%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG377-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 0.45s 0.88s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG377-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:08:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.88 % SZS status Unsatisfiable % 0.45/0.88 % SZS output start Proof % 0.45/0.89 ( % 0.45/0.89 (declare-sort $$unsorted 0) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.v_N1____ $$unsorted) % 0.45/0.89 (declare-const tptp.v_N2____ $$unsorted) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Oabs__if (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.v_f____ (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.v_s____ $$unsorted) % 0.45/0.89 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.tc_nat $$unsorted) % 0.45/0.89 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.45/0.89 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.89 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.45/0.89 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.45/0.89 (define @t1 () (@var "V_x" $$unsorted)) % 0.45/0.89 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t3 () (tptp.c_lessequals @t2 @t1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t4 () (not @t3)) % 0.45/0.89 (define @t5 () (tptp.c_RComplete_Onatfloor @t1)) % 0.45/0.89 (define @t6 () (tptp.c_RealDef_Oreal @t5 tptp.tc_nat)) % 0.45/0.89 (define @t7 () (@list @t1)) % 0.45/0.89 (define @t8 () (tptp.c_lessequals @t1 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t9 () (not @t8)) % 0.45/0.89 (define @t10 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.45/0.89 (define @t11 () (@var "V_n" $$unsorted)) % 0.45/0.89 (define @t12 () (tptp.c_RealDef_Oreal @t11 tptp.tc_nat)) % 0.45/0.89 (define @t13 () (@list @t11)) % 0.45/0.89 (define @t14 () (@var "V_m" $$unsorted)) % 0.45/0.89 (define @t15 () (tptp.c_Divides_Odiv__class_Omod @t14 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t16 () (tptp.c_Suc @t15)) % 0.45/0.89 (define @t17 () (= @t16 @t11)) % 0.45/0.89 (define @t18 () (tptp.c_Suc @t14)) % 0.45/0.89 (define @t19 () (tptp.c_Divides_Odiv__class_Omod @t18 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t20 () (@list @t14 @t11)) % 0.45/0.89 (define @t21 () (@var "T_a" $$unsorted)) % 0.45/0.89 (define @t22 () (@var "V_b" $$unsorted)) % 0.45/0.89 (define @t23 () (@var "V_a" $$unsorted)) % 0.45/0.89 (define @t24 () (tptp.c_Divides_Odiv__class_Omod @t23 @t22 @t21)) % 0.45/0.89 (define @t25 () (tptp.c_HOL_Ouminus__class_Ouminus @t23 @t21)) % 0.45/0.89 (define @t26 () (tptp.c_Divides_Odiv__class_Omod @t25 @t22 @t21)) % 0.45/0.89 (define @t27 () (not (tptp.class_Divides_Oring__div @t21))) % 0.45/0.89 (define @t28 () (@list @t21 @t23 @t22)) % 0.45/0.89 (define @t29 () (@var "V_a_H" $$unsorted)) % 0.45/0.89 (define @t30 () (@var "V_c" $$unsorted)) % 0.45/0.89 (define @t31 () (tptp.c_Divides_Odiv__class_Omod @t23 @t30 @t21)) % 0.45/0.89 (define @t32 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t31 @t22 @t21) @t30 @t21)) % 0.45/0.89 (define @t33 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t22 @t21)) % 0.45/0.89 (define @t34 () (tptp.c_Divides_Odiv__class_Omod @t33 @t30 @t21)) % 0.45/0.89 (define @t35 () (not (tptp.class_Divides_Osemiring__div @t21))) % 0.45/0.89 (define @t36 () (@list @t21 @t23 @t22 @t30)) % 0.45/0.89 (define @t37 () (tptp.c_Divides_Odiv__class_Omod @t22 @t30 @t21)) % 0.45/0.89 (define @t38 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t23 @t37 @t21) @t30 @t21)) % 0.45/0.89 (define @t39 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t23 @t21)) % 0.45/0.89 (define @t40 () (@list @t21 @t22 @t23)) % 0.45/0.89 (define @t41 () (@list @t21 @t23 @t30 @t22)) % 0.45/0.89 (define @t42 () (@var "V_b_H" $$unsorted)) % 0.45/0.89 (define @t43 () (tptp.c_HOL_Ozero__class_Ozero @t21)) % 0.45/0.89 (define @t44 () (@list @t21 @t23)) % 0.45/0.89 (define @t45 () (tptp.c_HOL_Oord__class_Oless @t14 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t46 () (not @t45)) % 0.45/0.89 (define @t47 () (tptp.c_HOL_Oone__class_Oone @t21)) % 0.45/0.89 (define @t48 () (tptp.c_HOL_Oord__class_Oless @t10 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t49 () (not @t48)) % 0.45/0.89 (define @t50 () (tptp.c_Suc @t10)) % 0.45/0.89 (define @t51 () (@list @t14)) % 0.45/0.89 (define @t52 () (tptp.c_Divides_Odiv__class_Omod @t23 @t30 tptp.tc_nat)) % 0.45/0.89 (define @t53 () (tptp.c_Divides_Odiv__class_Odiv @t23 @t30 tptp.tc_nat)) % 0.45/0.89 (define @t54 () (tptp.c_HOL_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t55 () (@list @t1 @t23)) % 0.45/0.89 (define @t56 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t54 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t57 () (@list @t1 @t11)) % 0.45/0.89 (define @t58 () (tptp.c_HOL_Ouminus__class_Ouminus @t43 @t21)) % 0.45/0.89 (define @t59 () (= @t58 @t43)) % 0.45/0.89 (define @t60 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t21))) % 0.45/0.89 (define @t61 () (@list @t21)) % 0.45/0.89 (define @t62 () (not (tptp.class_OrderedGroup_Ogroup__add @t21))) % 0.45/0.89 (define @t63 () (tptp.c_RealVector_Onorm__class_Onorm @t1 @t21)) % 0.45/0.89 (define @t64 () (tptp.c_HOL_Ouminus__class_Ouminus @t1 @t21)) % 0.45/0.89 (define @t65 () (not (tptp.class_RealVector_Oreal__normed__vector @t21))) % 0.45/0.89 (define @t66 () (@list @t21 @t1)) % 0.45/0.89 (define @t67 () (tptp.c_HOL_Oabs__class_Oabs @t23 @t21)) % 0.45/0.89 (define @t68 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t21))) % 0.45/0.89 (define @t69 () (= @t23 @t43)) % 0.45/0.89 (define @t70 () (tptp.c_HOL_Oord__class_Oless @t23 @t22 @t21)) % 0.45/0.89 (define @t71 () (not @t70)) % 0.45/0.89 (define @t72 () (tptp.c_HOL_Ouminus__class_Ouminus @t22 @t21)) % 0.45/0.89 (define @t73 () (tptp.c_HOL_Oord__class_Oless @t72 @t25 @t21)) % 0.45/0.89 (define @t74 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t21))) % 0.45/0.89 (define @t75 () (tptp.c_HOL_Oord__class_Oless @t72 @t23 @t21)) % 0.45/0.89 (define @t76 () (tptp.c_HOL_Oord__class_Oless @t25 @t22 @t21)) % 0.45/0.89 (define @t77 () (not @t76)) % 0.45/0.89 (define @t78 () (tptp.c_HOL_Oord__class_Oless @t22 @t25 @t21)) % 0.45/0.89 (define @t79 () (tptp.c_HOL_Oord__class_Oless @t23 @t72 @t21)) % 0.45/0.89 (define @t80 () (tptp.c_HOL_Oinverse__class_Odivide @t22 @t43 @t21)) % 0.45/0.89 (define @t81 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t21))) % 0.45/0.89 (define @t82 () (not (tptp.class_Ring__and__Field_Ofield @t21))) % 0.45/0.89 (define @t83 () (@list @t21 @t22)) % 0.45/0.89 (define @t84 () (@var "V_y" $$unsorted)) % 0.45/0.89 (define @t85 () (not (tptp.class_RealVector_Oreal__normed__field @t21))) % 0.45/0.89 (define @t86 () (tptp.c_HOL_Oabs__class_Oabs @t22 @t21)) % 0.45/0.89 (define @t87 () (tptp.c_HOL_Oinverse__class_Odivide @t23 @t22 @t21)) % 0.45/0.89 (define @t88 () (= (tptp.c_HOL_Oabs__class_Oabs @t87 @t21) (tptp.c_HOL_Oinverse__class_Odivide @t67 @t86 @t21))) % 0.45/0.89 (define @t89 () (not (tptp.class_Ring__and__Field_Oordered__field @t21))) % 0.45/0.89 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t1 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t91 () (tptp.c_lessequals @t1 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t92 () (@list @t1 @t84)) % 0.45/0.89 (define @t93 () (not @t91)) % 0.45/0.89 (define @t94 () (= @t1 @t84)) % 0.45/0.89 (define @t95 () (@var "V_r" $$unsorted)) % 0.45/0.89 (define @t96 () (tptp.c_HOL_Oabs__class_Oabs @t1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t97 () (tptp.c_lessequals @t96 @t95 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t98 () (not @t97)) % 0.45/0.89 (define @t99 () (tptp.c_lessequals @t1 @t95 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t100 () (@list @t1 @t95)) % 0.45/0.89 (define @t101 () (@var "V_s" $$unsorted)) % 0.45/0.89 (define @t102 () (tptp.c_RealVector_Onorm__class_Onorm @t84 @t21)) % 0.45/0.89 (define @t103 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t84 @t21)) % 0.45/0.89 (define @t104 () (tptp.c_RealVector_Onorm__class_Onorm @t103 @t21)) % 0.45/0.89 (define @t105 () (@var "V_nat_H" $$unsorted)) % 0.45/0.89 (define @t106 () (tptp.c_Suc @t105)) % 0.45/0.89 (define @t107 () (@list @t105)) % 0.45/0.89 (define @t108 () (tptp.c_Suc @t11)) % 0.45/0.89 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t14 @t108 tptp.tc_nat)) % 0.45/0.89 (define @t110 () (= @t14 @t11)) % 0.45/0.89 (define @t111 () (tptp.c_HOL_Oord__class_Oless @t11 @t14 tptp.tc_nat)) % 0.45/0.89 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t11 @t18 tptp.tc_nat)) % 0.45/0.89 (define @t113 () (not @t112)) % 0.45/0.89 (define @t114 () (= @t11 @t14)) % 0.45/0.89 (define @t115 () (@list @t11 @t14)) % 0.45/0.89 (define @t116 () (tptp.c_Suc @t1)) % 0.45/0.89 (define @t117 () (tptp.c_HOL_Oord__class_Oless @t1 @t116 tptp.tc_nat)) % 0.45/0.89 (define @t118 () (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)) % 0.45/0.89 (define @t119 () (tptp.c_HOL_Oord__class_Oless @t18 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t120 () (@var "V_j" $$unsorted)) % 0.45/0.89 (define @t121 () (@var "V_i" $$unsorted)) % 0.45/0.89 (define @t122 () (not (tptp.c_HOL_Oord__class_Oless @t121 @t120 tptp.tc_nat))) % 0.45/0.89 (define @t123 () (@var "V_k" $$unsorted)) % 0.45/0.89 (define @t124 () (@list @t121 @t123 @t120)) % 0.45/0.89 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t18 @t108 tptp.tc_nat)) % 0.45/0.89 (define @t126 () (tptp.c_HOL_Oplus__class_Oplus @t123 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t127 () (tptp.c_HOL_Oplus__class_Oplus @t123 @t14 tptp.tc_nat)) % 0.45/0.89 (define @t128 () (tptp.c_HOL_Oord__class_Oless @t127 @t126 tptp.tc_nat)) % 0.45/0.89 (define @t129 () (@list @t123 @t14 @t11)) % 0.45/0.89 (define @t130 () (@list @t14 @t11 @t123)) % 0.45/0.89 (define @t131 () (tptp.c_HOL_Oplus__class_Oplus @t121 @t123 tptp.tc_nat)) % 0.45/0.89 (define @t132 () (tptp.c_HOL_Oplus__class_Oplus @t121 @t120 tptp.tc_nat)) % 0.45/0.89 (define @t133 () (@var "V_l" $$unsorted)) % 0.45/0.89 (define @t134 () (not (tptp.c_HOL_Oord__class_Oless @t123 @t133 tptp.tc_nat))) % 0.45/0.89 (define @t135 () (= @t14 @t10)) % 0.45/0.89 (define @t136 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t137 () (not (= @t136 @t10))) % 0.45/0.89 (define @t138 () (= @t11 @t10)) % 0.45/0.89 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t1 @t84 tptp.tc_nat)) % 0.45/0.89 (define @t140 () (@var "V_z" $$unsorted)) % 0.45/0.89 (define @t141 () (tptp.c_HOL_Oplus__class_Oplus @t84 @t140 tptp.tc_nat)) % 0.45/0.89 (define @t142 () (tptp.c_HOL_Oord__class_Oless @t1 @t141 tptp.tc_nat)) % 0.45/0.89 (define @t143 () (@list @t1 @t84 @t140)) % 0.45/0.89 (define @t144 () (= @t22 @t43)) % 0.45/0.89 (define @t145 () (tptp.c_RealVector_Onorm__class_Onorm @t23 @t21)) % 0.45/0.89 (define @t146 () (= (tptp.c_RealVector_Onorm__class_Onorm @t87 @t21) (tptp.c_HOL_Oinverse__class_Odivide @t145 (tptp.c_RealVector_Onorm__class_Onorm @t22 @t21) tptp.tc_RealDef_Oreal))) % 0.45/0.89 (define @t147 () (tptp.c_RealDef_Oreal @t10 tptp.tc_nat)) % 0.45/0.89 (define @t148 () (tptp.c_RealDef_Oreal @t108 tptp.tc_nat)) % 0.45/0.89 (define @t149 () (tptp.c_HOL_Ouminus__class_Ouminus @t1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t84 @t149 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t151 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t152 () (tptp.c_HOL_Oord__class_Oless @t151 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t153 () (@list @t84 @t1)) % 0.45/0.89 (define @t154 () (@var "V_d" $$unsorted)) % 0.45/0.89 (define @t155 () (tptp.c_RealDef_Oreal @t154 tptp.tc_nat)) % 0.45/0.89 (define @t156 () (tptp.c_RealDef_Oreal @t1 tptp.tc_nat)) % 0.45/0.89 (define @t157 () (tptp.c_HOL_Oinverse__class_Odivide @t47 @t22 @t21)) % 0.45/0.89 (define @t158 () (tptp.c_HOL_Oord__class_Oless @t157 @t43 @t21)) % 0.45/0.89 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t22 @t43 @t21)) % 0.45/0.89 (define @t160 () (not @t159)) % 0.45/0.89 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t43 @t157 @t21)) % 0.45/0.89 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t43 @t22 @t21)) % 0.45/0.89 (define @t163 () (not @t162)) % 0.45/0.89 (define @t164 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t21))) % 0.45/0.89 (define @t165 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21))) % 0.45/0.89 (define @t166 () (tptp.c_HOL_Oinverse__class_Odivide @t22 @t30 @t21)) % 0.45/0.89 (define @t167 () (tptp.c_lessequals @t166 @t23 @t21)) % 0.45/0.89 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t43 @t30 @t21)) % 0.45/0.89 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t30 @t43 @t21)) % 0.45/0.89 (define @t170 () (tptp.c_lessequals @t43 @t23 @t21)) % 0.45/0.89 (define @t171 () (not @t170)) % 0.45/0.89 (define @t172 () (@list @t21 @t22 @t30 @t23)) % 0.45/0.89 (define @t173 () (tptp.c_lessequals @t23 @t166 @t21)) % 0.45/0.89 (define @t174 () (tptp.c_lessequals @t23 @t43 @t21)) % 0.45/0.89 (define @t175 () (not @t174)) % 0.45/0.89 (define @t176 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t1 @t21))) % 0.45/0.89 (define @t177 () (tptp.c_lessequals @t1 @t84 @t21)) % 0.45/0.89 (define @t178 () (not @t177)) % 0.45/0.89 (define @t179 () (@var "V_w" $$unsorted)) % 0.45/0.89 (define @t180 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t179 @t21))) % 0.45/0.89 (define @t181 () (tptp.c_HOL_Oinverse__class_Odivide @t84 @t179 @t21)) % 0.45/0.89 (define @t182 () (tptp.c_HOL_Oinverse__class_Odivide @t1 @t140 @t21)) % 0.45/0.89 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t182 @t181 @t21)) % 0.45/0.89 (define @t184 () (@list @t21 @t1 @t140 @t84 @t179)) % 0.45/0.89 (define @t185 () (not (tptp.c_lessequals @t43 @t1 @t21))) % 0.45/0.89 (define @t186 () (not (tptp.c_HOL_Oord__class_Oless @t84 @t43 @t21))) % 0.45/0.89 (define @t187 () (tptp.c_HOL_Oinverse__class_Odivide @t1 @t84 @t21)) % 0.45/0.89 (define @t188 () (tptp.c_lessequals @t187 @t43 @t21)) % 0.45/0.89 (define @t189 () (@list @t21 @t1 @t84)) % 0.45/0.89 (define @t190 () (not (tptp.c_lessequals @t1 @t43 @t21))) % 0.45/0.89 (define @t191 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t84 @t21))) % 0.45/0.89 (define @t192 () (tptp.c_HOL_Oord__class_Oless @t1 @t84 @t21)) % 0.45/0.89 (define @t193 () (not @t192)) % 0.45/0.89 (define @t194 () (not (tptp.c_lessequals @t179 @t140 @t21))) % 0.45/0.89 (define @t195 () (tptp.c_lessequals @t43 @t187 @t21)) % 0.45/0.89 (define @t196 () (= @t67 @t25)) % 0.45/0.89 (define @t197 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_Divides_Odiv__class_Odiv @t23 @t22 @t21) @t47 @t21)) % 0.45/0.89 (define @t198 () (tptp.c_HOL_Oplus__class_Oplus @t47 @t47 @t21)) % 0.45/0.89 (define @t199 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t21))) % 0.45/0.89 (define @t200 () (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t23 @t21) @t23)) % 0.45/0.89 (define @t201 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t21))) % 0.45/0.89 (define @t202 () (= (tptp.c_HOL_Oplus__class_Oplus @t23 @t43 @t21) @t23)) % 0.45/0.89 (define @t203 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t21))) % 0.45/0.89 (define @t204 () (not (tptp.class_Int_Onumber__ring @t21))) % 0.45/0.89 (define @t205 () (not (tptp.class_Ring__and__Field_Oidom @t21))) % 0.45/0.89 (define @t206 () (not (tptp.class_OrderedGroup_Omonoid__add @t21))) % 0.45/0.89 (define @t207 () (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t43 @t21) @t43)) % 0.45/0.89 (define @t208 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t21))) % 0.45/0.89 (define @t209 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t23 @t21)) % 0.45/0.89 (define @t210 () (not (tptp.c_HOL_Oord__class_Oless @t30 @t154 @t21))) % 0.45/0.89 (define @t211 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t154 @t21)) % 0.45/0.89 (define @t212 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t30 @t21)) % 0.45/0.89 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t212 @t211 @t21)) % 0.45/0.89 (define @t214 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t21))) % 0.45/0.89 (define @t215 () (@list @t21 @t23 @t30 @t22 @t154)) % 0.45/0.89 (define @t216 () (tptp.c_HOL_Oplus__class_Oplus @t67 @t86 @t21)) % 0.45/0.89 (define @t217 () (tptp.c_HOL_Oplus__class_Oplus @t30 @t22 @t21)) % 0.45/0.89 (define @t218 () (tptp.c_HOL_Oplus__class_Oplus @t30 @t23 @t21)) % 0.45/0.89 (define @t219 () (tptp.c_HOL_Oord__class_Oless @t218 @t217 @t21)) % 0.45/0.89 (define @t220 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t21))) % 0.45/0.89 (define @t221 () (@list @t21 @t30 @t23 @t22)) % 0.45/0.89 (define @t222 () (tptp.c_HOL_Oplus__class_Oplus @t22 @t30 @t21)) % 0.45/0.89 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t212 @t222 @t21)) % 0.45/0.89 (define @t224 () (not (tptp.c_HOL_Oord__class_Oless @t22 @t30 @t21))) % 0.45/0.89 (define @t225 () (tptp.c_HOL_Oord__class_Oless @t22 @t212 @t21)) % 0.45/0.89 (define @t226 () (@list @t21 @t22 @t23 @t30)) % 0.45/0.89 (define @t227 () (tptp.c_HOL_Oord__class_Oless @t23 @t43 @t21)) % 0.45/0.89 (define @t228 () (not @t227)) % 0.45/0.89 (define @t229 () (tptp.c_lessequals @t22 @t43 @t21)) % 0.45/0.89 (define @t230 () (not @t229)) % 0.45/0.89 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t33 @t43 @t21)) % 0.45/0.89 (define @t232 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t21))) % 0.45/0.89 (define @t233 () (tptp.c_HOL_Oord__class_Oless @t43 @t33 @t21)) % 0.45/0.89 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t43 @t23 @t21)) % 0.45/0.89 (define @t235 () (not @t234)) % 0.45/0.89 (define @t236 () (tptp.c_lessequals @t43 @t22 @t21)) % 0.45/0.89 (define @t237 () (not @t236)) % 0.45/0.89 (define @t238 () (not (tptp.c_lessequals @t22 @t30 @t21))) % 0.45/0.89 (define @t239 () (tptp.c_HOL_Oord__class_Oless @t84 @t1 @t21)) % 0.45/0.89 (define @t240 () (not @t239)) % 0.45/0.89 (define @t241 () (not (tptp.class_Orderings_Olinorder @t21))) % 0.45/0.89 (define @t242 () (@list @t21 @t84 @t1)) % 0.45/0.89 (define @t243 () (tptp.c_lessequals @t84 @t1 @t21)) % 0.45/0.89 (define @t244 () (not @t243)) % 0.45/0.89 (define @t245 () (tptp.c_lessequals @t1 @t1 @t21)) % 0.45/0.89 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t1 @t1 @t21)) % 0.45/0.89 (define @t247 () (not @t246)) % 0.45/0.89 (define @t248 () (not (tptp.class_Orderings_Opreorder @t21))) % 0.45/0.89 (define @t249 () (tptp.c_lessequals @t67 @t22 @t21)) % 0.45/0.89 (define @t250 () (not @t249)) % 0.45/0.89 (define @t251 () (tptp.c_lessequals @t23 @t22 @t21)) % 0.45/0.89 (define @t252 () (not (tptp.class_Orderings_Oorder @t21))) % 0.45/0.89 (define @t253 () (not @t251)) % 0.45/0.89 (define @t254 () (= @t23 @t22)) % 0.45/0.89 (define @t255 () (not (tptp.c_lessequals @t22 @t23 @t21))) % 0.45/0.89 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t22 @t23 @t21)) % 0.45/0.89 (define @t257 () (not (tptp.c_HOL_Oord__class_Oless @t84 @t140 @t21))) % 0.45/0.89 (define @t258 () (tptp.c_HOL_Oord__class_Oless @t1 @t140 @t21)) % 0.45/0.89 (define @t259 () (@list @t21 @t1 @t140 @t84)) % 0.45/0.89 (define @t260 () (not (tptp.c_lessequals @t84 @t140 @t21))) % 0.45/0.89 (define @t261 () (not (tptp.c_HOL_Oord__class_Oless @t140 @t84 @t21))) % 0.45/0.89 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t140 @t1 @t21)) % 0.45/0.89 (define @t263 () (@list @t21 @t140 @t1 @t84)) % 0.45/0.89 (define @t264 () (not (tptp.c_lessequals @t140 @t84 @t21))) % 0.45/0.89 (define @t265 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t11 @t21)) % 0.45/0.89 (define @t266 () (@list @t21 @t11)) % 0.45/0.89 (define @t267 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t14 @t21)) % 0.45/0.89 (define @t268 () (@list @t21 @t14)) % 0.45/0.89 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t87 @t43 @t21)) % 0.45/0.89 (define @t270 () (not @t269)) % 0.45/0.89 (define @t271 () (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t11 tptp.tc_nat) @t10)) % 0.45/0.89 (define @t272 () (= @t67 @t23)) % 0.45/0.89 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t10 @t136 tptp.tc_nat)) % 0.45/0.89 (define @t274 () (tptp.c_HOL_Oord__class_Oless @t10 @t14 tptp.tc_nat)) % 0.45/0.89 (define @t275 () (tptp.c_HOL_Oabs__class_Oabs @t43 @t21)) % 0.45/0.89 (define @t276 () (tptp.c_RealDef_Oreal @t14 tptp.tc_nat)) % 0.45/0.89 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t12 @t276 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t278 () (not @t111)) % 0.45/0.89 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t25 @t43 @t21)) % 0.45/0.89 (define @t280 () (= @t1 @t43)) % 0.45/0.89 (define @t281 () (@var "V_W" $$unsorted)) % 0.45/0.89 (define @t282 () (@var "V_S" $$unsorted)) % 0.45/0.89 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Oplus__class_Oplus @t282 (tptp.c_HOL_Ouminus__class_Ouminus @t281 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t284 () (tptp.c_HOL_Oord__class_Oless @t281 @t282 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t285 () (tptp.c_HOL_Oord__class_Oless @t149 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t286 () (tptp.c_HOL_Oord__class_Oless @t2 @t151 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t287 () (tptp.c_lessequals @t33 @t43 @t21)) % 0.45/0.89 (define @t288 () (tptp.c_lessequals @t209 @t43 @t21)) % 0.45/0.89 (define @t289 () (tptp.c_lessequals @t43 @t209 @t21)) % 0.45/0.89 (define @t290 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t21))) % 0.45/0.89 (define @t291 () (not (tptp.c_lessequals @t43 @t84 @t21))) % 0.45/0.89 (define @t292 () (not (= @t103 @t43))) % 0.45/0.89 (define @t293 () (not (tptp.c_lessequals @t43 @t30 @t21))) % 0.45/0.89 (define @t294 () (tptp.c_lessequals @t22 @t212 @t21)) % 0.45/0.89 (define @t295 () (not (tptp.c_lessequals @t43 @t43 @t21))) % 0.45/0.89 (define @t296 () (not (tptp.c_lessequals @t30 @t154 @t21))) % 0.45/0.89 (define @t297 () (tptp.c_lessequals @t25 @t23 @t21)) % 0.45/0.89 (define @t298 () (not @t297)) % 0.45/0.89 (define @t299 () (tptp.c_lessequals @t23 @t25 @t21)) % 0.45/0.89 (define @t300 () (not @t299)) % 0.45/0.89 (define @t301 () (tptp.c_lessequals @t43 @t25 @t21)) % 0.45/0.89 (define @t302 () (tptp.c_lessequals @t25 @t22 @t21)) % 0.45/0.89 (define @t303 () (not @t302)) % 0.45/0.89 (define @t304 () (tptp.c_lessequals @t25 @t43 @t21)) % 0.45/0.89 (define @t305 () (tptp.c_lessequals @t43 @t87 @t21)) % 0.45/0.89 (define @t306 () (tptp.c_lessequals @t87 @t43 @t21)) % 0.45/0.89 (define @t307 () (not @t306)) % 0.45/0.89 (define @t308 () (tptp.c_HOL_Oinverse__class_Odivide @t23 @t30 @t21)) % 0.45/0.89 (define @t309 () (not @t305)) % 0.45/0.89 (define @t310 () (not (= @t33 @t43))) % 0.45/0.89 (define @t311 () (= (tptp.c_HOL_Oplus__class_Oplus @t25 @t23 @t21) @t43)) % 0.45/0.89 (define @t312 () (not (tptp.class_OrderedGroup_Oab__group__add @t21))) % 0.45/0.89 (define @t313 () (= (tptp.c_HOL_Oinverse__class_Odivide @t23 @t23 @t21) @t47)) % 0.45/0.89 (define @t314 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t21))) % 0.45/0.89 (define @t315 () (@list @t21 @t14 @t11)) % 0.45/0.89 (define @t316 () (= (tptp.c_HOL_Oinverse__class_Odivide @t25 @t72 @t21) @t87)) % 0.45/0.89 (define @t317 () (tptp.c_HOL_Ouminus__class_Ouminus @t87 @t21)) % 0.45/0.89 (define @t318 () (= @t317 (tptp.c_HOL_Oinverse__class_Odivide @t23 @t72 @t21))) % 0.45/0.89 (define @t319 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t50 tptp.tc_nat)) % 0.45/0.89 (define @t320 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t10 tptp.tc_nat)) % 0.45/0.89 (define @t321 () (= @t14 @t50)) % 0.45/0.89 (define @t322 () (= @t11 @t50)) % 0.45/0.89 (define @t323 () (not (= @t50 @t136))) % 0.45/0.89 (define @t324 () (not (= @t136 @t50))) % 0.45/0.89 (define @t325 () (@list @t121 @t14)) % 0.45/0.89 (define @t326 () (tptp.c_lessequals @t2 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t327 () (not @t326)) % 0.45/0.89 (define @t328 () (tptp.c_lessequals @t84 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t329 () (not @t328)) % 0.45/0.89 (define @t330 () (tptp.c_lessequals @t2 (tptp.c_HOL_Oinverse__class_Odivide @t1 @t84 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t331 () (not @t330)) % 0.45/0.89 (define @t332 () (tptp.c_HOL_Ouminus__class_Ouminus @t95 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t333 () (tptp.c_lessequals @t332 @t1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t334 () (tptp.c_lessequals @t23 @t72 @t21)) % 0.45/0.89 (define @t335 () (not @t334)) % 0.45/0.89 (define @t336 () (tptp.c_lessequals @t157 @t43 @t21)) % 0.45/0.89 (define @t337 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t21)) % 0.45/0.89 (define @t338 () (tptp.c_HOL_Oord__class_Oless @t95 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t339 () (tptp.c_HOL_Oabs__class_Oabs @t95 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t340 () (@list @t95)) % 0.45/0.89 (define @t341 () (not (tptp.class_Ring__and__Field_Oabs__if @t21))) % 0.45/0.89 (define @t342 () (tptp.c_HOL_Oord__class_Oless @t209 @t43 @t21)) % 0.45/0.89 (define @t343 () (not @t342)) % 0.45/0.89 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t67 @t22 @t21)) % 0.45/0.89 (define @t345 () (not @t344)) % 0.45/0.89 (define @t346 () (tptp.c_HOL_Oord__class_Oless @t43 @t87 @t21)) % 0.45/0.89 (define @t347 () (not @t346)) % 0.45/0.89 (define @t348 () (tptp.c_HOL_Oord__class_Oless @t43 @t209 @t21)) % 0.45/0.89 (define @t349 () (tptp.c_HOL_Oord__class_Oless @t166 @t23 @t21)) % 0.45/0.89 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t23 @t166 @t21)) % 0.45/0.89 (define @t351 () (not (tptp.c_HOL_Oord__class_Oless @t1 @t43 @t21))) % 0.45/0.89 (define @t352 () (tptp.c_HOL_Oord__class_Oless @t43 @t187 @t21)) % 0.45/0.89 (define @t353 () (tptp.c_HOL_Oord__class_Oless @t308 @t166 @t21)) % 0.45/0.89 (define @t354 () (not @t256)) % 0.45/0.89 (define @t355 () (tptp.c_HOL_Oord__class_Oless @t2 @t12 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t356 () (tptp.c_HOL_Oord__class_Oless @t267 @t265 @t21)) % 0.45/0.89 (define @t357 () (tptp.c_HOL_Oord__class_Oless @t43 @t265 @t21)) % 0.45/0.89 (define @t358 () (tptp.c_HOL_Oord__class_Oless @t187 @t43 @t21)) % 0.45/0.89 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t43 @t25 @t21)) % 0.45/0.89 (define @t360 () (tptp.c_HOL_Oord__class_Oless @t23 @t25 @t21)) % 0.45/0.89 (define @t361 () (tptp.c_lessequals @t43 @t157 @t21)) % 0.45/0.89 (define @t362 () (tptp.c_HOL_Oinverse__class_Odivide @t33 @t198 @t21)) % 0.45/0.89 (define @t363 () (tptp.c_HOL_Oplus__class_Oplus tptp.v_N1____ tptp.v_N2____ tptp.tc_nat)) % 0.45/0.89 (define @t364 () (tptp.c_RealDef_Oreal (tptp.c_Suc @t363) tptp.tc_nat)) % 0.45/0.89 (define @t365 () (tptp.c_lessequals @t151 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t366 () (tptp.c_lessequals @t84 @t149 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t367 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t368 () (tptp.c_HOL_Ouminus__class_Ouminus @t133 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t369 () (tptp.c_lessequals @t2 @t151 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t370 () (tptp.c_lessequals @t149 @t84 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t371 () (tptp.c_lessequals @t56 @t276 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t372 () (tptp.c_lessequals @t140 @t179 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t373 () (tptp.c_lessequals @t179 @t140 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t374 () (tptp.c_HOL_Ouminus__class_Ouminus @t33 @t21)) % 0.45/0.89 (define @t375 () (tptp.c_HOL_Oplus__class_Oplus @t84 @t140 @t21)) % 0.45/0.89 (define @t376 () (tptp.c_HOL_Ouminus__class_Ouminus @t140 @t21)) % 0.45/0.89 (define @t377 () (@var "V_nat" $$unsorted)) % 0.45/0.89 (define @t378 () (tptp.c_Suc @t136)) % 0.45/0.89 (define @t379 () (tptp.c_HOL_Oplus__class_Oplus @t14 @t108 tptp.tc_nat)) % 0.45/0.89 (define @t380 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t11 tptp.tc_nat)) % 0.45/0.89 (define @t381 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t21))) % 0.45/0.89 (define @t382 () (@var "V_u" $$unsorted)) % 0.45/0.89 (define @t383 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t140 @t21)) % 0.45/0.89 (define @t384 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t375 @t21)) % 0.45/0.89 (define @t385 () (= @t22 @t30)) % 0.45/0.89 (define @t386 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t21))) % 0.45/0.89 (define @t387 () (not (= @t33 @t212))) % 0.45/0.89 (define @t388 () (= @t84 @t140)) % 0.45/0.89 (define @t389 () (@list @t21 @t1 @t84 @t140)) % 0.45/0.89 (define @t390 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t140 tptp.tc_nat)) % 0.45/0.89 (define @t391 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t123 tptp.tc_nat)) % 0.45/0.89 (define @t392 () (tptp.c_HOL_Oplus__class_Oplus @t30 @t154 @t21)) % 0.45/0.89 (define @t393 () (tptp.c_RealDef_Oreal (tptp.c_Suc (tptp.v_f____ @t363)) tptp.tc_nat)) % 0.45/0.89 (define @t394 () (tptp.c_lessequals @t212 @t222 @t21)) % 0.45/0.89 (define @t395 () (tptp.c_lessequals @t218 @t217 @t21)) % 0.45/0.89 (define @t396 () (forall @t221 (or @t220 @t395 @t253))) % 0.45/0.89 (define @t397 () (not (tptp.class_Lattices_Oboolean__algebra @t21))) % 0.45/0.89 (define @t398 () (tptp.c_lessequals @t72 @t25 @t21)) % 0.45/0.89 (define @t399 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t222 @t21)) % 0.45/0.89 (define @t400 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t30 @t21)) % 0.45/0.89 (define @t401 () (= @t400 @t399)) % 0.45/0.89 (define @t402 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t392 @t21)) % 0.45/0.89 (define @t403 () (@list @t21 @t23 @t30 @t154)) % 0.45/0.89 (define @t404 () (@var "V_ya" $$unsorted)) % 0.45/0.89 (define @t405 () (tptp.c_HOL_Ouminus__class_Ouminus @t72 @t21)) % 0.45/0.89 (define @t406 () (tptp.c_HOL_Ouminus__class_Ouminus @t25 @t21)) % 0.45/0.89 (define @t407 () (tptp.c_lessequals @t72 @t23 @t21)) % 0.45/0.89 (define @t408 () (tptp.c_lessequals @t22 @t25 @t21)) % 0.45/0.89 (define @t409 () (tptp.c_HOL_Oinverse__class_Odivide @t54 @t364 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t410 () (tptp.c_HOL_Oinverse__class_Odivide @t54 @t393 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t411 () (tptp.c_lessequals @t410 @t409 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t412 () (tptp.c_HOL_Ouminus__class_Ouminus tptp.v_s____ tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t413 () (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t412 @t410 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t412 @t409 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t414 () (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.45/0.89 (define @t415 () (not @t411)) % 0.45/0.89 (define @t416 () (not @t414)) % 0.45/0.89 (define @t417 () (or @t416 @t413 @t415)) % 0.45/0.89 (define @t418 () (not @t417)) % 0.45/0.89 (assume @p1 (forall @t7 (or (tptp.c_lessequals @t6 @t1 tptp.tc_RealDef_Oreal) @t4))) % 0.45/0.89 (assume @p2 (forall @t7 (or (= @t5 @t10) @t9))) % 0.45/0.89 (assume @p3 (forall @t13 (= (tptp.c_RComplete_Onatfloor @t12) @t11))) % 0.45/0.89 (assume @p4 (forall @t20 (or (= @t19 @t16) @t17))) % 0.45/0.89 (assume @p5 (forall @t20 (= @t19 (tptp.c_Divides_Odiv__class_Omod @t16 @t11 tptp.tc_nat)))) % 0.45/0.89 (assume @p6 (forall @t28 (or @t27 (= @t26 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t21) @t22 @t21))))) % 0.45/0.89 (assume @p7 (forall (@list @t21 @t23 @t22 @t29) (or @t27 (not (= @t24 (tptp.c_Divides_Odiv__class_Omod @t29 @t22 @t21))) (= @t26 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ouminus__class_Ouminus @t29 @t21) @t22 @t21))))) % 0.45/0.89 (assume @p8 (forall @t36 (or @t35 (= @t34 @t32)))) % 0.45/0.89 (assume @p9 (forall @t36 (or @t35 (= @t34 @t38)))) % 0.45/0.89 (assume @p10 (forall @t36 (or @t35 (= @t34 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t31 @t37 @t21) @t30 @t21))))) % 0.45/0.89 (assume @p11 (forall @t40 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t39 @t22 @t21) @t24)))) % 0.45/0.89 (assume @p12 (forall @t28 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t33 @t22 @t21) @t24)))) % 0.45/0.89 (assume @p13 (forall @t36 (or @t35 (= @t38 @t34)))) % 0.45/0.89 (assume @p14 (forall @t41 (or @t35 (= @t32 @t34)))) % 0.45/0.89 (assume @p15 (forall (@list @t21 @t22 @t30 @t42 @t23 @t29) (or @t35 (not (= @t37 (tptp.c_Divides_Odiv__class_Omod @t42 @t30 @t21))) (not (= @t31 (tptp.c_Divides_Odiv__class_Omod @t29 @t30 @t21))) (= @t34 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t29 @t42 @t21) @t30 @t21))))) % 0.45/0.89 (assume @p16 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t43 @t23 @t21) @t43)))) % 0.45/0.89 (assume @p17 (forall @t20 (or (= @t15 @t14) @t46))) % 0.45/0.89 (assume @p18 (forall @t28 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t24 @t22 @t21) @t24)))) % 0.45/0.89 (assume @p19 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t23 @t43 @t21) @t23)))) % 0.45/0.89 (assume @p20 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t23 @t23 @t21) @t43)))) % 0.45/0.89 (assume @p21 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Omod @t23 @t47 @t21) @t43)))) % 0.45/0.89 (assume @p22 (forall @t28 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t24 @t22 @t21) @t43)))) % 0.45/0.89 (assume @p23 (= (tptp.c_RComplete_Onatfloor @t2) @t10)) % 0.45/0.89 (assume @p24 (forall @t20 (or (tptp.c_HOL_Oord__class_Oless @t15 @t11 tptp.tc_nat) @t49))) % 0.45/0.89 (assume @p25 (forall @t20 (or (not @t17) (= @t19 @t10)))) % 0.45/0.89 (assume @p26 (forall @t51 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t50 tptp.tc_nat) @t10))) % 0.45/0.89 (assume @p27 (forall (@list @t23 @t22 @t30) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus @t23 @t22 tptp.tc_nat) @t30 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus @t53 (tptp.c_Divides_Odiv__class_Odiv @t22 @t30 tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus @t52 (tptp.c_Divides_Odiv__class_Omod @t22 @t30 tptp.tc_nat) tptp.tc_nat) @t30 tptp.tc_nat) tptp.tc_nat)))) % 0.45/0.89 (assume @p28 (forall (@list @t23 @t30) (= (tptp.c_Divides_Odiv__class_Odiv (tptp.c_Suc @t23) @t30 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oplus__class_Oplus @t53 (tptp.c_Divides_Odiv__class_Odiv @t50 @t30 tptp.tc_nat) tptp.tc_nat) (tptp.c_Divides_Odiv__class_Odiv (tptp.c_HOL_Oplus__class_Oplus @t52 (tptp.c_Divides_Odiv__class_Omod @t50 @t30 tptp.tc_nat) tptp.tc_nat) @t30 tptp.tc_nat) tptp.tc_nat)))) % 0.45/0.89 (assume @p29 (forall @t7 (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_HOL_Oplus__class_Oplus @t6 @t54 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p30 (forall @t55 (or (= (tptp.c_RComplete_Onatfloor (tptp.c_HOL_Oplus__class_Oplus @t1 (tptp.c_RealDef_Oreal @t23 tptp.tc_nat) tptp.tc_RealDef_Oreal)) (tptp.c_HOL_Oplus__class_Oplus @t5 @t23 tptp.tc_nat)) @t4))) % 0.45/0.89 (assume @p31 (forall @t57 (or (= @t5 @t11) (not (tptp.c_HOL_Oord__class_Oless @t1 @t56 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t12 @t1 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p32 (forall @t61 (or @t60 @t59))) % 0.45/0.89 (assume @p33 (forall @t61 (or @t62 @t59))) % 0.45/0.89 (assume @p34 (forall @t61 (or @t62 (= @t43 @t58)))) % 0.45/0.89 (assume @p35 (forall @t66 (or @t65 (= (tptp.c_RealVector_Onorm__class_Onorm @t64 @t21) @t63)))) % 0.45/0.89 (assume @p36 (forall @t44 (or @t68 (= (tptp.c_HOL_Oabs__class_Oabs @t25 @t21) @t67)))) % 0.45/0.89 (assume @p37 (forall @t44 (or @t60 (not (= @t25 @t23)) @t69))) % 0.45/0.89 (assume @p38 (forall @t44 (or @t62 (not (= @t25 @t43)) @t69))) % 0.45/0.89 (assume @p39 (forall @t40 (or @t74 @t73 @t71))) % 0.45/0.89 (assume @p40 (forall @t28 (or @t74 @t70 (not @t73)))) % 0.45/0.89 (assume @p41 (forall @t44 (or @t62 (not (= @t43 @t25)) (= @t43 @t23)))) % 0.45/0.89 (assume @p42 (forall @t28 (or @t74 @t76 (not @t75)))) % 0.45/0.89 (assume @p43 (forall @t40 (or @t74 @t75 @t77))) % 0.45/0.89 (assume @p44 (forall @t28 (or @t74 @t79 (not @t78)))) % 0.45/0.89 (assume @p45 (forall @t40 (or @t74 @t78 (not @t79)))) % 0.45/0.89 (assume @p46 (forall @t83 (or @t82 @t81 (= @t43 @t80)))) % 0.45/0.89 (assume @p47 (forall @t61 (or @t82 @t81 (= (tptp.c_HOL_Oinverse__class_Odivide @t43 @t43 @t21) @t43)))) % 0.45/0.89 (assume @p48 (forall @t44 (or @t82 (= (tptp.c_HOL_Oinverse__class_Odivide @t43 @t23 @t21) @t43)))) % 0.45/0.89 (assume @p49 (forall @t83 (or @t82 @t81 (= @t80 @t43)))) % 0.45/0.89 (assume @p50 (forall @t44 (or @t82 @t81 (= (tptp.c_HOL_Oinverse__class_Odivide @t23 @t43 @t21) @t43)))) % 0.45/0.89 (assume @p51 (forall (@list @t21 @t84) (or @t85 (= (tptp.c_HOL_Oinverse__class_Odivide @t43 @t84 @t21) @t43)))) % 0.45/0.89 (assume @p52 (forall @t28 (or @t89 @t81 @t88))) % 0.45/0.89 (assume @p53 (forall @t92 (or @t91 (not @t90)))) % 0.45/0.89 (assume @p54 (forall @t92 (or @t90 @t94 @t93))) % 0.45/0.89 (assume @p55 (forall @t100 (or @t99 @t98))) % 0.45/0.89 (assume @p56 (forall (@list @t21 @t1 @t84 @t95 @t101) (or @t65 (tptp.c_HOL_Oord__class_Oless @t104 (tptp.c_HOL_Oplus__class_Oplus @t95 @t101 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t102 @t101 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t63 @t95 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p57 (forall @t107 (not (= @t106 @t10)))) % 0.45/0.89 (assume @p58 (forall @t51 (not (= @t18 @t10)))) % 0.45/0.89 (assume @p59 (forall @t20 (or @t110 @t45 (not @t109)))) % 0.45/0.89 (assume @p60 (forall @t20 (or @t110 @t113 @t111))) % 0.45/0.89 (assume @p61 (forall @t115 (or @t114 @t113 @t111))) % 0.45/0.89 (assume @p62 (forall @t115 (or @t112 @t45))) % 0.45/0.89 (assume @p63 (forall @t20 (or @t46 @t113))) % 0.45/0.89 (assume @p64 (forall @t7 (or @t118 @t117))) % 0.45/0.89 (assume @p65 (forall @t20 (or @t45 (not @t119)))) % 0.45/0.89 (assume @p66 (forall @t20 (or @t109 @t46))) % 0.45/0.89 (assume @p67 (forall @t13 (tptp.c_HOL_Oord__class_Oless @t11 @t108 tptp.tc_nat))) % 0.45/0.89 (assume @p68 (forall @t7 @t117)) % 0.45/0.89 (assume @p69 (forall @t124 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc @t121) @t123 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t120 @t123 tptp.tc_nat)) @t122))) % 0.45/0.89 (assume @p70 (forall @t107 (not (= @t10 @t106)))) % 0.45/0.89 (assume @p71 (forall @t51 (not (= @t10 @t18)))) % 0.45/0.89 (assume @p72 (forall @t20 (or @t119 (= @t18 @t11) @t46))) % 0.45/0.89 (assume @p73 (forall @t20 (or @t125 @t46))) % 0.45/0.89 (assume @p74 (forall @t20 (or @t45 (not @t125)))) % 0.45/0.89 (assume @p75 (forall @t57 (or (tptp.c_HOL_Oord__class_Oless @t116 @t108 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t1 @t11 tptp.tc_nat))))) % 0.45/0.89 (assume @p76 (forall @t129 (or @t128 @t46))) % 0.45/0.89 (assume @p77 (forall @t130 (or @t45 (not @t128)))) % 0.45/0.89 (assume @p78 (forall @t124 (or (tptp.c_HOL_Oord__class_Oless @t131 (tptp.c_HOL_Oplus__class_Oplus @t120 @t123 tptp.tc_nat) tptp.tc_nat) @t122))) % 0.45/0.89 (assume @p79 (forall (@list @t121 @t120) (not (tptp.c_HOL_Oord__class_Oless @t132 @t121 tptp.tc_nat)))) % 0.45/0.89 (assume @p80 (forall (@list @t120 @t121) (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t120 @t121 tptp.tc_nat) @t121 tptp.tc_nat)))) % 0.45/0.89 (assume @p81 (forall (@list @t121 @t123 @t120 @t133) (or (tptp.c_HOL_Oord__class_Oless @t131 (tptp.c_HOL_Oplus__class_Oplus @t120 @t133 tptp.tc_nat) tptp.tc_nat) @t134 @t122))) % 0.45/0.89 (assume @p82 (forall (@list @t14 @t133 @t123 @t11) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t133 tptp.tc_nat) @t126)) @t134 @t45))) % 0.45/0.89 (assume @p83 (forall @t20 (or @t137 @t135))) % 0.45/0.89 (assume @p84 (forall @t20 (or @t137 @t138))) % 0.45/0.89 (assume @p85 (forall @t55 (or (not (= @t1 (tptp.c_HOL_Oplus__class_Oplus @t1 @t23 tptp.tc_nat))) (= @t23 @t10)))) % 0.45/0.89 (assume @p86 (forall @t20 (or (not (= @t136 @t14)) @t138))) % 0.45/0.89 (assume @p87 (forall @t143 (or @t142 (not @t139)))) % 0.45/0.89 (assume @p88 (forall @t143 (or @t142 (not (tptp.c_HOL_Oord__class_Oless @t1 @t140 tptp.tc_nat))))) % 0.45/0.89 (assume @p89 (forall @t124 (or (tptp.c_HOL_Oord__class_Oless @t121 @t123 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t132 @t123 tptp.tc_nat))))) % 0.45/0.89 (assume @p90 (forall (@list @t121 @t120 @t14) (or (tptp.c_HOL_Oord__class_Oless @t121 (tptp.c_HOL_Oplus__class_Oplus @t120 @t14 tptp.tc_nat) tptp.tc_nat) @t122))) % 0.45/0.89 (assume @p91 (forall (@list @t121 @t14 @t120) (or (tptp.c_HOL_Oord__class_Oless @t121 (tptp.c_HOL_Oplus__class_Oplus @t14 @t120 tptp.tc_nat) tptp.tc_nat) @t122))) % 0.45/0.89 (assume @p92 (= (tptp.c_HOL_Oplus__class_Oplus @t10 @t10 tptp.tc_nat) @t10)) % 0.45/0.89 (assume @p93 (forall @t7 (= @t1 (tptp.c_HOL_Oplus__class_Oplus @t1 @t10 tptp.tc_nat)))) % 0.45/0.89 (assume @p94 (forall @t51 (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t10 tptp.tc_nat) @t14))) % 0.45/0.89 (assume @p95 (forall @t13 (= (tptp.c_HOL_Oplus__class_Oplus @t10 @t11 tptp.tc_nat) @t11))) % 0.45/0.89 (assume @p96 (forall @t28 (or @t85 @t146 @t144))) % 0.45/0.89 (assume @p97 (tptp.c_lessequals @t147 @t2 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p98 (forall @t13 (or @t138 (not (tptp.c_lessequals @t12 @t2 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p99 (forall @t13 (tptp.c_HOL_Oord__class_Oless @t2 @t148 tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p100 (not (= @t2 @t54))) % 0.45/0.89 (assume @p101 (forall @t7 (not (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus @t96 @t54 tptp.tc_RealDef_Oreal) @t1 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p102 (forall @t92 (or @t152 (not @t150)))) % 0.45/0.89 (assume @p103 (forall @t153 (or @t150 (not @t152)))) % 0.45/0.89 (assume @p104 (forall @t92 (or (= (tptp.c_RComplete_Onatfloor (tptp.c_HOL_Oinverse__class_Odivide @t1 (tptp.c_RealDef_Oreal @t84 tptp.tc_nat) tptp.tc_RealDef_Oreal)) (tptp.c_Divides_Odiv__class_Odiv @t5 @t84 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t10 @t84 tptp.tc_nat)) (not (tptp.c_lessequals @t54 @t1 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p105 (forall (@list @t1 @t154) (or (= (tptp.c_HOL_Oinverse__class_Odivide @t156 @t155 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealDef_Oreal (tptp.c_Divides_Odiv__class_Odiv @t1 @t154 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_RealDef_Oreal (tptp.c_Divides_Odiv__class_Omod @t1 @t154 tptp.tc_nat) tptp.tc_nat) @t155 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t10 @t154 tptp.tc_nat))))) % 0.45/0.89 (assume @p106 (forall @t83 (or @t89 @t81 @t159 (not @t158)))) % 0.45/0.89 (assume @p107 (forall @t83 (or @t89 @t81 @t158 @t160))) % 0.45/0.89 (assume @p108 (forall @t83 (or @t89 @t81 @t162 (not @t161)))) % 0.45/0.89 (assume @p109 (forall @t83 (or @t89 @t81 @t161 @t163))) % 0.45/0.89 (assume @p110 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t23 @t47 @t21) @t23)))) % 0.45/0.89 (assume @p111 (forall @t61 (or @t164 (not (= @t47 @t43))))) % 0.45/0.89 (assume @p112 (forall @t61 (or @t165 (= (tptp.c_HOL_Oabs__class_Oabs @t47 @t21) @t47)))) % 0.45/0.89 (assume @p113 (forall @t61 (or @t164 (not (= @t43 @t47))))) % 0.45/0.89 (assume @p114 (forall @t41 (or @t89 @t81 @t170 @t169 @t168 (not @t167)))) % 0.45/0.89 (assume @p115 (forall @t172 (or @t89 @t81 @t167 @t171 @t169 @t168))) % 0.45/0.89 (assume @p116 (forall @t41 (or @t89 @t81 @t174 @t169 @t168 (not @t173)))) % 0.45/0.89 (assume @p117 (forall @t36 (or @t89 @t81 @t173 @t175 @t169 @t168))) % 0.45/0.89 (assume @p118 (forall @t184 (or @t89 @t183 (not (tptp.c_HOL_Oord__class_Oless @t179 @t140 @t21)) @t180 @t178 @t176))) % 0.45/0.89 (assume @p119 (forall @t189 (or @t89 @t188 @t186 @t185))) % 0.45/0.89 (assume @p120 (forall @t189 (or @t89 @t188 @t191 @t190))) % 0.45/0.89 (assume @p121 (forall @t184 (or @t89 @t183 @t194 @t180 @t193 @t185))) % 0.45/0.89 (assume @p122 (forall @t189 (or @t89 @t195 @t191 @t185))) % 0.45/0.89 (assume @p123 (forall @t189 (or @t89 @t195 @t186 @t190))) % 0.45/0.89 (assume @p124 (forall @t184 (or @t89 (tptp.c_lessequals @t182 @t181 @t21) @t194 @t180 @t178 @t185))) % 0.45/0.89 (assume @p125 (forall @t44 (or @t68 @t196 @t175))) % 0.45/0.89 (assume @p126 (forall @t44 (or @t68 (tptp.c_lessequals (tptp.c_HOL_Ouminus__class_Ouminus @t67 @t21) @t43 @t21)))) % 0.45/0.89 (assume @p127 (forall @t40 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t39 @t22 @t21) @t197) @t144))) % 0.45/0.89 (assume @p128 (forall @t28 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t33 @t22 @t21) @t197) @t144))) % 0.45/0.89 (assume @p129 (forall @t61 (or @t199 (tptp.c_HOL_Oord__class_Oless @t43 @t198 @t21)))) % 0.45/0.89 (assume @p130 (forall @t44 (or @t201 @t200))) % 0.45/0.89 (assume @p131 (forall @t44 (or @t201 @t202))) % 0.45/0.89 (assume @p132 (forall @t44 (or @t203 @t200))) % 0.45/0.89 (assume @p133 (forall @t66 (or @t201 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t1 @t21) @t1)))) % 0.45/0.89 (assume @p134 (forall @t66 (or @t205 @t204 (= @t1 (tptp.c_HOL_Oplus__class_Oplus @t1 @t43 @t21))))) % 0.45/0.89 (assume @p135 (forall @t44 (or @t203 @t202))) % 0.45/0.89 (assume @p136 (forall @t44 (or @t206 @t200))) % 0.45/0.89 (assume @p137 (forall @t44 (or @t206 @t202))) % 0.45/0.89 (assume @p138 (forall @t61 (or @t208 @t207))) % 0.45/0.89 (assume @p139 (forall (@list @t21 @t1 @t23) (or @t205 @t204 (not (= @t1 (tptp.c_HOL_Oplus__class_Oplus @t1 @t23 @t21))) @t69))) % 0.45/0.89 (assume @p140 (forall @t44 (or @t208 (not (= @t209 @t43)) @t69))) % 0.45/0.89 (assume @p141 (forall @t215 (or @t214 @t213 @t210 @t71))) % 0.45/0.89 (assume @p142 (forall @t28 (or @t68 (= (tptp.c_HOL_Oabs__class_Oabs @t216 @t21) @t216)))) % 0.45/0.89 (assume @p143 (forall @t36 (or @t220 @t70 (not @t219)))) % 0.45/0.89 (assume @p144 (forall @t221 (or @t220 @t219 @t71))) % 0.45/0.89 (assume @p145 (forall @t221 (or @t214 @t219 @t71))) % 0.45/0.89 (assume @p146 (forall @t36 (or @t220 @t70 (not @t223)))) % 0.45/0.89 (assume @p147 (forall @t41 (or @t220 @t223 @t71))) % 0.45/0.89 (assume @p148 (forall @t41 (or @t214 @t223 @t71))) % 0.45/0.89 (assume @p149 (forall @t226 (or @t220 @t203 @t225 @t224 @t171))) % 0.45/0.89 (assume @p150 (forall @t28 (or @t232 @t231 @t230 @t228))) % 0.45/0.89 (assume @p151 (forall @t28 (or @t232 @t231 @t160 @t175))) % 0.45/0.89 (assume @p152 (forall @t28 (or @t232 @t233 @t163 @t171))) % 0.45/0.89 (assume @p153 (forall @t28 (or @t232 @t233 @t237 @t235))) % 0.45/0.89 (assume @p154 (forall @t226 (or @t220 @t203 @t225 @t238 @t235))) % 0.45/0.89 (assume @p155 (forall @t189 (or @t241 @t178 @t240))) % 0.45/0.89 (assume @p156 (forall @t242 (or @t241 @t239 @t177))) % 0.45/0.89 (assume @p157 (forall @t242 (or @t241 @t243 @t192))) % 0.45/0.89 (assume @p158 (forall @t189 (or @t241 @t193 @t244))) % 0.45/0.89 (assume @p159 (forall @t66 (or @t241 @t246 @t245))) % 0.45/0.89 (assume @p160 (forall @t66 (or @t241 (not @t245) @t247))) % 0.45/0.89 (assume @p161 (forall @t189 (or @t241 @t192 @t243))) % 0.45/0.89 (assume @p162 (forall @t242 (or @t248 @t244 @t193))) % 0.45/0.89 (assume @p163 (forall @t28 (or @t68 @t251 @t250))) % 0.45/0.89 (assume @p164 (forall @t189 (or @t252 @t192 @t94 @t178))) % 0.45/0.89 (assume @p165 (forall @t189 (or @t252 @t94 @t192 @t178))) % 0.45/0.89 (assume @p166 (forall @t28 (or @t252 @t70 @t254 @t253))) % 0.45/0.89 (assume @p167 (forall @t28 (or @t252 @t70 @t253 @t254))) % 0.45/0.89 (assume @p168 (forall @t189 (or @t241 @t94 @t178 @t192))) % 0.45/0.89 (assume @p169 (forall @t189 (or @t241 @t94 @t192 @t178))) % 0.45/0.89 (assume @p170 (forall @t40 (or @t252 @t256 @t255 @t254))) % 0.45/0.89 (assume @p171 (forall @t40 (or @t252 @t256 @t254 @t255))) % 0.45/0.89 (assume @p172 (forall @t44 (or @t68 (tptp.c_lessequals @t23 @t67 @t21)))) % 0.45/0.89 (assume @p173 (forall @t189 (or @t248 @t192 @t243 @t178))) % 0.45/0.89 (assume @p174 (forall @t189 (or @t252 @t177 @t193))) % 0.45/0.89 (assume @p175 (forall @t189 (or @t248 @t177 @t193))) % 0.45/0.89 (assume @p176 (forall @t259 (or @t248 @t258 @t257 @t178))) % 0.45/0.89 (assume @p177 (forall @t259 (or @t248 @t258 @t260 @t193))) % 0.45/0.89 (assume @p178 (forall @t263 (or @t252 @t262 @t261 @t244))) % 0.45/0.89 (assume @p179 (forall @t263 (or @t252 @t262 @t264 @t240))) % 0.45/0.89 (assume @p180 (forall @t13 (or (not (= @t12 @t2)) @t138))) % 0.45/0.89 (assume @p181 (forall @t266 (or @t199 (tptp.c_lessequals @t43 @t265 @t21)))) % 0.45/0.89 (assume @p182 (forall @t268 (or @t199 (tptp.c_lessequals @t43 @t267 @t21)))) % 0.45/0.89 (assume @p183 (forall @t28 (or @t89 @t81 @t227 @t234 @t270))) % 0.45/0.89 (assume @p184 (forall @t40 (or @t89 @t81 @t162 @t234 @t270))) % 0.45/0.89 (assume @p185 (forall @t28 (or @t89 @t81 @t227 @t159 @t270))) % 0.45/0.89 (assume @p186 (forall @t40 (or @t89 @t81 @t162 @t159 @t270))) % 0.45/0.89 (assume @p187 (forall @t268 (or @t199 (not (tptp.c_HOL_Oord__class_Oless @t267 @t43 @t21))))) % 0.45/0.89 (assume @p188 (forall @t20 (or @t271 @t46))) % 0.45/0.89 (assume @p189 (forall @t44 (or @t68 @t272 @t235))) % 0.45/0.89 (assume @p190 (forall @t28 (or @t232 @t231 @t160 @t228))) % 0.45/0.89 (assume @p191 (forall @t13 (tptp.c_HOL_Oord__class_Oless @t10 @t108 tptp.tc_nat))) % 0.45/0.89 (assume @p192 (forall @t7 (tptp.c_HOL_Oord__class_Oless @t10 @t116 tptp.tc_nat))) % 0.45/0.89 (assume @p193 (forall @t7 (or (= @t1 @t50) (= @t1 @t10) (not (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_Suc @t50) tptp.tc_nat))))) % 0.45/0.89 (assume @p194 (forall @t115 (or @t48 @t274 (not @t273)))) % 0.45/0.89 (assume @p195 (forall @t61 (or @t68 (= @t275 @t43)))) % 0.45/0.89 (assume @p196 (forall @t259 (or @t248 @t258 @t257 @t193))) % 0.45/0.89 (assume @p197 (forall @t263 (or @t252 @t262 @t261 @t240))) % 0.45/0.89 (assume @p198 (forall @t115 (or @t111 (not @t277)))) % 0.45/0.89 (assume @p199 (forall @t115 (or @t277 @t278))) % 0.45/0.89 (assume @p200 (forall @t13 (or @t138 (not (tptp.c_HOL_Oord__class_Oless @t11 @t50 tptp.tc_nat))))) % 0.45/0.89 (assume @p201 (forall @t44 (or @t74 @t234 (not @t279)))) % 0.45/0.89 (assume @p202 (forall @t44 (or @t74 @t279 @t235))) % 0.45/0.89 (assume @p203 (forall @t66 (or @t65 (not (tptp.c_HOL_Oord__class_Oless @t63 @t2 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p204 (forall @t13 (not (tptp.c_HOL_Oord__class_Oless @t12 @t2 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p205 (forall @t66 (or @t65 @t280 (not (tptp.c_lessequals @t63 @t2 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p206 (forall (@list @t281 @t282) (or @t284 (not @t283)))) % 0.45/0.89 (assume @p207 (forall (@list @t282 @t281) (or @t283 (not @t284)))) % 0.45/0.89 (assume @p208 (forall @t92 (or @t286 (not @t285)))) % 0.45/0.89 (assume @p209 (forall @t92 (or @t285 (not @t286)))) % 0.45/0.89 (assume @p210 (forall @t7 (= (tptp.c_HOL_Oabs__class_Oabs @t156 tptp.tc_RealDef_Oreal) @t156))) % 0.45/0.89 (assume @p211 (forall @t28 (or @t232 @t287 @t230 @t175))) % 0.45/0.89 (assume @p212 (forall @t44 (or @t208 @t288 @t175))) % 0.45/0.89 (assume @p213 (forall @t44 (or @t208 @t174 (not @t288)))) % 0.45/0.89 (assume @p214 (forall @t44 (or @t208 @t289 @t171))) % 0.45/0.89 (assume @p215 (forall @t44 (or @t208 @t170 (not @t289)))) % 0.45/0.89 (assume @p216 (forall @t28 (or @t232 (tptp.c_lessequals @t43 @t33 @t21) @t237 @t171))) % 0.45/0.89 (assume @p217 (forall @t41 (or @t290 (tptp.c_lessequals @t23 (tptp.c_HOL_Oplus__class_Oplus @t30 @t86 @t21) @t21) (not (tptp.c_lessequals @t33 @t30 @t21))))) % 0.45/0.89 (assume @p218 (forall @t189 (or @t232 @t292 @t291 @t185 (= @t84 @t43)))) % 0.45/0.89 (assume @p219 (forall @t189 (or @t232 @t292 @t291 @t185 @t280))) % 0.45/0.89 (assume @p220 (forall @t226 (or @t220 @t203 @t294 @t255 @t293))) % 0.45/0.89 (assume @p221 (forall @t226 (or @t220 @t203 @t294 @t238 @t171))) % 0.45/0.89 (assume @p222 (forall @t61 (or @t232 @t295 @t295 @t207))) % 0.45/0.89 (assume @p223 (forall @t28 (or @t68 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t33 @t21) @t216 @t21)))) % 0.45/0.89 (assume @p224 (forall @t215 (or @t214 @t213 @t296 @t71))) % 0.45/0.89 (assume @p225 (forall @t215 (or @t214 @t213 @t210 @t253))) % 0.45/0.89 (assume @p226 (forall @t61 (or @t199 (not (tptp.c_lessequals @t47 @t43 @t21))))) % 0.45/0.89 (assume @p227 (forall @t61 (or @t199 (tptp.c_lessequals @t43 @t47 @t21)))) % 0.45/0.89 (assume @p228 (forall @t44 (or @t199 (tptp.c_HOL_Oord__class_Oless @t23 (tptp.c_HOL_Oplus__class_Oplus @t23 @t47 @t21) @t21)))) % 0.45/0.89 (assume @p229 (forall @t44 (or @t68 (tptp.c_lessequals @t25 @t67 @t21)))) % 0.45/0.89 (assume @p230 (forall @t44 (or @t60 @t297 @t171))) % 0.45/0.89 (assume @p231 (forall @t44 (or @t60 @t170 @t298))) % 0.45/0.89 (assume @p232 (forall @t44 (or @t60 @t299 @t175))) % 0.45/0.89 (assume @p233 (forall @t44 (or @t60 @t174 @t300))) % 0.45/0.89 (assume @p234 (forall @t44 (or @t208 @t297 @t171))) % 0.45/0.89 (assume @p235 (forall @t44 (or @t208 @t170 @t298))) % 0.45/0.89 (assume @p236 (forall @t44 (or @t208 @t299 @t175))) % 0.45/0.89 (assume @p237 (forall @t44 (or @t208 @t174 @t300))) % 0.45/0.89 (assume @p238 (forall @t44 (or @t74 @t301 @t175))) % 0.45/0.89 (assume @p239 (forall @t44 (or @t74 @t174 (not @t301)))) % 0.45/0.89 (assume @p240 (forall @t28 (or @t68 @t249 @t303 @t253))) % 0.45/0.89 (assume @p241 (forall @t28 (or @t68 @t302 @t250))) % 0.45/0.89 (assume @p242 (forall @t44 (or @t74 @t304 @t171))) % 0.45/0.89 (assume @p243 (forall @t44 (or @t74 @t170 (not @t304)))) % 0.45/0.89 (assume @p244 (forall @t28 (or @t89 @t81 @t305 @t230 @t175))) % 0.45/0.89 (assume @p245 (forall @t28 (or @t89 @t81 @t305 @t237 @t171))) % 0.45/0.89 (assume @p246 (forall @t40 (or @t89 @t81 @t236 @t229 @t307))) % 0.45/0.89 (assume @p247 (forall @t28 (or @t89 @t81 @t174 @t229 @t307))) % 0.45/0.89 (assume @p248 (forall @t40 (or @t89 @t81 @t236 @t170 @t307))) % 0.45/0.89 (assume @p249 (forall @t28 (or @t89 @t81 @t174 @t170 @t307))) % 0.45/0.89 (assume @p250 (forall @t172 (or @t89 @t81 (tptp.c_lessequals @t166 @t308 @t21) (not (tptp.c_lessequals @t30 @t43 @t21)) @t253))) % 0.45/0.89 (assume @p251 (forall @t41 (or @t89 @t81 (tptp.c_lessequals @t308 @t166 @t21) @t293 @t253))) % 0.45/0.89 (assume @p252 (forall @t28 (or @t89 @t81 @t306 @t237 @t175))) % 0.45/0.89 (assume @p253 (forall @t28 (or @t89 @t81 @t306 @t230 @t171))) % 0.45/0.89 (assume @p254 (forall @t40 (or @t89 @t81 @t229 @t236 @t309))) % 0.45/0.89 (assume @p255 (forall @t28 (or @t89 @t81 @t174 @t236 @t309))) % 0.45/0.89 (assume @p256 (forall @t40 (or @t89 @t81 @t229 @t170 @t309))) % 0.45/0.89 (assume @p257 (forall @t28 (or @t89 @t81 @t174 @t170 @t309))) % 0.45/0.89 (assume @p258 (forall @t28 (or @t62 @t310 (= @t23 @t72)))) % 0.45/0.89 (assume @p259 (forall @t28 (or @t62 @t310 (= @t25 @t22)))) % 0.45/0.89 (assume @p260 (forall @t83 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t72 @t22 @t21) @t43)))) % 0.45/0.89 (assume @p261 (forall @t44 (or @t312 @t311))) % 0.45/0.89 (assume @p262 (forall @t44 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t23 @t25 @t21) @t43)))) % 0.45/0.89 (assume @p263 (forall @t44 (or @t62 @t311))) % 0.45/0.89 (assume @p264 (forall @t28 (or @t82 (not (= @t87 @t47)) @t144 @t254))) % 0.45/0.89 (assume @p265 (forall @t66 (or @t82 @t280 (= (tptp.c_HOL_Oinverse__class_Odivide @t1 @t1 @t21) @t47)))) % 0.45/0.89 (assume @p266 (forall @t44 (or @t82 @t313 @t69))) % 0.45/0.89 (assume @p267 (forall @t44 (or @t82 @t81 @t313 @t69))) % 0.45/0.89 (assume @p268 (forall @t315 (or @t314 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t136 @t21) (tptp.c_HOL_Oplus__class_Oplus @t267 @t265 @t21))))) % 0.45/0.89 (assume @p269 (forall @t28 (or @t82 @t316 @t144))) % 0.45/0.89 (assume @p270 (forall @t28 (or @t82 @t318 @t144))) % 0.45/0.89 (assume @p271 (forall @t61 (or (not (tptp.class_RealVector_Oreal__normed__algebra__1 @t21)) (= (tptp.c_RealVector_Onorm__class_Onorm @t47 @t21) @t54)))) % 0.45/0.89 (assume @p272 (= @t319 @t50)) % 0.45/0.89 (assume @p273 (= @t50 @t320)) % 0.45/0.89 (assume @p274 (forall @t20 (or @t323 @t322 @t321))) % 0.45/0.89 (assume @p275 (forall @t20 (or @t323 @t135 @t138))) % 0.45/0.89 (assume @p276 (= @t50 @t319)) % 0.45/0.89 (assume @p277 (forall @t20 (or @t323 @t135 @t321))) % 0.45/0.89 (assume @p278 (forall @t20 (or @t323 @t322 @t138))) % 0.45/0.89 (assume @p279 (forall @t20 (or @t324 @t322 @t321))) % 0.45/0.89 (assume @p280 (forall @t20 (or @t324 @t135 @t138))) % 0.45/0.89 (assume @p281 (forall @t325 (tptp.c_HOL_Oord__class_Oless @t121 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t121 @t14 tptp.tc_nat)) tptp.tc_nat))) % 0.45/0.89 (assume @p282 (forall @t325 (tptp.c_HOL_Oord__class_Oless @t121 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t14 @t121 tptp.tc_nat)) tptp.tc_nat))) % 0.45/0.89 (assume @p283 (forall (@list @t14 @t1) (tptp.c_HOL_Oord__class_Oless @t14 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t14 @t1 tptp.tc_nat)) tptp.tc_nat))) % 0.45/0.89 (assume @p284 (= @t320 @t50)) % 0.45/0.89 (assume @p285 (forall @t20 (or @t324 @t135 @t321))) % 0.45/0.89 (assume @p286 (forall @t20 (or @t324 @t322 @t138))) % 0.45/0.89 (assume @p287 (tptp.c_lessequals @t2 @t54 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p288 (forall @t28 (or @t81 @t85 @t146))) % 0.45/0.89 (assume @p289 (forall @t92 (or @t330 @t329 @t327))) % 0.45/0.89 (assume @p290 (forall @t92 (or @t330 @t4 @t327))) % 0.45/0.89 (assume @p291 (forall @t92 (or @t330 @t329 @t9))) % 0.45/0.89 (assume @p292 (forall @t92 (or @t330 @t4 @t9))) % 0.45/0.89 (assume @p293 (forall @t153 (or @t328 @t3 @t331))) % 0.45/0.89 (assume @p294 (forall @t153 (or @t326 @t8 @t331))) % 0.45/0.89 (assume @p295 (forall @t13 (tptp.c_lessequals @t2 @t12 tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p296 (forall @t100 (or @t97 (not @t99) (not @t333)))) % 0.45/0.89 (assume @p297 (forall (@list @t95 @t1) (or @t333 @t98))) % 0.45/0.89 (assume @p298 (forall @t92 (or (not (= @t151 @t2)) (= @t84 @t149)))) % 0.45/0.89 (assume @p299 (forall @t55 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t1 (tptp.c_HOL_Ouminus__class_Ouminus @t23 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t2)) (= @t1 @t23)))) % 0.45/0.89 (assume @p300 (forall @t92 (= (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t1 (tptp.c_HOL_Ouminus__class_Ouminus @t84 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t84 @t149 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p301 (forall @t7 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t149 tptp.tc_RealDef_Oreal) @t2))) % 0.45/0.89 (assume @p302 (forall @t28 (or @t208 @t334 (not @t287)))) % 0.45/0.89 (assume @p303 (forall @t28 (or @t208 @t287 @t335))) % 0.45/0.89 (assume @p304 (forall @t83 (or @t89 @t81 @t336 @t230))) % 0.45/0.89 (assume @p305 (forall @t61 (or @t65 (tptp.c_lessequals @t337 @t2 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p306 (forall @t66 (or @t65 (not (= @t63 @t2)) @t280))) % 0.45/0.89 (assume @p307 (forall @t44 (or @t65 (= (tptp.c_HOL_Oabs__class_Oabs @t145 tptp.tc_RealDef_Oreal) @t145)))) % 0.45/0.89 (assume @p308 (forall @t315 (or (not (tptp.class_Nat_Osemiring__char__0 @t21)) (not (= @t267 @t265)) @t110))) % 0.45/0.89 (assume @p309 (forall @t20 (or @t271 @t46 @t49))) % 0.45/0.89 (assume @p310 (forall @t340 (or (= @t339 @t332) (not @t338)))) % 0.45/0.89 (assume @p311 (forall @t44 (or @t241 @t290 @t196 @t228))) % 0.45/0.89 (assume @p312 (forall @t44 (or @t341 @t196 @t228))) % 0.45/0.89 (assume @p313 (forall @t44 (or @t68 @t196 @t228))) % 0.45/0.89 (assume @p314 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t43 @t23 @t21) @t43)))) % 0.45/0.89 (assume @p315 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t23 @t43 @t21) @t43)))) % 0.45/0.89 (assume @p316 (forall @t44 (or @t165 @t342 @t228))) % 0.45/0.89 (assume @p317 (forall @t44 (or @t165 @t227 @t343))) % 0.45/0.89 (assume @p318 (forall @t44 (or @t208 @t227 @t343))) % 0.45/0.89 (assume @p319 (forall @t44 (or @t208 @t342 @t228))) % 0.45/0.89 (assume @p320 (forall @t28 (or @t165 @t76 @t345))) % 0.45/0.89 (assume @p321 (forall @t189 (or @t89 @t81 (= (tptp.c_HOL_Oinverse__class_Odivide (tptp.c_HOL_Oabs__class_Oabs @t1 @t21) @t84 @t21) (tptp.c_HOL_Oabs__class_Oabs @t187 @t21)) @t191))) % 0.45/0.89 (assume @p322 (forall @t61 (or @t65 (not (tptp.c_HOL_Oord__class_Oless @t2 @t337 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p323 (forall @t44 (or @t68 @t69 (not (tptp.c_lessequals @t67 @t43 @t21))))) % 0.45/0.89 (assume @p324 (forall @t242 (or @t241 @t239 @t192 @t94))) % 0.45/0.89 (assume @p325 (forall @t153 (or (tptp.c_HOL_Oord__class_Oless @t84 @t1 tptp.tc_nat) @t139 @t94))) % 0.45/0.89 (assume @p326 (forall @t115 (or @t111 @t45 @t110))) % 0.45/0.89 (assume @p327 (forall @t242 (or @t241 @t239 @t94 @t192))) % 0.45/0.89 (assume @p328 (forall @t189 (or @t241 @t94 @t192 @t239))) % 0.45/0.89 (assume @p329 (forall @t189 (or @t241 @t94 @t239 @t192))) % 0.45/0.89 (assume @p330 (forall @t242 (or @t165 @t239 @t192 @t94))) % 0.45/0.89 (assume @p331 (forall @t44 (or @t68 @t272 @t171))) % 0.45/0.89 (assume @p332 (forall @t66 (or @t65 (tptp.c_HOL_Oord__class_Oless @t2 @t63 tptp.tc_RealDef_Oreal) @t280))) % 0.45/0.89 (assume @p333 (forall @t28 (or @t165 @t344 @t77 @t71))) % 0.45/0.89 (assume @p334 (forall @t226 (or @t199 @t225 @t224 @t235))) % 0.45/0.89 (assume @p335 (forall @t28 (or @t89 @t81 @t227 @t234 @t347))) % 0.45/0.89 (assume @p336 (forall @t40 (or @t89 @t81 @t159 @t234 @t347))) % 0.45/0.89 (assume @p337 (forall @t28 (or @t89 @t81 @t227 @t162 @t347))) % 0.45/0.89 (assume @p338 (forall @t40 (or @t89 @t81 @t159 @t162 @t347))) % 0.45/0.89 (assume @p339 (forall @t20 (or @t273 @t49))) % 0.45/0.89 (assume @p340 (forall @t20 (or @t273 (not @t274)))) % 0.45/0.89 (assume @p341 (forall @t44 (or @t208 @t234 (not @t348)))) % 0.45/0.89 (assume @p342 (forall @t44 (or @t208 @t348 @t235))) % 0.45/0.89 (assume @p343 (forall @t51 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t50 tptp.tc_nat) @t14))) % 0.45/0.89 (assume @p344 (forall @t66 (or @t65 (tptp.c_lessequals @t2 @t63 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p345 (forall @t41 (or @t89 @t81 @t234 @t169 @t168 (not @t349)))) % 0.45/0.89 (assume @p346 (forall @t172 (or @t89 @t81 @t349 @t235 @t169 @t168))) % 0.45/0.89 (assume @p347 (forall @t41 (or @t89 @t81 @t227 @t169 @t168 (not @t350)))) % 0.45/0.89 (assume @p348 (forall @t36 (or @t89 @t81 @t350 @t228 @t169 @t168))) % 0.45/0.89 (assume @p349 (forall @t189 (or @t89 @t352 @t186 @t351))) % 0.45/0.89 (assume @p350 (forall @t189 (or @t89 @t352 @t191 @t176))) % 0.45/0.89 (assume @p351 (forall @t28 (or @t89 @t81 @t346 @t163 @t235))) % 0.45/0.89 (assume @p352 (forall @t28 (or @t89 @t81 @t346 @t160 @t228))) % 0.45/0.89 (assume @p353 (forall @t41 (or @t89 @t353 (not @t168) @t71))) % 0.45/0.89 (assume @p354 (forall @t41 (or @t89 @t353 (not @t169) @t354))) % 0.45/0.89 (assume @p355 (forall @t266 (or @t165 (= (tptp.c_HOL_Oabs__class_Oabs @t265 @t21) @t265)))) % 0.45/0.89 (assume @p356 (forall @t61 (or @t68 (tptp.c_lessequals @t275 @t43 @t21)))) % 0.45/0.89 (assume @p357 (forall @t61 (or @t314 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t10 @t21) @t43)))) % 0.45/0.89 (assume @p358 (forall @t28 (or @t89 @t88 @t144))) % 0.45/0.89 (assume @p359 (forall @t51 (not (tptp.c_HOL_Oord__class_Oless @t14 @t10 tptp.tc_nat)))) % 0.45/0.89 (assume @p360 (forall @t13 (not (tptp.c_HOL_Oord__class_Oless @t11 @t10 tptp.tc_nat)))) % 0.45/0.89 (assume @p361 (forall @t7 (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Oplus__class_Oplus @t54 @t96 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p362 (forall @t44 (or @t35 (= (tptp.c_Divides_Odiv__class_Odiv @t23 @t23 @t21) @t47) @t69))) % 0.45/0.89 (assume @p363 (forall @t44 (or @t68 (= (tptp.c_HOL_Oabs__class_Oabs @t67 @t21) @t67)))) % 0.45/0.89 (assume @p364 (forall @t44 (or @t68 (tptp.c_HOL_Oord__class_Oless @t43 @t67 @t21) @t69))) % 0.45/0.89 (assume @p365 (forall @t61 (or @t65 (= @t337 @t2)))) % 0.45/0.89 (assume @p366 (forall @t13 (or @t48 (not @t355)))) % 0.45/0.89 (assume @p367 (forall @t13 (or @t355 @t49))) % 0.45/0.89 (assume @p368 (tptp.c_HOL_Oord__class_Oless @t10 @t50 tptp.tc_nat)) % 0.45/0.89 (assume @p369 (forall @t61 (or @t199 (not (tptp.c_HOL_Oord__class_Oless @t47 @t43 @t21))))) % 0.45/0.89 (assume @p370 (forall @t28 (or @t165 @t70 @t345))) % 0.45/0.89 (assume @p371 (forall @t66 (or @t241 @t247))) % 0.45/0.89 (assume @p372 (forall @t66 (or @t252 @t247))) % 0.45/0.89 (assume @p373 (forall @t7 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p374 (forall @t13 (not (tptp.c_HOL_Oord__class_Oless @t11 @t11 tptp.tc_nat)))) % 0.45/0.89 (assume @p375 (forall @t7 (not @t118))) % 0.45/0.89 (assume @p376 (forall @t66 (or @t248 @t247))) % 0.45/0.89 (assume @p377 (forall @t28 (or @t232 @t233 @t163 @t235))) % 0.45/0.89 (assume @p378 (forall @t44 (or @t68 (not (tptp.c_HOL_Oord__class_Oless @t67 @t43 @t21))))) % 0.45/0.89 (assume @p379 (forall @t315 (or @t199 @t45 (not @t356)))) % 0.45/0.89 (assume @p380 (forall @t315 (or @t199 @t356 @t46))) % 0.45/0.89 (assume @p381 (forall @t61 (or @t199 (tptp.c_HOL_Oord__class_Oless @t43 @t47 @t21)))) % 0.45/0.89 (assume @p382 (forall @t266 (or @t199 @t48 (not @t357)))) % 0.45/0.89 (assume @p383 (forall @t266 (or @t199 @t357 @t49))) % 0.45/0.89 (assume @p384 (forall @t13 (or @t48 @t138))) % 0.45/0.89 (assume @p385 (not (tptp.c_HOL_Oord__class_Oless @t10 @t10 tptp.tc_nat))) % 0.45/0.89 (assume @p386 (forall @t340 (or (= @t339 @t95) @t338))) % 0.45/0.89 (assume @p387 (forall @t44 (or @t241 @t290 @t272 @t227))) % 0.45/0.89 (assume @p388 (forall @t44 (or @t341 @t272 @t227))) % 0.45/0.89 (assume @p389 (= @t147 @t2)) % 0.45/0.89 (assume @p390 (forall @t44 (or @t68 (not (= @t67 @t43)) @t69))) % 0.45/0.89 (assume @p391 (forall @t61 (or @t68 (not (tptp.c_HOL_Oord__class_Oless @t43 @t275 @t21))))) % 0.45/0.89 (assume @p392 (forall @t189 (or @t89 @t358 @t191 @t351))) % 0.45/0.89 (assume @p393 (forall @t189 (or @t89 @t358 @t186 @t176))) % 0.45/0.89 (assume @p394 (forall @t28 (or @t89 @t81 @t269 @t160 @t235))) % 0.45/0.89 (assume @p395 (forall @t28 (or @t89 @t81 @t269 @t163 @t228))) % 0.45/0.89 (assume @p396 (forall @t44 (or @t74 @t227 (not @t359)))) % 0.45/0.89 (assume @p397 (forall @t44 (or @t74 @t359 @t228))) % 0.45/0.89 (assume @p398 (forall @t44 (or @t165 @t227 (not @t360)))) % 0.45/0.89 (assume @p399 (forall @t44 (or @t165 @t360 @t228))) % 0.45/0.89 (assume @p400 (forall @t44 (or @t68 (tptp.c_lessequals @t43 @t67 @t21)))) % 0.45/0.89 (assume @p401 (forall @t40 (or @t248 @t354 @t71))) % 0.45/0.89 (assume @p402 (forall @t242 (or @t248 @t240 @t193))) % 0.45/0.89 (assume @p403 (forall @t189 (or @t241 @t193 @t240))) % 0.45/0.89 (assume @p404 (forall @t28 (or @t252 @t71 @t354))) % 0.45/0.89 (assume @p405 (forall @t83 (or @t89 @t81 @t229 (not @t336)))) % 0.45/0.89 (assume @p406 (forall @t83 (or @t89 @t81 @t361 @t237))) % 0.45/0.89 (assume @p407 (forall @t83 (or @t89 @t81 @t236 (not @t361)))) % 0.45/0.89 (assume @p408 (forall @t28 (or @t89 (tptp.c_HOL_Oord__class_Oless @t23 @t362 @t21) @t71))) % 0.45/0.89 (assume @p409 (forall @t28 (or @t89 (tptp.c_HOL_Oord__class_Oless @t362 @t22 @t21) @t71))) % 0.45/0.89 (assume @p410 (forall @t268 (or @t314 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t21) (tptp.c_HOL_Oplus__class_Oplus @t47 @t267 @t21))))) % 0.45/0.89 (assume @p411 (forall @t189 (or @t65 (tptp.c_lessequals @t104 (tptp.c_HOL_Oplus__class_Oplus @t63 @t102 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p412 (tptp.c_HOL_Oord__class_Oless @t2 @t364 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p413 (= (tptp.c_RealDef_Oreal @t50 tptp.tc_nat) @t54)) % 0.45/0.89 (assume @p414 (forall (@list @t11 @t1) (tptp.c_lessequals (tptp.c_RealDef_Oreal (tptp.c_Divides_Odiv__class_Odiv @t11 @t1 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oinverse__class_Odivide @t12 @t156 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p415 (forall @t153 (or @t366 (not @t365)))) % 0.45/0.89 (assume @p416 (forall @t92 (or @t365 (not @t366)))) % 0.45/0.89 (assume @p417 (forall (@list @t1 @t84 @t133 @t14) (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t151 (tptp.c_HOL_Oplus__class_Oplus @t368 @t367 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 @t1 @t368 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Oplus__class_Oplus @t84 @t367 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p418 (forall @t92 (or @t370 (not @t369)))) % 0.45/0.89 (assume @p419 (forall @t92 (or @t369 (not @t370)))) % 0.45/0.89 (assume @p420 (forall @t115 (or @t371 @t278))) % 0.45/0.89 (assume @p421 (forall @t115 (or @t111 (not @t371)))) % 0.45/0.89 (assume @p422 (forall (@list @t179 @t140) (or @t373 @t372))) % 0.45/0.89 (assume @p423 (forall @t242 (or @t241 @t243 @t177))) % 0.45/0.89 (assume @p424 (forall @t28 (or @t312 (= @t374 (tptp.c_HOL_Oplus__class_Oplus @t25 @t72 @t21))))) % 0.45/0.89 (assume @p425 (forall @t28 (or @t62 (= @t374 (tptp.c_HOL_Oplus__class_Oplus @t72 @t25 @t21))))) % 0.45/0.89 (assume @p426 (forall @t263 (or @t252 (tptp.c_lessequals @t140 @t1 @t21) @t264 @t244))) % 0.45/0.89 (assume @p427 (forall @t259 (or @t248 (tptp.c_lessequals @t1 @t140 @t21) @t260 @t178))) % 0.45/0.89 (assume @p428 (forall (@list @t21 @t23 @t22 @t154 @t30) (or @t74 (tptp.c_lessequals @t23 @t211 @t21) @t296 (not (tptp.c_lessequals @t23 @t222 @t21))))) % 0.45/0.89 (assume @p429 (forall (@list @t179) (tptp.c_lessequals @t179 @t179 tptp.tc_RealDef_Oreal))) % 0.45/0.89 (assume @p430 (forall @t124 (or (tptp.c_lessequals @t121 @t123 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t120 @t123 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t121 @t120 tptp.tc_RealDef_Oreal))))) % 0.45/0.89 (assume @p431 (forall @t66 (or @t252 @t245))) % 0.45/0.89 (assume @p432 (forall @t66 (or @t248 @t245))) % 0.45/0.89 (assume @p433 (tptp.c_lessequals @t54 @t54 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p434 (forall @t28 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t25 @t33 @t21) @t22)))) % 0.45/0.89 (assume @p435 (forall (@list @t21 @t140 @t84) (or @t312 (= (tptp.c_HOL_Oplus__class_Oplus @t376 @t375 @t21) @t84)))) % 0.45/0.89 (assume @p436 (forall @t92 (or (not (= @t116 (tptp.c_Suc @t84))) @t94))) % 0.45/0.89 (assume @p437 (forall (@list @t377 @t105) (or (not (= (tptp.c_Suc @t377) @t106)) (= @t377 @t105)))) % 0.45/0.89 (assume @p438 (forall @t28 (or @t203 (= @t33 @t39)))) % 0.45/0.89 (assume @p439 (forall @t189 (or @t201 (= @t103 (tptp.c_HOL_Oplus__class_Oplus @t84 @t1 @t21))))) % 0.45/0.89 (assume @p440 (forall @t20 (= @t136 (tptp.c_HOL_Oplus__class_Oplus @t11 @t14 tptp.tc_nat)))) % 0.45/0.89 (assume @p441 (forall (@list @t21 @t23 @t30) (or @t201 (= @t212 @t218)))) % 0.45/0.89 (assume @p442 (forall @t20 (= @t379 @t378))) % 0.45/0.89 (assume @p443 (forall @t20 (= @t380 @t378))) % 0.45/0.89 (assume @p444 (forall @t215 (or @t381 (tptp.c_lessequals @t212 @t211 @t21) @t296 @t253))) % 0.45/0.89 (assume @p445 (forall (@list @t21 @t1 @t84 @t140 @t382) (or @t312 (not (= @t384 (tptp.c_HOL_Oplus__class_Oplus @t84 @t382 @t21))) (= @t383 @t382)))) % 0.45/0.89 (assume @p446 (forall @t20 (= @t380 @t379))) % 0.45/0.89 (assume @p447 (forall @t226 (or @t386 (not (= @t39 @t218)) @t385))) % 0.45/0.89 (assume @p448 (forall @t36 (or @t386 @t387 @t385))) % 0.45/0.89 (assume @p449 (forall @t36 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t21)) @t387 @t385))) % 0.45/0.89 (assume @p450 (forall @t389 (or @t205 @t204 (not (= @t103 @t383)) @t388))) % 0.45/0.89 (assume @p451 (forall @t143 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t84 tptp.tc_nat) @t390)) @t388))) % 0.45/0.89 (assume @p452 (forall @t129 (or (not (= @t127 @t126)) @t110))) % 0.45/0.89 (assume @p453 (forall (@list @t14 @t123 @t11) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t123 tptp.tc_nat) @t391)) @t110))) % 0.45/0.89 (assume @p454 (forall @t44 (or @t82 (= (tptp.c_HOL_Oinverse__class_Odivide @t23 @t47 @t21) @t23)))) % 0.45/0.89 (assume @p455 (forall (@list @t21 @t23 @t22 @t30 @t154) (or @t201 (= (tptp.c_HOL_Oplus__class_Oplus @t33 @t392 @t21) (tptp.c_HOL_Oplus__class_Oplus @t212 @t211 @t21))))) % 0.45/0.89 (assume @p456 (forall @t13 (= @t148 @t56))) % 0.45/0.89 (assume @p457 (forall @t28 (or @t82 (= @t317 (tptp.c_HOL_Oinverse__class_Odivide @t25 @t22 @t21))))) % 0.45/0.89 (assume @p458 (forall @t28 (or @t82 @t81 @t318))) % 0.45/0.89 (assume @p459 (tptp.c_lessequals @t364 @t393 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p460 (forall @t13 (not (= @t108 @t11)))) % 0.45/0.89 (assume @p461 (forall @t13 (not (= @t11 @t108)))) % 0.45/0.89 (assume @p462 (forall @t28 (or @t62 (= (tptp.c_HOL_Oplus__class_Oplus @t23 (tptp.c_HOL_Oplus__class_Oplus @t25 @t22 @t21) @t21) @t22)))) % 0.45/0.89 (assume @p463 (forall @t41 (or @t220 @t394 @t253))) % 0.45/0.89 (assume @p464 (forall @t36 (or @t220 @t251 (not @t394)))) % 0.45/0.89 (assume @p465 @t396) % 0.45/0.89 (assume @p466 (forall @t36 (or @t220 @t251 (not @t395)))) % 0.45/0.89 (assume @p467 (forall @t41 (or @t381 @t394 @t253))) % 0.45/0.89 (assume @p468 (forall @t221 (or @t381 @t395 @t253))) % 0.45/0.89 (assume @p469 (forall (@list @t140 @t1 @t84) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t140 @t1 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t140 @t84 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t93))) % 0.45/0.89 (assume @p470 (forall @t189 (or @t252 @t94 @t178 @t244))) % 0.45/0.89 (assume @p471 (forall @t189 (or @t252 @t94 @t244 @t178))) % 0.45/0.89 (assume @p472 (forall (@list @t140 @t179) (or (= @t140 @t179) (not @t373) (not @t372)))) % 0.45/0.89 (assume @p473 (forall @t189 (or @t397 (not (= @t64 (tptp.c_HOL_Ouminus__class_Ouminus @t84 @t21))) @t94))) % 0.45/0.89 (assume @p474 (forall @t28 (or @t62 (not (= @t25 @t72)) @t254))) % 0.45/0.89 (assume @p475 (forall @t115 (or (not (= @t12 @t276)) @t114))) % 0.45/0.89 (assume @p476 (forall @t28 (or @t74 @t251 (not @t398)))) % 0.45/0.89 (assume @p477 (forall @t40 (or @t74 @t398 @t253))) % 0.45/0.89 (assume @p478 (forall @t36 (or @t203 (= @t399 (tptp.c_HOL_Oplus__class_Oplus @t22 @t212 @t21))))) % 0.45/0.89 (assume @p479 (forall @t36 (or @t203 @t401))) % 0.45/0.89 (assume @p480 (forall @t389 (or @t201 (= @t384 (tptp.c_HOL_Oplus__class_Oplus @t103 @t140 @t21))))) % 0.45/0.89 (assume @p481 (forall @t130 (= (tptp.c_HOL_Oplus__class_Oplus @t136 @t123 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t14 @t391 tptp.tc_nat)))) % 0.45/0.89 (assume @p482 (forall @t143 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t141 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t84 @t390 tptp.tc_nat)))) % 0.45/0.89 (assume @p483 (forall @t389 (or @t312 (= @t384 (tptp.c_HOL_Oplus__class_Oplus @t84 @t383 @t21))))) % 0.45/0.89 (assume @p484 (forall @t36 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t21)) @t401))) % 0.45/0.89 (assume @p485 (forall @t403 (or @t201 (= @t402 (tptp.c_HOL_Oplus__class_Oplus @t212 @t154 @t21))))) % 0.45/0.89 (assume @p486 (forall @t36 (or @t201 (= @t400 (tptp.c_HOL_Oplus__class_Oplus @t212 @t22 @t21))))) % 0.45/0.89 (assume @p487 (forall @t403 (or @t201 (= @t402 (tptp.c_HOL_Oplus__class_Oplus @t30 (tptp.c_HOL_Oplus__class_Oplus @t23 @t154 @t21) @t21))))) % 0.45/0.89 (assume @p488 (forall @t36 (or @t201 @t401))) % 0.45/0.89 (assume @p489 (forall @t20 (= (tptp.c_RealDef_Oreal @t136 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t276 @t12 tptp.tc_RealDef_Oreal)))) % 0.45/0.89 (assume @p490 (forall @t28 (or @t82 @t81 @t316))) % 0.45/0.89 (assume @p491 (forall @t189 (or @t85 (= (tptp.c_HOL_Oinverse__class_Odivide @t64 @t84 @t21) (tptp.c_HOL_Ouminus__class_Ouminus @t187 @t21))))) % 0.45/0.89 (assume @p492 (forall @t389 (or @t312 (not (= @t384 @t84)) (= @t1 @t376)))) % 0.45/0.89 (assume @p493 (forall @t36 (or @t82 (= (tptp.c_HOL_Oinverse__class_Odivide @t33 @t30 @t21) (tptp.c_HOL_Oplus__class_Oplus @t308 @t166 @t21))))) % 0.45/0.89 (assume @p494 (forall (@list @t21 @t1 @t84 @t404) (or @t85 (= (tptp.c_HOL_Oinverse__class_Odivide @t103 @t404 @t21) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oinverse__class_Odivide @t1 @t404 @t21) (tptp.c_HOL_Oinverse__class_Odivide @t84 @t404 @t21) @t21))))) % 0.45/0.89 (assume @p495 (forall @t83 (or @t62 (= @t405 @t22)))) % 0.45/0.89 (assume @p496 (forall @t44 (or @t62 (= @t23 @t406)))) % 0.45/0.89 (assume @p497 (forall @t83 (or @t62 (= @t22 @t405)))) % 0.45/0.89 (assume @p498 (forall @t66 (or @t397 (= (tptp.c_HOL_Ouminus__class_Ouminus @t64 @t21) @t1)))) % 0.45/0.89 (assume @p499 (forall @t44 (or @t62 (= @t406 @t23)))) % 0.45/0.89 (assume @p500 (forall @t28 (or @t74 @t302 (not @t407)))) % 0.45/0.89 (assume @p501 (forall @t40 (or @t74 @t407 @t303))) % 0.45/0.89 (assume @p502 (forall @t28 (or @t74 @t334 (not @t408)))) % 0.45/0.89 (assume @p503 (forall @t40 (or @t74 @t408 @t335))) % 0.45/0.89 (assume @p504 @t411) % 0.45/0.89 (assume @p505 (not @t413)) % 0.45/0.89 (assume @p506 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.45/0.89 (assume @p507 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.45/0.89 (assume @p508 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.45/0.89 (assume @p509 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.45/0.89 (assume @p510 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.45/0.89 (assume @p511 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.45/0.89 (assume @p512 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.45/0.89 (assume @p513 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.45/0.89 (assume @p514 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.45/0.89 (assume @p515 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.45/0.89 (assume @p516 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.45/0.89 (assume @p517 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.45/0.89 (assume @p518 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.45/0.89 (assume @p519 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.45/0.89 (assume @p520 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.45/0.89 (assume @p521 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.45/0.89 (assume @p522 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.45/0.89 (assume @p523 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.45/0.89 (assume @p524 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p525 @t414) % 0.45/0.89 (assume @p526 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p527 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p528 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p529 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p530 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p531 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p532 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p533 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p534 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p535 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p536 (tptp.class_Ring__and__Field_Odivision__by__zero tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p537 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p538 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p539 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p540 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p541 (tptp.class_Ring__and__Field_Oordered__field tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p542 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p543 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p544 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p545 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p546 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p547 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p548 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p549 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p550 (tptp.class_Ring__and__Field_Oabs__if tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p551 (tptp.class_Ring__and__Field_Ofield tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p552 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p553 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p554 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p555 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p556 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.45/0.89 (assume @p557 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.45/0.89 (step @p558 :rule cnf_or_pos :args (@t417)) % 0.45/0.89 (step @p559 :rule reordering :premises (@p558) :args ((or @t413 @t415 @t416 @t418))) % 0.45/0.89 (step @p560 :rule chain_m_resolution :premises (@p559 @p505 @p504 @p525) :args (@t418 (@list true false false) (@list @t413 @t411 @t414))) % 0.45/0.89 (assume-push @p567 @t396) % 0.45/0.89 (step @p562 :rule instantiate :premises (@p465) :args ((@list tptp.tc_RealDef_Oreal @t412 @t410 @t409))) % 0.45/0.89 (step-pop @p568 :rule scope :premises (@p562)) % 0.45/0.89 (step @p563 :rule process_scope :premises (@p568) :args (@t417)) % 0.45/0.89 (step @p565 :rule implies_elim :premises (@p563)) % 0.45/0.89 (step @p566 false :rule chain_m_resolution :premises (@p565 @p560 @p465) :args (false (@list true false) (@list @t417 @t396))) % 0.45/0.89 ) % 0.45/0.89 % SZS output end Proof % 0.75/0.90 % cvc5 exiting %------------------------------------------------------------------------------