%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG378-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:05:52 AM UTC 2026 % Result : Unsatisfiable 1.01s 1.21s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.14 % Problem : ALG378-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n027.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 02:09:51 EDT 2026 % 0.18/0.36 % CPUTime : % 0.39/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.01/1.21 % SZS status Unsatisfiable % 1.01/1.21 % SZS output start Proof % 1.01/1.23 ( % 1.01/1.23 (declare-sort $$unsorted 0) % 1.01/1.23 (declare-const tptp.v_a $$unsorted) % 1.01/1.23 (declare-const tptp.v_b $$unsorted) % 1.01/1.23 (declare-const tptp.v_c $$unsorted) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Olordered__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Odist__norm (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__ring__abs (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__vector (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_RealVector_OscaleR__class_OscaleR (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.01/1.23 (declare-const tptp.c_RealVector_Odist__class_Odist (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__algebra (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.v_m $$unsorted) % 1.01/1.23 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.01/1.23 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.01/1.23 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.01/1.23 (define @t1 () (@var "T_a" $$unsorted)) % 1.01/1.23 (define @t2 () (@var "V_x" $$unsorted)) % 1.01/1.23 (define @t3 () (@var "V_y" $$unsorted)) % 1.01/1.23 (define @t4 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t2 @t1)) % 1.01/1.23 (define @t5 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t3 @t1)) % 1.01/1.23 (define @t6 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 1.01/1.23 (define @t7 () (@list @t1 @t2 @t3)) % 1.01/1.23 (define @t8 () (@var "V_c" $$unsorted)) % 1.01/1.23 (define @t9 () (@var "V_a" $$unsorted)) % 1.01/1.23 (define @t10 () (tptp.c_HOL_Oabs__class_Oabs @t9 @t1)) % 1.01/1.23 (define @t11 () (@var "V_d" $$unsorted)) % 1.01/1.23 (define @t12 () (@var "V_b" $$unsorted)) % 1.01/1.23 (define @t13 () (tptp.c_HOL_Oabs__class_Oabs @t12 @t1)) % 1.01/1.23 (define @t14 () (tptp.c_HOL_Otimes__class_Otimes @t10 @t13 @t1)) % 1.01/1.23 (define @t15 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 1.01/1.23 (define @t16 () (@list @t1 @t9 @t12 @t8 @t11)) % 1.01/1.23 (define @t17 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 1.01/1.23 (define @t18 () (tptp.c_HOL_Ouminus__class_Ouminus @t9 @t1)) % 1.01/1.23 (define @t19 () (tptp.c_HOL_Oord__class_Oless @t18 @t17 @t1)) % 1.01/1.23 (define @t20 () (tptp.c_HOL_Oord__class_Oless @t17 @t9 @t1)) % 1.01/1.23 (define @t21 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.01/1.23 (define @t22 () (@list @t1 @t9)) % 1.01/1.23 (define @t23 () (not @t20)) % 1.01/1.23 (define @t24 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t25 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 1.01/1.23 (define @t26 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 1.01/1.23 (define @t27 () (@list @t1 @t2)) % 1.01/1.23 (define @t28 () (= @t2 @t17)) % 1.01/1.23 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t9 @t12 @t1)) % 1.01/1.23 (define @t30 () (not @t29)) % 1.01/1.23 (define @t31 () (not (tptp.c_HOL_Oord__class_Oless @t8 @t11 @t1))) % 1.01/1.23 (define @t32 () (tptp.c_HOL_Oord__class_Oless @t17 @t12 @t1)) % 1.01/1.23 (define @t33 () (not @t32)) % 1.01/1.23 (define @t34 () (not (tptp.c_lessequals @t17 @t8 @t1))) % 1.01/1.23 (define @t35 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t11 @t1)) % 1.01/1.23 (define @t36 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t8 @t1)) % 1.01/1.23 (define @t37 () (tptp.c_HOL_Oord__class_Oless @t36 @t35 @t1)) % 1.01/1.23 (define @t38 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 1.01/1.23 (define @t39 () (@list @t1 @t9 @t8 @t12 @t11)) % 1.01/1.23 (define @t40 () (tptp.c_RealVector_Onorm__class_Onorm @t17 @t1)) % 1.01/1.23 (define @t41 () (@list @t1)) % 1.01/1.23 (define @t42 () (= @t2 @t3)) % 1.01/1.23 (define @t43 () (tptp.c_RealVector_Oof__real @t3 @t1)) % 1.01/1.23 (define @t44 () (tptp.c_RealVector_Oof__real @t2 @t1)) % 1.01/1.23 (define @t45 () (not (tptp.class_RealVector_Oreal__algebra__1 @t1))) % 1.01/1.23 (define @t46 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t12 @t1)) % 1.01/1.23 (define @t47 () (tptp.c_HOL_Ouminus__class_Ouminus @t46 @t1)) % 1.01/1.23 (define @t48 () (tptp.c_HOL_Ouminus__class_Ouminus @t9 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t49 () (@list @t1 @t9 @t12)) % 1.01/1.23 (define @t50 () (@var "V_xa" $$unsorted)) % 1.01/1.23 (define @t51 () (tptp.c_RealVector_OscaleR__class_OscaleR @t2 @t50 @t1)) % 1.01/1.23 (define @t52 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t53 () (not (tptp.class_RealVector_Oreal__vector @t1))) % 1.01/1.23 (define @t54 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t9 @t1)) % 1.01/1.23 (define @t55 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t12 @t1)) % 1.01/1.23 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t3 @t2 @t1)) % 1.01/1.23 (define @t57 () (not @t56)) % 1.01/1.23 (define @t58 () (@var "V_z" $$unsorted)) % 1.01/1.23 (define @t59 () (not (tptp.c_HOL_Oord__class_Oless @t58 @t3 @t1))) % 1.01/1.23 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t58 @t2 @t1)) % 1.01/1.23 (define @t61 () (not (tptp.class_Orderings_Oorder @t1))) % 1.01/1.23 (define @t62 () (@list @t1 @t58 @t2 @t3)) % 1.01/1.23 (define @t63 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 @t1)) % 1.01/1.23 (define @t64 () (not @t63)) % 1.01/1.23 (define @t65 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t58 @t1))) % 1.01/1.23 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t2 @t58 @t1)) % 1.01/1.23 (define @t67 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.01/1.23 (define @t68 () (@list @t1 @t2 @t58 @t3)) % 1.01/1.23 (define @t69 () (@var "V_r" $$unsorted)) % 1.01/1.23 (define @t70 () (tptp.c_RealVector_Oof__real @t69 @t1)) % 1.01/1.23 (define @t71 () (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t2 @t1)) % 1.01/1.23 (define @t72 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 1.01/1.23 (define @t73 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t8 @t1)) % 1.01/1.23 (define @t74 () (tptp.c_lessequals @t36 @t73 @t1)) % 1.01/1.23 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t17 @t8 @t1)) % 1.01/1.23 (define @t76 () (not @t75)) % 1.01/1.23 (define @t77 () (tptp.c_lessequals @t9 @t12 @t1)) % 1.01/1.23 (define @t78 () (@list @t1 @t9 @t12 @t8)) % 1.01/1.23 (define @t79 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t12 @t1)) % 1.01/1.23 (define @t80 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t9 @t1)) % 1.01/1.23 (define @t81 () (tptp.c_lessequals @t80 @t79 @t1)) % 1.01/1.23 (define @t82 () (not @t81)) % 1.01/1.23 (define @t83 () (not @t77)) % 1.01/1.23 (define @t84 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 1.01/1.23 (define @t85 () (@list @t1 @t8 @t9 @t12)) % 1.01/1.23 (define @t86 () (tptp.c_HOL_Oord__class_Oless @t8 @t17 @t1)) % 1.01/1.23 (define @t87 () (not @t86)) % 1.01/1.23 (define @t88 () (tptp.c_lessequals @t12 @t9 @t1)) % 1.01/1.23 (define @t89 () (not @t88)) % 1.01/1.23 (define @t90 () (@list @t1 @t12 @t9 @t8)) % 1.01/1.23 (define @t91 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t17 @t1)) % 1.01/1.23 (define @t92 () (= @t91 @t17)) % 1.01/1.23 (define @t93 () (@list @t1 @t12)) % 1.01/1.23 (define @t94 () (tptp.c_RealVector_OscaleR__class_OscaleR @t24 @t2 @t1)) % 1.01/1.23 (define @t95 () (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t1)) % 1.01/1.23 (define @t96 () (= (tptp.c_HOL_Oplus__class_Oplus @t18 @t9 @t1) @t17)) % 1.01/1.23 (define @t97 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.01/1.23 (define @t98 () (@list @t2)) % 1.01/1.23 (define @t99 () (tptp.c_HOL_Oord__class_Oless @t9 @t17 @t1)) % 1.01/1.23 (define @t100 () (not @t99)) % 1.01/1.23 (define @t101 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t17 @t1))) % 1.01/1.23 (define @t102 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t12 @t1)) % 1.01/1.23 (define @t103 () (tptp.c_HOL_Oord__class_Oless @t102 @t17 @t1)) % 1.01/1.23 (define @t104 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 1.01/1.23 (define @t105 () (tptp.c_RealVector_Odist__class_Odist @t2 @t3 @t1)) % 1.01/1.23 (define @t106 () (not (tptp.class_RealVector_Ometric__space @t1))) % 1.01/1.23 (define @t107 () (= @t10 @t9)) % 1.01/1.23 (define @t108 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 1.01/1.23 (define @t109 () (= @t3 @t17)) % 1.01/1.23 (define @t110 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t2 @t1)) % 1.01/1.23 (define @t111 () (tptp.c_HOL_Oplus__class_Oplus @t110 (tptp.c_HOL_Otimes__class_Otimes @t3 @t3 @t1) @t1)) % 1.01/1.23 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t17 @t111 @t1)) % 1.01/1.23 (define @t113 () (tptp.c_HOL_Oord__class_Oless @t80 @t79 @t1)) % 1.01/1.23 (define @t114 () (tptp.c_HOL_Oord__class_Oless @t12 @t9 @t1)) % 1.01/1.23 (define @t115 () (not @t114)) % 1.01/1.23 (define @t116 () (tptp.c_HOL_Oord__class_Oless @t36 @t73 @t1)) % 1.01/1.23 (define @t117 () (@list @t1 @t9 @t8 @t12)) % 1.01/1.23 (define @t118 () (not @t113)) % 1.01/1.23 (define @t119 () (tptp.c_HOL_Ouminus__class_Ouminus @t95 @t1)) % 1.01/1.23 (define @t120 () (tptp.c_HOL_Ouminus__class_Ouminus @t18 @t1)) % 1.01/1.23 (define @t121 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 1.01/1.23 (define @t122 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 1.01/1.23 (define @t123 () (tptp.c_HOL_Oord__class_Oless @t95 @t9 @t1)) % 1.01/1.23 (define @t124 () (tptp.c_HOL_Oord__class_Oless @t18 @t12 @t1)) % 1.01/1.23 (define @t125 () (not @t124)) % 1.01/1.23 (define @t126 () (@list @t1 @t12 @t9)) % 1.01/1.23 (define @t127 () (tptp.c_HOL_Oord__class_Oless @t12 @t18 @t1)) % 1.01/1.23 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t9 @t95 @t1)) % 1.01/1.23 (define @t129 () (not (tptp.c_lessequals @t58 @t3 @t1))) % 1.01/1.23 (define @t130 () (tptp.c_lessequals @t3 @t2 @t1)) % 1.01/1.23 (define @t131 () (not @t130)) % 1.01/1.23 (define @t132 () (not (tptp.c_lessequals @t3 @t58 @t1))) % 1.01/1.23 (define @t133 () (tptp.c_lessequals @t2 @t3 @t1)) % 1.01/1.23 (define @t134 () (not @t133)) % 1.01/1.23 (define @t135 () (= @t9 @t12)) % 1.01/1.23 (define @t136 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.01/1.23 (define @t137 () (tptp.c_lessequals @t95 @t18 @t1)) % 1.01/1.23 (define @t138 () (@list @t1 @t3 @t2)) % 1.01/1.23 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 1.01/1.23 (define @t140 () (not @t139)) % 1.01/1.23 (define @t141 () (tptp.c_lessequals @t2 @t2 @t1)) % 1.01/1.23 (define @t142 () (tptp.c_lessequals @t95 @t9 @t1)) % 1.01/1.23 (define @t143 () (tptp.c_lessequals @t18 @t12 @t1)) % 1.01/1.23 (define @t144 () (not @t143)) % 1.01/1.23 (define @t145 () (tptp.c_lessequals @t12 @t18 @t1)) % 1.01/1.23 (define @t146 () (tptp.c_lessequals @t9 @t95 @t1)) % 1.01/1.23 (define @t147 () (not @t146)) % 1.01/1.23 (define @t148 () (not (tptp.c_lessequals @t12 @t8 @t1))) % 1.01/1.23 (define @t149 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t8 @t1)) % 1.01/1.23 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t12 @t149 @t1)) % 1.01/1.23 (define @t151 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 1.01/1.23 (define @t152 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 1.01/1.23 (define @t153 () (tptp.c_lessequals @t17 @t12 @t1)) % 1.01/1.23 (define @t154 () (not @t153)) % 1.01/1.23 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t17 @t102 @t1)) % 1.01/1.23 (define @t156 () (tptp.c_lessequals @t17 @t9 @t1)) % 1.01/1.23 (define @t157 () (not @t156)) % 1.01/1.23 (define @t158 () (tptp.c_lessequals @t102 @t17 @t1)) % 1.01/1.23 (define @t159 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 1.01/1.23 (define @t160 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t17 @t1)) % 1.01/1.23 (define @t161 () (tptp.c_HOL_Oplus__class_Oplus @t160 @t160 @t1)) % 1.01/1.23 (define @t162 () (tptp.c_lessequals @t9 @t17 @t1)) % 1.01/1.23 (define @t163 () (not @t162)) % 1.01/1.23 (define @t164 () (tptp.c_lessequals @t12 @t17 @t1)) % 1.01/1.23 (define @t165 () (not @t164)) % 1.01/1.23 (define @t166 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t8 @t1))) % 1.01/1.23 (define @t167 () (not (tptp.c_lessequals @t111 @t17 @t1))) % 1.01/1.23 (define @t168 () (tptp.c_HOL_Ouminus__class_Ouminus @t102 @t1)) % 1.01/1.23 (define @t169 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t8 @t1)) % 1.01/1.23 (define @t170 () (tptp.c_HOL_Oord__class_Oless @t149 @t169 @t1)) % 1.01/1.23 (define @t171 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 1.01/1.23 (define @t172 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t12 @t1)) % 1.01/1.23 (define @t173 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t9 @t1)) % 1.01/1.23 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t173 @t172 @t1)) % 1.01/1.23 (define @t175 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t58 @t1)) % 1.01/1.23 (define @t176 () (tptp.c_HOL_Ouminus__class_Ouminus @t58 @t1)) % 1.01/1.23 (define @t177 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t11 @t1)) % 1.01/1.23 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t149 @t177 @t1)) % 1.01/1.23 (define @t179 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t2 @t1)) % 1.01/1.23 (define @t180 () (tptp.c_HOL_Ouminus__class_Ouminus @t179 @t1)) % 1.01/1.23 (define @t181 () (@list @t1 @t9 @t2)) % 1.01/1.23 (define @t182 () (tptp.c_RealVector_Odist__class_Odist @t2 @t2 @t1)) % 1.01/1.23 (define @t183 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 1.01/1.23 (define @t184 () (not @t116)) % 1.01/1.23 (define @t185 () (= @t9 @t95)) % 1.01/1.23 (define @t186 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t12 @t1)) % 1.01/1.23 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t9 @t1)) % 1.01/1.23 (define @t188 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 1.01/1.23 (define @t189 () (tptp.c_HOL_Oord__class_Oless @t69 @t24 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t190 () (tptp.c_HOL_Ouminus__class_Ouminus @t69 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t191 () (tptp.c_HOL_Oabs__class_Oabs @t69 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t192 () (@list @t69)) % 1.01/1.23 (define @t193 () (= @t10 @t18)) % 1.01/1.23 (define @t194 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 1.01/1.23 (define @t195 () (not (tptp.class_Ring__and__Field_Oabs__if @t1))) % 1.01/1.23 (define @t196 () (= @t12 @t17)) % 1.01/1.23 (define @t197 () (= @t9 @t17)) % 1.01/1.23 (define @t198 () (not (= @t55 @t17))) % 1.01/1.23 (define @t199 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 1.01/1.23 (define @t200 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 1.01/1.23 (define @t201 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t9 @t1)) % 1.01/1.23 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t201 @t17 @t1)) % 1.01/1.23 (define @t203 () (not @t202)) % 1.01/1.23 (define @t204 () (tptp.c_HOL_Oord__class_Oless @t17 @t55 @t1)) % 1.01/1.23 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t10 @t12 @t1)) % 1.01/1.23 (define @t206 () (not @t205)) % 1.01/1.23 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t95 @t18 @t1)) % 1.01/1.23 (define @t208 () (= (tptp.c_RealVector_Oof__real @t24 @t1) @t17)) % 1.01/1.23 (define @t209 () (@var "V_ry" $$unsorted)) % 1.01/1.23 (define @t210 () (@var "V_ly" $$unsorted)) % 1.01/1.23 (define @t211 () (@var "V_rx" $$unsorted)) % 1.01/1.23 (define @t212 () (@var "V_lx" $$unsorted)) % 1.01/1.23 (define @t213 () (tptp.c_HOL_Otimes__class_Otimes @t212 @t211 @t1)) % 1.01/1.23 (define @t214 () (tptp.c_HOL_Otimes__class_Otimes @t211 @t209 @t1)) % 1.01/1.23 (define @t215 () (tptp.c_HOL_Otimes__class_Otimes @t212 @t210 @t1)) % 1.01/1.23 (define @t216 () (tptp.c_HOL_Otimes__class_Otimes @t215 @t214 @t1)) % 1.01/1.23 (define @t217 () (@list @t1 @t212 @t210 @t211 @t209)) % 1.01/1.23 (define @t218 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 1.01/1.23 (define @t219 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t12 @t1)) % 1.01/1.23 (define @t220 () (tptp.c_HOL_Ouminus__class_Ouminus @t55 @t1)) % 1.01/1.23 (define @t221 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 1.01/1.23 (define @t222 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t95 @t1)) % 1.01/1.23 (define @t223 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 1.01/1.23 (define @t224 () (tptp.c_lessequals @t18 @t17 @t1)) % 1.01/1.23 (define @t225 () (tptp.c_lessequals @t55 @t17 @t1)) % 1.01/1.23 (define @t226 () (not @t225)) % 1.01/1.23 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t55 @t17 @t1)) % 1.01/1.23 (define @t228 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 1.01/1.23 (define @t229 () (not (tptp.c_lessequals @t8 @t17 @t1))) % 1.01/1.23 (define @t230 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 1.01/1.23 (define @t231 () (= @t8 @t11)) % 1.01/1.23 (define @t232 () (not (tptp.class_Int_Onumber__ring @t1))) % 1.01/1.23 (define @t233 () (not (= @t111 @t17))) % 1.01/1.23 (define @t234 () (tptp.c_lessequals @t17 @t55 @t1)) % 1.01/1.23 (define @t235 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 1.01/1.23 (define @t236 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t237 () (tptp.c_HOL_Oord__class_Oless @t24 @t236 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t238 () (tptp.c_HOL_Oord__class_Oless @t52 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t239 () (@list @t2 @t3)) % 1.01/1.23 (define @t240 () (tptp.c_HOL_Otimes__class_Otimes @t215 @t211 @t1)) % 1.01/1.23 (define @t241 () (@list @t1 @t212 @t210 @t211)) % 1.01/1.23 (define @t242 () (tptp.c_HOL_Otimes__class_Otimes @t212 @t214 @t1)) % 1.01/1.23 (define @t243 () (@list @t1 @t212 @t211 @t209)) % 1.01/1.23 (define @t244 () (@list @t1 @t2 @t3 @t58)) % 1.01/1.23 (define @t245 () (tptp.c_HOL_Oord__class_Oless @t17 @t201 @t1)) % 1.01/1.23 (define @t246 () (not @t234)) % 1.01/1.23 (define @t247 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 1.01/1.23 (define @t248 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 1.01/1.23 (define @t249 () (@var "V_w" $$unsorted)) % 1.01/1.23 (define @t250 () (= @t3 @t58)) % 1.01/1.23 (define @t251 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t58 @t1)) % 1.01/1.23 (define @t252 () (@var "V_m" $$unsorted)) % 1.01/1.23 (define @t253 () (= (tptp.c_HOL_Otimes__class_Otimes @t102 @t8 @t1) (tptp.c_HOL_Oplus__class_Oplus @t36 @t73 @t1))) % 1.01/1.23 (define @t254 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t251 @t1)) % 1.01/1.23 (define @t255 () (@var "V_a_H" $$unsorted)) % 1.01/1.23 (define @t256 () (tptp.c_HOL_Otimes__class_Otimes @t255 @t12 @t1)) % 1.01/1.23 (define @t257 () (@list @t1 @t9 @t255 @t12)) % 1.01/1.23 (define @t258 () (@var "V_ya" $$unsorted)) % 1.01/1.23 (define @t259 () (tptp.c_HOL_Otimes__class_Otimes @t3 @t258 @t1)) % 1.01/1.23 (define @t260 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t258 @t1)) % 1.01/1.23 (define @t261 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t3 @t1)) % 1.01/1.23 (define @t262 () (@list @t1 @t2 @t3 @t258)) % 1.01/1.23 (define @t263 () (@var "V_b_H" $$unsorted)) % 1.01/1.23 (define @t264 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t263 @t1)) % 1.01/1.23 (define @t265 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t263 @t1)) % 1.01/1.23 (define @t266 () (@list @t1 @t9 @t12 @t263)) % 1.01/1.23 (define @t267 () (tptp.c_HOL_Otimes__class_Otimes @t50 @t3 @t1)) % 1.01/1.23 (define @t268 () (tptp.c_HOL_Otimes__class_Otimes @t50 @t2 @t1)) % 1.01/1.23 (define @t269 () (@list @t1 @t50 @t2 @t3)) % 1.01/1.23 (define @t270 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t8 @t1)) % 1.01/1.23 (define @t271 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t11 @t1)) % 1.01/1.23 (define @t272 () (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t17 @t1) @t17)) % 1.01/1.23 (define @t273 () (@var "V_e" $$unsorted)) % 1.01/1.23 (define @t274 () (tptp.c_HOL_Otimes__class_Otimes @t12 @t273 @t1)) % 1.01/1.23 (define @t275 () (tptp.c_HOL_Otimes__class_Otimes @t9 @t273 @t1)) % 1.01/1.23 (define @t276 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t3 @t1)) % 1.01/1.23 (define @t277 () (@list @t1 @t9 @t2 @t3)) % 1.01/1.23 (define @t278 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t263 @t1)) % 1.01/1.23 (define @t279 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t175 @t1)) % 1.01/1.23 (define @t280 () (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t17 @t1) @t9)) % 1.01/1.23 (define @t281 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 1.01/1.23 (define @t282 () (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t9 @t1) @t9)) % 1.01/1.23 (define @t283 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t9 @t1)) % 1.01/1.23 (define @t284 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t283 @t273 @t1) @t11 @t1)) % 1.01/1.23 (define @t285 () (tptp.c_HOL_Oord__class_Oless @t8 @t284 @t1)) % 1.01/1.23 (define @t286 () (tptp.c_HOL_Oplus__class_Oplus @t274 @t11 @t1)) % 1.01/1.23 (define @t287 () (tptp.c_HOL_Oplus__class_Oplus @t275 @t8 @t1)) % 1.01/1.23 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t287 @t286 @t1)) % 1.01/1.23 (define @t289 () (@list @t1 @t9 @t273 @t8 @t12 @t11)) % 1.01/1.23 (define @t290 () (not @t288)) % 1.01/1.23 (define @t291 () (@list @t1 @t8 @t12 @t9 @t273 @t11)) % 1.01/1.23 (define @t292 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t12 @t1)) % 1.01/1.23 (define @t293 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t292 @t273 @t1) @t8 @t1)) % 1.01/1.23 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t293 @t11 @t1)) % 1.01/1.23 (define @t295 () (@list @t1 @t9 @t12 @t273 @t8 @t11)) % 1.01/1.23 (define @t296 () (not (tptp.c_lessequals @t17 @t2 @t1))) % 1.01/1.23 (define @t297 () (tptp.c_HOL_Oabs__class_Oabs @t55 @t1)) % 1.01/1.23 (define @t298 () (= @t297 @t14)) % 1.01/1.23 (define @t299 () (not (tptp.class_Ring__and__Field_Opordered__ring__abs @t1))) % 1.01/1.23 (define @t300 () (tptp.c_HOL_Ouminus__class_Ouminus @t292 @t1)) % 1.01/1.23 (define @t301 () (@var "V_y_H" $$unsorted)) % 1.01/1.23 (define @t302 () (@var "V_x_H" $$unsorted)) % 1.01/1.23 (define @t303 () (tptp.c_HOL_Oord__class_Oless @t302 @t301 @t1)) % 1.01/1.23 (define @t304 () (tptp.c_HOL_Ominus__class_Ominus @t302 @t301 @t1)) % 1.01/1.23 (define @t305 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 @t1)) % 1.01/1.23 (define @t306 () (not (= @t305 @t304))) % 1.01/1.23 (define @t307 () (@list @t1 @t2 @t3 @t302 @t301)) % 1.01/1.23 (define @t308 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t263 @t1)) % 1.01/1.23 (define @t309 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 1.01/1.23 (define @t310 () (= @t309 @t17)) % 1.01/1.23 (define @t311 () (not (= @t292 @t17))) % 1.01/1.23 (define @t312 () (tptp.c_RealVector_Onorm__class_Onorm @t292 @t1)) % 1.01/1.23 (define @t313 () (tptp.c_HOL_Oord__class_Oless @t2 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t314 () (tptp.c_lessequals @t2 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t315 () (not @t314)) % 1.01/1.23 (define @t316 () (@var "V_s" $$unsorted)) % 1.01/1.23 (define @t317 () (tptp.c_RealVector_Onorm__class_Onorm @t3 @t1)) % 1.01/1.23 (define @t318 () (tptp.c_RealVector_Onorm__class_Onorm @t261 @t1)) % 1.01/1.23 (define @t319 () (tptp.c_lessequals @t236 @t24 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t320 () (tptp.c_lessequals @t3 @t52 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t321 () (@list @t3 @t2)) % 1.01/1.23 (define @t322 () (tptp.c_lessequals @t24 @t236 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t323 () (tptp.c_lessequals @t52 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t324 () (tptp.c_HOL_Oabs__class_Oabs @t17 @t1)) % 1.01/1.23 (define @t325 () (tptp.c_RealVector_Onorm__class_Onorm @t9 @t1)) % 1.01/1.23 (define @t326 () (tptp.c_lessequals @t201 @t17 @t1)) % 1.01/1.23 (define @t327 () (tptp.c_lessequals @t17 @t201 @t1)) % 1.01/1.23 (define @t328 () (not (tptp.c_lessequals @t17 @t3 @t1))) % 1.01/1.23 (define @t329 () (not (= @t261 @t17))) % 1.01/1.23 (define @t330 () (tptp.c_lessequals @t12 @t149 @t1)) % 1.01/1.23 (define @t331 () (not (tptp.c_lessequals @t17 @t17 @t1))) % 1.01/1.23 (define @t332 () (not (tptp.c_lessequals @t8 @t11 @t1))) % 1.01/1.23 (define @t333 () (tptp.c_lessequals @t292 @t17 @t1)) % 1.01/1.23 (define @t334 () (not (= @t287 @t286))) % 1.01/1.23 (define @t335 () (= @t292 (tptp.c_HOL_Oplus__class_Oplus @t9 @t95 @t1))) % 1.01/1.23 (define @t336 () (= @t305 (tptp.c_HOL_Oplus__class_Oplus @t2 @t218 @t1))) % 1.01/1.23 (define @t337 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t12 @t1)) % 1.01/1.23 (define @t338 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t9 @t1)) % 1.01/1.23 (define @t339 () (@list @t1 @t2 @t3 @t9 @t12)) % 1.01/1.23 (define @t340 () (tptp.c_lessequals @t36 @t35 @t1)) % 1.01/1.23 (define @t341 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 1.01/1.23 (define @t342 () (= (tptp.c_RealVector_Oof__real @t52 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t44 @t1))) % 1.01/1.23 (define @t343 () (@var "V_S" $$unsorted)) % 1.01/1.23 (define @t344 () (@var "V_W" $$unsorted)) % 1.01/1.23 (define @t345 () (tptp.c_HOL_Oord__class_Oless @t344 @t343 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t24 (tptp.c_HOL_Oplus__class_Oplus @t343 (tptp.c_HOL_Ouminus__class_Ouminus @t344 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t347 () (tptp.c_lessequals @t17 @t18 @t1)) % 1.01/1.23 (define @t348 () (= @t9 @t24)) % 1.01/1.23 (define @t349 () (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t55 @t1)) % 1.01/1.23 (define @t350 () (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t12 @t1)) % 1.01/1.23 (define @t351 () (@list @t1 @t9 @t69 @t12)) % 1.01/1.23 (define @t352 () (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t5 @t1)) % 1.01/1.23 (define @t353 () (not (tptp.class_RealVector_Oreal__algebra @t1))) % 1.01/1.23 (define @t354 () (tptp.c_lessequals @t9 @t18 @t1)) % 1.01/1.23 (define @t355 () (not @t354)) % 1.01/1.23 (define @t356 () (tptp.c_lessequals @t18 @t9 @t1)) % 1.01/1.23 (define @t357 () (not @t356)) % 1.01/1.23 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t236 @t24 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t3 @t52 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t360 () (tptp.c_RealVector_OscaleR__class_OscaleR @t12 @t2 @t1)) % 1.01/1.23 (define @t361 () (@list @t1 @t9 @t12 @t2)) % 1.01/1.23 (define @t362 () (@var "V_ra" $$unsorted)) % 1.01/1.23 (define @t363 () (not (= @t102 @t17))) % 1.01/1.23 (define @t364 () (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t9 @t1) @t17)) % 1.01/1.23 (define @t365 () (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t17 @t1) @t17)) % 1.01/1.23 (define @t366 () (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t12 @t1) @t17)) % 1.01/1.23 (define @t367 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 1.01/1.23 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t292 @t17 @t1)) % 1.01/1.23 (define @t369 () (tptp.c_HOL_Ouminus__class_Ouminus @t17 @t1)) % 1.01/1.23 (define @t370 () (= @t369 @t17)) % 1.01/1.23 (define @t371 () (tptp.c_HOL_Oord__class_Oless @t17 @t18 @t1)) % 1.01/1.23 (define @t372 () (forall @t7 (or (not (tptp.class_RealVector_Odist__norm @t1)) (= @t105 (tptp.c_RealVector_Onorm__class_Onorm @t305 @t1))))) % 1.01/1.23 (define @t373 () (tptp.c_HOL_Oord__class_Oless @t9 @t18 @t1)) % 1.01/1.23 (define @t374 () (tptp.c_lessequals @t10 @t12 @t1)) % 1.01/1.23 (define @t375 () (not @t374)) % 1.01/1.23 (define @t376 () (= (tptp.c_RealVector_Oof__real @t236 @t1) (tptp.c_HOL_Oplus__class_Oplus @t44 @t43 @t1))) % 1.01/1.23 (define @t377 () (tptp.c_RealVector_OscaleR__class_OscaleR @t3 @t50 @t1)) % 1.01/1.23 (define @t378 () (@list @t1 @t2 @t3 @t50)) % 1.01/1.23 (define @t379 () (tptp.c_RealVector_OscaleR__class_OscaleR @t255 @t12 @t1)) % 1.01/1.23 (define @t380 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs @t338 @t1) @t69 @t1)) % 1.01/1.23 (define @t381 () (not @t380)) % 1.01/1.23 (define @t382 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t9 @t69 @t1) @t2 @t1)) % 1.01/1.23 (define @t383 () (tptp.c_RealVector_Odist__class_Odist @t3 @t58 @t1)) % 1.01/1.23 (define @t384 () (tptp.c_RealVector_Odist__class_Odist @t2 @t58 @t1)) % 1.01/1.23 (define @t385 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t3 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t386 () (= (tptp.c_RealVector_Oof__real @t385 @t1) (tptp.c_HOL_Ominus__class_Ominus @t44 @t43 @t1))) % 1.01/1.23 (define @t387 () (tptp.c_lessequals @t385 @t24 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t388 () (tptp.c_lessequals @t190 @t2 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t389 () (tptp.c_lessequals @t2 @t69 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t390 () (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t2 tptp.tc_RealDef_Oreal) @t69 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t391 () (@list @t2 @t69)) % 1.01/1.23 (define @t392 () (not @t390)) % 1.01/1.23 (define @t393 () (forall @t239 (= (tptp.c_RealVector_Odist__class_Odist @t2 @t3 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs @t385 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (define @t394 () (tptp.c_lessequals @t8 @t284 @t1)) % 1.01/1.23 (define @t395 () (tptp.c_lessequals @t287 @t286 @t1)) % 1.01/1.23 (define @t396 () (not @t395)) % 1.01/1.23 (define @t397 () (tptp.c_lessequals @t293 @t11 @t1)) % 1.01/1.23 (define @t398 () (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Oplus__class_Oplus @t9 @t69 @t1) @t1)) % 1.01/1.23 (define @t399 () (@list @t1 @t2 @t9 @t69)) % 1.01/1.23 (define @t400 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t1)) % 1.01/1.23 (define @t401 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t9 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t402 () (tptp.c_HOL_Ominus__class_Ominus @t325 @t400 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t403 () (tptp.c_HOL_Ouminus__class_Ouminus @t252 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t404 () (@var "V_l" $$unsorted)) % 1.01/1.23 (define @t405 () (tptp.c_HOL_Ouminus__class_Ouminus @t404 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t406 () (tptp.c_HOL_Ominus__class_Ominus @t12 @t11 @t1)) % 1.01/1.23 (define @t407 () (tptp.c_HOL_Ominus__class_Ominus @t9 @t8 @t1)) % 1.01/1.23 (define @t408 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t11 @t1)) % 1.01/1.23 (define @t409 () (tptp.c_HOL_Ominus__class_Ominus @t102 @t408 @t1)) % 1.01/1.23 (define @t410 () (tptp.c_lessequals @t58 @t249 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t411 () (tptp.c_lessequals @t249 @t58 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t412 () (@var "V_j" $$unsorted)) % 1.01/1.23 (define @t413 () (@var "V_i" $$unsorted)) % 1.01/1.23 (define @t414 () (@var "V_k" $$unsorted)) % 1.01/1.23 (define @t415 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t13 @t1)) % 1.01/1.23 (define @t416 () (tptp.c_HOL_Oabs__class_Oabs @t292 @t1)) % 1.01/1.23 (define @t417 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t9 @t1)) % 1.01/1.23 (define @t418 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 1.01/1.23 (define @t419 () (@var "V_u" $$unsorted)) % 1.01/1.23 (define @t420 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t58 @t1)) % 1.01/1.23 (define @t421 () (= @t12 @t8)) % 1.01/1.23 (define @t422 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 1.01/1.23 (define @t423 () (not (= @t102 @t149))) % 1.01/1.23 (define @t424 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t13 @t1)) % 1.01/1.23 (define @t425 () (tptp.c_lessequals @t301 @t302 @t1)) % 1.01/1.23 (define @t426 () (tptp.c_lessequals @t149 @t169 @t1)) % 1.01/1.23 (define @t427 () (tptp.c_lessequals @t173 @t172 @t1)) % 1.01/1.23 (define @t428 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t169 @t1)) % 1.01/1.23 (define @t429 () (tptp.c_HOL_Oplus__class_Oplus @t102 @t8 @t1)) % 1.01/1.23 (define @t430 () (= @t429 @t428)) % 1.01/1.23 (define @t431 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t408 @t1)) % 1.01/1.23 (define @t432 () (@list @t1 @t9 @t8 @t11)) % 1.01/1.23 (define @t433 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus tptp.v_a tptp.v_b tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t434 () (tptp.c_lessequals @t433 tptp.v_c tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t435 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus tptp.v_a tptp.v_m tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t436 () (tptp.c_HOL_Ominus__class_Ominus tptp.v_b tptp.v_m tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t437 () (tptp.c_HOL_Oabs__class_Oabs @t436 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t438 () (tptp.c_lessequals @t437 (tptp.c_HOL_Oplus__class_Oplus @t435 tptp.v_c tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t439 () (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t440 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t441 () (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t442 () (tptp.class_RealVector_Odist__norm tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t443 () (tptp.c_RealVector_Odist__class_Odist tptp.v_a tptp.v_b tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t444 () (= @t443 @t433)) % 1.01/1.23 (define @t445 () (@list tptp.v_a tptp.v_b)) % 1.01/1.23 (define @t446 () (= @t433 @t443)) % 1.01/1.23 (define @t447 () (@list false)) % 1.01/1.23 (define @t448 () (@list @t393)) % 1.01/1.23 (define @t449 () (tptp.c_RealVector_Odist__class_Odist tptp.v_a tptp.v_m tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t450 () (= @t449 @t435)) % 1.01/1.23 (define @t451 () (@list tptp.v_a tptp.v_m)) % 1.01/1.23 (define @t452 () (= @t435 @t449)) % 1.01/1.23 (define @t453 () (tptp.c_RealVector_Odist__class_Odist tptp.v_b tptp.v_m tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t454 () (= @t453 @t437)) % 1.01/1.23 (define @t455 () (@list tptp.v_b tptp.v_m)) % 1.01/1.23 (define @t456 () (= @t437 @t453)) % 1.01/1.23 (define @t457 () (tptp.c_RealVector_Onorm__class_Onorm @t436 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t458 () (not @t442)) % 1.01/1.23 (define @t459 () (or @t458 (= @t453 @t457))) % 1.01/1.23 (define @t460 () (@list tptp.tc_RealDef_Oreal tptp.v_b tptp.v_m)) % 1.01/1.23 (define @t461 () (= @t457 @t453)) % 1.01/1.23 (define @t462 () (or @t458 @t461)) % 1.01/1.23 (define @t463 () (@list false false)) % 1.01/1.23 (define @t464 () (tptp.c_lessequals @t437 (tptp.c_HOL_Oplus__class_Oplus @t435 @t433 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t465 () (not @t464)) % 1.01/1.23 (define @t466 () (not @t434)) % 1.01/1.23 (define @t467 () (not @t440)) % 1.01/1.23 (define @t468 () (or @t467 @t438 @t466 @t465)) % 1.01/1.23 (define @t469 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus tptp.v_b tptp.v_a tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t470 () (= @t433 @t469)) % 1.01/1.23 (define @t471 () (not @t439)) % 1.01/1.23 (define @t472 () (or @t471 @t470)) % 1.01/1.23 (define @t473 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus tptp.v_m tptp.v_a tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t474 () (= @t435 @t473)) % 1.01/1.23 (define @t475 () (or @t471 @t474)) % 1.01/1.23 (define @t476 () (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus tptp.v_m tptp.v_b tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t477 () (= @t437 @t476)) % 1.01/1.23 (define @t478 () (or @t471 @t477)) % 1.01/1.23 (define @t479 () (tptp.c_RealVector_Odist__class_Odist tptp.v_m tptp.v_b tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t480 () (= @t479 @t476)) % 1.01/1.23 (define @t481 () (@list tptp.v_m tptp.v_b)) % 1.01/1.23 (define @t482 () (= @t476 @t479)) % 1.01/1.23 (define @t483 () (tptp.c_HOL_Oplus__class_Oplus @t449 @t443 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t484 () (tptp.c_lessequals @t479 @t483 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t485 () (not @t441)) % 1.01/1.23 (define @t486 () (or @t485 @t484)) % 1.01/1.23 (define @t487 () (not @t484)) % 1.01/1.23 (define @t488 () (not @t482)) % 1.01/1.23 (define @t489 () (not @t477)) % 1.01/1.23 (define @t490 () (not @t474)) % 1.01/1.23 (define @t491 () (not @t470)) % 1.01/1.23 (define @t492 () (not @t456)) % 1.01/1.23 (define @t493 () (not @t452)) % 1.01/1.23 (define @t494 () (not @t446)) % 1.01/1.23 (define @t495 () (not @t461)) % 1.01/1.23 (define @t496 () (tptp.c_HOL_Oplus__class_Oplus @t435 @t469 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (define @t497 () (and @t461 @t446 @t452 @t456 @t465 @t470 @t474 @t477 @t482)) % 1.01/1.23 (assume @p1 (forall @t7 (or @t6 (= @t5 @t4)))) % 1.01/1.23 (assume @p2 (forall @t16 (or @t15 (tptp.c_HOL_Oord__class_Oless @t14 (tptp.c_HOL_Otimes__class_Otimes @t8 @t11 @t1) @t1) (not (tptp.c_HOL_Oord__class_Oless @t13 @t11 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t10 @t8 @t1))))) % 1.01/1.23 (assume @p3 (forall @t22 (or @t21 @t20 (not @t19)))) % 1.01/1.23 (assume @p4 (forall @t22 (or @t21 @t19 @t23))) % 1.01/1.23 (assume @p5 (forall @t27 (or @t26 (not (tptp.c_HOL_Oord__class_Oless @t25 @t24 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p6 (forall @t27 (or @t26 @t28 (not (tptp.c_lessequals @t25 @t24 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p7 (forall @t39 (or @t38 @t37 @t34 @t33 @t31 @t30))) % 1.01/1.23 (assume @p8 (forall @t41 (or @t26 (tptp.c_lessequals @t40 @t24 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p9 (forall @t7 (or @t45 (not (= @t44 @t43)) @t42))) % 1.01/1.23 (assume @p10 (forall @t27 (or @t26 (not (= @t25 @t24)) @t28))) % 1.01/1.23 (assume @p11 (forall @t49 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t48 @t12 @t1) @t47)))) % 1.01/1.23 (assume @p12 (forall (@list @t1 @t2 @t50) (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t52 @t50 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t51 @t1))))) % 1.01/1.23 (assume @p13 (forall @t49 (or @t6 (= @t55 @t54)))) % 1.01/1.23 (assume @p14 (forall @t62 (or @t61 @t60 @t59 @t57))) % 1.01/1.23 (assume @p15 (forall @t68 (or @t67 @t66 @t65 @t64))) % 1.01/1.23 (assume @p16 (forall (@list @t1 @t69 @t2) (or @t45 (= @t71 (tptp.c_HOL_Otimes__class_Otimes @t70 @t2 @t1))))) % 1.01/1.23 (assume @p17 (forall @t22 (or @t72 (not (= @t17 @t18)) (= @t17 @t9)))) % 1.01/1.23 (assume @p18 (forall @t78 (or @t38 @t77 @t76 (not @t74)))) % 1.01/1.23 (assume @p19 (forall @t78 (or @t38 @t77 @t76 @t82))) % 1.01/1.23 (assume @p20 (forall @t85 (or @t84 @t81 @t83 @t76))) % 1.01/1.23 (assume @p21 (forall @t78 (or @t84 @t77 @t82 @t76))) % 1.01/1.23 (assume @p22 (forall @t85 (or @t84 @t81 @t89 @t87))) % 1.01/1.23 (assume @p23 (forall @t90 (or @t84 @t88 @t82 @t87))) % 1.01/1.23 (assume @p24 (forall @t22 (or @t26 @t92))) % 1.01/1.23 (assume @p25 (forall @t93 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t24 @t12 @t1) @t17)))) % 1.01/1.23 (assume @p26 (forall @t22 (or @t53 @t92))) % 1.01/1.23 (assume @p27 (forall @t27 (or @t53 (= @t94 @t17)))) % 1.01/1.23 (assume @p28 (forall @t93 (or @t72 (= (tptp.c_HOL_Oplus__class_Oplus @t95 @t12 @t1) @t17)))) % 1.01/1.23 (assume @p29 (forall @t22 (or @t97 @t96))) % 1.01/1.23 (assume @p30 (forall @t22 (or @t72 (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t18 @t1) @t17)))) % 1.01/1.23 (assume @p31 (forall @t22 (or @t72 @t96))) % 1.01/1.23 (assume @p32 (forall @t98 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t52 tptp.tc_RealDef_Oreal) @t24))) % 1.01/1.23 (assume @p33 (forall @t49 (or @t104 @t103 @t101 @t100))) % 1.01/1.23 (assume @p34 (forall @t7 (or @t106 (not (= @t105 @t24)) @t42))) % 1.01/1.23 (assume @p35 (forall @t22 (or @t108 @t107 @t23))) % 1.01/1.23 (assume @p36 (forall @t7 (or @t84 @t112 @t109))) % 1.01/1.23 (assume @p37 (forall @t7 (or @t84 @t112 @t28))) % 1.01/1.23 (assume @p38 (forall @t7 (or @t106 @t42 (not (tptp.c_lessequals @t105 @t24 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p39 (forall @t85 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t113 @t76 @t30))) % 1.01/1.23 (assume @p40 (forall @t117 (or @t84 @t116 @t115 @t87))) % 1.01/1.23 (assume @p41 (forall @t117 (or @t84 @t116 @t30 @t76))) % 1.01/1.23 (assume @p42 (forall @t117 (or @t38 @t116 @t76 @t30))) % 1.01/1.23 (assume @p43 (forall @t117 (or @t84 @t116 @t87 @t115))) % 1.01/1.23 (assume @p44 (forall @t85 (or @t84 @t113 @t115 @t87))) % 1.01/1.23 (assume @p45 (forall @t85 (or @t84 @t113 @t30 @t76))) % 1.01/1.23 (assume @p46 (forall @t85 (or @t38 @t113 @t76 @t30))) % 1.01/1.23 (assume @p47 (forall @t85 (or @t84 @t113 @t87 @t115))) % 1.01/1.23 (assume @p48 (forall @t78 (or @t84 @t29 @t118 @t76))) % 1.01/1.23 (assume @p49 (forall @t90 (or @t84 @t114 @t118 @t87))) % 1.01/1.23 (assume @p50 (forall @t93 (or @t72 (= @t119 @t12)))) % 1.01/1.23 (assume @p51 (forall @t22 (or @t72 (= @t9 @t120)))) % 1.01/1.23 (assume @p52 (forall @t93 (or @t72 (= @t12 @t119)))) % 1.01/1.23 (assume @p53 (forall @t27 (or @t122 (= (tptp.c_HOL_Ouminus__class_Ouminus @t121 @t1) @t2)))) % 1.01/1.23 (assume @p54 (forall @t22 (or @t72 (= @t120 @t9)))) % 1.01/1.23 (assume @p55 (forall @t49 (or @t21 @t124 (not @t123)))) % 1.01/1.23 (assume @p56 (forall @t126 (or @t21 @t123 @t125))) % 1.01/1.23 (assume @p57 (forall @t49 (or @t21 @t128 (not @t127)))) % 1.01/1.23 (assume @p58 (forall @t126 (or @t21 @t127 (not @t128)))) % 1.01/1.23 (assume @p59 (forall @t62 (or @t61 @t60 @t129 @t57))) % 1.01/1.23 (assume @p60 (forall @t62 (or @t61 @t60 @t59 @t131))) % 1.01/1.23 (assume @p61 (forall @t68 (or @t67 @t66 @t132 @t64))) % 1.01/1.23 (assume @p62 (forall @t68 (or @t67 @t66 @t65 @t134))) % 1.01/1.23 (assume @p63 (forall @t7 (or @t67 @t133 @t64))) % 1.01/1.23 (assume @p64 (forall @t7 (or @t61 @t133 @t64))) % 1.01/1.23 (assume @p65 (forall @t7 (or @t67 @t63 @t130 @t134))) % 1.01/1.23 (assume @p66 (forall @t126 (or @t61 @t114 @t135 @t89))) % 1.01/1.23 (assume @p67 (forall @t126 (or @t61 @t114 @t89 @t135))) % 1.01/1.23 (assume @p68 (forall @t7 (or @t136 @t42 @t63 @t134))) % 1.01/1.23 (assume @p69 (forall @t7 (or @t136 @t42 @t134 @t63))) % 1.01/1.23 (assume @p70 (forall @t49 (or @t61 @t29 @t83 @t135))) % 1.01/1.23 (assume @p71 (forall @t49 (or @t61 @t29 @t135 @t83))) % 1.01/1.23 (assume @p72 (forall @t7 (or @t61 @t42 @t63 @t134))) % 1.01/1.23 (assume @p73 (forall @t7 (or @t61 @t63 @t42 @t134))) % 1.01/1.23 (assume @p74 (forall @t49 (or @t21 @t77 (not @t137)))) % 1.01/1.23 (assume @p75 (forall @t126 (or @t21 @t137 @t83))) % 1.01/1.23 (assume @p76 (forall @t138 (or @t67 @t131 @t64))) % 1.01/1.23 (assume @p77 (forall @t7 (or @t136 @t63 @t130))) % 1.01/1.23 (assume @p78 (forall @t27 (or @t136 (not @t141) @t140))) % 1.01/1.23 (assume @p79 (forall @t27 (or @t136 @t139 @t141))) % 1.01/1.23 (assume @p80 (forall @t7 (or @t136 @t64 @t131))) % 1.01/1.23 (assume @p81 (forall @t138 (or @t136 @t130 @t63))) % 1.01/1.23 (assume @p82 (forall @t138 (or @t136 @t56 @t133))) % 1.01/1.23 (assume @p83 (forall @t7 (or @t136 @t134 @t57))) % 1.01/1.23 (assume @p84 (forall @t49 (or @t21 @t143 (not @t142)))) % 1.01/1.23 (assume @p85 (forall @t126 (or @t21 @t142 @t144))) % 1.01/1.23 (assume @p86 (forall @t49 (or @t21 @t146 (not @t145)))) % 1.01/1.23 (assume @p87 (forall @t126 (or @t21 @t145 @t147))) % 1.01/1.23 (assume @p88 (forall @t90 (or @t152 @t151 @t150 @t148 @t23))) % 1.01/1.23 (assume @p89 (forall @t49 (or @t104 @t155 @t154 @t23))) % 1.01/1.23 (assume @p90 (forall @t49 (or @t104 @t155 @t33 @t157))) % 1.01/1.23 (assume @p91 (forall @t49 (or @t159 @t146 (not @t158)))) % 1.01/1.23 (assume @p92 (forall @t49 (or @t159 @t158 @t147))) % 1.01/1.23 (assume @p93 (forall @t41 (or @t84 (tptp.c_lessequals @t161 @t17 @t1)))) % 1.01/1.23 (assume @p94 (forall @t49 (or @t104 @t103 @t101 @t163))) % 1.01/1.23 (assume @p95 (forall @t49 (or @t104 @t103 @t165 @t100))) % 1.01/1.23 (assume @p96 (forall @t7 (or @t84 (tptp.c_lessequals @t17 @t111 @t1)))) % 1.01/1.23 (assume @p97 (forall @t90 (or @t152 @t151 @t150 @t166 @t157))) % 1.01/1.23 (assume @p98 (forall @t138 (or @t84 @t109 @t167))) % 1.01/1.23 (assume @p99 (forall @t7 (or @t84 @t28 @t167))) % 1.01/1.23 (assume @p100 (forall @t49 (or @t97 (= @t168 (tptp.c_HOL_Oplus__class_Oplus @t18 @t95 @t1))))) % 1.01/1.23 (assume @p101 (forall @t49 (or @t72 (= @t168 (tptp.c_HOL_Oplus__class_Oplus @t95 @t18 @t1))))) % 1.01/1.23 (assume @p102 (forall @t117 (or @t171 @t170 @t30))) % 1.01/1.23 (assume @p103 (forall @t117 (or @t152 @t170 @t30))) % 1.01/1.23 (assume @p104 (forall @t78 (or @t152 @t29 (not @t170)))) % 1.01/1.23 (assume @p105 (forall @t85 (or @t171 @t174 @t30))) % 1.01/1.23 (assume @p106 (forall @t85 (or @t152 @t174 @t30))) % 1.01/1.23 (assume @p107 (forall @t78 (or @t152 @t29 (not @t174)))) % 1.01/1.23 (assume @p108 (forall @t49 (or @t72 (= (tptp.c_HOL_Oplus__class_Oplus @t18 @t102 @t1) @t12)))) % 1.01/1.23 (assume @p109 (forall (@list @t1 @t58 @t3) (or @t97 (= (tptp.c_HOL_Oplus__class_Oplus @t176 @t175 @t1) @t3)))) % 1.01/1.23 (assume @p110 (forall @t39 (or @t171 @t178 @t31 @t30))) % 1.01/1.23 (assume @p111 (forall @t181 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t48 @t2 @t1) @t180)))) % 1.01/1.23 (assume @p112 (forall @t49 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t95 @t1) @t47)))) % 1.01/1.23 (assume @p113 (forall @t181 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t121 @t1) @t180)))) % 1.01/1.23 (assume @p114 (forall @t27 (or @t106 (not (tptp.c_HOL_Oord__class_Oless @t24 @t182 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p115 (forall (@list @t2 @t9) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t48 tptp.tc_RealDef_Oreal) @t24)) (= @t2 @t9)))) % 1.01/1.23 (assume @p116 (forall @t78 (or @t183 @t29 @t34 @t118))) % 1.01/1.23 (assume @p117 (forall @t78 (or @t183 @t29 @t34 @t184))) % 1.01/1.23 (assume @p118 (forall @t78 (or @t38 @t29 @t34 @t118))) % 1.01/1.23 (assume @p119 (forall @t78 (or @t38 @t29 @t34 @t184))) % 1.01/1.23 (assume @p120 (forall @t49 (or @t188 (not (= @t187 @t186)) @t185 @t135))) % 1.01/1.23 (assume @p121 (forall @t192 (or (= @t191 @t190) (not @t189)))) % 1.01/1.23 (assume @p122 (forall @t22 (or @t136 @t194 @t193 @t100))) % 1.01/1.23 (assume @p123 (forall @t22 (or @t195 @t193 @t100))) % 1.01/1.23 (assume @p124 (forall @t22 (or @t108 @t193 @t100))) % 1.01/1.23 (assume @p125 (forall @t49 (or @t199 @t198 @t197 @t196))) % 1.01/1.23 (assume @p126 (forall @t49 (or @t199 @t198 @t196 @t197))) % 1.01/1.23 (assume @p127 (forall @t49 (or @t200 @t198 @t196 @t197))) % 1.01/1.23 (assume @p128 (forall @t22 (or @t15 @t202 @t100))) % 1.01/1.23 (assume @p129 (forall @t22 (or @t15 @t99 @t203))) % 1.01/1.23 (assume @p130 (forall @t22 (or @t159 @t99 @t203))) % 1.01/1.23 (assume @p131 (forall @t22 (or @t159 @t202 @t100))) % 1.01/1.23 (assume @p132 (forall @t49 (or @t84 @t204 @t101 @t100))) % 1.01/1.23 (assume @p133 (forall @t49 (or @t38 @t204 @t33 @t23))) % 1.01/1.23 (assume @p134 (forall @t126 (or @t38 @t32 @t23 (not @t204)))) % 1.01/1.23 (assume @p135 (forall @t126 (or @t38 @t32 @t23 (not (tptp.c_HOL_Oord__class_Oless @t17 @t54 @t1))))) % 1.01/1.23 (assume @p136 (forall @t49 (or @t15 @t124 @t206))) % 1.01/1.23 (assume @p137 (forall @t7 (or @t84 (not (tptp.c_HOL_Oord__class_Oless @t111 @t17 @t1))))) % 1.01/1.23 (assume @p138 (forall @t27 (or @t106 (= @t182 @t24)))) % 1.01/1.23 (assume @p139 (forall @t49 (or @t21 @t29 (not @t207)))) % 1.01/1.23 (assume @p140 (forall @t126 (or @t21 @t207 @t30))) % 1.01/1.23 (assume @p141 (forall @t41 (or @t26 @t45 @t208))) % 1.01/1.23 (assume @p142 (forall @t41 (or @t45 @t208))) % 1.01/1.23 (assume @p143 (forall @t27 (or @t106 (tptp.c_lessequals @t182 @t24 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p144 (forall @t22 (or @t72 (not (= @t18 @t17)) @t197))) % 1.01/1.23 (assume @p145 (forall @t217 (or @t6 (= @t216 (tptp.c_HOL_Otimes__class_Otimes @t213 (tptp.c_HOL_Otimes__class_Otimes @t210 @t209 @t1) @t1))))) % 1.01/1.23 (assume @p146 (forall @t217 (or @t6 (= @t216 (tptp.c_HOL_Otimes__class_Otimes @t212 (tptp.c_HOL_Otimes__class_Otimes @t210 @t214 @t1) @t1))))) % 1.01/1.23 (assume @p147 (forall @t217 (or @t6 (= @t216 (tptp.c_HOL_Otimes__class_Otimes @t211 (tptp.c_HOL_Otimes__class_Otimes @t215 @t209 @t1) @t1))))) % 1.01/1.23 (assume @p148 (forall @t41 (or @t26 (not (tptp.c_HOL_Oord__class_Oless @t24 @t40 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p149 (forall @t49 (or @t72 (not (= @t18 @t95)) @t135))) % 1.01/1.23 (assume @p150 (forall @t7 (or @t122 (not (= @t121 @t218)) @t42))) % 1.01/1.23 (assume @p151 (forall @t138 (or @t136 @t56 @t63 @t42))) % 1.01/1.23 (assume @p152 (forall @t138 (or @t136 @t56 @t42 @t63))) % 1.01/1.23 (assume @p153 (forall @t7 (or @t136 @t42 @t63 @t56))) % 1.01/1.23 (assume @p154 (forall @t7 (or @t136 @t42 @t56 @t63))) % 1.01/1.23 (assume @p155 (forall @t138 (or @t15 @t56 @t63 @t42))) % 1.01/1.23 (assume @p156 (forall @t7 (or @t106 (not (tptp.c_HOL_Oord__class_Oless @t105 @t24 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p157 (forall @t49 (or @t221 (= @t220 @t219)))) % 1.01/1.23 (assume @p158 (forall @t49 (or @t221 (= @t220 @t222)))) % 1.01/1.23 (assume @p159 (forall @t7 (or @t223 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t5 @t1) @t5)))) % 1.01/1.23 (assume @p160 (forall @t22 (or @t21 @t156 (not @t224)))) % 1.01/1.23 (assume @p161 (forall @t22 (or @t21 @t224 @t157))) % 1.01/1.23 (assume @p162 (forall @t27 (or @t26 (tptp.c_HOL_Oord__class_Oless @t24 @t25 tptp.tc_RealDef_Oreal) @t28))) % 1.01/1.23 (assume @p163 (forall @t49 (or @t15 @t205 @t125 @t30))) % 1.01/1.23 (assume @p164 (forall @t7 (or @t106 (tptp.c_HOL_Oord__class_Oless @t24 @t105 tptp.tc_RealDef_Oreal) @t42))) % 1.01/1.23 (assume @p165 (forall @t49 (or @t84 @t162 @t156 @t226))) % 1.01/1.23 (assume @p166 (forall @t126 (or @t84 @t153 @t156 @t226))) % 1.01/1.23 (assume @p167 (forall @t49 (or @t84 @t162 @t164 @t226))) % 1.01/1.23 (assume @p168 (forall @t126 (or @t84 @t153 @t164 @t226))) % 1.01/1.23 (assume @p169 (forall @t49 (or @t38 @t227 @t33 @t100))) % 1.01/1.23 (assume @p170 (forall @t49 (or @t38 @t227 @t101 @t23))) % 1.01/1.23 (assume @p171 (forall @t126 (or @t38 (tptp.c_HOL_Oord__class_Oless @t54 @t17 @t1) @t101 @t23))) % 1.01/1.23 (assume @p172 (forall @t90 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t1)) @t150 @t166 @t23))) % 1.01/1.23 (assume @p173 (forall @t85 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t81 @t34 @t83))) % 1.01/1.23 (assume @p174 (forall @t85 (or @t228 @t81 @t34 @t83))) % 1.01/1.23 (assume @p175 (forall @t117 (or @t228 @t74 @t34 @t83))) % 1.01/1.23 (assume @p176 (forall @t85 (or @t230 @t81 @t229 @t89))) % 1.01/1.23 (assume @p177 (forall @t117 (or @t230 @t74 @t229 @t89))) % 1.01/1.23 (assume @p178 (forall (@list @t1 @t2 @t69 @t8 @t11) (or @t188 @t232 (not (= (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Otimes__class_Otimes @t69 @t8 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Otimes__class_Otimes @t69 @t11 @t1) @t1))) @t231 (= @t69 @t17)))) % 1.01/1.23 (assume @p179 (forall @t7 (or @t84 @t233 @t28))) % 1.01/1.23 (assume @p180 (forall @t7 (or @t84 @t233 @t109))) % 1.01/1.23 (assume @p181 (forall @t7 (or @t106 (tptp.c_lessequals @t24 @t105 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p182 (forall @t27 (or @t223 (= @t110 @t2)))) % 1.01/1.23 (assume @p183 (forall @t39 (or @t38 @t37 @t34 @t157 @t31 @t30))) % 1.01/1.23 (assume @p184 (forall @t27 (or @t45 (not (= @t44 @t17)) (= @t2 @t24)))) % 1.01/1.23 (assume @p185 (forall @t49 (or @t230 @t234 @t154 @t157))) % 1.01/1.23 (assume @p186 (forall @t49 (or @t230 @t234 @t165 @t163))) % 1.01/1.23 (assume @p187 (forall @t22 (or @t84 (tptp.c_lessequals @t17 @t187 @t1)))) % 1.01/1.23 (assume @p188 (forall @t49 (or @t84 @t234 @t154 @t157))) % 1.01/1.23 (assume @p189 (forall @t49 (or @t84 @t234 @t165 @t163))) % 1.01/1.23 (assume @p190 (forall @t49 (or @t235 @t234 @t154 @t157))) % 1.01/1.23 (assume @p191 (forall @t239 (or @t238 (not @t237)))) % 1.01/1.23 (assume @p192 (forall @t239 (or @t237 (not @t238)))) % 1.01/1.23 (assume @p193 (forall @t78 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t55 @t8 @t1) (tptp.c_HOL_Otimes__class_Otimes @t9 @t73 @t1))))) % 1.01/1.23 (assume @p194 (forall @t241 (or @t6 (= @t240 (tptp.c_HOL_Otimes__class_Otimes @t213 @t210 @t1))))) % 1.01/1.23 (assume @p195 (forall @t241 (or @t6 (= @t240 (tptp.c_HOL_Otimes__class_Otimes @t212 (tptp.c_HOL_Otimes__class_Otimes @t210 @t211 @t1) @t1))))) % 1.01/1.23 (assume @p196 (forall @t243 (or @t6 (= @t242 (tptp.c_HOL_Otimes__class_Otimes @t213 @t209 @t1))))) % 1.01/1.23 (assume @p197 (forall @t243 (or @t6 (= @t242 (tptp.c_HOL_Otimes__class_Otimes @t211 (tptp.c_HOL_Otimes__class_Otimes @t212 @t209 @t1) @t1))))) % 1.01/1.23 (assume @p198 (forall @t244 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t2 (tptp.c_HOL_Otimes__class_Otimes @t3 @t58 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t5 @t58 @t1))))) % 1.01/1.23 (assume @p199 (forall @t22 (or @t159 @t20 (not @t245)))) % 1.01/1.23 (assume @p200 (forall @t22 (or @t159 @t245 @t23))) % 1.01/1.23 (assume @p201 (forall @t49 (or @t84 @t162 @t156 @t246))) % 1.01/1.23 (assume @p202 (forall @t126 (or @t84 @t164 @t156 @t246))) % 1.01/1.23 (assume @p203 (forall @t49 (or @t84 @t162 @t153 @t246))) % 1.01/1.23 (assume @p204 (forall @t126 (or @t84 @t164 @t153 @t246))) % 1.01/1.23 (assume @p205 (forall @t22 (or @t247 (not (= @t18 @t9)) @t197))) % 1.01/1.23 (assume @p206 (forall @t41 (or @t84 (not (tptp.c_HOL_Oord__class_Oless @t17 @t161 @t1))))) % 1.01/1.23 (assume @p207 (forall @t49 (or @t248 (= @t219 @t220)))) % 1.01/1.23 (assume @p208 (forall @t7 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t121 @t3 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t1))))) % 1.01/1.23 (assume @p209 (forall @t49 (or @t248 (= @t222 @t220)))) % 1.01/1.23 (assume @p210 (forall (@list @t1 @t249 @t3 @t2 @t58) (or @t188 @t232 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t249 @t3 @t1) @t251 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t249 @t58 @t1) @t5 @t1))) @t250 (= @t249 @t2)))) % 1.01/1.23 (assume @p211 (forall @t39 (or @t188 @t232 (not (= (tptp.c_HOL_Oplus__class_Oplus @t36 @t35 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t9 @t11 @t1) @t73 @t1))) @t231 @t135))) % 1.01/1.23 (assume @p212 (forall (@list @t1 @t9 @t252 @t12) (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t9 @t252 @t1) (tptp.c_HOL_Otimes__class_Otimes @t12 @t252 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t102 @t252 @t1))))) % 1.01/1.23 (assume @p213 (forall @t78 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t253))) % 1.01/1.23 (assume @p214 (forall @t244 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t175 @t1) @t254)))) % 1.01/1.23 (assume @p215 (forall @t257 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oplus__class_Oplus @t9 @t255 @t1) @t12 @t1) (tptp.c_HOL_Oplus__class_Oplus @t55 @t256 @t1))))) % 1.01/1.23 (assume @p216 (forall @t262 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t261 @t258 @t1) (tptp.c_HOL_Oplus__class_Oplus @t260 @t259 @t1))))) % 1.01/1.23 (assume @p217 (forall @t266 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t265 @t1) (tptp.c_HOL_Oplus__class_Oplus @t55 @t264 @t1))))) % 1.01/1.23 (assume @p218 (forall @t269 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t261 @t1) (tptp.c_HOL_Oplus__class_Oplus @t268 @t267 @t1))))) % 1.01/1.23 (assume @p219 (forall @t78 (or @t6 @t253))) % 1.01/1.23 (assume @p220 (forall @t49 (or @t72 (= (tptp.c_HOL_Oplus__class_Oplus @t9 (tptp.c_HOL_Oplus__class_Oplus @t18 @t12 @t1) @t1) @t12)))) % 1.01/1.23 (assume @p221 (forall @t22 (or @t159 (not (= @t201 @t17)) @t197))) % 1.01/1.23 (assume @p222 (forall (@list @t1 @t2 @t9) (or @t188 @t232 (not (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t9 @t1))) @t197))) % 1.01/1.23 (assume @p223 (forall @t244 (or @t188 @t232 (= @t254 (tptp.c_HOL_Oplus__class_Oplus @t251 @t5 @t1))))) % 1.01/1.23 (assume @p224 (forall (@list @t1 @t2 @t8 @t11) (or @t188 @t232 (= (tptp.c_HOL_Oplus__class_Oplus @t270 @t271 @t1) (tptp.c_HOL_Oplus__class_Oplus @t271 @t270 @t1))))) % 1.01/1.23 (assume @p225 (forall @t41 (or @t159 @t272))) % 1.01/1.23 (assume @p226 (forall (@list @t1 @t9 @t273 @t12 @t8) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t275 (tptp.c_HOL_Oplus__class_Oplus @t274 @t8 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t102 @t273 @t1) @t8 @t1))))) % 1.01/1.23 (assume @p227 (forall @t277 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t261 @t1) (tptp.c_HOL_Oplus__class_Oplus @t179 @t276 @t1))))) % 1.01/1.23 (assume @p228 (forall @t266 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t265 @t1) (tptp.c_HOL_Oplus__class_Oplus @t46 @t278 @t1))))) % 1.01/1.23 (assume @p229 (forall @t244 (or @t97 (not (= @t279 @t3)) (= @t2 @t176)))) % 1.01/1.23 (assume @p230 (forall @t22 (or @t281 @t280))) % 1.01/1.23 (assume @p231 (forall @t22 (or @t281 @t282))) % 1.01/1.23 (assume @p232 (forall @t22 (or @t151 @t280))) % 1.01/1.23 (assume @p233 (forall @t27 (or @t188 @t232 (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t17 @t1))))) % 1.01/1.23 (assume @p234 (forall @t27 (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t2 @t1) @t2)))) % 1.01/1.23 (assume @p235 (forall @t22 (or @t151 @t282))) % 1.01/1.23 (assume @p236 (forall @t22 (or @t6 @t280))) % 1.01/1.23 (assume @p237 (forall @t22 (or @t6 @t282))) % 1.01/1.23 (assume @p238 (forall @t289 (or @t230 @t288 (not @t285)))) % 1.01/1.23 (assume @p239 (forall @t291 (or @t230 @t285 @t290))) % 1.01/1.23 (assume @p240 (forall @t289 (or @t230 @t288 (not @t294)))) % 1.01/1.23 (assume @p241 (forall @t295 (or @t230 @t294 @t290))) % 1.01/1.23 (assume @p242 (forall @t138 (or @t15 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Oabs__class_Oabs @t3 @t1) @t2 @t1) (tptp.c_HOL_Oabs__class_Oabs @t4 @t1)) @t296))) % 1.01/1.23 (assume @p243 (forall @t49 (or @t299 @t298 @t165 @t163))) % 1.01/1.23 (assume @p244 (forall @t49 (or @t299 @t298 @t154 @t163))) % 1.01/1.23 (assume @p245 (forall @t49 (or @t299 @t298 @t165 @t157))) % 1.01/1.23 (assume @p246 (forall @t49 (or @t299 @t298 @t154 @t157))) % 1.01/1.23 (assume @p247 (forall @t22 (or @t108 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t10 @t1) @t17 @t1)))) % 1.01/1.23 (assume @p248 (forall @t22 (or @t108 @t193 @t163))) % 1.01/1.23 (assume @p249 (forall @t49 (or @t97 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t95 @t1) @t300)))) % 1.01/1.23 (assume @p250 (forall @t307 (or @t21 @t306 @t303 @t64))) % 1.01/1.23 (assume @p251 (forall @t307 (or @t21 @t306 @t63 (not @t303)))) % 1.01/1.23 (assume @p252 (forall @t277 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t305 @t1) (tptp.c_HOL_Ominus__class_Ominus @t179 @t276 @t1))))) % 1.01/1.23 (assume @p253 (forall @t266 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t308 @t1) (tptp.c_HOL_Ominus__class_Ominus @t46 @t278 @t1))))) % 1.01/1.23 (assume @p254 (forall @t27 (or @t97 @t310))) % 1.01/1.23 (assume @p255 (forall @t27 (or @t72 @t310))) % 1.01/1.23 (assume @p256 (forall @t22 (or @t72 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t17 @t1) @t9)))) % 1.01/1.23 (assume @p257 (forall @t22 (or @t72 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t9 @t1) @t17)))) % 1.01/1.23 (assume @p258 (forall @t27 (or @t188 @t232 @t310))) % 1.01/1.23 (assume @p259 (forall @t49 (or @t97 @t311 @t135))) % 1.01/1.23 (assume @p260 (forall @t49 (or @t72 @t311 @t135))) % 1.01/1.23 (assume @p261 (forall @t7 (or @t188 @t232 (not (= @t305 @t17)) @t42))) % 1.01/1.23 (assume @p262 (forall @t269 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t305 @t1) (tptp.c_HOL_Ominus__class_Ominus @t268 @t267 @t1))))) % 1.01/1.23 (assume @p263 (forall @t266 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t308 @t1) (tptp.c_HOL_Ominus__class_Ominus @t55 @t264 @t1))))) % 1.01/1.23 (assume @p264 (forall @t257 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t9 @t255 @t1) @t12 @t1) (tptp.c_HOL_Ominus__class_Ominus @t55 @t256 @t1))))) % 1.01/1.23 (assume @p265 (forall @t262 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t305 @t258 @t1) (tptp.c_HOL_Ominus__class_Ominus @t260 @t259 @t1))))) % 1.01/1.23 (assume @p266 (forall @t49 (or @t26 (= @t312 (tptp.c_RealVector_Onorm__class_Onorm @t283 @t1))))) % 1.01/1.23 (assume @p267 (forall @t49 (or @t97 (= @t300 @t283)))) % 1.01/1.23 (assume @p268 (forall @t239 (or @t314 (not @t313)))) % 1.01/1.23 (assume @p269 (forall @t239 (or @t313 @t42 @t315))) % 1.01/1.23 (assume @p270 (forall (@list @t1 @t2 @t3 @t69 @t316) (or @t26 (tptp.c_HOL_Oord__class_Oless @t318 (tptp.c_HOL_Oplus__class_Oplus @t69 @t316 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t317 @t316 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t25 @t69 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p271 (forall @t321 (or @t320 (not @t319)))) % 1.01/1.23 (assume @p272 (forall @t239 (or @t319 (not @t320)))) % 1.01/1.23 (assume @p273 (forall @t239 (or @t323 (not @t322)))) % 1.01/1.23 (assume @p274 (forall @t239 (or @t322 (not @t323)))) % 1.01/1.23 (assume @p275 (forall @t22 (or @t108 (not (= @t10 @t17)) @t197))) % 1.01/1.23 (assume @p276 (forall @t22 (or @t15 (= (tptp.c_HOL_Otimes__class_Otimes @t10 @t10 @t1) @t187)))) % 1.01/1.23 (assume @p277 (forall @t49 (or @t15 @t29 @t206))) % 1.01/1.23 (assume @p278 (forall @t22 (or @t108 (= (tptp.c_HOL_Oabs__class_Oabs @t18 @t1) @t10)))) % 1.01/1.23 (assume @p279 (forall @t49 (or @t15 @t298))) % 1.01/1.23 (assume @p280 (forall @t41 (or @t108 (= @t324 @t17)))) % 1.01/1.23 (assume @p281 (forall @t22 (or @t26 (= (tptp.c_HOL_Oabs__class_Oabs @t325 tptp.tc_RealDef_Oreal) @t325)))) % 1.01/1.23 (assume @p282 (forall @t49 (or @t104 @t158 @t165 @t163))) % 1.01/1.23 (assume @p283 (forall @t22 (or @t159 @t326 @t163))) % 1.01/1.23 (assume @p284 (forall @t22 (or @t159 @t162 (not @t326)))) % 1.01/1.23 (assume @p285 (forall @t22 (or @t159 @t327 @t157))) % 1.01/1.23 (assume @p286 (forall @t22 (or @t159 @t156 (not @t327)))) % 1.01/1.23 (assume @p287 (forall @t49 (or @t104 (tptp.c_lessequals @t17 @t102 @t1) @t154 @t157))) % 1.01/1.23 (assume @p288 (forall @t7 (or @t104 @t329 @t328 @t296 @t109))) % 1.01/1.23 (assume @p289 (forall @t7 (or @t104 @t329 @t328 @t296 @t28))) % 1.01/1.23 (assume @p290 (forall @t90 (or @t152 @t151 @t330 @t89 @t34))) % 1.01/1.23 (assume @p291 (forall @t90 (or @t152 @t151 @t330 @t148 @t157))) % 1.01/1.23 (assume @p292 (forall @t41 (or @t104 @t331 @t331 @t272))) % 1.01/1.23 (assume @p293 (forall @t39 (or @t171 @t178 @t332 @t30))) % 1.01/1.23 (assume @p294 (forall @t39 (or @t171 @t178 @t31 @t83))) % 1.01/1.23 (assume @p295 (forall @t49 (or @t21 @t77 (not @t333)))) % 1.01/1.23 (assume @p296 (forall @t49 (or @t21 @t333 @t83))) % 1.01/1.23 (assume @p297 (forall @t289 (or @t221 @t334 (= @t8 @t284)))) % 1.01/1.23 (assume @p298 (forall @t289 (or @t221 @t334 (= @t293 @t11)))) % 1.01/1.23 (assume @p299 (forall (@list @t1 @t9 @t273 @t8 @t12) (or @t221 (= @t287 (tptp.c_HOL_Oplus__class_Oplus @t274 @t293 @t1))))) % 1.01/1.23 (assume @p300 (forall @t49 (or @t97 @t335))) % 1.01/1.23 (assume @p301 (forall @t49 (or @t72 @t335))) % 1.01/1.23 (assume @p302 (forall @t7 (or @t232 @t336))) % 1.01/1.23 (assume @p303 (forall @t7 (or @t97 @t336))) % 1.01/1.23 (assume @p304 (forall (@list @t1 @t9 @t273 @t12 @t11) (or @t221 (= (tptp.c_HOL_Oplus__class_Oplus @t275 @t284 @t1) @t286)))) % 1.01/1.23 (assume @p305 (forall @t339 (or @t248 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t55 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t338 @t337 @t1) (tptp.c_HOL_Otimes__class_Otimes @t338 @t12 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t9 @t337 @t1) @t1))))) % 1.01/1.23 (assume @p306 (forall @t49 (or @t72 (= (tptp.c_HOL_Ominus__class_Ominus @t9 @t95 @t1) @t102)))) % 1.01/1.23 (assume @p307 (forall @t22 (or @t108 (tptp.c_lessequals @t17 @t10 @t1)))) % 1.01/1.23 (assume @p308 (forall @t22 (or @t108 (tptp.c_lessequals @t18 @t10 @t1)))) % 1.01/1.23 (assume @p309 (forall @t41 (or @t108 (tptp.c_lessequals @t324 @t17 @t1)))) % 1.01/1.23 (assume @p310 (forall (@list @t1 @t50 @t2) (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t121 @t1) (tptp.c_HOL_Ouminus__class_Ouminus @t268 @t1))))) % 1.01/1.23 (assume @p311 (forall @t93 (or @t188 (= (tptp.c_HOL_Otimes__class_Otimes @t95 @t95 @t1) @t186)))) % 1.01/1.23 (assume @p312 (forall @t49 (or @t221 (= (tptp.c_HOL_Otimes__class_Otimes @t18 @t95 @t1) @t55)))) % 1.01/1.23 (assume @p313 (forall @t39 (or @t341 @t340 @t34 @t154 @t332 @t83))) % 1.01/1.23 (assume @p314 (forall @t39 (or @t341 @t340 @t34 @t157 @t332 @t83))) % 1.01/1.23 (assume @p315 (forall @t27 (or @t26 (tptp.c_lessequals @t24 @t25 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p316 (forall @t27 (or @t45 @t342))) % 1.01/1.23 (assume @p317 (forall @t27 (or @t26 @t45 @t342))) % 1.01/1.23 (assume @p318 (forall @t85 (or @t84 @t86 @t75 @t118))) % 1.01/1.23 (assume @p319 (forall @t90 (or @t84 @t114 @t29 @t118))) % 1.01/1.23 (assume @p320 (forall @t85 (or @t84 @t86 @t75 @t184))) % 1.01/1.23 (assume @p321 (forall @t90 (or @t84 @t114 @t29 @t184))) % 1.01/1.23 (assume @p322 (forall @t22 (or @t72 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t9 @t1) @t18)))) % 1.01/1.23 (assume @p323 (forall (@list @t343 @t344) (or @t346 (not @t345)))) % 1.01/1.23 (assume @p324 (forall (@list @t344 @t343) (or @t345 (not @t346)))) % 1.01/1.23 (assume @p325 (forall @t22 (or @t84 (not (tptp.c_HOL_Oord__class_Oless @t187 @t17 @t1))))) % 1.01/1.23 (assume @p326 (forall @t49 (or @t84 @t225 @t165 @t157))) % 1.01/1.23 (assume @p327 (forall @t49 (or @t84 @t225 @t154 @t163))) % 1.01/1.23 (assume @p328 (forall @t49 (or @t235 @t225 @t165 @t157))) % 1.01/1.23 (assume @p329 (forall @t49 (or @t235 @t225 @t154 @t163))) % 1.01/1.23 (assume @p330 (forall @t126 (or @t235 (tptp.c_lessequals @t54 @t17 @t1) @t165 @t157))) % 1.01/1.23 (assume @p331 (forall @t7 (or @t106 (= @t105 (tptp.c_RealVector_Odist__class_Odist @t3 @t2 @t1))))) % 1.01/1.23 (assume @p332 (forall @t22 (or @t21 @t162 (not @t347)))) % 1.01/1.23 (assume @p333 (forall @t22 (or @t21 @t347 @t163))) % 1.01/1.23 (assume @p334 (forall @t181 (or @t53 (not (= @t179 @t17)) @t28 @t348))) % 1.01/1.23 (assume @p335 (forall (@list @t1 @t69 @t9 @t12) (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t9 @t1) @t12 @t1) @t349)))) % 1.01/1.23 (assume @p336 (forall (@list @t1 @t69 @t2 @t3) (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t71 @t3 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t5 @t1))))) % 1.01/1.23 (assume @p337 (forall @t351 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t9 @t350 @t1) @t349)))) % 1.01/1.23 (assume @p338 (forall (@list @t1 @t50 @t69 @t2) (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t71 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t268 @t1))))) % 1.01/1.23 (assume @p339 (forall @t277 (or @t353 (= (tptp.c_HOL_Otimes__class_Otimes @t179 @t3 @t1) @t352)))) % 1.01/1.23 (assume @p340 (forall (@list @t1 @t2 @t9 @t3) (or @t353 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t276 @t1) @t352)))) % 1.01/1.23 (assume @p341 (forall @t22 (or @t159 @t162 @t355))) % 1.01/1.23 (assume @p342 (forall @t22 (or @t159 @t354 @t163))) % 1.01/1.23 (assume @p343 (forall @t22 (or @t159 @t156 @t357))) % 1.01/1.23 (assume @p344 (forall @t22 (or @t159 @t356 @t157))) % 1.01/1.23 (assume @p345 (forall @t22 (or @t247 @t162 @t355))) % 1.01/1.23 (assume @p346 (forall @t22 (or @t247 @t354 @t163))) % 1.01/1.23 (assume @p347 (forall @t22 (or @t247 @t156 @t357))) % 1.01/1.23 (assume @p348 (forall @t22 (or @t247 @t356 @t157))) % 1.01/1.23 (assume @p349 (forall (@list @t1 @t69) (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t1)) (= (tptp.c_RealVector_Onorm__class_Onorm @t70 @t1) @t191)))) % 1.01/1.23 (assume @p350 (forall @t321 (or @t359 (not @t358)))) % 1.01/1.23 (assume @p351 (forall @t239 (or @t358 (not @t359)))) % 1.01/1.23 (assume @p352 (forall @t22 (or @t108 (tptp.c_HOL_Oord__class_Oless @t17 @t10 @t1) @t197))) % 1.01/1.23 (assume @p353 (forall @t27 (or @t26 (= (tptp.c_RealVector_Onorm__class_Onorm @t121 @t1) @t25)))) % 1.01/1.23 (assume @p354 (forall @t351 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t350 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t69 @t46 @t1))))) % 1.01/1.23 (assume @p355 (forall @t361 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t360 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t12 @t179 @t1))))) % 1.01/1.23 (assume @p356 (forall (@list @t1 @t362 @t69 @t2) (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t362 @t71 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t69 (tptp.c_RealVector_OscaleR__class_OscaleR @t362 @t2 @t1) @t1))))) % 1.01/1.23 (assume @p357 (forall @t41 (or @t26 (= @t40 @t24)))) % 1.01/1.23 (assume @p358 (forall @t239 (or (not (= @t236 @t24)) (= @t3 @t52)))) % 1.01/1.23 (assume @p359 (forall @t49 (or @t72 @t363 (= @t18 @t12)))) % 1.01/1.23 (assume @p360 (forall @t49 (or @t72 @t363 @t185))) % 1.01/1.23 (assume @p361 (forall @t22 (or @t6 @t364))) % 1.01/1.23 (assume @p362 (forall @t22 (or @t6 @t365))) % 1.01/1.23 (assume @p363 (forall (@list @t1 @t3) (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t3 @t1) @t17)))) % 1.01/1.23 (assume @p364 (forall @t93 (or @t248 @t366))) % 1.01/1.23 (assume @p365 (forall @t22 (or @t248 @t365))) % 1.01/1.23 (assume @p366 (forall @t27 (or @t248 (= (tptp.c_HOL_Otimes__class_Otimes @t2 @t17 @t1) @t17)))) % 1.01/1.23 (assume @p367 (forall @t27 (or @t6 (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t2 @t1) @t17)))) % 1.01/1.23 (assume @p368 (forall @t22 (or @t367 @t364))) % 1.01/1.23 (assume @p369 (forall @t22 (or @t367 @t365))) % 1.01/1.23 (assume @p370 (forall @t93 (or @t200 @t366))) % 1.01/1.23 (assume @p371 (forall @t22 (or @t200 @t365))) % 1.01/1.23 (assume @p372 (forall @t27 (or @t136 @t140))) % 1.01/1.23 (assume @p373 (forall @t27 (or @t61 @t140))) % 1.01/1.23 (assume @p374 (forall @t98 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p375 (forall @t27 (or @t67 @t140))) % 1.01/1.23 (assume @p376 (forall @t49 (or @t104 @t155 @t33 @t23))) % 1.01/1.23 (assume @p377 (forall @t49 (or @t21 @t368 @t30))) % 1.01/1.23 (assume @p378 (forall @t49 (or @t21 @t29 (not @t368)))) % 1.01/1.23 (assume @p379 (forall @t22 (or @t108 (not (tptp.c_HOL_Oord__class_Oless @t10 @t17 @t1))))) % 1.01/1.23 (assume @p380 (forall @t41 (or @t72 (= @t17 @t369)))) % 1.01/1.23 (assume @p381 (forall @t39 (or @t38 @t37 @t34 @t23 @t31 @t83))) % 1.01/1.23 (assume @p382 (forall @t39 (or @t38 @t37 @t76 @t157 @t332 @t30))) % 1.01/1.23 (assume @p383 (forall @t49 (or @t221 (= @t219 @t222)))) % 1.01/1.23 (assume @p384 (forall @t41 (or @t72 @t370))) % 1.01/1.23 (assume @p385 (forall @t41 (or @t247 @t370))) % 1.01/1.23 (assume @p386 (forall @t192 (or (= @t191 @t69) @t189))) % 1.01/1.23 (assume @p387 (forall @t22 (or @t136 @t194 @t107 @t99))) % 1.01/1.23 (assume @p388 (forall @t22 (or @t195 @t107 @t99))) % 1.01/1.23 (assume @p389 (forall @t41 (or @t108 (not (tptp.c_HOL_Oord__class_Oless @t17 @t324 @t1))))) % 1.01/1.23 (assume @p390 (forall @t7 (or @t53 (= @t94 (tptp.c_RealVector_OscaleR__class_OscaleR @t24 @t3 @t1))))) % 1.01/1.23 (assume @p391 (forall @t49 (or @t53 (= @t91 (tptp.c_RealVector_OscaleR__class_OscaleR @t12 @t17 @t1))))) % 1.01/1.23 (assume @p392 (forall @t277 (or @t53 (not (= @t179 @t276)) @t348 @t42))) % 1.01/1.23 (assume @p393 (forall (@list @t1 @t9 @t2 @t12) (or @t53 (not (= @t179 @t360)) @t28 @t135))) % 1.01/1.23 (assume @p394 (forall @t41 (or @t84 (= @t161 @t17)))) % 1.01/1.23 (assume @p395 (forall @t90 (or @t84 @t114 @t75 @t118))) % 1.01/1.23 (assume @p396 (forall @t85 (or @t84 @t86 @t29 @t118))) % 1.01/1.23 (assume @p397 (forall @t90 (or @t84 @t114 @t75 @t184))) % 1.01/1.23 (assume @p398 (forall @t85 (or @t84 @t86 @t29 @t184))) % 1.01/1.23 (assume @p399 (forall @t22 (or @t21 @t99 (not @t371)))) % 1.01/1.23 (assume @p400 (forall @t22 (or @t21 @t371 @t100))) % 1.01/1.23 (assume @p401 @t372) % 1.01/1.23 (assume @p402 (forall @t22 (or @t15 @t99 (not @t373)))) % 1.01/1.23 (assume @p403 (forall @t22 (or @t15 @t373 @t100))) % 1.01/1.23 (assume @p404 (forall @t126 (or @t67 @t115 @t30))) % 1.01/1.23 (assume @p405 (forall @t138 (or @t67 @t57 @t64))) % 1.01/1.23 (assume @p406 (forall @t7 (or @t136 @t64 @t57))) % 1.01/1.23 (assume @p407 (forall @t49 (or @t61 @t30 @t115))) % 1.01/1.23 (assume @p408 (forall @t49 (or @t108 @t374 @t144 @t83))) % 1.01/1.23 (assume @p409 (forall @t49 (or @t108 @t143 @t375))) % 1.01/1.23 (assume @p410 (forall @t22 (or @t108 @t107 @t157))) % 1.01/1.23 (assume @p411 (forall @t22 (or @t108 @t197 (not (tptp.c_lessequals @t10 @t17 @t1))))) % 1.01/1.23 (assume @p412 (forall @t49 (or (not (tptp.class_Ring__and__Field_Olordered__ring @t1)) (tptp.c_lessequals @t297 @t14 @t1)))) % 1.01/1.23 (assume @p413 (forall @t7 (or @t26 @t45 @t376))) % 1.01/1.23 (assume @p414 (forall @t7 (or @t45 @t376))) % 1.01/1.23 (assume @p415 (forall @t361 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t9 @t12 tptp.tc_RealDef_Oreal) @t2 @t1) (tptp.c_HOL_Oplus__class_Oplus @t179 @t360 @t1))))) % 1.01/1.23 (assume @p416 (forall @t378 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t236 @t50 @t1) (tptp.c_HOL_Oplus__class_Oplus @t51 @t377 @t1))))) % 1.01/1.23 (assume @p417 (forall @t257 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Oplus__class_Oplus @t9 @t255 tptp.tc_RealDef_Oreal) @t12 @t1) (tptp.c_HOL_Oplus__class_Oplus @t46 @t379 @t1))))) % 1.01/1.23 (assume @p418 (forall (@list @t1 @t9 @t69 @t2) (or @t15 @t382 @t381))) % 1.01/1.23 (assume @p419 (forall (@list @t1 @t2 @t3 @t9) (or @t106 (tptp.c_lessequals @t105 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Odist__class_Odist @t9 @t2 @t1) (tptp.c_RealVector_Odist__class_Odist @t9 @t3 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p420 (forall @t244 (or @t106 (tptp.c_lessequals @t105 (tptp.c_HOL_Oplus__class_Oplus @t384 @t383 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p421 (forall @t68 (or @t106 (tptp.c_lessequals @t384 (tptp.c_HOL_Oplus__class_Oplus @t105 @t383 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p422 (forall @t7 (or @t26 @t45 @t386))) % 1.01/1.23 (assume @p423 (forall @t7 (or @t45 @t386))) % 1.01/1.23 (assume @p424 (forall @t361 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t9 @t12 tptp.tc_RealDef_Oreal) @t2 @t1) (tptp.c_HOL_Ominus__class_Ominus @t179 @t360 @t1))))) % 1.01/1.23 (assume @p425 (forall @t378 (or @t53 (= (tptp.c_RealVector_OscaleR__class_OscaleR @t385 @t50 @t1) (tptp.c_HOL_Ominus__class_Ominus @t51 @t377 @t1))))) % 1.01/1.23 (assume @p426 (forall @t257 (or @t26 (= (tptp.c_RealVector_OscaleR__class_OscaleR (tptp.c_HOL_Ominus__class_Ominus @t9 @t255 tptp.tc_RealDef_Oreal) @t12 @t1) (tptp.c_HOL_Ominus__class_Ominus @t46 @t379 @t1))))) % 1.01/1.23 (assume @p427 (forall @t239 (or @t387 @t315))) % 1.01/1.23 (assume @p428 (forall @t239 (or @t314 (not @t387)))) % 1.01/1.23 (assume @p429 (forall @t391 (or @t390 (not @t389) (not @t388)))) % 1.01/1.23 (assume @p430 (forall (@list @t69 @t2) (or @t388 @t392))) % 1.01/1.23 (assume @p431 (forall (@list @t69 @t316) (= (tptp.c_HOL_Ominus__class_Ominus @t69 @t316 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t69 (tptp.c_HOL_Ouminus__class_Ouminus @t316 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p432 (forall @t239 (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Ouminus__class_Ouminus @t3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t3 @t52 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p433 @t393) % 1.01/1.23 (assume @p434 (forall @t289 (or @t230 @t395 (not @t394)))) % 1.01/1.23 (assume @p435 (forall @t291 (or @t230 @t394 @t396))) % 1.01/1.23 (assume @p436 (forall @t289 (or @t230 @t395 (not @t397)))) % 1.01/1.23 (assume @p437 (forall @t295 (or @t230 @t397 @t396))) % 1.01/1.23 (assume @p438 (forall @t399 (or @t15 @t398 @t381))) % 1.01/1.23 (assume @p439 (forall @t399 (or @t15 @t380 (not @t398) (not @t382)))) % 1.01/1.23 (assume @p440 (forall @t7 (or @t26 (tptp.c_lessequals @t318 (tptp.c_HOL_Oplus__class_Oplus @t25 @t317 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p441 (forall @t49 (or @t26 (tptp.c_lessequals @t312 (tptp.c_HOL_Oplus__class_Oplus @t325 @t400 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p442 (forall @t339 (or @t26 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_RealVector_OscaleR__class_OscaleR @t2 @t3 @t1) @t46 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_OscaleR__class_OscaleR @t401 @t337 @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t401 @t12 @t1) @t1) (tptp.c_RealVector_OscaleR__class_OscaleR @t9 @t337 @t1) @t1))))) % 1.01/1.23 (assume @p443 (forall @t49 (or @t26 (tptp.c_lessequals @t402 (tptp.c_RealVector_Onorm__class_Onorm @t102 @t1) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p444 (forall @t49 (or @t26 (tptp.c_lessequals @t402 @t312 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p445 (forall (@list @t2 @t3 @t404 @t252) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t236 (tptp.c_HOL_Oplus__class_Oplus @t405 @t403 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 @t2 @t405 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t3 @t403 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 1.01/1.23 (assume @p446 (forall @t16 (or @t26 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t409 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm @t407 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t406 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p447 (forall @t49 (or @t26 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t402 tptp.tc_RealDef_Oreal) @t312 tptp.tc_RealDef_Oreal)))) % 1.01/1.23 (assume @p448 (forall (@list @t2 @t252 @t273) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t2 @t252 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t273 tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Oplus__class_Oplus @t252 @t273 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t252 @t2 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p449 (forall (@list @t249 @t58) (or @t411 @t410))) % 1.01/1.23 (assume @p450 (forall @t138 (or @t136 @t130 @t133))) % 1.01/1.23 (assume @p451 (forall @t62 (or @t61 (tptp.c_lessequals @t58 @t2 @t1) @t129 @t131))) % 1.01/1.23 (assume @p452 (forall @t68 (or @t67 (tptp.c_lessequals @t2 @t58 @t1) @t132 @t134))) % 1.01/1.23 (assume @p453 (forall (@list @t1 @t9 @t12 @t11 @t8) (or @t21 (tptp.c_lessequals @t9 @t177 @t1) @t332 (not (tptp.c_lessequals @t9 @t169 @t1))))) % 1.01/1.23 (assume @p454 (forall (@list @t249) (tptp.c_lessequals @t249 @t249 tptp.tc_RealDef_Oreal))) % 1.01/1.23 (assume @p455 (forall (@list @t413 @t414 @t412) (or (tptp.c_lessequals @t413 @t414 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t412 @t414 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t413 @t412 tptp.tc_RealDef_Oreal))))) % 1.01/1.23 (assume @p456 (forall @t27 (or @t61 @t141))) % 1.01/1.23 (assume @p457 (forall @t27 (or @t67 @t141))) % 1.01/1.23 (assume @p458 (forall @t49 (or @t108 (= (tptp.c_HOL_Oabs__class_Oabs @t415 @t1) @t415)))) % 1.01/1.23 (assume @p459 (forall @t49 (or @t108 (tptp.c_lessequals @t416 @t415 @t1)))) % 1.01/1.23 (assume @p460 (forall @t22 (or @t108 (tptp.c_lessequals @t9 @t10 @t1)))) % 1.01/1.23 (assume @p461 (forall @t49 (or @t151 (= @t102 @t417)))) % 1.01/1.23 (assume @p462 (forall @t7 (or @t6 (= @t261 (tptp.c_HOL_Oplus__class_Oplus @t3 @t2 @t1))))) % 1.01/1.23 (assume @p463 (forall (@list @t1 @t9 @t8) (or @t6 (= @t149 @t173)))) % 1.01/1.23 (assume @p464 (forall @t22 (or @t108 (= (tptp.c_HOL_Oabs__class_Oabs @t10 @t1) @t10)))) % 1.01/1.23 (assume @p465 (forall @t16 (or @t108 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t409 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs @t407 @t1) (tptp.c_HOL_Oabs__class_Oabs @t406 @t1) @t1) @t1)))) % 1.01/1.23 (assume @p466 (forall @t39 (or @t418 (tptp.c_lessequals @t149 @t177 @t1) @t332 @t83))) % 1.01/1.23 (assume @p467 (forall (@list @t1 @t2 @t3 @t58 @t419) (or @t97 (not (= @t279 (tptp.c_HOL_Oplus__class_Oplus @t3 @t419 @t1))) (= @t420 @t419)))) % 1.01/1.23 (assume @p468 (forall @t90 (or @t422 (not (= @t417 @t173)) @t421))) % 1.01/1.23 (assume @p469 (forall @t78 (or @t422 @t423 @t421))) % 1.01/1.23 (assume @p470 (forall @t78 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t423 @t421))) % 1.01/1.23 (assume @p471 (forall @t244 (or @t188 @t232 (not (= @t261 @t420)) @t250))) % 1.01/1.23 (assume @p472 (forall @t16 (or @t6 (= (tptp.c_HOL_Oplus__class_Oplus @t102 @t408 @t1) (tptp.c_HOL_Oplus__class_Oplus @t149 @t177 @t1))))) % 1.01/1.23 (assume @p473 (forall @t49 (or @t108 (= @t416 (tptp.c_HOL_Oabs__class_Oabs @t283 @t1))))) % 1.01/1.23 (assume @p474 (forall @t49 (or @t108 (tptp.c_lessequals @t424 @t416 @t1)))) % 1.01/1.23 (assume @p475 (forall @t307 (or @t21 @t306 @t425 @t131))) % 1.01/1.23 (assume @p476 (forall @t307 (or @t21 @t306 @t130 (not @t425)))) % 1.01/1.23 (assume @p477 (forall @t117 (or @t152 @t426 @t83))) % 1.01/1.23 (assume @p478 (forall @t78 (or @t152 @t77 (not @t426)))) % 1.01/1.23 (assume @p479 (forall @t85 (or @t152 @t427 @t83))) % 1.01/1.23 (assume @p480 (forall @t78 (or @t152 @t77 (not @t427)))) % 1.01/1.23 (assume @p481 (forall @t117 (or @t418 @t426 @t83))) % 1.01/1.23 (assume @p482 (forall @t85 (or @t418 @t427 @t83))) % 1.01/1.23 (assume @p483 (forall (@list @t58 @t2 @t3) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t58 @t2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t58 @t3 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t315))) % 1.01/1.23 (assume @p484 (forall @t7 (or @t61 @t42 @t134 @t131))) % 1.01/1.23 (assume @p485 (forall @t7 (or @t61 @t42 @t131 @t134))) % 1.01/1.23 (assume @p486 (forall (@list @t58 @t249) (or (= @t58 @t249) (not @t411) (not @t410)))) % 1.01/1.23 (assume @p487 (forall @t117 (or @t194 (tptp.c_lessequals @t9 (tptp.c_HOL_Oplus__class_Oplus @t8 @t13 @t1) @t1) (not (tptp.c_lessequals @t102 @t8 @t1))))) % 1.01/1.23 (assume @p488 (forall @t49 (or @t108 @t77 @t375))) % 1.01/1.23 (assume @p489 (forall @t391 (or @t389 @t392))) % 1.01/1.23 (assume @p490 (forall @t49 (or @t108 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t424 @t1) @t416 @t1)))) % 1.01/1.23 (assume @p491 (forall @t49 (or @t72 (= (tptp.c_HOL_Oplus__class_Oplus @t292 @t12 @t1) @t9)))) % 1.01/1.23 (assume @p492 (forall @t78 (or @t151 (= @t428 (tptp.c_HOL_Oplus__class_Oplus @t12 @t149 @t1))))) % 1.01/1.23 (assume @p493 (forall @t78 (or @t151 @t430))) % 1.01/1.23 (assume @p494 (forall @t244 (or @t6 (= @t279 (tptp.c_HOL_Oplus__class_Oplus @t261 @t58 @t1))))) % 1.01/1.23 (assume @p495 (forall @t244 (or @t97 (= @t279 (tptp.c_HOL_Oplus__class_Oplus @t3 @t420 @t1))))) % 1.01/1.23 (assume @p496 (forall @t78 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t430))) % 1.01/1.23 (assume @p497 (forall @t432 (or @t6 (= @t431 (tptp.c_HOL_Oplus__class_Oplus @t149 @t11 @t1))))) % 1.01/1.23 (assume @p498 (forall @t78 (or @t6 (= @t429 (tptp.c_HOL_Oplus__class_Oplus @t149 @t12 @t1))))) % 1.01/1.23 (assume @p499 (forall @t432 (or @t6 (= @t431 (tptp.c_HOL_Oplus__class_Oplus @t8 (tptp.c_HOL_Oplus__class_Oplus @t9 @t11 @t1) @t1))))) % 1.01/1.23 (assume @p500 (forall @t78 (or @t6 @t430))) % 1.01/1.23 (assume @p501 (forall @t49 (or @t108 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t102 @t1) @t415 @t1)))) % 1.01/1.23 (assume @p502 (forall (@list @t1 @t2 @t302 @t301) (or @t97 (not (= @t309 @t304)) (= @t302 @t301)))) % 1.01/1.23 (assume @p503 (forall (@list @t1 @t50 @t3 @t2) (or @t97 (not (= (tptp.c_HOL_Ominus__class_Ominus @t50 @t3 @t1) @t309)) (= @t50 @t3)))) % 1.01/1.23 (assume @p504 (forall @t39 (or @t97 (= (tptp.c_HOL_Ominus__class_Ominus @t149 @t177 @t1) (tptp.c_HOL_Oplus__class_Oplus @t292 (tptp.c_HOL_Ominus__class_Ominus @t8 @t11 @t1) @t1))))) % 1.01/1.23 (assume @p505 (forall @t49 (or @t72 (= (tptp.c_HOL_Ominus__class_Ominus @t102 @t12 @t1) @t9)))) % 1.01/1.23 (assume @p506 @t434) % 1.01/1.23 (assume @p507 (not @t438)) % 1.01/1.23 (assume @p508 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p509 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p510 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p511 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p512 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p513 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p514 @t439) % 1.01/1.23 (assume @p515 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p516 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p517 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p518 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p519 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p520 @t440) % 1.01/1.23 (assume @p521 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p522 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p523 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p524 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p525 (tptp.class_Ring__and__Field_Opordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p526 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p527 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p528 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p529 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p530 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p531 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p532 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p533 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p534 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p535 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p536 (tptp.class_Ring__and__Field_Olordered__ring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p537 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p538 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p539 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p540 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p541 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p542 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p543 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p544 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p545 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p546 (tptp.class_RealVector_Oreal__algebra tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p547 @t441) % 1.01/1.23 (assume @p548 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p549 (tptp.class_RealVector_Oreal__vector tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p550 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p551 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p552 @t442) % 1.01/1.23 (assume @p553 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p554 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p555 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p556 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p557 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.01/1.23 (assume @p558 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 1.01/1.23 (step @p559 :rule eq-symm :args (@t443 @t433)) % 1.01/1.23 (step @p560 :rule refl :args (@t393)) % 1.01/1.23 (step @p561 :rule cong :premises (@p560 @p559) :args ((=> @t393 @t444))) % 1.01/1.23 (assume-push @p691 @t393) % 1.01/1.23 (step @p563 :rule instantiate :premises (@p433) :args (@t445)) % 1.01/1.23 (step-pop @p692 :rule scope :premises (@p563)) % 1.01/1.23 (step @p564 :rule process_scope :premises (@p692) :args (@t444)) % 1.01/1.23 (step @p566 :rule eq_resolve :premises (@p564 @p561)) % 1.01/1.23 (step @p567 :rule implies_elim :premises (@p566)) % 1.01/1.23 (step @p568 :rule chain_m_resolution :premises (@p567 @p433) :args (@t446 @t447 @t448)) % 1.01/1.23 (step @p569 :rule eq-symm :args (@t449 @t435)) % 1.01/1.23 (step @p570 :rule cong :premises (@p560 @p569) :args ((=> @t393 @t450))) % 1.01/1.23 (assume-push @p693 @t393) % 1.01/1.23 (step @p572 :rule instantiate :premises (@p433) :args (@t451)) % 1.01/1.23 (step-pop @p694 :rule scope :premises (@p572)) % 1.01/1.23 (step @p573 :rule process_scope :premises (@p694) :args (@t450)) % 1.01/1.23 (step @p575 :rule eq_resolve :premises (@p573 @p570)) % 1.01/1.23 (step @p576 :rule implies_elim :premises (@p575)) % 1.01/1.23 (step @p577 :rule chain_m_resolution :premises (@p576 @p433) :args (@t452 @t447 @t448)) % 1.01/1.23 (step @p578 :rule eq-symm :args (@t453 @t437)) % 1.01/1.23 (step @p579 :rule cong :premises (@p560 @p578) :args ((=> @t393 @t454))) % 1.01/1.23 (assume-push @p695 @t393) % 1.01/1.23 (step @p581 :rule instantiate :premises (@p433) :args (@t455)) % 1.01/1.23 (step-pop @p696 :rule scope :premises (@p581)) % 1.01/1.23 (step @p582 :rule process_scope :premises (@p696) :args (@t454)) % 1.01/1.23 (step @p584 :rule eq_resolve :premises (@p582 @p579)) % 1.01/1.23 (step @p585 :rule implies_elim :premises (@p584)) % 1.01/1.23 (step @p586 :rule chain_m_resolution :premises (@p585 @p433) :args (@t456 @t447 @t448)) % 1.01/1.23 (step @p587 :rule eq-symm :args (@t453 @t457)) % 1.01/1.23 (step @p588 :rule refl :args (@t458)) % 1.01/1.23 (step @p589 :rule nary_cong :premises (@p588 @p587) :args (@t459)) % 1.01/1.23 (step @p590 :rule refl :args (@t372)) % 1.01/1.23 (step @p591 :rule cong :premises (@p590 @p589) :args ((=> @t372 @t459))) % 1.01/1.23 (assume-push @p697 @t372) % 1.01/1.23 (step @p593 :rule instantiate :premises (@p401) :args (@t460)) % 1.01/1.23 (step-pop @p698 :rule scope :premises (@p593)) % 1.01/1.23 (step @p594 :rule process_scope :premises (@p698) :args (@t459)) % 1.01/1.23 (step @p596 :rule eq_resolve :premises (@p594 @p591)) % 1.01/1.23 (step @p597 :rule implies_elim :premises (@p596)) % 1.01/1.23 (step @p598 :rule chain_m_resolution :premises (@p597 @p401) :args (@t462 @t447 (@list @t372))) % 1.01/1.23 (step @p599 :rule cnf_or_pos :args (@t462)) % 1.01/1.23 (step @p600 :rule reordering :premises (@p599) :args ((or @t458 @t461 (not @t462)))) % 1.01/1.23 (step @p601 :rule chain_m_resolution :premises (@p600 @p552 @p598) :args (@t461 @t463 (@list @t442 @t462))) % 1.01/1.23 (step @p602 :rule instantiate :premises (@p453) :args ((@list tptp.tc_RealDef_Oreal @t437 @t435 tptp.v_c @t433))) % 1.01/1.23 (step @p603 :rule cnf_or_pos :args (@t468)) % 1.01/1.23 (step @p604 :rule reordering :premises (@p603) :args ((or @t438 @t466 @t467 @t465 (not @t468)))) % 1.01/1.23 (step @p605 :rule chain_m_resolution :premises (@p604 @p507 @p506 @p520 @p602) :args (@t465 (@list true false false false) (@list @t438 @t434 @t440 @t468))) % 1.01/1.23 (step @p606 :rule instantiate :premises (@p473) :args ((@list tptp.tc_RealDef_Oreal tptp.v_a tptp.v_b))) % 1.01/1.23 (step @p607 :rule cnf_or_pos :args (@t472)) % 1.01/1.23 (step @p608 :rule reordering :premises (@p607) :args ((or @t471 @t470 (not @t472)))) % 1.01/1.23 (step @p609 :rule chain_m_resolution :premises (@p608 @p514 @p606) :args (@t470 @t463 (@list @t439 @t472))) % 1.01/1.23 (step @p610 :rule instantiate :premises (@p473) :args ((@list tptp.tc_RealDef_Oreal tptp.v_a tptp.v_m))) % 1.01/1.23 (step @p611 :rule cnf_or_pos :args (@t475)) % 1.01/1.23 (step @p612 :rule reordering :premises (@p611) :args ((or @t471 @t474 (not @t475)))) % 1.01/1.23 (step @p613 :rule chain_m_resolution :premises (@p612 @p514 @p610) :args (@t474 @t463 (@list @t439 @t475))) % 1.01/1.23 (step @p614 :rule instantiate :premises (@p473) :args (@t460)) % 1.01/1.23 (step @p615 :rule cnf_or_pos :args (@t478)) % 1.01/1.23 (step @p616 :rule reordering :premises (@p615) :args ((or @t471 @t477 (not @t478)))) % 1.01/1.23 (step @p617 :rule chain_m_resolution :premises (@p616 @p514 @p614) :args (@t477 @t463 (@list @t439 @t478))) % 1.01/1.23 (step @p618 :rule eq-symm :args (@t479 @t476)) % 1.01/1.23 (step @p619 :rule cong :premises (@p560 @p618) :args ((=> @t393 @t480))) % 1.01/1.23 (assume-push @p699 @t393) % 1.01/1.23 (step @p621 :rule instantiate :premises (@p433) :args (@t481)) % 1.01/1.23 (step-pop @p700 :rule scope :premises (@p621)) % 1.01/1.23 (step @p622 :rule process_scope :premises (@p700) :args (@t480)) % 1.01/1.23 (step @p624 :rule eq_resolve :premises (@p622 @p619)) % 1.01/1.23 (step @p625 :rule implies_elim :premises (@p624)) % 1.01/1.23 (step @p626 :rule chain_m_resolution :premises (@p625 @p433) :args (@t482 @t447 @t448)) % 1.01/1.23 (step @p627 :rule instantiate :premises (@p419) :args ((@list tptp.tc_RealDef_Oreal tptp.v_m tptp.v_b tptp.v_a))) % 1.01/1.23 (step @p628 :rule cnf_or_pos :args (@t486)) % 1.01/1.23 (step @p629 :rule reordering :premises (@p628) :args ((or @t485 @t484 (not @t486)))) % 1.01/1.23 (step @p630 :rule chain_m_resolution :premises (@p629 @p547 @p627) :args (@t484 @t463 (@list @t441 @t486))) % 1.01/1.23 (step @p631 :rule refl :args (@t487)) % 1.01/1.23 (step @p632 :rule refl :args (@t488)) % 1.01/1.23 (step @p633 :rule refl :args (@t489)) % 1.01/1.23 (step @p634 :rule refl :args (@t490)) % 1.01/1.23 (step @p635 :rule refl :args (@t491)) % 1.01/1.23 (step @p636 :rule bool-double-not-elim :args (@t464)) % 1.01/1.23 (step @p637 :rule refl :args (@t492)) % 1.01/1.23 (step @p638 :rule refl :args (@t493)) % 1.01/1.23 (step @p639 :rule refl :args (@t494)) % 1.01/1.23 (step @p640 :rule refl :args (@t495)) % 1.01/1.23 (step @p641 :rule nary_cong :premises (@p640 @p639 @p638 @p637 @p636 @p635 @p634 @p633 @p632 @p631) :args ((or @t495 @t494 @t493 @t492 (not @t465) @t491 @t490 @t489 @t488 @t487))) % 1.01/1.23 (assume-push @p701 @t461) % 1.01/1.23 (assume-push @p702 @t446) % 1.01/1.23 (assume-push @p703 @t452) % 1.01/1.23 (assume-push @p704 @t456) % 1.01/1.23 (assume-push @p705 @t465) % 1.01/1.23 (assume-push @p706 @t470) % 1.01/1.23 (assume-push @p707 @t474) % 1.01/1.23 (assume-push @p708 @t477) % 1.01/1.23 (assume-push @p709 @t482) % 1.01/1.23 (step @p651 :rule false_intro :premises (@p605)) % 1.01/1.23 (step @p652 :rule refl :args (tptp.tc_RealDef_Oreal)) % 1.01/1.23 (step @p653 :rule symm :premises (@p609)) % 1.01/1.23 (step @p654 :rule symm :premises (@p613)) % 1.01/1.23 (step @p655 :rule cong :premises (@p654 @p653 @p652) :args ((tptp.c_HOL_Oplus__class_Oplus @t473 @t469 tptp.tc_RealDef_Oreal))) % 1.01/1.23 (step @p656 :rule refl :args (@t469)) % 1.01/1.23 (step @p657 :rule cong :premises (@p613 @p656 @p652) :args (@t496)) % 1.01/1.23 (step @p658 :rule trans :premises (@p657 @p655)) % 1.01/1.23 (step @p659 :rule refl :args (@t437)) % 1.01/1.23 (step @p660 :rule cong :premises (@p659 @p658 @p652) :args ((tptp.c_lessequals @t437 @t496 tptp.tc_RealDef_Oreal))) % 1.01/1.23 (step @p661 :rule symm :premises (@p658)) % 1.01/1.23 (step @p563 :rule instantiate :premises (@p433) :args (@t445)) % 1.01/1.23 (step @p662 :rule trans :premises (@p563 @p609)) % 1.01/1.23 (step @p572 :rule instantiate :premises (@p433) :args (@t451)) % 1.01/1.23 (step @p663 :rule trans :premises (@p572 @p613)) % 1.01/1.23 (step @p664 :rule cong :premises (@p663 @p662 @p652) :args (@t483)) % 1.01/1.23 (step @p665 :rule trans :premises (@p664 @p655)) % 1.01/1.23 (step @p666 :rule trans :premises (@p665 @p661)) % 1.01/1.23 (step @p581 :rule instantiate :premises (@p433) :args (@t455)) % 1.01/1.23 (step @p667 :rule trans :premises (@p601 @p581)) % 1.01/1.23 (step @p668 :rule symm :premises (@p601)) % 1.01/1.23 (step @p669 :rule symm :premises (@p617)) % 1.01/1.23 (step @p621 :rule instantiate :premises (@p433) :args (@t481)) % 1.01/1.23 (step @p670 :rule trans :premises (@p621 @p669 @p586 @p668)) % 1.01/1.23 (step @p671 :rule trans :premises (@p670 @p667)) % 1.01/1.23 (step @p672 :rule cong :premises (@p671 @p666 @p652) :args (@t484)) % 1.01/1.23 (step @p673 :rule trans :premises (@p672 @p660 @p651)) % 1.01/1.23 (step @p674 :rule false_elim :premises (@p673)) % 1.01/1.23 (step-pop @p710 :rule scope :premises (@p674)) % 1.01/1.23 (step-pop @p711 :rule scope :premises (@p710)) % 1.01/1.23 (step-pop @p712 :rule scope :premises (@p711)) % 1.01/1.23 (step-pop @p713 :rule scope :premises (@p712)) % 1.01/1.23 (step-pop @p714 :rule scope :premises (@p713)) % 1.01/1.23 (step-pop @p715 :rule scope :premises (@p714)) % 1.01/1.23 (step-pop @p716 :rule scope :premises (@p715)) % 1.01/1.23 (step-pop @p717 :rule scope :premises (@p716)) % 1.01/1.23 (step-pop @p718 :rule scope :premises (@p717)) % 1.01/1.23 (step @p675 :rule process_scope :premises (@p718) :args (@t487)) % 1.01/1.23 (step @p685 :rule implies_elim :premises (@p675)) % 1.01/1.23 (step @p686 :rule cnf_and_neg :args (@t497)) % 1.01/1.23 (step @p687 :rule resolution :premises (@p686 @p685) :args (true @t497)) % 1.01/1.23 (step @p688 :rule eq_resolve :premises (@p687 @p641)) % 1.01/1.23 (step @p689 :rule reordering :premises (@p688) :args ((or @t464 @t495 @t494 @t493 @t492 @t491 @t490 @t489 @t487 @t488))) % 1.01/1.23 (step @p690 false :rule chain_m_resolution :premises (@p689 @p630 @p626 @p617 @p613 @p609 @p605 @p601 @p586 @p577 @p568) :args (false (@list false false false false false true false false false false) (@list @t484 @t482 @t477 @t474 @t470 @t464 @t461 @t456 @t452 @t446))) % 1.01/1.23 ) % 1.01/1.23 % SZS output end Proof % 1.01/1.23 % cvc5 exiting %------------------------------------------------------------------------------