) % 0.50/0.99 (assume @p160 (forall @t240 (or @t218 (tptp.c_HOL_Oord__class_Oless @t198 (tptp.c_HOL_Otimes__class_Otimes @t103 @t238 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t239 @t237))) % 0.50/0.99 (assume @p161 (forall @t23 (or @t196 @t54 @t195))) % 0.50/0.99 (assume @p162 (forall @t12 (or @t196 @t54 @t242 @t241))) % 0.50/0.99 (assume @p163 (forall @t131 (or @t243 (= @t110 @t105)))) % 0.50/0.99 (assume @p164 (forall @t12 (or @t196 (not (= @t9 @t121)) (= @t27 @t6)))) % 0.50/0.99 (assume @p165 (forall @t180 (or (not (= @t163 @t206)) @t244))) % 0.50/0.99 (assume @p166 (forall @t164 (or (not (= @t212 @t169)) (= @t105 @t182) @t245))) % 0.50/0.99 (assume @p167 (forall @t113 (or @t243 (= (tptp.c_HOL_Otimes__class_Otimes @t105 @t187 @t1) @t187)))) % 0.50/0.99 (assume @p168 (forall @t12 (or @t193 (= @t219 @t191)))) % 0.50/0.99 (assume @p169 (forall @t12 (or @t193 (= @t219 @t192)))) % 0.50/0.99 (assume @p170 (forall @t131 (or @t141 (= (tptp.c_HOL_Osgn__class_Osgn @t190 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t186 @t1))))) % 0.50/0.99 (assume @p171 (forall @t113 (or @t246 (not (= @t190 (tptp.c_HOL_Ouminus__class_Ouminus @t109 @t1))) @t244))) % 0.50/0.99 (assume @p172 (forall @t12 (or @t99 (not (= @t24 @t101)) @t241))) % 0.50/0.99 (assume @p173 (forall @t248 (or @t144 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t227 (tptp.c_HOL_Otimes__class_Otimes @t233 @t225 @t1) @t1))))) % 0.50/0.99 (assume @p174 (forall @t248 (or @t144 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t226 (tptp.c_HOL_Otimes__class_Otimes @t232 @t228 @t1) @t1))))) % 0.50/0.99 (assume @p175 (forall @t248 (or @t144 (= @t247 (tptp.c_HOL_Otimes__class_Otimes @t231 (tptp.c_HOL_Otimes__class_Otimes @t232 @t225 @t1) @t1))))) % 0.50/0.99 (assume @p176 (forall @t164 (or (= (tptp.c_Transcendental_Oln @t249) (tptp.c_HOL_Ouminus__class_Ouminus @t178 tptp.tc_RealDef_Oreal)) @t175))) % 0.50/0.99 (assume @p177 (forall @t180 (= (tptp.c_Transcendental_Osin @t250) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t172 (tptp.c_Transcendental_Ocos @t109) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t170 (tptp.c_Transcendental_Osin @t109) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p178 (forall @t12 (or @t107 (not (= @t45 @t215)) @t117 @t241))) % 0.50/0.99 (assume @p179 (forall @t131 (or @t22 (= (tptp.c_HOL_Otimes__class_Otimes @t186 (tptp.c_HOL_Oabs__class_Oabs @t105 @t1) @t1) @t105)))) % 0.50/0.99 (assume @p180 (forall @t113 (or @t218 (tptp.c_lessequals @t198 @t197 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p181 (forall @t164 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t170 @t170 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t172 @t172 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t169))) % 0.50/0.99 (assume @p182 (forall @t23 (or @t54 @t188 @t204))) % 0.50/0.99 (assume @p183 (forall @t23 (or @t196 @t54 @t251))) % 0.50/0.99 (assume @p184 (forall @t113 (or @t144 (= @t187 @t252)))) % 0.50/0.99 (assume @p185 (forall @t254 (= (tptp.c_HOL_Otimes__class_Otimes @t220 @t253 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t253 @t220 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p186 (forall @t12 (or @t144 (= @t9 @t13)))) % 0.50/0.99 (assume @p187 (forall (@list @t205 @t105) (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus (tptp.c_HOL_Otimes__class_Otimes @t205 @t205 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t212 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p188 (forall @t113 (or @t123 @t122 (= @t201 @t202)))) % 0.50/0.99 (assume @p189 (forall @t102 (or @t99 (= @t255 @t6)))) % 0.50/0.99 (assume @p190 (forall @t23 (or @t99 (= @t3 @t256)))) % 0.50/0.99 (assume @p191 (forall @t102 (or @t99 (= @t6 @t255)))) % 0.50/0.99 (assume @p192 (forall @t131 (or @t246 (= (tptp.c_HOL_Ouminus__class_Ouminus @t190 @t1) @t105)))) % 0.50/0.99 (assume @p193 (forall @t23 (or @t99 (= @t256 @t3)))) % 0.50/0.99 (assume @p194 (forall @t120 (or @t97 @t258))) % 0.50/0.99 (assume @p195 (forall @t120 (or @t99 @t258))) % 0.50/0.99 (assume @p196 (forall @t23 (or @t196 @t259 @t30))) % 0.50/0.99 (assume @p197 (forall @t23 (or @t196 @t54 @t259 @t30))) % 0.50/0.99 (assume @p198 (forall @t120 (or @t99 (= @t2 @t257)))) % 0.50/0.99 (assume @p199 (forall @t120 (or @t22 @t261))) % 0.50/0.99 (assume @p200 (forall @t120 (or @t262 @t261))) % 0.50/0.99 (assume @p201 (forall @t120 (or @t141 @t261))) % 0.50/0.99 (assume @p202 (forall @t23 (or @t264 @t263))) % 0.50/0.99 (assume @p203 (forall @t102 (or @t264 @t265))) % 0.50/0.99 (assume @p204 (forall @t164 (tptp.c_lessequals @t139 @t163 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p205 (forall @t131 (or @t141 (tptp.c_lessequals @t139 @t140 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p206 (forall @t164 (tptp.c_HOL_Oord__class_Oless @t139 @t163 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p207 (forall @t271 (or @t270 (not @t269) @t266))) % 0.50/0.99 (assume @p208 (forall @t273 (or @t269 @t272 @t266))) % 0.50/0.99 (assume @p209 (forall @t276 (or (tptp.c_HOL_Oord__class_Oless @t275 @t274 tptp.tc_RealDef_Oreal) @t272 @t266))) % 0.50/0.99 (assume @p210 (forall @t131 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t140 @t139 tptp.tc_RealDef_Oreal))))) % 0.50/0.99 (assume @p211 (forall @t180 (or (tptp.c_HOL_Oord__class_Oless @t139 @t179 tptp.tc_RealDef_Oreal) @t176 @t175))) % 0.50/0.99 (assume @p212 (forall @t164 (not (tptp.c_HOL_Oord__class_Oless @t163 @t139 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p213 (forall @t164 (or (tptp.c_HOL_Oord__class_Oless @t178 @t105 tptp.tc_RealDef_Oreal) @t175))) % 0.50/0.99 (assume @p214 (forall @t180 (or (not (= @t178 @t177)) @t176 @t175 @t244))) % 0.50/0.99 (assume @p215 (forall @t180 (or @t270 (not @t277) @t176 @t175))) % 0.50/0.99 (assume @p216 (forall @t180 (or @t277 @t272 @t176 @t175))) % 0.50/0.99 (assume @p217 (not (tptp.c_HOL_Oord__class_Oless @t139 @t278 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p218 (forall @t164 (or @t181 (tptp.c_HOL_Oord__class_Oless @t139 @t212 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p219 (forall @t120 (or @t279 (= (tptp.c_RealVector_Onorm__class_Onorm @t121 @t1) @t169)))) % 0.50/0.99 (assume @p220 (forall @t164 (or (not (= @t163 @t169)) @t181))) % 0.50/0.99 (assume @p221 @t280) % 0.50/0.99 (assume @p222 (= (tptp.c_Transcendental_Ocos @t139) @t169)) % 0.50/0.99 (assume @p223 (= (tptp.c_Transcendental_Oexp @t139 tptp.tc_RealDef_Oreal) @t169)) % 0.50/0.99 (assume @p224 (forall @t164 (tptp.c_lessequals @t170 @t169 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p225 (forall @t164 (tptp.c_lessequals @t172 @t169 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p226 (forall @t164 (= (tptp.c_HOL_Oplus__class_Oplus @t105 @t194 tptp.tc_RealDef_Oreal) @t139))) % 0.50/0.99 (assume @p227 (forall (@list @t105 @t3) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t105 (tptp.c_HOL_Ouminus__class_Ouminus @t3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t139)) (= @t105 @t3)))) % 0.50/0.99 (assume @p228 (forall @t180 (or @t282 @t181))) % 0.50/0.99 (assume @p229 (forall @t180 (or @t282 @t210))) % 0.50/0.99 (assume @p230 (forall @t180 (or (not (= @t250 @t139)) (= @t109 @t194)))) % 0.50/0.99 (assume @p231 (= (tptp.c_HOL_Oplus__class_Oplus @t278 @t278 tptp.tc_RealDef_Oreal) @t139)) % 0.50/0.99 (assume @p232 (forall @t164 (tptp.c_lessequals @t283 @t199 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p233 (forall (@list @t103 @t105) (or @t288 @t286))) % 0.50/0.99 (assume @p234 (forall @t290 (or @t285 (not @t289) (not @t288)))) % 0.50/0.99 (assume @p235 (forall @t180 (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t105 (tptp.c_HOL_Ouminus__class_Ouminus @t109 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t109 @t194 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p236 (forall @t55 (or @t19 @t75 @t291 @t166))) % 0.50/0.99 (assume @p237 (forall @t39 (or @t19 @t71 @t76 @t166))) % 0.50/0.99 (assume @p238 (forall @t168 (or @t19 @t68 @t291 @t165))) % 0.50/0.99 (assume @p239 (forall @t39 (or @t19 @t71 @t69 @t165))) % 0.50/0.99 (assume @p240 (forall @t168 (or @t11 @t68 @t165 @t291))) % 0.50/0.99 (assume @p241 (forall @t168 (or @t11 @t68 @t165 (not @t73)))) % 0.50/0.99 (assume @p242 (forall @t89 (or @t11 @t293 @t70 @t8 @t292 @t52))) % 0.50/0.99 (assume @p243 (forall @t168 (or @t294 @t51 @t70 @t36))) % 0.50/0.99 (assume @p244 (forall @t168 (or @t294 @t51 @t70 @t43))) % 0.50/0.99 (assume @p245 (forall @t168 (or @t11 @t51 @t70 @t36))) % 0.50/0.99 (assume @p246 (forall @t168 (or @t11 @t51 @t70 @t43))) % 0.50/0.99 (assume @p247 (forall @t89 (or @t11 @t293 @t70 @t63 @t292 @t52))) % 0.50/0.99 (assume @p248 (forall @t16 (or @t31 @t75 @t15 @t295))) % 0.50/0.99 (assume @p249 (forall @t16 (or @t31 @t296 @t15 @t69))) % 0.50/0.99 (assume @p250 (forall @t16 (or @t31 @t75 @t18 @t295))) % 0.50/0.99 (assume @p251 (forall @t16 (or @t31 @t296 @t18 @t69))) % 0.50/0.99 (assume @p252 (forall @t89 (or @t11 @t293 @t70 @t15 @t292 @t69))) % 0.50/0.99 (assume @p253 (forall @t89 (or @t11 @t293 @t165 @t63 @t85 @t52))) % 0.50/0.99 (assume @p254 (forall @t113 (or @t19 @t297 @t108))) % 0.50/0.99 (assume @p255 (forall @t113 (or @t19 @t297 @t114))) % 0.50/0.99 (assume @p256 (forall @t113 (or @t19 (not (tptp.c_HOL_Oord__class_Oless @t111 @t2 @t1))))) % 0.50/0.99 (assume @p257 (forall @t120 (or @t19 (not (tptp.c_HOL_Oord__class_Oless @t2 @t119 @t1))))) % 0.50/0.99 (assume @p258 (forall @t113 (or @t19 @t108 @t298))) % 0.50/0.99 (assume @p259 (forall @t299 (or @t19 @t114 @t298))) % 0.50/0.99 (assume @p260 (forall @t113 (or @t19 (tptp.c_lessequals @t2 @t111 @t1)))) % 0.50/0.99 (assume @p261 (forall @t120 (or @t19 (tptp.c_lessequals @t119 @t2 @t1)))) % 0.50/0.99 (assume @p262 (forall @t12 (or @t94 @t302 @t301))) % 0.50/0.99 (assume @p263 (forall @t12 (or @t94 @t300 (not @t302)))) % 0.50/0.99 (assume @p264 (forall @t131 (or @t262 (= @t186 @t121) @t304 @t108))) % 0.50/0.99 (assume @p265 (forall @t131 (or @t31 @t54 @t303 @t129))) % 0.50/0.99 (assume @p266 (forall @t131 (or @t31 @t54 @t128 (not @t130) @t304))) % 0.50/0.99 (assume @p267 (forall @t23 (or @t22 @t305 @t15))) % 0.50/0.99 (assume @p268 (forall @t23 (or @t22 (not @t305) @t14))) % 0.50/0.99 (assume @p269 (forall @t131 (or @t31 @t54 @t134 @t306 (not @t135)))) % 0.50/0.99 (assume @p270 (forall @t131 (or @t31 @t54 @t135 @t307))) % 0.50/0.99 (assume @p271 (forall @t299 (or @t22 (tptp.c_lessequals @t252 @t105 @t1) @t310 @t309 @t308))) % 0.50/0.99 (assume @p272 (forall @t113 (or @t22 (tptp.c_lessequals @t187 @t105 @t1) @t310 @t309 @t308))) % 0.50/0.99 (assume @p273 (forall @t23 (or @t313 @t312 @t311 @t5))) % 0.50/0.99 (assume @p274 (forall @t23 (or @t314 @t311 @t5))) % 0.50/0.99 (assume @p275 (forall @t23 (or @t161 @t311 @t5))) % 0.50/0.99 (assume @p276 (forall @t23 (or @t161 @t311 @t60))) % 0.50/0.99 (assume @p277 (forall @t23 (or @t161 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t148 @t1) @t2 @t1)))) % 0.50/0.99 (assume @p278 (forall @t12 (or @t316 @t315 @t79 @t63))) % 0.50/0.99 (assume @p279 (forall @t12 (or @t316 @t315 @t81 @t63))) % 0.50/0.99 (assume @p280 (forall @t12 (or @t316 @t315 @t79 @t60))) % 0.50/0.99 (assume @p281 (forall @t12 (or @t316 @t315 @t81 @t60))) % 0.50/0.99 (assume @p282 (forall @t299 (or @t22 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t109 @t1) @t105 @t1) (tptp.c_HOL_Oabs__class_Oabs @t252 @t1)) @t308))) % 0.50/0.99 (assume @p283 (forall @t131 (or @t141 @t108 (not (tptp.c_lessequals @t140 @t139 tptp.tc_RealDef_Oreal))))) % 0.50/0.99 (assume @p284 (forall @t120 (or @t141 (tptp.c_lessequals @t142 @t139 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p285 (forall @t120 (or @t141 (not (tptp.c_HOL_Oord__class_Oless @t139 @t142 tptp.tc_RealDef_Oreal))))) % 0.50/0.99 (assume @p286 (forall @t131 (or @t141 (tptp.c_HOL_Oord__class_Oless @t139 @t140 tptp.tc_RealDef_Oreal) @t108))) % 0.50/0.99 (assume @p287 (forall @t271 (or @t318 (not @t317) @t266))) % 0.50/0.99 (assume @p288 (forall @t273 (or @t317 @t319 @t266))) % 0.50/0.99 (assume @p289 (forall @t271 (or @t318 (not @t320) @t266))) % 0.50/0.99 (assume @p290 (forall @t276 (or @t320 @t319 @t266))) % 0.50/0.99 (assume @p291 (forall @t180 (or @t318 (not @t321) @t176 @t175))) % 0.50/0.99 (assume @p292 (forall @t180 (or @t321 @t319 @t176 @t175))) % 0.50/0.99 (assume @p293 (forall @t113 (or @t141 (tptp.c_lessequals @t322 (tptp.c_HOL_Oplus__class_Oplus @t140 @t185 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p294 (forall @t240 (or @t141 (tptp.c_HOL_Oord__class_Oless @t322 (tptp.c_HOL_Oplus__class_Oplus @t103 @t238 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t239 @t237))) % 0.50/0.99 (assume @p295 (forall @t164 (or @t324 (not @t323)))) % 0.50/0.99 (assume @p296 (forall @t164 (or @t323 @t325))) % 0.50/0.99 (assume @p297 (forall @t164 (or @t327 (not @t326)))) % 0.50/0.99 (assume @p298 (forall @t164 (or @t326 (not @t327)))) % 0.50/0.99 (assume @p299 (forall @t164 (or @t330 @t329))) % 0.50/0.99 (assume @p300 (forall @t164 (or @t331 @t175))) % 0.50/0.99 (assume @p301 (forall @t164 (or @t174 (not @t331)))) % 0.50/0.99 (assume @p302 (forall @t164 (or @t334 @t333 @t175))) % 0.50/0.99 (assume @p303 (forall @t164 (or @t332 @t335 @t175))) % 0.50/0.99 (assume @p304 (forall @t23 (or @t336 @t263))) % 0.50/0.99 (assume @p305 (forall @t23 (or @t336 @t337))) % 0.50/0.99 (assume @p306 (forall @t131 (or @t144 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t105 @t1) @t2)))) % 0.50/0.99 (assume @p307 (forall @t131 (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t105 @t2 @t1) @t2)))) % 0.50/0.99 (assume @p308 (forall @t23 (or @t218 @t263))) % 0.50/0.99 (assume @p309 (forall @t102 (or @t218 @t265))) % 0.50/0.99 (assume @p310 (forall (@list @t1 @t109) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t109 @t1) @t2)))) % 0.50/0.99 (assume @p311 (forall @t23 (or @t144 @t263))) % 0.50/0.99 (assume @p312 (forall @t23 (or @t144 @t337))) % 0.50/0.99 (assume @p313 (forall @t23 (or @t196 @t251 @t30))) % 0.50/0.99 (assume @p314 (forall @t23 (or @t97 (not (= @t24 @t3)) @t30))) % 0.50/0.99 (assume @p315 (forall @t120 (or @t54 @t338))) % 0.50/0.99 (assume @p316 (forall @t120 (or @t196 @t54 @t338))) % 0.50/0.99 (assume @p317 (forall @t12 (or @t196 @t242 @t241 @t207 @t30))) % 0.50/0.99 (assume @p318 (forall @t23 (or @t99 (not (= @t24 @t2)) @t30))) % 0.50/0.99 (assume @p319 (forall @t12 (or @t264 @t339 @t207 @t30))) % 0.50/0.99 (assume @p320 (forall @t12 (or @t340 @t339 @t207 @t30))) % 0.50/0.99 (assume @p321 (forall @t12 (or @t340 @t339 @t30 @t207))) % 0.50/0.99 (assume @p322 (forall @t23 (or @t99 (not (= @t2 @t24)) (= @t2 @t3)))) % 0.50/0.99 (assume @p323 (forall @t23 (or @t22 (not (= @t20 @t2)) @t30))) % 0.50/0.99 (assume @p324 (forall @t131 (or @t141 (not (= @t186 @t2)) @t108))) % 0.50/0.99 (assume @p325 (forall @t131 (or @t123 @t122 (not (= @t189 @t2))))) % 0.50/0.99 (assume @p326 (forall @t55 (or @t19 @t50 @t51 @t43))) % 0.50/0.99 (assume @p327 (forall @t55 (or @t19 @t50 @t51 @t36))) % 0.50/0.99 (assume @p328 (forall @t16 (or @t26 @t341 @t52))) % 0.50/0.99 (assume @p329 (forall @t12 (or @t26 @t51 (not @t341)))) % 0.50/0.99 (assume @p330 (forall @t12 (or @t26 @t155 (not @t342)))) % 0.50/0.99 (assume @p331 (forall @t16 (or @t26 @t342 @t156))) % 0.50/0.99 (assume @p332 (forall @t12 (or @t26 @t344 (not @t343)))) % 0.50/0.99 (assume @p333 (forall @t16 (or @t26 @t343 (not @t344)))) % 0.50/0.99 (assume @p334 (forall @t12 (or @t26 @t68 (not @t345)))) % 0.50/0.99 (assume @p335 (forall @t16 (or @t26 @t345 @t69))) % 0.50/0.99 (assume @p336 (forall @t12 (or @t26 @t160 (not @t346)))) % 0.50/0.99 (assume @p337 (forall @t16 (or @t26 @t346 @t162))) % 0.50/0.99 (assume @p338 (forall @t12 (or @t26 @t300 (not @t347)))) % 0.50/0.99 (assume @p339 (forall @t16 (or @t26 @t347 @t301))) % 0.50/0.99 (assume @p340 (forall @t12 (or @t196 (= @t348 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t27 @t115 @t1) @t48 @t1)) @t207 @t30))) % 0.50/0.99 (assume @p341 (forall @t12 (or @t209 (= @t348 (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t115 @t27 @t1) @t48 @t1)) @t207 @t30))) % 0.50/0.99 (assume @p342 (forall @t23 (or @t196 (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t27 @t1) @t121) @t30))) % 0.50/0.99 (assume @p343 (forall @t23 (or @t196 @t349 @t30))) % 0.50/0.99 (assume @p344 (forall @t23 (or @t209 @t349 @t30))) % 0.50/0.99 (assume @p345 (forall @t12 (or @t100 (= @t350 (tptp.c_HOL_Oplus__class_Oplus @t24 @t101 @t1))))) % 0.50/0.99 (assume @p346 (forall @t12 (or @t99 (= @t350 (tptp.c_HOL_Oplus__class_Oplus @t101 @t24 @t1))))) % 0.50/0.99 (assume @p347 (forall @t12 (or @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t24 @t115 @t1) @t6)))) % 0.50/0.99 (assume @p348 (forall (@list @t1 @t220 @t109) (or @t100 (= (tptp.c_HOL_Oplus__class_Oplus @t352 @t351 @t1) @t109)))) % 0.50/0.99 (assume @p349 (forall (@list @t1 @t253 @t109 @t105 @t220) (or @t107 @t106 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t253 @t109 @t1) @t354 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t253 @t220 @t1) @t187 @t1))) @t353 (= @t253 @t105)))) % 0.50/0.99 (assume @p350 (forall @t89 (or @t107 @t106 (not (= (tptp.c_HOL_Oplus__class_Oplus @t41 @t86 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t84 @t1) @t40 @t1))) @t104 @t241))) % 0.50/0.99 (assume @p351 (forall (@list @t1 @t3 @t124 @t6) (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t147 (tptp.c_HOL_Otimes__class_Otimes @t6 @t124 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t115 @t124 @t1))))) % 0.50/0.99 (assume @p352 (forall @t168 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t355))) % 0.50/0.99 (assume @p353 (forall @t221 (or @t144 (= (tptp.c_HOL_Otimes__class_Otimes @t105 @t351 @t1) @t356)))) % 0.50/0.99 (assume @p354 (forall (@list @t1 @t3 @t357 @t6) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t3 @t357 @t1) @t6 @t1) (tptp.c_HOL_Oplus__class_Oplus @t9 (tptp.c_HOL_Otimes__class_Otimes @t357 @t6 @t1) @t1))))) % 0.50/0.99 (assume @p355 (forall (@list @t1 @t105 @t109 @t358) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t200 @t358 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t105 @t358 @t1) (tptp.c_HOL_Otimes__class_Otimes @t109 @t358 @t1) @t1))))) % 0.50/0.99 (assume @p356 (forall (@list @t1 @t3 @t6 @t359) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t3 (tptp.c_HOL_Oplus__class_Oplus @t6 @t359 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t9 (tptp.c_HOL_Otimes__class_Otimes @t3 @t359 @t1) @t1))))) % 0.50/0.99 (assume @p357 (forall (@list @t1 @t216 @t105 @t109) (or @t218 (= (tptp.c_HOL_Otimes__class_Otimes @t216 @t200 @t1) (tptp.c_HOL_Oplus__class_Oplus @t217 (tptp.c_HOL_Otimes__class_Otimes @t216 @t109 @t1) @t1))))) % 0.50/0.99 (assume @p358 (forall @t168 (or @t144 @t355))) % 0.50/0.99 (assume @p359 (forall @t12 (or @t99 (= (tptp.c_HOL_Oplus__class_Oplus @t3 (tptp.c_HOL_Oplus__class_Oplus @t24 @t6 @t1) @t1) @t6)))) % 0.50/0.99 (assume @p360 (forall @t221 (or @t107 @t106 (= @t356 (tptp.c_HOL_Oplus__class_Oplus @t354 @t187 @t1))))) % 0.50/0.99 (assume @p361 (forall (@list @t1 @t105 @t32 @t84) (or @t107 @t106 (= (tptp.c_HOL_Oplus__class_Oplus @t360 @t361 @t1) (tptp.c_HOL_Oplus__class_Oplus @t361 @t360 @t1))))) % 0.50/0.99 (assume @p362 (forall (@list @t1 @t3 @t362 @t6 @t32) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t3 @t362 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t6 @t362 @t1) @t32 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t115 @t362 @t1) @t32 @t1))))) % 0.50/0.99 (assume @p363 (forall @t221 (or @t100 (not (= @t363 @t109)) (= @t105 @t352)))) % 0.50/0.99 (assume @p364 (forall @t120 (or @t141 (= (tptp.c_RealVector_Onorm__class_Onorm @t260 @t1) @t139)))) % 0.50/0.99 (assume @p365 (forall @t120 (or @t196 @t364))) % 0.50/0.99 (assume @p366 (forall @t120 (or @t209 @t54 @t364))) % 0.50/0.99 (assume @p367 (forall @t23 (or @t366 @t365))) % 0.50/0.99 (assume @p368 (forall @t23 (or @t366 @t367))) % 0.50/0.99 (assume @p369 (forall @t23 (or (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1)) @t367))) % 0.50/0.99 (assume @p370 (forall @t131 (or @t144 (= (tptp.c_HOL_Otimes__class_Otimes @t121 @t105 @t1) @t105)))) % 0.50/0.99 (assume @p371 (forall @t23 (or @t144 @t365))) % 0.50/0.99 (assume @p372 (forall @t23 (or @t144 @t367))) % 0.50/0.99 (assume @p373 (forall @t120 (or @t279 (= (tptp.c_HOL_Osgn__class_Osgn @t121 @t1) @t121)))) % 0.50/0.99 (assume @p374 (forall @t131 (or @t209 @t54 (not (= @t127 @t121)) (= @t105 @t121)))) % 0.50/0.99 (assume @p375 (forall @t131 (or @t141 (= (tptp.c_RealVector_Onorm__class_Onorm @t186 @t1) @t169) @t108))) % 0.50/0.99 (assume @p376 (= (tptp.c_HOL_Osgn__class_Osgn @t139 tptp.tc_RealDef_Oreal) @t139)) % 0.50/0.99 (assume @p377 (forall (@list @t3 @t32 @t6) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t3 @t32 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t6 @t32 tptp.tc_RealDef_Oreal))) @t368 @t241))) % 0.50/0.99 (assume @p378 (forall (@list @t32 @t3 @t6) (or (not (= (tptp.c_HOL_Otimes__class_Otimes @t32 @t3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t32 @t6 tptp.tc_RealDef_Oreal))) @t368 @t241))) % 0.50/0.99 (assume @p379 (= (tptp.c_Transcendental_Osin @t139) @t139)) % 0.50/0.99 (assume @p380 (= (tptp.c_HOL_Oinverse__class_Oinverse @t139 tptp.tc_RealDef_Oreal) @t139)) % 0.50/0.99 (assume @p381 (forall (@list @t109 @t105 @t205 @t369) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t109 @t249 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t205 @t372 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t371 @t370 @t175))) % 0.50/0.99 (assume @p382 (forall (@list @t105 @t109 @t369 @t205) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Otimes__class_Otimes @t249 @t109 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t372 @t205 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t371 @t370 @t175))) % 0.50/0.99 (assume @p383 (forall @t164 (or @t373 @t175))) % 0.50/0.99 (assume @p384 (forall @t164 (or (not @t373) @t174))) % 0.50/0.99 (assume @p385 (forall (@list @t1 @t105 @t103) (or @t188 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t127 @t1) (tptp.c_HOL_Oinverse__class_Oinverse @t103 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t139 @t103 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t103 @t140 tptp.tc_RealDef_Oreal))))) % 0.50/0.99 (assume @p386 (forall @t180 (or @t374 @t319))) % 0.50/0.99 (assume @p387 (forall @t180 (or @t318 (not @t374)))) % 0.50/0.99 (assume @p388 (forall @t180 (or @t270 (not @t375)))) % 0.50/0.99 (assume @p389 (forall @t180 (or @t375 @t272))) % 0.50/0.99 (assume @p390 (forall @t164 (or (not (= @t170 @t169)) @t173))) % 0.50/0.99 (assume @p391 (forall @t164 (or (= (tptp.c_HOL_Otimes__class_Otimes @t249 @t105 tptp.tc_RealDef_Oreal) @t169) @t181))) % 0.50/0.99 (assume @p392 (forall @t23 (or @t22 (= (tptp.c_HOL_Otimes__class_Otimes @t148 @t148 @t1) @t45)))) % 0.50/0.99 (assume @p393 (forall @t23 (or @t161 (= (tptp.c_HOL_Oabs__class_Oabs @t24 @t1) @t148)))) % 0.50/0.99 (assume @p394 (forall @t12 (or @t22 @t315))) % 0.50/0.99 (assume @p395 (forall @t23 (or @t31 @t54 @t149))) % 0.50/0.99 (assume @p396 (forall (@list @t220) (= (tptp.c_HOL_Otimes__class_Otimes @t169 @t220 tptp.tc_RealDef_Oreal) @t220))) % 0.50/0.99 (assume @p397 (= (tptp.c_HOL_Otimes__class_Otimes @t169 @t169 tptp.tc_RealDef_Oreal) @t169)) % 0.50/0.99 (assume @p398 (forall (@list @t224 @t223 @t253) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t224 @t223 tptp.tc_RealDef_Oreal) @t253 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t224 @t253 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t223 @t253 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p399 (forall @t164 (= (tptp.c_HOL_Oabs__class_Oabs @t163 tptp.tc_RealDef_Oreal) @t163))) % 0.50/0.99 (assume @p400 (forall @t23 (or @t141 (= (tptp.c_HOL_Oabs__class_Oabs @t203 tptp.tc_RealDef_Oreal) @t203)))) % 0.50/0.99 (assume @p401 (forall @t23 (or @t22 (not @t376) @t4))) % 0.50/0.99 (assume @p402 (forall @t23 (or @t22 @t376 @t5))) % 0.50/0.99 (assume @p403 (forall @t131 (or @t262 (= @t186 @t236) @t303 @t108))) % 0.50/0.99 (assume @p404 (forall @t164 (or @t334 @t175 @t333))) % 0.50/0.99 (assume @p405 (forall @t164 (or @t332 @t335))) % 0.50/0.99 (assume @p406 (forall @t164 (or @t377 @t175 @t181))) % 0.50/0.99 (assume @p407 (forall @t164 (or @t380 @t379 @t175))) % 0.50/0.99 (assume @p408 (forall @t164 (or @t378 (not @t380) @t175))) % 0.50/0.99 (assume @p409 (forall @t164 (or (not (= @t178 @t139)) @t175 @t245))) % 0.50/0.99 (assume @p410 (or (not (tptp.c_HOL_Oord__class_Oless @t139 @t169 tptp.tc_RealDef_Oreal)) @t280)) % 0.50/0.99 (assume @p411 (forall @t164 (or @t382 (not @t381)))) % 0.50/0.99 (assume @p412 (forall @t164 (or @t381 (not @t382)))) % 0.50/0.99 (assume @p413 (forall @t164 (or (tptp.c_HOL_Oord__class_Oless @t169 @t249 tptp.tc_RealDef_Oreal) @t379 @t175))) % 0.50/0.99 (assume @p414 (forall @t164 (or @t377 @t175))) % 0.50/0.99 (assume @p415 (forall @t180 (or @t384 (not @t383)))) % 0.50/0.99 (assume @p416 (forall @t180 (or @t383 (not @t384)))) % 0.50/0.99 (assume @p417 (forall @t180 (tptp.c_lessequals @t139 @t281 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p418 (forall @t180 (or @t386 (not @t385)))) % 0.50/0.99 (assume @p419 (forall @t387 (or @t385 (not @t386)))) % 0.50/0.99 (assume @p420 (forall @t180 (or @t388 @t181))) % 0.50/0.99 (assume @p421 (forall @t180 (or @t388 @t210))) % 0.50/0.99 (assume @p422 (forall @t180 (or @t390 (not @t389)))) % 0.50/0.99 (assume @p423 (forall @t180 (or @t389 (not @t390)))) % 0.50/0.99 (assume @p424 (forall (@list @t391 @t392) (or @t394 (not @t393)))) % 0.50/0.99 (assume @p425 (forall (@list @t392 @t391) (or @t393 (not @t394)))) % 0.50/0.99 (assume @p426 (forall @t387 (or @t396 (not @t395)))) % 0.50/0.99 (assume @p427 (forall @t180 (or @t395 (not @t396)))) % 0.50/0.99 (assume @p428 (forall (@list @t105 @t32 @t109) (or @t181 (not (tptp.c_lessequals @t284 (tptp.c_HOL_Otimes__class_Otimes @t32 (tptp.c_HOL_Oabs__class_Oabs @t109 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) @t184))) % 0.50/0.99 (assume @p429 (forall @t399 (or (= @t398 @t287) (not @t397)))) % 0.50/0.99 (assume @p430 (forall @t164 (tptp.c_lessequals @t171 @t169 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p431 (forall @t164 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t172 tptp.tc_RealDef_Oreal) @t169 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p432 (forall (@list @t105 @t109 @t401 @t124) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t250 (tptp.c_HOL_Oplus__class_Oplus @t402 @t400 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t105 @t402 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t109 @t400 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p433 (forall @t164 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t283 tptp.tc_RealDef_Oreal) @t199 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p434 (forall @t131 (or @t31 @t54 @t132 @t306 (not @t133)))) % 0.50/0.99 (assume @p435 (forall @t131 (or @t31 @t54 @t303 @t137))) % 0.50/0.99 (assume @p436 (forall @t131 (or @t31 @t54 @t133 @t307))) % 0.50/0.99 (assume @p437 (forall @t131 (or @t31 @t54 @t136 (not @t138) @t304))) % 0.50/0.99 (assume @p438 (forall @t404 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t403 tptp.tc_Complex_Ocomplex) tptp.v_r tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p439 (forall @t164 (or @t328 @t405 @t175))) % 0.50/0.99 (assume @p440 (forall @t164 (or @t330 @t329 @t175))) % 0.50/0.99 (assume @p441 (forall @t164 (or @t328 @t175 @t405))) % 0.50/0.99 (assume @p442 (forall @t164 (or (tptp.c_lessequals (tptp.c_Transcendental_Oln @t406) @t105 tptp.tc_RealDef_Oreal) @t325))) % 0.50/0.99 (assume @p443 (forall @t164 (or (tptp.c_lessequals @t406 @t163 tptp.tc_RealDef_Oreal) @t325))) % 0.50/0.99 (assume @p444 (forall @t23 (or @t94 @t62 (not @t408)))) % 0.50/0.99 (assume @p445 (forall @t23 (or @t94 @t408 @t63))) % 0.50/0.99 (assume @p446 (forall @t164 (tptp.c_HOL_Oord__class_Oless @t139 (tptp.c_HOL_Oplus__class_Oplus @t169 @t284 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p447 (forall @t55 (or @t413 @t412 @t411 @t409 @t15))) % 0.50/0.99 (assume @p448 (forall @t23 (or @t161 (= (tptp.c_HOL_Oabs__class_Oabs @t148 @t1) @t148)))) % 0.50/0.99 (assume @p449 (forall @t23 (or @t161 (tptp.c_HOL_Oord__class_Oless @t2 @t148 @t1) @t30))) % 0.50/0.99 (assume @p450 (forall (@list @t1 @t3 @t32) (or @t144 (= @t410 @t414)))) % 0.50/0.99 (assume @p451 (forall @t113 (or @t144 (= @t200 (tptp.c_HOL_Oplus__class_Oplus @t109 @t105 @t1))))) % 0.50/0.99 (assume @p452 (forall @t12 (or @t412 (= @t115 @t415)))) % 0.50/0.99 (assume @p453 (forall @t23 (or @t161 (tptp.c_lessequals @t3 @t148 @t1)))) % 0.50/0.99 (assume @p454 (forall @t120 (or @t126 (not (tptp.c_HOL_Oord__class_Oless @t121 @t2 @t1))))) % 0.50/0.99 (assume @p455 (forall @t12 (or @t22 @t51 @t154))) % 0.50/0.99 (assume @p456 (forall @t120 (or @t126 (tptp.c_lessequals @t2 @t121 @t1)))) % 0.50/0.99 (assume @p457 (forall @t164 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t284 @t169 tptp.tc_RealDef_Oreal) @t105 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p458 (forall @t131 (or @t313 @t417))) % 0.50/0.99 (assume @p459 (forall @t131 (or @t418 @t417))) % 0.50/0.99 (assume @p460 (forall @t164 (not (tptp.c_HOL_Oord__class_Oless @t105 @t105 tptp.tc_RealDef_Oreal)))) % 0.50/0.99 (assume @p461 (forall @t131 (or @t419 @t417))) % 0.50/0.99 (assume @p462 (forall @t113 (or @t419 @t423 @t422 @t421))) % 0.50/0.99 (assume @p463 (forall @t12 (or @t425 @t424 @t8 @t15))) % 0.50/0.99 (assume @p464 (forall @t120 (or @t126 (not (tptp.c_lessequals @t121 @t2 @t1))))) % 0.50/0.99 (assume @p465 (forall @t89 (or @t428 @t427 @t292 @t52))) % 0.50/0.99 (assume @p466 (forall @t113 (or @t418 @t420 @t429))) % 0.50/0.99 (assume @p467 (forall @t180 (or @t318 @t272))) % 0.50/0.99 (assume @p468 (forall @t113 (or @t419 @t420 @t429))) % 0.50/0.99 (assume @p469 (forall @t23 (or @t161 (not (tptp.c_HOL_Oord__class_Oless @t148 @t2 @t1))))) % 0.50/0.99 (assume @p470 (forall @t120 (or @t126 (tptp.c_HOL_Oord__class_Oless @t2 @t121 @t1)))) % 0.50/0.99 (assume @p471 (forall @t23 (or @t94 @t59 (not @t430)))) % 0.50/0.99 (assume @p472 (forall @t23 (or @t94 @t430 @t60))) % 0.50/0.99 (assume @p473 (forall @t399 (or (= @t398 @t103) @t397))) % 0.50/0.99 (assume @p474 (forall @t23 (or @t313 @t312 @t431 @t4))) % 0.50/0.99 (assume @p475 (forall @t23 (or @t314 @t431 @t4))) % 0.50/0.99 (assume @p476 (forall @t12 (or @t161 (= (tptp.c_HOL_Oabs__class_Oabs @t432 @t1) @t432)))) % 0.50/0.99 (assume @p477 (forall @t23 (or @t161 (not (= @t148 @t2)) @t30))) % 0.50/0.99 (assume @p478 (forall @t120 (or @t161 (not (tptp.c_HOL_Oord__class_Oless @t2 @t433 @t1))))) % 0.50/0.99 (assume @p479 (forall @t168 (or @t413 @t51 (not @t435)))) % 0.50/0.99 (assume @p480 (forall @t39 (or @t413 @t435 @t52))) % 0.50/0.99 (assume @p481 (forall @t39 (or @t428 @t435 @t52))) % 0.50/0.99 (assume @p482 (forall @t168 (or @t413 @t51 (not @t437)))) % 0.50/0.99 (assume @p483 (forall @t74 (or @t413 @t437 @t52))) % 0.50/0.99 (assume @p484 (forall @t74 (or @t428 @t437 @t52))) % 0.50/0.99 (assume @p485 (forall @t131 (or @t419 @t438))) % 0.50/0.99 (assume @p486 (forall @t131 (or @t418 @t438))) % 0.50/0.99 (assume @p487 (forall (@list @t440 @t214 @t439) (or (tptp.c_lessequals @t440 @t214 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t439 @t214 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t440 @t439 tptp.tc_RealDef_Oreal))))) % 0.50/0.99 (assume @p488 (forall (@list @t253) (tptp.c_lessequals @t253 @t253 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p489 (forall @t443 (or @t419 @t442 @t441 @t421))) % 0.50/0.99 (assume @p490 (forall @t443 (or @t419 @t442 @t444 @t429))) % 0.50/0.99 (assume @p491 (forall (@list @t1 @t3 @t6 @t84 @t32) (or @t26 (tptp.c_lessequals @t3 @t426 @t1) @t85 (not (tptp.c_lessequals @t3 @t436 @t1))))) % 0.50/0.99 (assume @p492 (forall @t443 (or @t419 (tptp.c_lessequals @t105 @t220 @t1) @t444 @t421))) % 0.50/0.99 (assume @p493 (forall @t12 (or @t425 @t302 @t81 @t60))) % 0.50/0.99 (assume @p494 (forall @t448 (or @t418 @t447 @t446 @t445))) % 0.50/0.99 (assume @p495 (forall @t448 (or @t418 @t447 @t451 @t450))) % 0.50/0.99 (assume @p496 (forall @t448 (or @t418 (tptp.c_lessequals @t220 @t105 @t1) @t451 @t445))) % 0.50/0.99 (assume @p497 (forall @t23 (or @t161 (tptp.c_lessequals @t2 @t148 @t1)))) % 0.50/0.99 (assume @p498 (forall @t16 (or @t419 @t167 @t52))) % 0.50/0.99 (assume @p499 (forall @t299 (or @t419 @t450 @t429))) % 0.50/0.99 (assume @p500 (forall @t299 (or @t313 @t422 @t420))) % 0.50/0.99 (assume @p501 (forall (@list @t253 @t220) (or @t453 @t452))) % 0.50/0.99 (assume @p502 (forall @t113 (or @t313 @t429 @t450))) % 0.50/0.99 (assume @p503 (forall @t12 (or @t418 @t52 @t167))) % 0.50/0.99 (assume @p504 (forall @t89 (or @t454 (tptp.c_lessequals @t410 @t426 @t1) @t85 @t69))) % 0.50/0.99 (assume @p505 (forall @t12 (or @t425 (tptp.c_lessequals @t2 @t115 @t1) @t79 @t63))) % 0.50/0.99 (assume @p506 (forall (@list @t1 @t105 @t109 @t220 @t205) (or @t100 (not (= @t363 (tptp.c_HOL_Oplus__class_Oplus @t109 @t205 @t1))) (= @t455 @t205)))) % 0.50/0.99 (assume @p507 (forall @t120 (or @t456 (not (= @t2 @t121))))) % 0.50/0.99 (assume @p508 (not @t457)) % 0.50/0.99 (assume @p509 (forall @t12 (or @t425 @t424 @t79 @t15))) % 0.50/0.99 (assume @p510 (forall @t12 (or @t425 @t424 @t8 @t63))) % 0.50/0.99 (assume @p511 (forall @t120 (or @t161 (tptp.c_lessequals @t433 @t2 @t1)))) % 0.50/0.99 (assume @p512 (forall @t55 (or @t459 (not (= @t415 @t414)) @t458))) % 0.50/0.99 (assume @p513 (forall @t168 (or @t459 @t460 @t458))) % 0.50/0.99 (assume @p514 (forall @t168 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t460 @t458))) % 0.50/0.99 (assume @p515 (forall @t221 (or @t107 @t106 (not (= @t200 @t455)) @t353))) % 0.50/0.99 (assume @p516 (forall @t152 (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t115 @t461 @t1) (tptp.c_HOL_Oplus__class_Oplus @t410 @t426 @t1))))) % 0.50/0.99 (assume @p517 (forall @t120 (or @t126 (tptp.c_HOL_Oord__class_Oless @t2 @t143 @t1)))) % 0.50/0.99 (assume @p518 (forall @t120 (or @t22 (= (tptp.c_HOL_Oabs__class_Oabs @t121 @t1) @t121)))) % 0.50/0.99 (assume @p519 (forall @t23 (or @t94 @t462 @t15))) % 0.50/0.99 (assume @p520 (forall @t23 (or @t94 @t14 (not @t462)))) % 0.50/0.99 (assume @p521 @t463) % 0.50/0.99 (assume @p522 (forall @t16 (or @t418 @t50 @t76 @t241))) % 0.50/0.99 (assume @p523 (forall @t113 (or @t313 @t244 @t423 @t421))) % 0.50/0.99 (assume @p524 (forall @t113 (or @t313 @t244 @t421 @t423))) % 0.50/0.99 (assume @p525 (forall @t12 (or @t418 @t51 @t69 @t241))) % 0.50/0.99 (assume @p526 (forall @t12 (or @t418 @t51 @t241 @t69))) % 0.50/0.99 (assume @p527 (forall @t180 (or @t270 @t244 @t319))) % 0.50/0.99 (assume @p528 (forall @t113 (or @t418 @t244 @t423 @t421))) % 0.50/0.99 (assume @p529 (forall @t113 (or @t418 @t423 @t244 @t421))) % 0.50/0.99 (assume @p530 @t464) % 0.50/0.99 (assume @p531 (forall @t404 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_Complex_ORe @t403) tptp.tc_RealDef_Oreal) @t465 tptp.tc_RealDef_Oreal))) % 0.50/0.99 (assume @p532 (forall @t55 (or @t126 @t411 @t466 @t15))) % 0.50/0.99 (assume @p533 (forall @t23 (or @t126 (tptp.c_HOL_Oord__class_Oless @t3 @t145 @t1)))) % 0.50/0.99 (assume @p534 (forall @t74 (or @t413 @t467 @t69))) % 0.50/0.99 (assume @p535 (forall @t168 (or @t413 @t68 (not @t467)))) % 0.50/0.99 (assume @p536 (forall @t39 (or @t413 @t468 @t69))) % 0.50/0.99 (assume @p537 (forall @t168 (or @t413 @t68 (not @t468)))) % 0.50/0.99 (assume @p538 (forall @t74 (or @t454 @t467 @t69))) % 0.50/0.99 (assume @p539 (forall @t39 (or @t454 @t468 @t69))) % 0.50/0.99 (assume @p540 (forall @t276 (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t220 @t105 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t220 @t109 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t319))) % 0.50/0.99 (assume @p541 (forall @t23 (or @t161 @t431 @t63))) % 0.50/0.99 (assume @p542 (forall @t299 (or @t22 @t449 @t423 @t244))) % 0.50/0.99 (assume @p543 (forall @t113 (or @t313 @t244 @t449 @t423))) % 0.50/0.99 (assume @p544 (forall @t113 (or @t313 @t244 @t423 @t449))) % 0.50/0.99 (assume @p545 (forall @t299 (or @t313 @t449 @t244 @t423))) % 0.50/0.99 (assume @p546 (forall @t113 (or @t418 @t244 @t421 @t445))) % 0.50/0.99 (assume @p547 (forall @t113 (or @t418 @t244 @t445 @t421))) % 0.50/0.99 (assume @p548 (forall @t299 (or @t313 @t449 @t423 @t244))) % 0.50/0.99 (assume @p549 (forall @t254 (or (= @t220 @t253) (not @t453) (not @t452)))) % 0.50/0.99 (assume @p550 (forall @t74 (or @t312 (tptp.c_lessequals @t3 (tptp.c_HOL_Oplus__class_Oplus @t32 @t150 @t1) @t1) (not (tptp.c_lessequals @t115 @t32 @t1))))) % 0.50/0.99 (assume @p551 (forall @t23 (or @t161 @t30 (not (tptp.c_lessequals @t148 @t2 @t1))))) % 0.50/0.99 (assume @p552 (forall @t12 (or @t425 @t469 @t18 @t60))) % 0.50/0.99 (assume @p553 (forall @t12 (or @t425 @t469 @t81 @t5))) % 0.50/0.99 (assume @p554 (forall @t120 (or @t456 (not (= @t121 @t2))))) % 0.50/0.99 (assume @p555 (forall @t23 (or @t94 @t470 @t5))) % 0.50/0.99 (assume @p556 (forall @t23 (or @t94 @t4 @t471))) % 0.50/0.99 (assume @p557 (forall @t23 (or @t22 @t4 @t471))) % 0.50/0.99 (assume @p558 (forall @t23 (or @t22 @t470 @t5))) % 0.50/0.99 (assume @p559 @t474) % 0.50/0.99 (assume @p560 (forall @t113 (or @t425 @t472 @t309 @t308 @t108))) % 0.50/0.99 (assume @p561 (forall @t23 (or @t94 (not (= @t407 @t2)) @t30))) % 0.50/0.99 (assume @p562 (forall (@list @t1 @t105 @t3) (or @t107 @t106 (not (= @t105 (tptp.c_HOL_Oplus__class_Oplus @t105 @t3 @t1))) @t30))) % 0.50/0.99 (assume @p563 (forall @t55 (or @t413 @t412 @t475 @t76 @t70))) % 0.50/0.99 (assume @p564 (forall @t55 (or @t413 @t412 @t475 @t409 @t63))) % 0.50/0.99 (assume @p565 (forall @t12 (or @t161 @t68 @t159))) % 0.50/0.99 (assume @p566 (forall @t290 (or @t289 @t286))) % 0.50/0.99 (assume @p567 (forall @t120 (or @t425 @t477 @t477 @t476))) % 0.50/0.99 (assume @p568 (forall @t120 (or @t94 @t476))) % 0.50/0.99 (assume @p569 (forall @t448 (or @t418 @t447 @t446 @t450))) % 0.50/0.99 (assume @p570 (forall @t443 (or @t419 @t442 @t441 @t429))) % 0.50/0.99 (assume @p571 (forall @t120 (or @t161 (= @t433 @t2)))) % 0.50/0.99 (assume @p572 (forall @t168 (or @t412 (= @t478 (tptp.c_HOL_Oplus__class_Oplus @t6 @t410 @t1))))) % 0.50/0.99 (assume @p573 (forall @t168 (or @t412 @t480))) % 0.50/0.99 (assume @p574 (forall @t221 (or @t144 (= @t363 (tptp.c_HOL_Oplus__class_Oplus @t200 @t220 @t1))))) % 0.50/0.99 (assume @p575 (forall @t221 (or @t100 (= @t363 (tptp.c_HOL_Oplus__class_Oplus @t109 @t455 @t1))))) % 0.50/0.99 (assume @p576 (forall @t168 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t480))) % 0.50/0.99 (assume @p577 (forall @t482 (or @t144 (= @t481 (tptp.c_HOL_Oplus__class_Oplus @t410 @t84 @t1))))) % 0.50/0.99 (assume @p578 (forall @t168 (or @t144 (= @t479 (tptp.c_HOL_Oplus__class_Oplus @t410 @t6 @t1))))) % 0.50/0.99 (assume @p579 (forall @t482 (or @t144 (= @t481 (tptp.c_HOL_Oplus__class_Oplus @t32 (tptp.c_HOL_Oplus__class_Oplus @t3 @t84 @t1) @t1))))) % 0.50/0.99 (assume @p580 (forall @t168 (or @t144 @t480))) % 0.50/0.99 (assume @p581 (forall @t12 (or @t161 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t115 @t1) @t432 @t1)))) % 0.50/0.99 (assume @p582 (forall @t299 (or @t419 @t445 @t429))) % 0.50/0.99 (assume @p583 (forall @t113 (or @t313 @t423 @t422))) % 0.50/0.99 (assume @p584 (forall @t131 (or @t313 (not @t438) @t417))) % 0.50/0.99 (assume @p585 (forall @t131 (or @t313 @t416 @t438))) % 0.50/0.99 (assume @p586 (forall @t113 (or @t313 @t429 @t445))) % 0.50/0.99 (assume @p587 (forall @t299 (or @t313 @t422 @t423))) % 0.50/0.99 (assume @p588 (forall @t299 (or @t313 @t449 @t420))) % 0.50/0.99 (assume @p589 (forall @t113 (or @t313 @t421 @t450))) % 0.50/0.99 (assume @p590 (forall @t55 (or @t413 @t412 @t411 @t466 @t63))) % 0.50/0.99 (assume @p591 (forall @t12 (or @t425 @t469 @t18 @t5))) % 0.50/0.99 (assume @p592 (forall @t23 (or @t161 @t431 @t15))) % 0.50/0.99 (assume @p593 (forall @t23 (or @t484 @t483))) % 0.50/0.99 (assume @p594 (forall @t23 (or @t484 @t485))) % 0.50/0.99 (assume @p595 (forall @t23 (or @t412 @t483))) % 0.50/0.99 (assume @p596 (forall @t131 (or @t107 @t106 (= @t105 (tptp.c_HOL_Oplus__class_Oplus @t105 @t2 @t1))))) % 0.50/0.99 (assume @p597 (forall @t131 (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t105 @t1) @t105)))) % 0.50/0.99 (assume @p598 (forall @t23 (or @t412 @t485))) % 0.50/0.99 (assume @p599 (forall @t23 (or @t144 @t483))) % 0.50/0.99 (assume @p600 (forall @t23 (or @t144 @t485))) % 0.50/0.99 (assume @p601 (forall @t89 (or @t428 @t427 @t85 @t52))) % 0.50/0.99 (assume @p602 (forall @t89 (or @t428 @t427 @t292 @t69))) % 0.50/0.99 (assume @p603 (or (not @t489) @t487)) % 0.50/0.99 (assume @p604 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p605 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p606 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p607 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p608 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p609 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p610 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p611 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p612 @t490) % 0.50/0.99 (assume @p613 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p614 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p615 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p616 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p617 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p618 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p619 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p620 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p621 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p622 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p623 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p624 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p625 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p626 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p627 @t491) % 0.50/0.99 (assume @p628 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p629 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p630 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p631 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p632 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p633 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p634 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p635 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p636 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p637 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p638 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p639 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p640 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p641 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p642 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p643 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p644 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p645 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p646 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p647 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p648 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p649 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p650 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p651 (tptp.class_Ring__and__Field_Osgn__if tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p652 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p653 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p654 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p655 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p656 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p657 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p658 @t492) % 0.50/0.99 (assume @p659 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p660 (tptp.class_SEQ_Obanach tptp.tc_RealDef_Oreal)) % 0.50/0.99 (assume @p661 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p662 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p663 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p664 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p665 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p666 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p667 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p668 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p669 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p670 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p671 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p672 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p673 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p674 (tptp.class_Ring__and__Field_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p675 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p676 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p677 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p678 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p679 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p680 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p681 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p682 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p683 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p684 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p685 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p686 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p687 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p688 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (assume @p689 (tptp.class_SEQ_Obanach tptp.tc_Complex_Ocomplex)) % 0.50/0.99 (step @p690 :rule instantiate :premises (@p531) :args ((@list @t488))) % 0.50/0.99 (step @p691 :rule chain_m_resolution :premises (@p603 @p690) :args (@t487 @t493 (@list @t489))) % 0.50/0.99 (step @p692 :rule refl :args (@t495)) % 0.50/0.99 (step @p693 :rule eq-symm :args (@t465 @t139)) % 0.50/0.99 (step @p694 :rule refl :args (@t486)) % 0.50/0.99 (step @p695 :rule refl :args (@t496)) % 0.50/0.99 (step @p696 :rule nary_cong :premises (@p695 @p694 @p693 @p692) :args (@t497)) % 0.50/0.99 (step @p697 :rule refl :args (@t463)) % 0.50/0.99 (step @p698 :rule cong :premises (@p697 @p696) :args ((=> @t463 @t497))) % 0.50/0.99 (assume-push @p730 @t463) % 0.50/0.99 (step @p700 :rule instantiate :premises (@p521) :args ((@list tptp.tc_RealDef_Oreal @t139 @t465))) % 0.50/0.99 (step-pop @p731 :rule scope :premises (@p700)) % 0.50/0.99 (step @p701 :rule process_scope :premises (@p731) :args (@t497)) % 0.50/0.99 (step @p703 :rule eq_resolve :premises (@p701 @p698)) % 0.50/0.99 (step @p704 :rule implies_elim :premises (@p703)) % 0.50/0.99 (step @p705 :rule chain_m_resolution :premises (@p704 @p521) :args (@t499 @t493 (@list @t463))) % 0.50/0.99 (step @p706 :rule instantiate :premises (@p505) :args (@t500)) % 0.50/0.99 (step @p707 :rule instantiate :premises (@p456) :args ((@list tptp.tc_RealDef_Oreal))) % 0.50/0.99 (step @p708 :rule cnf_or_pos :args (@t503)) % 0.50/0.99 (step @p709 :rule reordering :premises (@p708) :args ((or @t502 @t501 (not @t503)))) % 0.50/0.99 (step @p710 :rule chain_m_resolution :premises (@p709 @p627 @p707) :args (@t501 (@list false false) (@list @t491 @t503))) % 0.50/0.99 (step @p711 :rule cnf_or_pos :args (@t507)) % 0.50/0.99 (step @p712 :rule reordering :premises (@p711) :args ((or @t504 @t506 @t505 @t494 (not @t507)))) % 0.50/0.99 (step @p713 :rule chain_m_resolution :premises (@p712 @p530 @p612 @p710 @p706) :args (@t494 (@list false false false false) (@list @t464 @t490 @t501 @t507))) % 0.50/0.99 (step @p714 :rule eq-symm :args (@t109 @t2)) % 0.50/0.99 (step @p715 :rule refl :args (@t308)) % 0.50/0.99 (step @p716 :rule refl :args (@t309)) % 0.50/0.99 (step @p717 :rule eq-symm :args (@t200 @t2)) % 0.50/0.99 (step @p718 :rule cong :premises (@p717) :args (@t472)) % 0.50/0.99 (step @p719 :rule refl :args (@t425)) % 0.50/0.99 (step @p720 :rule nary_cong :premises (@p719 @p718 @p716 @p715 @p714) :args (@t473)) % 0.50/0.99 (step @p721 :rule cong :premises (@p720) :args (@t474)) % 0.50/0.99 (step @p722 :rule eq_resolve :premises (@p559 @p721)) % 0.50/0.99 (step @p723 :rule instantiate :premises (@p722) :args (@t500)) % 0.50/0.99 (step @p724 :rule cnf_or_pos :args (@t509)) % 0.50/0.99 (step @p725 :rule reordering :premises (@p724) :args ((or @t457 @t504 @t506 @t505 @t508 (not @t509)))) % 0.50/0.99 (step @p726 :rule chain_m_resolution :premises (@p725 @p508 @p530 @p612 @p710 @p723) :args (@t508 (@list true false false false false) (@list @t457 @t464 @t490 @t501 @t509))) % 0.50/0.99 (step @p727 :rule cnf_or_pos :args (@t499)) % 0.50/0.99 (step @p728 :rule reordering :premises (@p727) :args ((or @t486 @t496 @t498 @t495 (not @t499)))) % 0.50/0.99 (step @p729 false :rule chain_m_resolution :premises (@p728 @p726 @p713 @p705 @p691 @p658) :args (false (@list true false false true false) (@list @t498 @t494 @t499 @t486 @t492))) % 0.50/0.99 ) % 0.50/0.99 % SZS output end Proof % 0.50/0.99 % cvc5 exiting %------------------------------------------------------------------------------