%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG354-1 : 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 : n003.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 08:05:49 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.80s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG354-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:08:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.59 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.80 % SZS status Unsatisfiable % 0.44/0.80 % SZS output start Proof % 0.44/0.82 ( % 0.44/0.82 (declare-sort $$unsorted 0) % 0.44/0.82 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.v_na____ $$unsorted) % 0.44/0.82 (declare-const tptp.v_thesis____ Bool) % 0.44/0.82 (declare-const tptp.v_b $$unsorted) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.tc_nat $$unsorted) % 0.44/0.82 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.44/0.82 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.82 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.v_m____ $$unsorted) % 0.44/0.82 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.44/0.82 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.44/0.82 (define @t1 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.44/0.82 (define @t2 () (tptp.c_Suc @t1)) % 0.44/0.82 (define @t3 () (@var "V_n" $$unsorted)) % 0.44/0.82 (define @t4 () (= @t3 @t1)) % 0.44/0.82 (define @t5 () (@list @t3)) % 0.44/0.82 (define @t6 () (@var "V_x" $$unsorted)) % 0.44/0.82 (define @t7 () (@list @t6)) % 0.44/0.82 (define @t8 () (tptp.c_Suc @t6)) % 0.44/0.82 (define @t9 () (tptp.c_Suc @t3)) % 0.44/0.82 (define @t10 () (@var "T_a" $$unsorted)) % 0.44/0.82 (define @t11 () (tptp.c_HOL_Oone__class_Oone @t10)) % 0.44/0.82 (define @t12 () (tptp.c_Power_Opower__class_Opower @t6 @t1 @t10)) % 0.44/0.82 (define @t13 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t10))) % 0.44/0.82 (define @t14 () (@list @t10 @t6)) % 0.44/0.82 (define @t15 () (@var "V_a" $$unsorted)) % 0.44/0.82 (define @t16 () (tptp.c_Power_Opower__class_Opower @t15 @t1 @t10)) % 0.44/0.82 (define @t17 () (not (tptp.class_Power_Opower @t10))) % 0.44/0.82 (define @t18 () (@list @t10 @t15)) % 0.44/0.82 (define @t19 () (tptp.c_HOL_Ozero__class_Ozero @t10)) % 0.44/0.82 (define @t20 () (tptp.c_Power_Opower__class_Opower @t19 @t3 @t10)) % 0.44/0.82 (define @t21 () (= @t20 @t19)) % 0.44/0.82 (define @t22 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t10))) % 0.44/0.82 (define @t23 () (@list @t10 @t3)) % 0.44/0.82 (define @t24 () (not (tptp.class_Ring__and__Field_Omult__zero @t10))) % 0.44/0.82 (define @t25 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t10))) % 0.44/0.82 (define @t26 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t10))) % 0.44/0.82 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t1 @t3 tptp.tc_nat)) % 0.44/0.82 (define @t28 () (@var "V_nat_H" $$unsorted)) % 0.44/0.82 (define @t29 () (tptp.c_Suc @t28)) % 0.44/0.82 (define @t30 () (@list @t28)) % 0.44/0.82 (define @t31 () (@var "V_m" $$unsorted)) % 0.44/0.82 (define @t32 () (tptp.c_Suc @t31)) % 0.44/0.82 (define @t33 () (@list @t31)) % 0.44/0.82 (define @t34 () (not (tptp.class_Ring__and__Field_Oordered__idom @t10))) % 0.44/0.82 (define @t35 () (@list @t10)) % 0.44/0.82 (define @t36 () (@var "V_b" $$unsorted)) % 0.44/0.82 (define @t37 () (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t10)) % 0.44/0.82 (define @t38 () (tptp.c_HOL_Otimes__class_Otimes @t37 @t36 @t10)) % 0.44/0.82 (define @t39 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t36 @t10)) % 0.44/0.82 (define @t40 () (tptp.c_HOL_Ouminus__class_Ouminus @t39 @t10)) % 0.44/0.82 (define @t41 () (not (tptp.class_Ring__and__Field_Oring @t10))) % 0.44/0.82 (define @t42 () (@list @t10 @t15 @t36)) % 0.44/0.82 (define @t43 () (tptp.c_HOL_Ouminus__class_Ouminus @t36 @t10)) % 0.44/0.82 (define @t44 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t43 @t10)) % 0.44/0.82 (define @t45 () (not (tptp.class_RealVector_Oreal__normed__algebra @t10))) % 0.44/0.82 (define @t46 () (@var "V_y" $$unsorted)) % 0.44/0.82 (define @t47 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t46 @t10)) % 0.44/0.82 (define @t48 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t10)) % 0.44/0.82 (define @t49 () (@list @t10 @t6 @t46)) % 0.44/0.82 (define @t50 () (@var "V_xa" $$unsorted)) % 0.44/0.82 (define @t51 () (tptp.c_HOL_Otimes__class_Otimes @t50 @t6 @t10)) % 0.44/0.82 (define @t52 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t36 @t10)) % 0.44/0.82 (define @t53 () (not (tptp.class_Ring__and__Field_Oidom @t10))) % 0.44/0.82 (define @t54 () (@list @t10 @t36)) % 0.44/0.82 (define @t55 () (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t15 @t10) @t19)) % 0.44/0.82 (define @t56 () (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t19 @t10) @t19)) % 0.44/0.82 (define @t57 () (@list @t10 @t46)) % 0.44/0.82 (define @t58 () (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t36 @t10) @t19)) % 0.44/0.82 (define @t59 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t10))) % 0.44/0.82 (define @t60 () (@var "V_c" $$unsorted)) % 0.44/0.82 (define @t61 () (tptp.c_HOL_Oinverse__class_Odivide @t36 @t60 @t10)) % 0.44/0.82 (define @t62 () (tptp.c_HOL_Oord__class_Oless @t61 @t15 @t10)) % 0.44/0.82 (define @t63 () (not @t62)) % 0.44/0.82 (define @t64 () (tptp.c_HOL_Oord__class_Oless @t19 @t60 @t10)) % 0.44/0.82 (define @t65 () (not @t64)) % 0.44/0.82 (define @t66 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t60 @t10)) % 0.44/0.82 (define @t67 () (tptp.c_HOL_Oord__class_Oless @t36 @t66 @t10)) % 0.44/0.82 (define @t68 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t10))) % 0.44/0.82 (define @t69 () (not (tptp.class_Ring__and__Field_Oordered__field @t10))) % 0.44/0.82 (define @t70 () (@list @t10 @t36 @t15 @t60)) % 0.44/0.82 (define @t71 () (not @t67)) % 0.44/0.82 (define @t72 () (@list @t10 @t36 @t60 @t15)) % 0.44/0.82 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t15 @t61 @t10)) % 0.44/0.82 (define @t74 () (not @t73)) % 0.44/0.82 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t66 @t36 @t10)) % 0.44/0.82 (define @t76 () (@list @t10 @t15 @t60 @t36)) % 0.44/0.82 (define @t77 () (not @t75)) % 0.44/0.82 (define @t78 () (@list @t10 @t15 @t36 @t60)) % 0.44/0.82 (define @t79 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t46 @t10))) % 0.44/0.82 (define @t80 () (@var "V_z" $$unsorted)) % 0.44/0.82 (define @t81 () (tptp.c_HOL_Otimes__class_Otimes @t80 @t46 @t10)) % 0.44/0.82 (define @t82 () (tptp.c_HOL_Oinverse__class_Odivide @t6 @t46 @t10)) % 0.44/0.82 (define @t83 () (@list @t10 @t6 @t46 @t80)) % 0.44/0.82 (define @t84 () (@list @t10 @t80 @t6 @t46)) % 0.44/0.82 (define @t85 () (tptp.c_HOL_Oord__class_Oless @t60 @t19 @t10)) % 0.44/0.82 (define @t86 () (not @t85)) % 0.44/0.82 (define @t87 () (tptp.c_HOL_Oord__class_Oless @t19 @t15 @t10)) % 0.44/0.82 (define @t88 () (not @t87)) % 0.44/0.82 (define @t89 () (tptp.c_HOL_Oord__class_Oless @t15 @t19 @t10)) % 0.44/0.82 (define @t90 () (not @t89)) % 0.44/0.82 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t36 @t15 @t10)) % 0.44/0.82 (define @t92 () (not @t91)) % 0.44/0.82 (define @t93 () (tptp.c_HOL_Oord__class_Oless @t19 @t39 @t10)) % 0.44/0.82 (define @t94 () (not @t93)) % 0.44/0.82 (define @t95 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oinverse__class_Odivide @t60 @t15 @t10) (tptp.c_HOL_Oinverse__class_Odivide @t60 @t36 @t10) @t10)) % 0.44/0.82 (define @t96 () (@list @t10 @t60 @t15 @t36)) % 0.44/0.82 (define @t97 () (tptp.c_HOL_Oord__class_Oless @t15 @t36 @t10)) % 0.44/0.82 (define @t98 () (not @t97)) % 0.44/0.82 (define @t99 () (tptp.c_HOL_Oord__class_Oless @t15 @t43 @t10)) % 0.44/0.82 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t36 @t37 @t10)) % 0.44/0.82 (define @t101 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t10))) % 0.44/0.82 (define @t102 () (@list @t10 @t36 @t15)) % 0.44/0.82 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t37 @t36 @t10)) % 0.44/0.82 (define @t104 () (tptp.c_HOL_Oord__class_Oless @t43 @t15 @t10)) % 0.44/0.82 (define @t105 () (tptp.c_HOL_Oord__class_Oless @t43 @t37 @t10)) % 0.44/0.82 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t32 @t9 tptp.tc_nat)) % 0.44/0.82 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t31 @t3 tptp.tc_nat)) % 0.44/0.82 (define @t108 () (@list @t31 @t3)) % 0.44/0.82 (define @t109 () (not @t107)) % 0.44/0.82 (define @t110 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t15 @t10))) % 0.44/0.82 (define @t111 () (tptp.c_Power_Opower__class_Opower @t15 @t3 @t10)) % 0.44/0.82 (define @t112 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t10))) % 0.44/0.82 (define @t113 () (@list @t10 @t15 @t3)) % 0.44/0.82 (define @t114 () (@var "V_w" $$unsorted)) % 0.44/0.82 (define @t115 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t80 @t10)) % 0.44/0.82 (define @t116 () (not (tptp.class_Ring__and__Field_Ofield @t10))) % 0.44/0.82 (define @t117 () (= @t15 @t19)) % 0.44/0.82 (define @t118 () (= @t36 @t19)) % 0.44/0.82 (define @t119 () (not (= @t39 @t19))) % 0.44/0.82 (define @t120 () (= @t15 @t36)) % 0.44/0.82 (define @t121 () (= @t15 @t43)) % 0.44/0.82 (define @t122 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t15 @t10)) % 0.44/0.82 (define @t123 () (= @t46 @t19)) % 0.44/0.82 (define @t124 () (= @t80 @t19)) % 0.44/0.82 (define @t125 () (tptp.c_HOL_Otimes__class_Otimes @t46 @t80 @t10)) % 0.44/0.82 (define @t126 () (tptp.c_HOL_Otimes__class_Otimes @t114 @t46 @t10)) % 0.44/0.82 (define @t127 () (tptp.c_HOL_Oinverse__class_Odivide @t114 @t80 @t10)) % 0.44/0.82 (define @t128 () (@list @t10 @t6 @t46 @t114 @t80)) % 0.44/0.82 (define @t129 () (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus @t6 @t81 @t10) @t46 @t10)) % 0.44/0.82 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t19 @t36 @t10)) % 0.44/0.82 (define @t131 () (not @t130)) % 0.44/0.82 (define @t132 () (tptp.c_HOL_Oinverse__class_Odivide @t11 @t36 @t10)) % 0.44/0.82 (define @t133 () (tptp.c_HOL_Oord__class_Oless @t19 @t132 @t10)) % 0.44/0.82 (define @t134 () (tptp.c_HOL_Oord__class_Oless @t36 @t19 @t10)) % 0.44/0.82 (define @t135 () (not @t134)) % 0.44/0.82 (define @t136 () (tptp.c_HOL_Oord__class_Oless @t132 @t19 @t10)) % 0.44/0.82 (define @t137 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t36 @t10)) % 0.44/0.82 (define @t138 () (tptp.c_HOL_Ouminus__class_Ouminus @t137 @t10)) % 0.44/0.82 (define @t139 () (not (tptp.class_OrderedGroup_Oab__group__add @t10))) % 0.44/0.82 (define @t140 () (not (tptp.class_OrderedGroup_Ogroup__add @t10))) % 0.44/0.82 (define @t141 () (tptp.c_HOL_Oplus__class_Oplus @t46 @t80 @t10)) % 0.44/0.82 (define @t142 () (tptp.c_HOL_Ouminus__class_Ouminus @t80 @t10)) % 0.44/0.82 (define @t143 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t15 @t10)) % 0.44/0.82 (define @t144 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t10))) % 0.44/0.82 (define @t145 () (not (tptp.class_Int_Onumber__ring @t10))) % 0.44/0.82 (define @t146 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t141 @t10)) % 0.44/0.82 (define @t147 () (= (tptp.c_HOL_Oplus__class_Oplus @t15 @t19 @t10) @t15)) % 0.44/0.82 (define @t148 () (not (tptp.class_OrderedGroup_Omonoid__add @t10))) % 0.44/0.82 (define @t149 () (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t15 @t10) @t15)) % 0.44/0.82 (define @t150 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t10))) % 0.44/0.82 (define @t151 () (tptp.c_HOL_Oinverse__class_Odivide @t15 @t60 @t10)) % 0.44/0.82 (define @t152 () (@var "V_ya" $$unsorted)) % 0.44/0.82 (define @t153 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t46 @t10)) % 0.44/0.82 (define @t154 () (not (tptp.class_RealVector_Oreal__normed__field @t10))) % 0.44/0.82 (define @t155 () (@list @t10 @t6 @t46 @t152)) % 0.44/0.82 (define @t156 () (not (= @t111 @t19))) % 0.44/0.82 (define @t157 () (tptp.c_Power_Opower__class_Opower @t36 @t3 @t10)) % 0.44/0.82 (define @t158 () (tptp.c_HOL_Oinverse__class_Odivide @t15 @t36 @t10)) % 0.44/0.82 (define @t159 () (= (tptp.c_Power_Opower__class_Opower @t158 @t3 @t10) (tptp.c_HOL_Oinverse__class_Odivide @t111 @t157 @t10))) % 0.44/0.82 (define @t160 () (@list @t10 @t15 @t36 @t3)) % 0.44/0.82 (define @t161 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.44/0.82 (define @t162 () (@list @t80)) % 0.44/0.82 (define @t163 () (tptp.c_RealVector_Onorm__class_Onorm @t6 @t10)) % 0.44/0.82 (define @t164 () (not (tptp.class_RealVector_Oreal__normed__vector @t10))) % 0.44/0.82 (define @t165 () (@var "V_N" $$unsorted)) % 0.44/0.82 (define @t166 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t165 tptp.tc_nat))) % 0.44/0.82 (define @t167 () (not (tptp.c_HOL_Oord__class_Oless @t15 @t11 @t10))) % 0.44/0.82 (define @t168 () (tptp.c_Power_Opower__class_Opower @t15 @t165 @t10)) % 0.44/0.82 (define @t169 () (tptp.c_Power_Opower__class_Opower @t15 @t9 @t10)) % 0.44/0.82 (define @t170 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t60 @t10)) % 0.44/0.82 (define @t171 () (tptp.c_HOL_Oord__class_Oless @t66 @t170 @t10)) % 0.44/0.82 (define @t172 () (not @t171)) % 0.44/0.82 (define @t173 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t10))) % 0.44/0.82 (define @t174 () (tptp.c_HOL_Otimes__class_Otimes @t60 @t36 @t10)) % 0.44/0.82 (define @t175 () (tptp.c_HOL_Otimes__class_Otimes @t60 @t15 @t10)) % 0.44/0.82 (define @t176 () (tptp.c_HOL_Oord__class_Oless @t175 @t174 @t10)) % 0.44/0.82 (define @t177 () (not @t176)) % 0.44/0.82 (define @t178 () (tptp.c_HOL_Otimes__class_Otimes @t36 @t15 @t10)) % 0.44/0.82 (define @t179 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t10))) % 0.44/0.82 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t39 @t19 @t10)) % 0.44/0.82 (define @t181 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t10))) % 0.44/0.82 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t19 @t143 @t10)) % 0.44/0.82 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t60 @t10)) % 0.44/0.82 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t143 @t19 @t10)) % 0.44/0.82 (define @t185 () (not @t184)) % 0.44/0.82 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t19 @t10)) % 0.44/0.82 (define @t187 () (tptp.c_HOL_Oplus__class_Oplus @t186 @t186 @t10)) % 0.44/0.82 (define @t188 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t6 @t10)) % 0.44/0.82 (define @t189 () (tptp.c_HOL_Oplus__class_Oplus @t188 (tptp.c_HOL_Otimes__class_Otimes @t46 @t46 @t10) @t10)) % 0.44/0.82 (define @t190 () (not (= @t189 @t19))) % 0.44/0.82 (define @t191 () (= @t6 @t19)) % 0.44/0.82 (define @t192 () (@var "V_r" $$unsorted)) % 0.44/0.82 (define @t193 () (@var "V_d" $$unsorted)) % 0.44/0.82 (define @t194 () (= @t60 @t193)) % 0.44/0.82 (define @t195 () (tptp.c_HOL_Ouminus__class_Ouminus @t11 @t10)) % 0.44/0.82 (define @t196 () (tptp.c_Power_Opower__class_Opower @t6 @t3 @t10)) % 0.44/0.82 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t6 @t19 @t10)) % 0.44/0.82 (define @t198 () (@list @t10 @t6 @t3)) % 0.44/0.82 (define @t199 () (@var "V_q" $$unsorted)) % 0.44/0.82 (define @t200 () (tptp.c_Power_Opower__class_Opower @t6 (tptp.c_Suc @t199) @t10)) % 0.44/0.82 (define @t201 () (tptp.c_Power_Opower__class_Opower @t6 @t199 @t10)) % 0.44/0.82 (define @t202 () (@list @t10 @t6 @t199)) % 0.44/0.82 (define @t203 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t201 @t10)) % 0.44/0.82 (define @t204 () (tptp.c_HOL_Otimes__class_Otimes @t111 @t15 @t10)) % 0.44/0.82 (define @t205 () (not (tptp.class_OrderedGroup_Omonoid__mult @t10))) % 0.44/0.82 (define @t206 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t111 @t10)) % 0.44/0.82 (define @t207 () (tptp.c_RealVector_Onorm__class_Onorm @t46 @t10)) % 0.44/0.82 (define @t208 () (tptp.c_RealVector_Onorm__class_Onorm @t47 @t10)) % 0.44/0.82 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t19 @t189 @t10)) % 0.44/0.82 (define @t210 () (tptp.c_HOL_Ouminus__class_Ouminus @t37 @t10)) % 0.44/0.82 (define @t211 () (not (tptp.class_Lattices_Oboolean__algebra @t10))) % 0.44/0.82 (define @t212 () (tptp.c_HOL_Ouminus__class_Ouminus @t43 @t10)) % 0.44/0.82 (define @t213 () (= @t60 @t19)) % 0.44/0.82 (define @t214 () (tptp.c_HOL_Oord__class_Oless @t158 @t19 @t10)) % 0.44/0.82 (define @t215 () (not @t214)) % 0.44/0.82 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t32 @t3 tptp.tc_nat)) % 0.44/0.82 (define @t217 () (tptp.c_HOL_Oinverse__class_Odivide @t36 @t19 @t10)) % 0.44/0.82 (define @t218 () (= (tptp.c_HOL_Oplus__class_Oplus @t37 @t15 @t10) @t19)) % 0.44/0.82 (define @t219 () (= (tptp.c_HOL_Oinverse__class_Odivide @t37 @t43 @t10) @t158)) % 0.44/0.82 (define @t220 () (= (tptp.c_HOL_Oinverse__class_Odivide @t15 @t15 @t10) @t11)) % 0.44/0.82 (define @t221 () (tptp.c_HOL_Oord__class_Oless @t37 @t19 @t10)) % 0.44/0.82 (define @t222 () (tptp.c_HOL_Ouminus__class_Ouminus @t158 @t10)) % 0.44/0.82 (define @t223 () (= @t222 (tptp.c_HOL_Oinverse__class_Odivide @t15 @t43 @t10))) % 0.44/0.82 (define @t224 () (tptp.c_HOL_Oinverse__class_Odivide @t66 @t60 @t10)) % 0.44/0.82 (define @t225 () (= @t224 @t15)) % 0.44/0.82 (define @t226 () (@list @t10 @t15 @t60)) % 0.44/0.82 (define @t227 () (= @t15 @t224)) % 0.44/0.82 (define @t228 () (@list @t10 @t60 @t15)) % 0.44/0.82 (define @t229 () (= @t6 @t46)) % 0.44/0.82 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t6 @t46 tptp.tc_nat)) % 0.44/0.82 (define @t231 () (= @t31 @t3)) % 0.44/0.82 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t3 @t31 tptp.tc_nat)) % 0.44/0.82 (define @t233 () (@list @t3 @t31)) % 0.44/0.82 (define @t234 () (@var "V_j" $$unsorted)) % 0.44/0.82 (define @t235 () (@var "V_i" $$unsorted)) % 0.44/0.82 (define @t236 () (@var "V_k" $$unsorted)) % 0.44/0.82 (define @t237 () (tptp.c_HOL_Oord__class_Oless @t6 @t8 tptp.tc_nat)) % 0.44/0.82 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t19 @t158 @t10)) % 0.44/0.82 (define @t239 () (not @t238)) % 0.44/0.82 (define @t240 () (tptp.c_HOL_Oord__class_Oless @t31 @t9 tptp.tc_nat)) % 0.44/0.82 (define @t241 () (@var "V_z3" $$unsorted)) % 0.44/0.82 (define @t242 () (@var "V_z2" $$unsorted)) % 0.44/0.82 (define @t243 () (@var "V_z1" $$unsorted)) % 0.44/0.82 (define @t244 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t10))) % 0.44/0.82 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t6 @t6 tptp.tc_nat)) % 0.44/0.82 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t3 @t32 tptp.tc_nat)) % 0.44/0.82 (define @t247 () (not @t246)) % 0.44/0.82 (define @t248 () (not @t197)) % 0.44/0.82 (define @t249 () (not (tptp.c_HOL_Oord__class_Oless @t46 @t19 @t10))) % 0.44/0.82 (define @t250 () (tptp.c_HOL_Oord__class_Oless @t19 @t82 @t10)) % 0.44/0.82 (define @t251 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t6 @t10))) % 0.44/0.82 (define @t252 () (tptp.c_HOL_Oord__class_Oless @t151 @t61 @t10)) % 0.44/0.82 (define @t253 () (@var "V_nat" $$unsorted)) % 0.44/0.82 (define @t254 () (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Otimes__class_Otimes @t19 @t60 @t10) @t60 @t10)) % 0.44/0.82 (define @t255 () (@list @t10 @t60)) % 0.44/0.82 (define @t256 () (not (= @t137 @t19))) % 0.44/0.82 (define @t257 () (tptp.c_HOL_Otimes__class_Otimes @t61 @t60 @t10)) % 0.44/0.82 (define @t258 () (@list @t10 @t36 @t60)) % 0.44/0.82 (define @t259 () (tptp.c_HOL_Ouminus__class_Ouminus @t19 @t10)) % 0.44/0.82 (define @t260 () (= @t259 @t19)) % 0.44/0.82 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t82 @t19 @t10)) % 0.44/0.82 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t19 @t37 @t10)) % 0.44/0.82 (define @t263 () (= @t115 @t126)) % 0.44/0.82 (define @t264 () (= @t82 @t127)) % 0.44/0.82 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t15 @t37 @t10)) % 0.44/0.82 (define @t266 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t11 @t10)) % 0.44/0.82 (define @t267 () (tptp.c_HOL_Oinverse__class_Odivide @t137 @t266 @t10)) % 0.44/0.82 (define @t268 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t36 @t10))) % 0.44/0.82 (define @t269 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Power_Opower__class_Opower @t36 @t6 @t10) (tptp.c_Power_Opower__class_Opower @t36 @t46 @t10) @t10)) % 0.44/0.82 (define @t270 () (tptp.c_Power_Opower__class_Opower @t15 @t31 @t10)) % 0.44/0.82 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t163 @t192 tptp.tc_RealDef_Oreal))) % 0.44/0.82 (define @t272 () (@var "V_s" $$unsorted)) % 0.44/0.82 (define @t273 () (not (tptp.c_HOL_Oord__class_Oless @t207 @t272 tptp.tc_RealDef_Oreal))) % 0.44/0.82 (define @t274 () (@list @t10 @t6 @t46 @t192 @t272)) % 0.44/0.82 (define @t275 () (not (tptp.class_Orderings_Oorder @t10))) % 0.44/0.82 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t46 @t6 @t10)) % 0.44/0.82 (define @t277 () (not @t276)) % 0.44/0.82 (define @t278 () (tptp.c_HOL_Oord__class_Oless @t6 @t46 @t10)) % 0.44/0.82 (define @t279 () (not @t278)) % 0.44/0.82 (define @t280 () (not (tptp.class_Orderings_Olinorder @t10))) % 0.44/0.82 (define @t281 () (not (tptp.class_Orderings_Opreorder @t10))) % 0.44/0.82 (define @t282 () (@list @t10 @t46 @t6)) % 0.44/0.82 (define @t283 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t60 @t10)) % 0.44/0.82 (define @t284 () (tptp.c_HOL_Oord__class_Oless @t183 @t283 @t10)) % 0.44/0.82 (define @t285 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t10))) % 0.44/0.82 (define @t286 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t10))) % 0.44/0.82 (define @t287 () (tptp.c_HOL_Oplus__class_Oplus @t60 @t15 @t10)) % 0.44/0.82 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t287 (tptp.c_HOL_Oplus__class_Oplus @t60 @t36 @t10) @t10)) % 0.44/0.82 (define @t289 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t193 @t10)) % 0.44/0.82 (define @t290 () (@list @t10 @t15 @t60 @t36 @t193)) % 0.44/0.82 (define @t291 () (not (tptp.c_HOL_Oord__class_Oless @t6 @t6 @t10))) % 0.44/0.82 (define @t292 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t11 @t10)) % 0.44/0.82 (define @t293 () (tptp.c_HOL_Otimes__class_Otimes @t292 @t31 @t10)) % 0.44/0.82 (define @t294 () (tptp.c_HOL_Otimes__class_Otimes @t15 @t31 @t10)) % 0.44/0.82 (define @t295 () (= @t46 @t80)) % 0.44/0.82 (define @t296 () (tptp.c_HOL_Oplus__class_Oplus @t36 @t15 @t10)) % 0.44/0.82 (define @t297 () (@var "V_u" $$unsorted)) % 0.44/0.82 (define @t298 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t80 @t10)) % 0.44/0.82 (define @t299 () (= @t36 @t60)) % 0.44/0.82 (define @t300 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t10))) % 0.44/0.82 (define @t301 () (not (= @t137 @t183))) % 0.44/0.82 (define @t302 () (tptp.c_HOL_Oplus__class_Oplus @t60 @t193 @t10)) % 0.44/0.82 (define @t303 () (= (tptp.c_HOL_Otimes__class_Otimes @t137 @t60 @t10) (tptp.c_HOL_Oplus__class_Oplus @t66 @t170 @t10))) % 0.44/0.82 (define @t304 () (tptp.c_HOL_Oplus__class_Oplus @t47 @t115 @t10)) % 0.44/0.82 (define @t305 () (@var "V_a_H" $$unsorted)) % 0.44/0.82 (define @t306 () (@var "V_b_H" $$unsorted)) % 0.44/0.82 (define @t307 () (@var "V_ry" $$unsorted)) % 0.44/0.82 (define @t308 () (@var "V_lx" $$unsorted)) % 0.44/0.82 (define @t309 () (@var "V_rx" $$unsorted)) % 0.44/0.82 (define @t310 () (tptp.c_HOL_Otimes__class_Otimes @t309 @t307 @t10)) % 0.44/0.82 (define @t311 () (tptp.c_HOL_Otimes__class_Otimes @t308 @t310 @t10)) % 0.44/0.82 (define @t312 () (@list @t10 @t308 @t309 @t307)) % 0.44/0.82 (define @t313 () (tptp.c_HOL_Otimes__class_Otimes @t308 @t309 @t10)) % 0.44/0.82 (define @t314 () (@var "V_ly" $$unsorted)) % 0.44/0.82 (define @t315 () (tptp.c_HOL_Otimes__class_Otimes @t308 @t314 @t10)) % 0.44/0.82 (define @t316 () (tptp.c_HOL_Otimes__class_Otimes @t315 @t309 @t10)) % 0.44/0.82 (define @t317 () (@list @t10 @t308 @t314 @t309)) % 0.44/0.82 (define @t318 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t10))) % 0.44/0.82 (define @t319 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t10))) % 0.44/0.82 (define @t320 () (tptp.c_HOL_Otimes__class_Otimes @t315 @t310 @t10)) % 0.44/0.82 (define @t321 () (@list @t10 @t308 @t314 @t309 @t307)) % 0.44/0.82 (define @t322 () (= (tptp.c_HOL_Otimes__class_Otimes @t15 @t11 @t10) @t15)) % 0.44/0.82 (define @t323 () (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t15 @t10) @t15)) % 0.44/0.82 (define @t324 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t60 @t10)) % 0.44/0.82 (define @t325 () (tptp.c_HOL_Otimes__class_Otimes @t6 @t193 @t10)) % 0.44/0.82 (define @t326 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t283 @t10)) % 0.44/0.82 (define @t327 () (tptp.c_HOL_Oplus__class_Oplus @t137 @t60 @t10)) % 0.44/0.82 (define @t328 () (= @t327 @t326)) % 0.44/0.82 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t302 @t10)) % 0.44/0.82 (define @t330 () (@list @t10 @t15 @t60 @t193)) % 0.44/0.82 (define @t331 () (@var "V_e" $$unsorted)) % 0.44/0.82 (define @t332 () (tptp.c_HOL_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (define @t333 () (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t332 (tptp.c_HOL_Otimes__class_Otimes tptp.v_b (tptp.c_Power_Opower__class_Opower @t80 tptp.v_m____ tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t161 tptp.tc_RealDef_Oreal))) % 0.44/0.82 (define @t334 () (forall @t162 (or tptp.v_thesis____ @t333))) % 0.44/0.82 (define @t335 () (tptp.c_HOL_Oord__class_Oless tptp.v_m____ tptp.v_na____ tptp.tc_nat)) % 0.44/0.82 (define @t336 () (= tptp.v_m____ @t1)) % 0.44/0.82 (define @t337 () (not @t335)) % 0.44/0.82 (define @t338 () (tptp.v_sko__CHAINED__1 tptp.v_b tptp.v_m____)) % 0.44/0.82 (define @t339 () (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t332 (tptp.c_HOL_Otimes__class_Otimes tptp.v_b (tptp.c_Power_Opower__class_Opower @t338 tptp.v_m____ tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t161 tptp.tc_RealDef_Oreal)) % 0.44/0.82 (define @t340 () (or @t339 @t336 @t337)) % 0.44/0.82 (define @t341 () (= @t1 tptp.v_m____)) % 0.44/0.82 (define @t342 () (forall @t162 @t333)) % 0.44/0.82 (assume @p1 (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 0.44/0.82 (assume @p2 (forall @t5 (or @t4 (not (tptp.c_HOL_Oord__class_Oless @t3 @t2 tptp.tc_nat))))) % 0.44/0.82 (assume @p3 (forall @t7 (or (= @t6 @t2) (= @t6 @t1) (not (tptp.c_HOL_Oord__class_Oless @t6 (tptp.c_Suc @t2) tptp.tc_nat))))) % 0.44/0.82 (assume @p4 (forall @t7 (tptp.c_HOL_Oord__class_Oless @t1 @t8 tptp.tc_nat))) % 0.44/0.82 (assume @p5 (forall @t5 (tptp.c_HOL_Oord__class_Oless @t1 @t9 tptp.tc_nat))) % 0.44/0.82 (assume @p6 (forall @t14 (or @t13 (= @t12 @t11)))) % 0.44/0.82 (assume @p7 (forall @t18 (or @t17 (= @t16 @t11)))) % 0.44/0.82 (assume @p8 (forall @t23 (or @t22 @t17 @t21 @t4))) % 0.44/0.82 (assume @p9 (forall @t23 (or @t26 @t25 @t24 @t17 @t21 @t4))) % 0.44/0.82 (assume @p10 (forall @t18 (or @t26 @t25 @t24 @t17 (not (= @t16 @t19))))) % 0.44/0.82 (assume @p11 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat))) % 0.44/0.82 (assume @p12 (forall @t5 (or @t27 @t4))) % 0.44/0.82 (assume @p13 (forall @t30 (not (= @t29 @t1)))) % 0.44/0.82 (assume @p14 (forall @t33 (not (= @t32 @t1)))) % 0.44/0.82 (assume @p15 (forall @t5 (not (tptp.c_HOL_Oord__class_Oless @t3 @t1 tptp.tc_nat)))) % 0.44/0.82 (assume @p16 (forall @t33 (not (tptp.c_HOL_Oord__class_Oless @t31 @t1 tptp.tc_nat)))) % 0.44/0.82 (assume @p17 (forall @t30 (not (= @t1 @t29)))) % 0.44/0.82 (assume @p18 (forall @t33 (not (= @t1 @t32)))) % 0.44/0.82 (assume @p19 (forall @t14 (or @t34 (tptp.c_HOL_Oord__class_Oless @t19 @t12 @t10)))) % 0.44/0.82 (assume @p20 (forall @t23 (or @t34 @t4 (not (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t10)) (tptp.c_HOL_Oord__class_Oless @t19 @t19 @t10)))) % 0.44/0.82 (assume @p21 (forall @t35 (or @t22 @t17 (= (tptp.c_Power_Opower__class_Opower @t19 @t1 @t10) @t11)))) % 0.44/0.82 (assume @p22 (forall @t42 (or @t41 (= @t40 @t38)))) % 0.44/0.82 (assume @p23 (forall @t42 (or @t41 (= @t40 @t44)))) % 0.44/0.82 (assume @p24 (forall @t42 (or @t45 (= @t38 @t40)))) % 0.44/0.82 (assume @p25 (forall @t49 (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t48 @t46 @t10) (tptp.c_HOL_Ouminus__class_Ouminus @t47 @t10))))) % 0.44/0.82 (assume @p26 (forall @t42 (or @t45 (= @t44 @t40)))) % 0.44/0.82 (assume @p27 (forall (@list @t10 @t50 @t6) (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t48 @t10) (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t10))))) % 0.44/0.82 (assume @p28 (forall @t54 (or @t53 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t43 @t10) @t52)))) % 0.44/0.82 (assume @p29 (forall @t42 (or @t41 (= (tptp.c_HOL_Otimes__class_Otimes @t37 @t43 @t10) @t39)))) % 0.44/0.82 (assume @p30 (forall @t18 (or @t13 @t55))) % 0.44/0.82 (assume @p31 (forall @t18 (or @t13 @t56))) % 0.44/0.82 (assume @p32 (forall @t57 (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t46 @t10) @t19)))) % 0.44/0.82 (assume @p33 (forall @t54 (or @t45 @t58))) % 0.44/0.82 (assume @p34 (forall @t18 (or @t45 @t56))) % 0.44/0.82 (assume @p35 (forall @t14 (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t19 @t10) @t19)))) % 0.44/0.82 (assume @p36 (forall @t14 (or @t13 (= (tptp.c_HOL_Otimes__class_Otimes @t19 @t6 @t10) @t19)))) % 0.44/0.82 (assume @p37 (forall @t18 (or @t24 @t55))) % 0.44/0.82 (assume @p38 (forall @t18 (or @t24 @t56))) % 0.44/0.82 (assume @p39 (forall @t54 (or @t59 @t58))) % 0.44/0.82 (assume @p40 (forall @t18 (or @t59 @t56))) % 0.44/0.82 (assume @p41 (forall @t42 (or @t41 (= @t38 @t44)))) % 0.44/0.82 (assume @p42 (forall @t70 (or @t69 @t68 @t67 @t65 @t63))) % 0.44/0.82 (assume @p43 (forall @t72 (or @t69 @t68 @t62 @t65 @t71))) % 0.44/0.82 (assume @p44 (forall @t76 (or @t69 @t68 @t75 @t65 @t74))) % 0.44/0.82 (assume @p45 (forall @t78 (or @t69 @t68 @t73 @t65 @t77))) % 0.44/0.82 (assume @p46 (forall @t83 (or @t69 (tptp.c_HOL_Oord__class_Oless @t82 @t80 @t10) (not (tptp.c_HOL_Oord__class_Oless @t6 @t81 @t10)) @t79))) % 0.44/0.82 (assume @p47 (forall @t84 (or @t69 (tptp.c_HOL_Oord__class_Oless @t80 @t82 @t10) (not (tptp.c_HOL_Oord__class_Oless @t81 @t6 @t10)) @t79))) % 0.44/0.82 (assume @p48 (forall @t72 (or @t69 @t68 @t62 @t86 @t77 @t71))) % 0.44/0.82 (assume @p49 (forall @t72 (or @t69 @t68 @t62 @t88 @t77 @t71))) % 0.44/0.82 (assume @p50 (forall @t78 (or @t69 @t68 @t73 @t86 @t71 @t77))) % 0.44/0.82 (assume @p51 (forall @t78 (or @t69 @t68 @t73 @t90 @t71 @t77))) % 0.44/0.82 (assume @p52 (forall @t76 (or @t69 @t68 @t75 @t86 @t64 @t63))) % 0.44/0.82 (assume @p53 (forall @t72 (or @t69 @t68 @t62 @t86 @t77 @t64))) % 0.44/0.82 (assume @p54 (forall @t72 (or @t69 @t68 @t62 @t88 @t77 @t64))) % 0.44/0.82 (assume @p55 (forall @t72 (or @t69 @t68 @t62 @t88 @t85 @t71))) % 0.44/0.82 (assume @p56 (forall @t70 (or @t69 @t68 @t67 @t86 @t64 @t74))) % 0.44/0.82 (assume @p57 (forall @t78 (or @t69 @t68 @t73 @t86 @t71 @t64))) % 0.44/0.82 (assume @p58 (forall @t78 (or @t69 @t68 @t73 @t90 @t71 @t64))) % 0.44/0.82 (assume @p59 (forall @t78 (or @t69 @t68 @t73 @t90 @t85 @t77))) % 0.44/0.82 (assume @p60 (forall @t96 (or @t69 @t95 @t94 @t65 @t92))) % 0.44/0.82 (assume @p61 (forall @t96 (or @t69 @t95 @t94 @t86 @t98))) % 0.44/0.82 (assume @p62 (forall @t102 (or @t101 @t100 (not @t99)))) % 0.44/0.82 (assume @p63 (forall @t42 (or @t101 @t99 (not @t100)))) % 0.44/0.82 (assume @p64 (forall @t102 (or @t101 @t104 (not @t103)))) % 0.44/0.82 (assume @p65 (forall @t42 (or @t101 @t103 (not @t104)))) % 0.44/0.82 (assume @p66 (forall @t42 (or @t101 @t97 (not @t105)))) % 0.44/0.82 (assume @p67 (forall @t102 (or @t101 @t105 @t98))) % 0.44/0.82 (assume @p68 (forall (@list @t6 @t3) (or (tptp.c_HOL_Oord__class_Oless @t8 @t9 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t6 @t3 tptp.tc_nat))))) % 0.44/0.82 (assume @p69 (forall @t108 (or @t107 (not @t106)))) % 0.44/0.82 (assume @p70 (forall @t108 (or @t106 @t109))) % 0.44/0.82 (assume @p71 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t11 @t111 @t10) (not @t27) @t110))) % 0.44/0.82 (assume @p72 (forall (@list @t10 @t6 @t46 @t80 @t114) (or @t116 @t68 (= (tptp.c_HOL_Otimes__class_Otimes @t82 (tptp.c_HOL_Oinverse__class_Odivide @t80 @t114 @t10) @t10) (tptp.c_HOL_Oinverse__class_Odivide @t115 (tptp.c_HOL_Otimes__class_Otimes @t46 @t114 @t10) @t10))))) % 0.44/0.82 (assume @p73 (forall @t42 (or @t59 @t119 @t118 @t117))) % 0.44/0.82 (assume @p74 (forall @t42 (or @t25 @t119 @t118 @t117))) % 0.44/0.82 (assume @p75 (forall @t42 (or @t25 @t119 @t117 @t118))) % 0.44/0.82 (assume @p76 (forall @t42 (or @t53 (not (= @t122 @t52)) @t121 @t120))) % 0.44/0.82 (assume @p77 (forall @t83 (or @t116 @t68 (= (tptp.c_HOL_Otimes__class_Otimes @t82 @t80 @t10) (tptp.c_HOL_Oinverse__class_Odivide @t115 @t46 @t10))))) % 0.44/0.82 (assume @p78 (forall @t128 (or @t116 (= (tptp.c_HOL_Oplus__class_Oplus @t82 @t127 @t10) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oplus__class_Oplus @t115 @t126 @t10) @t125 @t10)) @t124 @t123))) % 0.44/0.82 (assume @p79 (forall @t84 (or @t116 @t68 (= (tptp.c_HOL_Oplus__class_Oplus @t80 @t82 @t10) @t129) @t123))) % 0.44/0.82 (assume @p80 (forall @t83 (or @t116 @t68 (= (tptp.c_HOL_Oplus__class_Oplus @t82 @t80 @t10) @t129) @t123))) % 0.44/0.82 (assume @p81 (forall @t54 (or @t69 @t68 @t133 @t131))) % 0.44/0.82 (assume @p82 (forall @t54 (or @t69 @t68 @t130 (not @t133)))) % 0.44/0.82 (assume @p83 (forall @t54 (or @t69 @t68 @t136 @t135))) % 0.44/0.82 (assume @p84 (forall @t54 (or @t69 @t68 @t134 (not @t136)))) % 0.44/0.82 (assume @p85 (forall @t42 (or @t139 (= @t138 (tptp.c_HOL_Oplus__class_Oplus @t37 @t43 @t10))))) % 0.44/0.82 (assume @p86 (forall @t42 (or @t140 (= @t138 (tptp.c_HOL_Oplus__class_Oplus @t43 @t37 @t10))))) % 0.44/0.82 (assume @p87 (forall @t42 (or @t140 (= (tptp.c_HOL_Oplus__class_Oplus @t37 @t137 @t10) @t36)))) % 0.44/0.82 (assume @p88 (forall (@list @t10 @t80 @t46) (or @t139 (= (tptp.c_HOL_Oplus__class_Oplus @t142 @t141 @t10) @t46)))) % 0.44/0.82 (assume @p89 (forall @t42 (or @t140 (= (tptp.c_HOL_Oplus__class_Oplus @t15 (tptp.c_HOL_Oplus__class_Oplus @t37 @t36 @t10) @t10) @t36)))) % 0.44/0.82 (assume @p90 (forall @t18 (or @t144 (not (= @t143 @t19)) @t117))) % 0.44/0.82 (assume @p91 (forall (@list @t10 @t6 @t15) (or @t53 @t145 (not (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t6 @t15 @t10))) @t117))) % 0.44/0.82 (assume @p92 (forall @t35 (or @t144 (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t19 @t10) @t19)))) % 0.44/0.82 (assume @p93 (forall @t83 (or @t139 (not (= @t146 @t46)) (= @t6 @t142)))) % 0.44/0.82 (assume @p94 (forall @t18 (or @t148 @t147))) % 0.44/0.82 (assume @p95 (forall @t18 (or @t148 @t149))) % 0.44/0.82 (assume @p96 (forall @t18 (or @t150 @t147))) % 0.44/0.82 (assume @p97 (forall @t14 (or @t53 @t145 (= @t6 (tptp.c_HOL_Oplus__class_Oplus @t6 @t19 @t10))))) % 0.44/0.82 (assume @p98 (forall @t14 (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t6 @t10) @t6)))) % 0.44/0.82 (assume @p99 (forall @t18 (or @t150 @t149))) % 0.44/0.82 (assume @p100 (forall @t18 (or @t13 @t147))) % 0.44/0.82 (assume @p101 (forall @t18 (or @t13 @t149))) % 0.44/0.82 (assume @p102 (forall @t78 (or @t116 (= (tptp.c_HOL_Oinverse__class_Odivide @t137 @t60 @t10) (tptp.c_HOL_Oplus__class_Oplus @t151 @t61 @t10))))) % 0.44/0.82 (assume @p103 (forall @t155 (or @t154 (= (tptp.c_HOL_Oinverse__class_Odivide @t153 @t152 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide @t6 @t152 @t10) (tptp.c_HOL_Oinverse__class_Odivide @t46 @t152 @t10) @t10))))) % 0.44/0.82 (assume @p104 (forall @t35 (or @t26 (not (= @t19 @t11))))) % 0.44/0.82 (assume @p105 (forall @t18 (or @t116 (= (tptp.c_HOL_Oinverse__class_Odivide @t15 @t11 @t10) @t15)))) % 0.44/0.82 (assume @p106 (forall @t35 (or @t26 (not (= @t11 @t19))))) % 0.44/0.82 (assume @p107 (forall @t113 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t10)) @t156 @t117))) % 0.44/0.82 (assume @p108 (forall @t113 (or @t26 @t25 @t24 @t17 @t156 @t117))) % 0.44/0.82 (assume @p109 (forall @t160 (or @t116 @t68 @t159))) % 0.44/0.82 (assume @p110 (forall @t162 (= (tptp.c_HOL_Otimes__class_Otimes @t161 @t80 tptp.tc_RealDef_Oreal) @t80))) % 0.44/0.82 (assume @p111 (= (tptp.c_HOL_Otimes__class_Otimes @t161 @t161 tptp.tc_RealDef_Oreal) @t161)) % 0.44/0.82 (assume @p112 (forall @t14 (or @t164 (= (tptp.c_RealVector_Onorm__class_Onorm @t48 @t10) @t163)))) % 0.44/0.82 (assume @p113 (forall (@list @t10 @t15 @t165 @t3) (or @t112 (tptp.c_HOL_Oord__class_Oless @t168 @t111 @t10) @t167 @t88 @t166))) % 0.44/0.82 (assume @p114 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t169 @t11 @t10) @t167 @t88))) % 0.44/0.82 (assume @p115 (forall @t96 (or @t173 @t85 @t97 @t172))) % 0.44/0.82 (assume @p116 (forall @t70 (or @t173 @t91 @t64 @t172))) % 0.44/0.82 (assume @p117 (forall @t96 (or @t173 @t85 @t97 @t177))) % 0.44/0.82 (assume @p118 (forall @t70 (or @t173 @t91 @t64 @t177))) % 0.44/0.82 (assume @p119 (forall @t18 (or @t173 (not (tptp.c_HOL_Oord__class_Oless @t122 @t19 @t10))))) % 0.44/0.82 (assume @p120 (forall @t96 (or @t173 @t85 @t64 @t172))) % 0.44/0.82 (assume @p121 (forall @t96 (or @t173 @t85 @t64 @t177))) % 0.44/0.82 (assume @p122 (forall @t102 (or @t179 (tptp.c_HOL_Oord__class_Oless @t178 @t19 @t10) @t135 @t88))) % 0.44/0.82 (assume @p123 (forall @t42 (or @t179 @t180 @t135 @t88))) % 0.44/0.82 (assume @p124 (forall @t42 (or @t179 @t180 @t131 @t90))) % 0.44/0.82 (assume @p125 (forall @t102 (or @t179 @t130 @t88 (not (tptp.c_HOL_Oord__class_Oless @t19 @t178 @t10))))) % 0.44/0.82 (assume @p126 (forall @t102 (or @t179 @t130 @t88 @t94))) % 0.44/0.82 (assume @p127 (forall @t42 (or @t179 @t93 @t131 @t88))) % 0.44/0.82 (assume @p128 (forall @t42 (or @t173 @t93 @t135 @t90))) % 0.44/0.82 (assume @p129 (forall @t96 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t10)) @t176 @t65 @t98))) % 0.44/0.82 (assume @p130 (forall @t76 (or @t173 @t171 @t92 @t86))) % 0.44/0.82 (assume @p131 (forall @t76 (or @t173 @t171 @t98 @t65))) % 0.44/0.82 (assume @p132 (forall @t76 (or @t179 @t171 @t65 @t98))) % 0.44/0.82 (assume @p133 (forall @t76 (or @t173 @t171 @t86 @t92))) % 0.44/0.82 (assume @p134 (forall @t96 (or @t173 @t176 @t92 @t86))) % 0.44/0.82 (assume @p135 (forall @t96 (or @t173 @t176 @t98 @t65))) % 0.44/0.82 (assume @p136 (forall @t96 (or @t179 @t176 @t65 @t98))) % 0.44/0.82 (assume @p137 (forall @t96 (or @t173 @t176 @t86 @t92))) % 0.44/0.82 (assume @p138 (forall @t78 (or @t173 @t97 @t177 @t65))) % 0.44/0.82 (assume @p139 (forall @t70 (or @t173 @t91 @t177 @t86))) % 0.44/0.82 (assume @p140 (forall @t42 (or @t181 (tptp.c_HOL_Oord__class_Oless @t19 @t137 @t10) @t131 @t88))) % 0.44/0.82 (assume @p141 (forall @t18 (or @t144 @t182 @t88))) % 0.44/0.82 (assume @p142 (forall @t18 (or @t144 @t87 (not @t182)))) % 0.44/0.82 (assume @p143 (forall @t70 (or @t112 (tptp.c_HOL_Oord__class_Oless @t36 @t183 @t10) (not (tptp.c_HOL_Oord__class_Oless @t36 @t60 @t10)) @t88))) % 0.44/0.82 (assume @p144 (forall @t18 (or @t144 @t184 @t90))) % 0.44/0.82 (assume @p145 (forall @t18 (or @t144 @t89 @t185))) % 0.44/0.82 (assume @p146 (forall @t18 (or @t34 @t89 @t185))) % 0.44/0.82 (assume @p147 (forall @t18 (or @t34 @t184 @t90))) % 0.44/0.82 (assume @p148 (forall @t42 (or @t181 (tptp.c_HOL_Oord__class_Oless @t137 @t19 @t10) @t135 @t90))) % 0.44/0.82 (assume @p149 (forall @t35 (or @t173 (= @t187 @t19)))) % 0.44/0.82 (assume @p150 (forall @t49 (or @t173 @t190 @t123))) % 0.44/0.82 (assume @p151 (forall @t49 (or @t173 @t190 @t191))) % 0.44/0.82 (assume @p152 (forall (@list @t10 @t6 @t192 @t60 @t193) (or @t53 @t145 (not (= (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Otimes__class_Otimes @t192 @t60 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus @t6 (tptp.c_HOL_Otimes__class_Otimes @t192 @t193 @t10) @t10))) @t194 (= @t192 @t19)))) % 0.44/0.82 (assume @p153 (forall @t35 (or @t112 (tptp.c_HOL_Oord__class_Oless @t19 @t11 @t10)))) % 0.44/0.82 (assume @p154 (forall @t35 (or @t112 (not (tptp.c_HOL_Oord__class_Oless @t11 @t19 @t10))))) % 0.44/0.82 (assume @p155 (forall @t14 (or @t145 (= @t48 (tptp.c_HOL_Otimes__class_Otimes @t195 @t6 @t10))))) % 0.44/0.82 (assume @p156 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t19 @t111 @t10) @t88))) % 0.44/0.82 (assume @p157 (forall @t198 (or @t34 @t197 (not (tptp.c_HOL_Oord__class_Oless @t196 @t19 @t10))))) % 0.44/0.82 (assume @p158 (forall @t202 (or @t13 (= (tptp.c_HOL_Otimes__class_Otimes @t201 @t6 @t10) @t200)))) % 0.44/0.82 (assume @p159 (forall @t202 (or @t13 (= @t203 @t200)))) % 0.44/0.82 (assume @p160 (forall @t198 (or @t13 (= (tptp.c_Power_Opower__class_Opower @t6 @t9 @t10) (tptp.c_HOL_Otimes__class_Otimes @t6 @t196 @t10))))) % 0.44/0.82 (assume @p161 (forall @t113 (or @t205 (= @t169 @t204)))) % 0.44/0.82 (assume @p162 (forall @t113 (or @t17 (= @t169 @t206)))) % 0.44/0.82 (assume @p163 (forall @t202 (or @t13 (= @t200 @t203)))) % 0.44/0.82 (assume @p164 (forall @t113 (or @t116 @t68 (= (tptp.c_HOL_Oinverse__class_Odivide @t11 @t111 @t10) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide @t11 @t15 @t10) @t3 @t10))))) % 0.44/0.82 (assume @p165 (forall @t49 (or (not (tptp.class_RealVector_Oreal__normed__div__algebra @t10)) (= @t208 (tptp.c_HOL_Otimes__class_Otimes @t163 @t207 tptp.tc_RealDef_Oreal))))) % 0.44/0.82 (assume @p166 (forall @t35 (or @t173 (not (tptp.c_HOL_Oord__class_Oless @t19 @t187 @t10))))) % 0.44/0.82 (assume @p167 (forall @t49 (or @t173 (not (tptp.c_HOL_Oord__class_Oless @t189 @t19 @t10))))) % 0.44/0.82 (assume @p168 (forall @t49 (or @t173 @t209 @t123))) % 0.44/0.82 (assume @p169 (forall @t49 (or @t173 @t209 @t191))) % 0.44/0.82 (assume @p170 (forall @t18 (or @t140 (= @t210 @t15)))) % 0.44/0.82 (assume @p171 (forall @t14 (or @t211 (= (tptp.c_HOL_Ouminus__class_Ouminus @t48 @t10) @t6)))) % 0.44/0.82 (assume @p172 (forall @t54 (or @t140 (= @t36 @t212)))) % 0.44/0.82 (assume @p173 (forall @t18 (or @t140 (= @t15 @t210)))) % 0.44/0.82 (assume @p174 (forall @t54 (or @t140 (= @t212 @t36)))) % 0.44/0.82 (assume @p175 (forall @t96 (or @t116 @t68 (= (tptp.c_HOL_Oinverse__class_Odivide @t175 @t174 @t10) @t158) @t213))) % 0.44/0.82 (assume @p176 (forall @t76 (or @t116 @t68 (= (tptp.c_HOL_Oinverse__class_Odivide @t66 @t170 @t10) @t158) @t213))) % 0.44/0.82 (assume @p177 (forall @t42 (or @t69 @t68 @t89 @t87 @t215))) % 0.44/0.82 (assume @p178 (forall @t102 (or @t69 @t68 @t130 @t87 @t215))) % 0.44/0.82 (assume @p179 (forall @t42 (or @t69 @t68 @t89 @t134 @t215))) % 0.44/0.82 (assume @p180 (forall @t102 (or @t69 @t68 @t130 @t134 @t215))) % 0.44/0.82 (assume @p181 (forall @t108 (or @t216 (= @t32 @t3) @t109))) % 0.44/0.82 (assume @p182 (forall @t57 (or @t154 (= (tptp.c_HOL_Oinverse__class_Odivide @t19 @t46 @t10) @t19)))) % 0.44/0.82 (assume @p183 (forall @t18 (or @t116 @t68 (= (tptp.c_HOL_Oinverse__class_Odivide @t15 @t19 @t10) @t19)))) % 0.44/0.82 (assume @p184 (forall @t54 (or @t116 @t68 (= @t217 @t19)))) % 0.44/0.82 (assume @p185 (forall @t18 (or @t116 (= (tptp.c_HOL_Oinverse__class_Odivide @t19 @t15 @t10) @t19)))) % 0.44/0.82 (assume @p186 (forall @t18 (or @t140 @t218))) % 0.44/0.82 (assume @p187 (forall @t18 (or @t140 (= (tptp.c_HOL_Oplus__class_Oplus @t15 @t37 @t10) @t19)))) % 0.44/0.82 (assume @p188 (forall @t18 (or @t139 @t218))) % 0.44/0.82 (assume @p189 (forall @t54 (or @t140 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t36 @t10) @t19)))) % 0.44/0.82 (assume @p190 (forall @t49 (or @t154 (= (tptp.c_HOL_Oinverse__class_Odivide @t48 @t46 @t10) (tptp.c_HOL_Ouminus__class_Ouminus @t82 @t10))))) % 0.44/0.82 (assume @p191 (forall @t42 (or @t116 @t68 @t219))) % 0.44/0.82 (assume @p192 (forall @t18 (or @t116 @t68 @t220 @t117))) % 0.44/0.82 (assume @p193 (forall @t18 (or @t116 @t220 @t117))) % 0.44/0.82 (assume @p194 (forall @t14 (or @t116 @t191 (= (tptp.c_HOL_Oinverse__class_Odivide @t6 @t6 @t10) @t11)))) % 0.44/0.82 (assume @p195 (forall @t18 (or @t140 (not (= @t19 @t37)) (= @t19 @t15)))) % 0.44/0.82 (assume @p196 (forall (@list @t80 @t114) (= (tptp.c_HOL_Otimes__class_Otimes @t80 @t114 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t114 @t80 tptp.tc_RealDef_Oreal)))) % 0.44/0.82 (assume @p197 (forall @t18 (or @t101 @t87 (not @t221)))) % 0.44/0.82 (assume @p198 (forall @t18 (or @t101 @t221 @t88))) % 0.44/0.82 (assume @p199 (forall @t42 (or @t116 @t223 @t118))) % 0.44/0.82 (assume @p200 (forall @t23 (or @t22 @t17 (= (tptp.c_Power_Opower__class_Opower @t19 @t9 @t10) @t19)))) % 0.44/0.82 (assume @p201 (forall @t18 (or @t140 (not (= @t37 @t19)) @t117))) % 0.44/0.82 (assume @p202 (forall @t226 (or @t116 @t68 @t225 @t213))) % 0.44/0.82 (assume @p203 (forall @t226 (or @t116 @t68 @t227 @t213))) % 0.44/0.82 (assume @p204 (forall @t228 (or @t116 @t213 @t225))) % 0.44/0.82 (assume @p205 (forall @t228 (or @t116 @t213 @t227))) % 0.44/0.82 (assume @p206 (forall @t42 (or @t140 (not (= @t37 @t43)) @t120))) % 0.44/0.82 (assume @p207 (forall @t49 (or @t211 (not (= @t48 (tptp.c_HOL_Ouminus__class_Ouminus @t46 @t10))) @t229))) % 0.44/0.82 (assume @p208 (forall (@list @t46 @t6) (or (tptp.c_HOL_Oord__class_Oless @t46 @t6 tptp.tc_nat) @t230 @t229))) % 0.44/0.82 (assume @p209 (forall @t233 (or @t232 @t107 @t231))) % 0.44/0.82 (assume @p210 (forall (@list @t235 @t236 @t234) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc @t235) @t236 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t234 @t236 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t235 @t234 tptp.tc_nat))))) % 0.44/0.82 (assume @p211 (forall @t7 @t237)) % 0.44/0.82 (assume @p212 (forall @t5 (tptp.c_HOL_Oord__class_Oless @t3 @t9 tptp.tc_nat))) % 0.44/0.82 (assume @p213 (forall @t5 (not (= @t3 @t9)))) % 0.44/0.82 (assume @p214 (forall @t5 (not (= @t9 @t3)))) % 0.44/0.82 (assume @p215 (forall @t42 (or @t69 @t68 @t89 @t87 @t239))) % 0.44/0.82 (assume @p216 (forall @t102 (or @t69 @t68 @t134 @t87 @t239))) % 0.44/0.82 (assume @p217 (forall @t42 (or @t69 @t68 @t89 @t130 @t239))) % 0.44/0.82 (assume @p218 (forall @t102 (or @t69 @t68 @t134 @t130 @t239))) % 0.44/0.82 (assume @p219 (forall @t108 (or @t240 @t109))) % 0.44/0.82 (assume @p220 (forall @t108 (or @t107 (not @t216)))) % 0.44/0.82 (assume @p221 (forall @t42 (or @t116 (not (= @t158 @t11)) @t118 @t120))) % 0.44/0.82 (assume @p222 (forall (@list @t243 @t242 @t241) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Otimes__class_Otimes @t243 @t242 tptp.tc_RealDef_Oreal) @t241 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t243 (tptp.c_HOL_Otimes__class_Otimes @t242 @t241 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.44/0.82 (assume @p223 (forall (@list @t243 @t242 @t114) (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t243 @t242 tptp.tc_RealDef_Oreal) @t114 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t243 @t114 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Otimes__class_Otimes @t242 @t114 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.44/0.82 (assume @p224 (forall @t42 (or @t116 @t68 @t223))) % 0.44/0.82 (assume @p225 (forall @t42 (or @t116 (= @t222 (tptp.c_HOL_Oinverse__class_Odivide @t37 @t36 @t10))))) % 0.44/0.82 (assume @p226 (forall @t18 (or @t244 (not (= @t37 @t15)) @t117))) % 0.44/0.82 (assume @p227 (forall @t76 (or @t69 @t68 @t87 @t85 @t64 @t63))) % 0.44/0.82 (assume @p228 (forall @t72 (or @t69 @t68 @t62 @t88 @t85 @t64))) % 0.44/0.82 (assume @p229 (forall @t76 (or @t69 @t68 @t89 @t85 @t64 @t74))) % 0.44/0.82 (assume @p230 (forall @t78 (or @t69 @t68 @t73 @t90 @t85 @t64))) % 0.44/0.82 (assume @p231 (forall @t7 (or @t245 @t237))) % 0.44/0.82 (assume @p232 (forall @t108 (or @t109 @t247))) % 0.44/0.82 (assume @p233 (forall @t233 (or @t246 @t107))) % 0.44/0.82 (assume @p234 (forall @t49 (or @t69 @t250 @t249 @t248))) % 0.44/0.82 (assume @p235 (forall @t49 (or @t69 @t250 @t79 @t251))) % 0.44/0.82 (assume @p236 (forall @t42 (or @t69 @t68 @t238 @t131 @t88))) % 0.44/0.82 (assume @p237 (forall @t42 (or @t69 @t68 @t238 @t135 @t90))) % 0.44/0.82 (assume @p238 (forall @t42 (or @t116 @t219 @t118))) % 0.44/0.82 (assume @p239 (forall @t76 (or @t69 @t252 @t65 @t98))) % 0.44/0.82 (assume @p240 (forall @t76 (or @t69 @t252 @t86 @t92))) % 0.44/0.82 (assume @p241 (forall @t35 (or @t116 @t68 (= (tptp.c_HOL_Oinverse__class_Odivide @t19 @t19 @t10) @t19)))) % 0.44/0.82 (assume @p242 (forall (@list @t253 @t28) (or (not (= (tptp.c_Suc @t253) @t29)) (= @t253 @t28)))) % 0.44/0.82 (assume @p243 (forall (@list @t6 @t46) (or (not (= @t8 (tptp.c_Suc @t46))) @t229))) % 0.44/0.82 (assume @p244 (forall @t255 (or @t116 @t68 (= @t19 @t254)))) % 0.44/0.82 (assume @p245 (forall @t42 (or @t140 @t256 (= @t37 @t36)))) % 0.44/0.82 (assume @p246 (forall @t42 (or @t140 @t256 @t121))) % 0.44/0.82 (assume @p247 (forall @t233 (or (= @t3 @t31) @t247 @t232))) % 0.44/0.82 (assume @p248 (forall @t108 (or @t231 @t247 @t232))) % 0.44/0.82 (assume @p249 (forall @t108 (or @t231 @t107 (not @t240)))) % 0.44/0.82 (assume @p250 (forall @t258 (or @t116 @t68 (= @t36 @t257) @t213))) % 0.44/0.82 (assume @p251 (forall @t258 (or @t116 @t68 (= @t257 @t36) @t213))) % 0.44/0.82 (assume @p252 (forall @t5 (not (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat)))) % 0.44/0.82 (assume @p253 (forall @t7 (not @t245))) % 0.44/0.82 (assume @p254 (forall @t35 (or @t140 (= @t19 @t259)))) % 0.44/0.82 (assume @p255 (forall @t35 (or @t140 @t260))) % 0.44/0.82 (assume @p256 (forall @t35 (or @t244 @t260))) % 0.44/0.82 (assume @p257 (forall @t160 (or @t116 @t159 @t118))) % 0.44/0.82 (assume @p258 (forall @t49 (or @t69 @t261 @t79 @t248))) % 0.44/0.82 (assume @p259 (forall @t49 (or @t69 @t261 @t249 @t251))) % 0.44/0.82 (assume @p260 (forall @t42 (or @t69 @t68 @t214 @t135 @t88))) % 0.44/0.82 (assume @p261 (forall @t42 (or @t69 @t68 @t214 @t131 @t90))) % 0.44/0.82 (assume @p262 (forall @t54 (or @t116 @t68 (= @t19 @t217)))) % 0.44/0.82 (assume @p263 (forall @t18 (or @t101 @t89 (not @t262)))) % 0.44/0.82 (assume @p264 (forall @t18 (or @t101 @t262 @t90))) % 0.44/0.82 (assume @p265 (forall @t128 (or @t116 (not @t264) @t124 @t123 @t263))) % 0.44/0.82 (assume @p266 (forall (@list @t10 @t6 @t80 @t114 @t46) (or @t116 (not @t263) @t124 @t123 @t264))) % 0.44/0.82 (assume @p267 (forall @t18 (or @t34 @t89 (not @t265)))) % 0.44/0.82 (assume @p268 (forall @t18 (or @t34 @t265 @t90))) % 0.44/0.82 (assume @p269 (forall @t255 (or @t116 @t68 (= @t254 @t19)))) % 0.44/0.82 (assume @p270 (forall @t42 (or @t69 (tptp.c_HOL_Oord__class_Oless @t15 @t267 @t10) @t98))) % 0.44/0.82 (assume @p271 (forall @t42 (or @t69 (tptp.c_HOL_Oord__class_Oless @t267 @t36 @t10) @t98))) % 0.44/0.82 (assume @p272 (forall @t35 (or @t112 (tptp.c_HOL_Oord__class_Oless @t19 @t266 @t10)))) % 0.44/0.82 (assume @p273 (forall (@list @t10 @t36 @t6 @t46) (or @t112 @t269 (not @t230) @t268))) % 0.44/0.82 (assume @p274 (forall (@list @t10 @t6 @t46 @t36) (or @t112 @t230 (not @t269) @t268))) % 0.44/0.82 (assume @p275 (forall (@list @t10 @t15 @t3 @t165) (or @t112 (tptp.c_HOL_Oord__class_Oless @t111 @t168 @t10) @t110 @t166))) % 0.44/0.82 (assume @p276 (forall (@list @t10 @t31 @t3 @t15) (or @t112 @t107 (not (tptp.c_HOL_Oord__class_Oless @t270 @t111 @t10)) @t110))) % 0.44/0.82 (assume @p277 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t11 @t169 @t10) @t110))) % 0.44/0.82 (assume @p278 (forall @t113 (or (not (tptp.class_Ring__and__Field_Oring__1 @t10)) (= (tptp.c_Power_Opower__class_Opower @t37 @t3 @t10) (tptp.c_HOL_Otimes__class_Otimes (tptp.c_Power_Opower__class_Opower @t195 @t3 @t10) @t111 @t10))))) % 0.44/0.82 (assume @p279 (forall @t274 (or @t45 (tptp.c_HOL_Oord__class_Oless @t208 (tptp.c_HOL_Otimes__class_Otimes @t192 @t272 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t273 @t271))) % 0.44/0.82 (assume @p280 (forall @t274 (or @t164 (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm @t153 @t10) (tptp.c_HOL_Oplus__class_Oplus @t192 @t272 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t273 @t271))) % 0.44/0.82 (assume @p281 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t206 @t111 @t10) @t167 @t88))) % 0.44/0.82 (assume @p282 (forall @t42 (or @t275 @t98 @t92))) % 0.44/0.82 (assume @p283 (forall @t49 (or @t280 @t279 @t277))) % 0.44/0.82 (assume @p284 (forall @t282 (or @t281 @t277 @t279))) % 0.44/0.82 (assume @p285 (forall @t102 (or @t281 @t92 @t98))) % 0.44/0.82 (assume @p286 (forall @t76 (or @t285 @t284 @t98))) % 0.44/0.82 (assume @p287 (forall @t76 (or @t286 @t284 @t98))) % 0.44/0.82 (assume @p288 (forall @t78 (or @t286 @t97 (not @t284)))) % 0.44/0.82 (assume @p289 (forall @t96 (or @t285 @t288 @t98))) % 0.44/0.82 (assume @p290 (forall @t96 (or @t286 @t288 @t98))) % 0.44/0.82 (assume @p291 (forall @t78 (or @t286 @t97 (not @t288)))) % 0.44/0.82 (assume @p292 (forall (@list @t10 @t15 @t31 @t3) (or @t112 (not (= @t270 @t111)) @t110 @t231))) % 0.44/0.82 (assume @p293 (forall @t290 (or @t285 (tptp.c_HOL_Oord__class_Oless @t183 @t289 @t10) (not (tptp.c_HOL_Oord__class_Oless @t60 @t193 @t10)) @t98))) % 0.44/0.82 (assume @p294 (forall @t14 (or @t281 @t291))) % 0.44/0.82 (assume @p295 (forall @t7 (not (tptp.c_HOL_Oord__class_Oless @t6 @t6 tptp.tc_RealDef_Oreal)))) % 0.44/0.82 (assume @p296 (forall @t14 (or @t275 @t291))) % 0.44/0.82 (assume @p297 (forall @t14 (or @t280 @t291))) % 0.44/0.82 (assume @p298 (forall (@list @t10 @t31 @t15) (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t31 @t294 @t10) @t293)))) % 0.44/0.82 (assume @p299 (forall (@list @t10 @t15 @t31) (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t294 @t31 @t10) @t293)))) % 0.44/0.82 (assume @p300 (forall (@list @t10 @t114 @t46 @t6 @t80) (or @t53 @t145 (not (= (tptp.c_HOL_Oplus__class_Oplus @t126 @t115 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t114 @t80 @t10) @t47 @t10))) @t295 (= @t114 @t6)))) % 0.44/0.82 (assume @p301 (forall @t290 (or @t53 @t145 (not (= (tptp.c_HOL_Oplus__class_Oplus @t66 (tptp.c_HOL_Otimes__class_Otimes @t36 @t193 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t15 @t193 @t10) @t170 @t10))) @t194 @t120))) % 0.44/0.82 (assume @p302 (forall (@list @t10 @t31) (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t31 @t31 @t10) (tptp.c_HOL_Otimes__class_Otimes @t266 @t31 @t10))))) % 0.44/0.82 (assume @p303 (forall @t113 (or @t205 (= @t204 @t206)))) % 0.44/0.82 (assume @p304 (forall @t42 (or @t150 (= @t137 @t296)))) % 0.44/0.82 (assume @p305 (forall @t49 (or @t13 (= @t153 (tptp.c_HOL_Oplus__class_Oplus @t46 @t6 @t10))))) % 0.44/0.82 (assume @p306 (forall @t226 (or @t13 (= @t183 @t287)))) % 0.44/0.82 (assume @p307 (forall (@list @t10 @t6 @t46 @t80 @t297) (or @t139 (not (= @t146 (tptp.c_HOL_Oplus__class_Oplus @t46 @t297 @t10))) (= @t298 @t297)))) % 0.44/0.82 (assume @p308 (forall @t23 (or @t205 (= (tptp.c_Power_Opower__class_Opower @t11 @t3 @t10) @t11)))) % 0.44/0.82 (assume @p309 (forall @t35 (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t10)) (= (tptp.c_RealVector_Onorm__class_Onorm @t11 @t10) @t161)))) % 0.44/0.82 (assume @p310 (forall @t70 (or @t300 (not (= @t296 @t287)) @t299))) % 0.44/0.82 (assume @p311 (forall @t78 (or @t300 @t301 @t299))) % 0.44/0.82 (assume @p312 (forall @t78 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t10)) @t301 @t299))) % 0.44/0.82 (assume @p313 (forall @t83 (or @t53 @t145 (not (= @t153 @t298)) @t295))) % 0.44/0.82 (assume @p314 (forall (@list @t10 @t15 @t36 @t60 @t193) (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t137 @t302 @t10) (tptp.c_HOL_Oplus__class_Oplus @t183 @t289 @t10))))) % 0.44/0.82 (assume @p315 (forall @t70 (or @t173 @t91 @t97 @t172))) % 0.44/0.82 (assume @p316 (forall @t70 (or @t173 @t91 @t97 @t177))) % 0.44/0.82 (assume @p317 (forall (@list @t10 @t15 @t31 @t36) (or @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t294 (tptp.c_HOL_Otimes__class_Otimes @t36 @t31 @t10) @t10) (tptp.c_HOL_Otimes__class_Otimes @t137 @t31 @t10))))) % 0.44/0.82 (assume @p318 (forall @t78 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t10)) @t303))) % 0.44/0.82 (assume @p319 (forall @t83 (or @t13 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t141 @t10) @t304)))) % 0.44/0.82 (assume @p320 (forall (@list @t10 @t15 @t305 @t36) (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t15 @t305 @t10) @t36 @t10) (tptp.c_HOL_Oplus__class_Oplus @t39 (tptp.c_HOL_Otimes__class_Otimes @t305 @t36 @t10) @t10))))) % 0.44/0.82 (assume @p321 (forall @t155 (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t153 @t152 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t6 @t152 @t10) (tptp.c_HOL_Otimes__class_Otimes @t46 @t152 @t10) @t10))))) % 0.44/0.82 (assume @p322 (forall (@list @t10 @t15 @t36 @t306) (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t15 (tptp.c_HOL_Oplus__class_Oplus @t36 @t306 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus @t39 (tptp.c_HOL_Otimes__class_Otimes @t15 @t306 @t10) @t10))))) % 0.44/0.82 (assume @p323 (forall (@list @t10 @t50 @t6 @t46) (or @t45 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t153 @t10) (tptp.c_HOL_Oplus__class_Oplus @t51 (tptp.c_HOL_Otimes__class_Otimes @t50 @t46 @t10) @t10))))) % 0.44/0.82 (assume @p324 (forall @t78 (or @t13 @t303))) % 0.44/0.82 (assume @p325 (forall @t83 (or @t13 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t125 @t10) (tptp.c_HOL_Otimes__class_Otimes @t47 @t80 @t10))))) % 0.44/0.82 (assume @p326 (forall @t312 (or @t13 (= @t311 (tptp.c_HOL_Otimes__class_Otimes @t309 (tptp.c_HOL_Otimes__class_Otimes @t308 @t307 @t10) @t10))))) % 0.44/0.82 (assume @p327 (forall @t312 (or @t13 (= @t311 (tptp.c_HOL_Otimes__class_Otimes @t313 @t307 @t10))))) % 0.44/0.82 (assume @p328 (forall @t317 (or @t13 (= @t316 (tptp.c_HOL_Otimes__class_Otimes @t308 (tptp.c_HOL_Otimes__class_Otimes @t314 @t309 @t10) @t10))))) % 0.44/0.82 (assume @p329 (forall @t317 (or @t13 (= @t316 (tptp.c_HOL_Otimes__class_Otimes @t313 @t314 @t10))))) % 0.44/0.82 (assume @p330 (forall @t78 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t10)) (= (tptp.c_HOL_Otimes__class_Otimes @t39 @t60 @t10) (tptp.c_HOL_Otimes__class_Otimes @t15 @t170 @t10))))) % 0.44/0.82 (assume @p331 (forall @t160 (or @t318 (= (tptp.c_Power_Opower__class_Opower @t39 @t3 @t10) (tptp.c_HOL_Otimes__class_Otimes @t111 @t157 @t10))))) % 0.44/0.82 (assume @p332 (forall (@list @t10 @t6 @t46 @t199) (or @t13 (= (tptp.c_Power_Opower__class_Opower @t47 @t199 @t10) (tptp.c_HOL_Otimes__class_Otimes @t201 (tptp.c_Power_Opower__class_Opower @t46 @t199 @t10) @t10))))) % 0.44/0.82 (assume @p333 (forall @t14 (or @t319 (= @t188 @t6)))) % 0.44/0.82 (assume @p334 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t111 @t206 @t10) @t110))) % 0.44/0.82 (assume @p335 (forall @t49 (or @t319 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t47 @t10) @t47)))) % 0.44/0.82 (assume @p336 (forall @t18 (or @t112 (tptp.c_HOL_Oord__class_Oless @t15 @t292 @t10)))) % 0.44/0.82 (assume @p337 (forall @t282 (or @t34 @t276 @t278 @t229))) % 0.44/0.82 (assume @p338 (forall @t49 (or @t280 @t229 @t276 @t278))) % 0.44/0.82 (assume @p339 (forall @t49 (or @t280 @t229 @t278 @t276))) % 0.44/0.82 (assume @p340 (forall @t282 (or @t280 @t276 @t229 @t278))) % 0.44/0.82 (assume @p341 (forall @t282 (or @t280 @t276 @t278 @t229))) % 0.44/0.82 (assume @p342 (forall @t113 (or @t112 (tptp.c_HOL_Oord__class_Oless @t11 @t206 @t10) @t110))) % 0.44/0.82 (assume @p343 (forall @t321 (or @t13 (= @t320 (tptp.c_HOL_Otimes__class_Otimes @t309 (tptp.c_HOL_Otimes__class_Otimes @t315 @t307 @t10) @t10))))) % 0.44/0.82 (assume @p344 (forall @t321 (or @t13 (= @t320 (tptp.c_HOL_Otimes__class_Otimes @t308 (tptp.c_HOL_Otimes__class_Otimes @t314 @t310 @t10) @t10))))) % 0.44/0.82 (assume @p345 (forall @t321 (or @t13 (= @t320 (tptp.c_HOL_Otimes__class_Otimes @t313 (tptp.c_HOL_Otimes__class_Otimes @t314 @t307 @t10) @t10))))) % 0.44/0.82 (assume @p346 (forall @t18 (or @t205 @t322))) % 0.44/0.82 (assume @p347 (forall @t18 (or @t205 @t323))) % 0.44/0.82 (assume @p348 (forall @t18 (or @t318 @t323))) % 0.44/0.82 (assume @p349 (forall @t14 (or @t13 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t6 @t10) @t6)))) % 0.44/0.82 (assume @p350 (forall @t18 (or @t13 @t322))) % 0.44/0.82 (assume @p351 (forall @t18 (or @t13 @t323))) % 0.44/0.82 (assume @p352 (forall @t83 (or @t53 @t145 (= @t304 (tptp.c_HOL_Oplus__class_Oplus @t115 @t47 @t10))))) % 0.44/0.82 (assume @p353 (forall (@list @t10 @t6 @t60 @t193) (or @t53 @t145 (= (tptp.c_HOL_Oplus__class_Oplus @t324 @t325 @t10) (tptp.c_HOL_Oplus__class_Oplus @t325 @t324 @t10))))) % 0.44/0.82 (assume @p354 (forall @t49 (or @t13 (= @t47 (tptp.c_HOL_Otimes__class_Otimes @t46 @t6 @t10))))) % 0.44/0.82 (assume @p355 (forall @t42 (or @t13 (= @t39 @t178)))) % 0.44/0.82 (assume @p356 (forall @t84 (or @t275 (tptp.c_HOL_Oord__class_Oless @t80 @t6 @t10) (not (tptp.c_HOL_Oord__class_Oless @t80 @t46 @t10)) @t277))) % 0.44/0.82 (assume @p357 (forall (@list @t10 @t6 @t80 @t46) (or @t281 (tptp.c_HOL_Oord__class_Oless @t6 @t80 @t10) (not (tptp.c_HOL_Oord__class_Oless @t46 @t80 @t10)) @t279))) % 0.44/0.82 (assume @p358 (forall @t78 (or @t150 (= @t326 (tptp.c_HOL_Oplus__class_Oplus @t36 @t183 @t10))))) % 0.44/0.82 (assume @p359 (forall @t78 (or @t150 @t328))) % 0.44/0.82 (assume @p360 (forall @t83 (or @t13 (= @t146 (tptp.c_HOL_Oplus__class_Oplus @t153 @t80 @t10))))) % 0.44/0.82 (assume @p361 (forall @t83 (or @t139 (= @t146 (tptp.c_HOL_Oplus__class_Oplus @t46 @t298 @t10))))) % 0.44/0.82 (assume @p362 (forall @t78 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t10)) @t328))) % 0.44/0.82 (assume @p363 (forall @t330 (or @t13 (= @t329 (tptp.c_HOL_Oplus__class_Oplus @t183 @t193 @t10))))) % 0.44/0.82 (assume @p364 (forall @t78 (or @t13 (= @t327 (tptp.c_HOL_Oplus__class_Oplus @t183 @t36 @t10))))) % 0.44/0.82 (assume @p365 (forall @t330 (or @t13 (= @t329 (tptp.c_HOL_Oplus__class_Oplus @t60 (tptp.c_HOL_Oplus__class_Oplus @t15 @t193 @t10) @t10))))) % 0.44/0.82 (assume @p366 (forall @t78 (or @t13 @t328))) % 0.44/0.82 (assume @p367 (forall (@list @t10 @t15 @t331 @t36 @t60) (or (not (tptp.class_Ring__and__Field_Osemiring @t10)) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t15 @t331 @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t36 @t331 @t10) @t60 @t10) @t10) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t137 @t331 @t10) @t60 @t10))))) % 0.44/0.82 (assume @p368 @t334) % 0.44/0.82 (assume @p369 (forall (@list @t10 @t31 @t3) (or @t112 (tptp.c_HOL_Oord__class_Oless @t11 (tptp.c_HOL_Otimes__class_Otimes @t31 @t3 @t10) @t10) (not (tptp.c_HOL_Oord__class_Oless @t11 @t3 @t10)) (not (tptp.c_HOL_Oord__class_Oless @t11 @t31 @t10))))) % 0.44/0.82 (assume @p370 @t335) % 0.44/0.82 (assume @p371 (not @t336)) % 0.44/0.82 (assume @p372 @t340) % 0.44/0.82 (assume @p373 (not tptp.v_thesis____)) % 0.44/0.82 (assume @p374 (forall @t7 (or tptp.v_thesis____ (not (tptp.c_HOL_Oord__class_Oless (tptp.c_RealVector_Onorm__class_Onorm (tptp.c_HOL_Oplus__class_Oplus @t332 (tptp.c_HOL_Otimes__class_Otimes tptp.v_b (tptp.c_Power_Opower__class_Opower @t6 tptp.v_m____ tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex) @t161 tptp.tc_RealDef_Oreal))))) % 0.44/0.82 (assume @p375 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.44/0.82 (assume @p376 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.44/0.82 (assume @p377 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.44/0.82 (assume @p378 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.44/0.82 (assume @p379 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.44/0.82 (assume @p380 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.44/0.82 (assume @p381 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.44/0.82 (assume @p382 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.44/0.82 (assume @p383 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.44/0.82 (assume @p384 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.44/0.82 (assume @p385 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.44/0.82 (assume @p386 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.44/0.82 (assume @p387 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.44/0.82 (assume @p388 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.44/0.82 (assume @p389 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.44/0.82 (assume @p390 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.44/0.82 (assume @p391 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.44/0.82 (assume @p392 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.44/0.82 (assume @p393 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.44/0.82 (assume @p394 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.44/0.82 (assume @p395 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.44/0.82 (assume @p396 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.44/0.82 (assume @p397 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.44/0.82 (assume @p398 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.44/0.82 (assume @p399 (tptp.class_Power_Opower tptp.tc_nat)) % 0.44/0.82 (assume @p400 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p401 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p402 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p403 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p404 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p405 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p406 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p407 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p408 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p409 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p410 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p411 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p412 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p413 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p414 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p415 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p416 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p417 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p418 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p419 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p420 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p421 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p422 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p423 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p424 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p425 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p426 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p427 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p428 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p429 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p430 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p431 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p432 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p433 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p434 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p435 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p436 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p437 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p438 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p439 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p440 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p441 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p442 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p443 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p444 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p445 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.44/0.82 (assume @p446 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p447 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p448 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p449 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p450 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p451 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p452 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p453 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p454 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p455 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p456 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p457 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p458 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p459 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p460 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p461 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p462 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p463 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p464 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p465 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p466 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p467 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p468 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p469 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p470 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p471 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p472 (tptp.class_Ring__and__Field_Ofield tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p473 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p474 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p475 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (assume @p476 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.44/0.82 (step @p477 :rule symm :premises (@p371)) % 0.44/0.82 (step @p478 :rule refl :args (@t337)) % 0.44/0.82 (step @p479 :rule eq-symm :args (tptp.v_m____ @t1)) % 0.44/0.82 (step @p480 :rule refl :args (@t339)) % 0.44/0.82 (step @p481 :rule nary_cong :premises (@p480 @p479 @p478) :args (@t340)) % 0.44/0.82 (step @p482 :rule eq_resolve :premises (@p372 @p481)) % 0.44/0.82 (step @p483 :rule reordering :premises (@p482) :args ((or @t339 @t337 @t341))) % 0.44/0.82 (step @p484 :rule chain_m_resolution :premises (@p483 @p370 @p477) :args (@t339 (@list false true) (@list @t335 @t341))) % 0.44/0.82 (step @p485 :rule quant-miniscope-or :args ((= @t334 (or tptp.v_thesis____ @t342)))) % 0.44/0.82 (step @p486 :rule eq_resolve :premises (@p368 @p485)) % 0.44/0.82 (step @p487 :rule chain_m_resolution :premises (@p486 @p373) :args (@t342 (@list true) (@list tptp.v_thesis____))) % 0.44/0.82 (assume-push @p494 @t342) % 0.44/0.82 (step @p489 :rule instantiate :premises (@p487) :args ((@list @t338))) % 0.44/0.82 (step-pop @p495 :rule scope :premises (@p489)) % 0.44/0.82 (step @p490 :rule process_scope :premises (@p495) :args ((not @t339))) % 0.44/0.82 (step @p492 :rule implies_elim :premises (@p490)) % 0.44/0.82 (step @p493 false :rule chain_m_resolution :premises (@p492 @p487 @p484) :args (false (@list false false) (@list @t342 @t339))) % 0.44/0.82 ) % 0.44/0.82 % SZS output end Proof % 0.44/0.82 % cvc5 exiting %------------------------------------------------------------------------------