%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG350-1 : 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 : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:49 AM UTC 2026 % Result : Unsatisfiable 0.42s 0.74s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG350-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:07:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.74 % SZS status Unsatisfiable % 0.42/0.74 % SZS output start Proof % 0.42/0.75 ( % 0.42/0.75 (declare-sort $$unsorted 0) % 0.42/0.75 (declare-const tptp.v_xa $$unsorted) % 0.42/0.75 (declare-const tptp.v_L____ $$unsorted) % 0.42/0.75 (declare-const tptp.t_a $$unsorted) % 0.42/0.75 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.v_x____ $$unsorted) % 0.42/0.75 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.v_P $$unsorted) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.v_Y____ $$unsorted) % 0.42/0.75 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.c_Transcendental_Oexp (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_HOL_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.42/0.75 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__join (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.42/0.75 (declare-const tptp.c_NthRoot_Osqrt (-> $$unsorted $$unsorted)) % 0.42/0.75 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.42/0.75 (define @t1 () (@var "T_a" $$unsorted)) % 0.42/0.75 (define @t2 () (@var "V_x" $$unsorted)) % 0.42/0.75 (define @t3 () (tptp.c_RealVector_Onorm__class_Onorm @t2 @t1)) % 0.42/0.75 (define @t4 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 0.42/0.75 (define @t5 () (not (tptp.class_RealVector_Oreal__normed__vector @t1))) % 0.42/0.75 (define @t6 () (@list @t1 @t2)) % 0.42/0.75 (define @t7 () (@var "V_a" $$unsorted)) % 0.42/0.75 (define @t8 () (tptp.c_RealVector_Onorm__class_Onorm @t7 @t1)) % 0.42/0.75 (define @t9 () (@list @t1 @t7)) % 0.42/0.75 (define @t10 () (@var "V_b" $$unsorted)) % 0.42/0.75 (define @t11 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t7 @t1)) % 0.42/0.75 (define @t12 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t10 @t1)) % 0.42/0.75 (define @t13 () (tptp.c_RealVector_Onorm__class_Onorm @t12 @t1)) % 0.42/0.75 (define @t14 () (@list @t1 @t7 @t10)) % 0.42/0.75 (define @t15 () (@var "V_y" $$unsorted)) % 0.42/0.75 (define @t16 () (tptp.c_RealVector_Onorm__class_Onorm @t15 @t1)) % 0.42/0.75 (define @t17 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t15 @t1)) % 0.42/0.75 (define @t18 () (tptp.c_RealVector_Onorm__class_Onorm @t17 @t1)) % 0.42/0.75 (define @t19 () (@list @t1 @t2 @t15)) % 0.42/0.75 (define @t20 () (@var "V_r" $$unsorted)) % 0.42/0.75 (define @t21 () (@var "V_s" $$unsorted)) % 0.42/0.75 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t2 @t15 @t1)) % 0.42/0.75 (define @t23 () (not @t22)) % 0.42/0.75 (define @t24 () (@var "V_z" $$unsorted)) % 0.42/0.75 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t15 @t24 @t1)) % 0.42/0.75 (define @t26 () (not @t25)) % 0.42/0.75 (define @t27 () (tptp.c_HOL_Oord__class_Oless @t2 @t24 @t1)) % 0.42/0.75 (define @t28 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.42/0.75 (define @t29 () (@list @t1 @t2 @t24 @t15)) % 0.42/0.75 (define @t30 () (tptp.c_HOL_Oord__class_Oless @t15 @t2 @t1)) % 0.42/0.75 (define @t31 () (not @t30)) % 0.42/0.75 (define @t32 () (tptp.c_HOL_Oord__class_Oless @t24 @t15 @t1)) % 0.42/0.75 (define @t33 () (not @t32)) % 0.42/0.75 (define @t34 () (tptp.c_HOL_Oord__class_Oless @t24 @t2 @t1)) % 0.42/0.75 (define @t35 () (not (tptp.class_Orderings_Oorder @t1))) % 0.42/0.75 (define @t36 () (@list @t1 @t24 @t2 @t15)) % 0.42/0.75 (define @t37 () (not (tptp.class_Lattices_Oupper__semilattice @t1))) % 0.42/0.75 (define @t38 () (@var "V_c" $$unsorted)) % 0.42/0.75 (define @t39 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t38 @t1)) % 0.42/0.75 (define @t40 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t38 @t1)) % 0.42/0.75 (define @t41 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t10 @t1)) % 0.42/0.75 (define @t42 () (= (tptp.c_HOL_Oplus__class_Oplus @t41 @t38 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t40 @t39 @t1))) % 0.42/0.75 (define @t43 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.42/0.75 (define @t44 () (@list @t1 @t7 @t10 @t38)) % 0.42/0.75 (define @t45 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t10 @t1)) % 0.42/0.75 (define @t46 () (= (tptp.c_HOL_Oplus__class_Oplus @t7 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t10 @t38 @t1) @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t40 @t1))) % 0.42/0.75 (define @t47 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__join @t1))) % 0.42/0.75 (define @t48 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t24 @t1)) % 0.42/0.75 (define @t49 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t15 @t1)) % 0.42/0.75 (define @t50 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t48 @t1)) % 0.42/0.75 (define @t51 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t24 @t1)) % 0.42/0.75 (define @t52 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t51 @t1)) % 0.42/0.75 (define @t53 () (not (tptp.class_Lattices_Odistrib__lattice @t1))) % 0.42/0.75 (define @t54 () (@list @t1 @t2 @t15 @t24)) % 0.42/0.75 (define @t55 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t2 @t1)) % 0.42/0.75 (define @t56 () (@list @t1 @t15 @t24 @t2)) % 0.42/0.75 (define @t57 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.42/0.75 (define @t58 () (tptp.c_Orderings_Oord__class_Omin @t2 @t15 @t1)) % 0.42/0.75 (define @t59 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.42/0.75 (define @t60 () (tptp.c_HOL_Oabs__class_Oabs @t12 @t1)) % 0.42/0.75 (define @t61 () (tptp.c_HOL_Oabs__class_Oabs @t10 @t1)) % 0.42/0.75 (define @t62 () (tptp.c_HOL_Oabs__class_Oabs @t7 @t1)) % 0.42/0.75 (define @t63 () (tptp.c_HOL_Ominus__class_Ominus @t62 @t61 @t1)) % 0.42/0.75 (define @t64 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add__abs @t1))) % 0.42/0.75 (define @t65 () (not @t34)) % 0.42/0.75 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t24 @t58 @t1)) % 0.42/0.75 (define @t67 () (not @t27)) % 0.42/0.75 (define @t68 () (tptp.c_Orderings_Oord__class_Omax @t2 @t15 @t1)) % 0.42/0.75 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t68 @t24 @t1)) % 0.42/0.75 (define @t70 () (tptp.c_Orderings_Oord__class_Omin @t2 @t24 @t1)) % 0.42/0.75 (define @t71 () (tptp.c_Orderings_Oord__class_Omax @t58 @t70 @t1)) % 0.42/0.75 (define @t72 () (tptp.c_Orderings_Oord__class_Omax @t15 @t24 @t1)) % 0.42/0.75 (define @t73 () (tptp.c_Orderings_Oord__class_Omin @t2 @t72 @t1)) % 0.42/0.75 (define @t74 () (tptp.c_Orderings_Oord__class_Omin @t15 @t2 @t1)) % 0.42/0.75 (define @t75 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t10 @t1)) % 0.42/0.75 (define @t76 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 0.42/0.75 (define @t77 () (not (tptp.class_Lattices_Obounded__lattice @t1))) % 0.42/0.75 (define @t78 () (tptp.c_HOL_Oord__class_Oless @t62 @t10 @t1)) % 0.42/0.75 (define @t79 () (not @t78)) % 0.42/0.75 (define @t80 () (tptp.c_HOL_Ouminus__class_Ouminus @t7 @t1)) % 0.42/0.75 (define @t81 () (tptp.c_HOL_Oord__class_Oless @t80 @t10 @t1)) % 0.42/0.75 (define @t82 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.42/0.75 (define @t83 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t24 @t1)) % 0.42/0.75 (define @t84 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t83 @t1)) % 0.42/0.75 (define @t85 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t49 @t24 @t1) @t84)) % 0.42/0.75 (define @t86 () (not (tptp.class_Lattices_Olattice @t1))) % 0.42/0.75 (define @t87 () (= @t84 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t15 @t48 @t1))) % 0.42/0.75 (define @t88 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.42/0.75 (define @t89 () (tptp.c_HOL_Ouminus__class_Ouminus @t10 @t1)) % 0.42/0.75 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t89 @t80 @t1)) % 0.42/0.75 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t7 @t10 @t1)) % 0.42/0.75 (define @t92 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.42/0.75 (define @t93 () (not @t91)) % 0.42/0.75 (define @t94 () (@list @t1 @t10 @t7)) % 0.42/0.75 (define @t95 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__abs @t1))) % 0.42/0.75 (define @t96 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 0.42/0.75 (define @t97 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t24 @t1)) % 0.42/0.75 (define @t98 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t15 @t1)) % 0.42/0.75 (define @t99 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t98 @t97 @t1)) % 0.42/0.75 (define @t100 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t83 @t1)) % 0.42/0.75 (define @t101 () (@list @t1 @t7 @t38 @t10)) % 0.42/0.75 (define @t102 () (= @t7 @t10)) % 0.42/0.75 (define @t103 () (= @t2 @t15)) % 0.42/0.75 (define @t104 () (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t1)) % 0.42/0.75 (define @t105 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.42/0.75 (define @t106 () (@list @t1 @t15 @t2)) % 0.42/0.75 (define @t107 () (@var "V_d" $$unsorted)) % 0.42/0.75 (define @t108 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t107 @t1)) % 0.42/0.75 (define @t109 () (tptp.c_HOL_Ominus__class_Ominus @t7 @t38 @t1)) % 0.42/0.75 (define @t110 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t107 @t1)) % 0.42/0.75 (define @t111 () (tptp.c_HOL_Ominus__class_Ominus @t45 @t110 @t1)) % 0.42/0.75 (define @t112 () (@list @t1 @t7 @t10 @t38 @t107)) % 0.42/0.75 (define @t113 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t39 @t1)) % 0.42/0.75 (define @t114 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.42/0.75 (define @t115 () (tptp.c_HOL_Oplus__class_Oplus @t45 @t38 @t1)) % 0.42/0.75 (define @t116 () (= @t115 @t113)) % 0.42/0.75 (define @t117 () (tptp.c_HOL_Oplus__class_Oplus @t15 @t24 @t1)) % 0.42/0.75 (define @t118 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t117 @t1)) % 0.42/0.75 (define @t119 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.42/0.75 (define @t120 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t24 @t1)) % 0.42/0.75 (define @t121 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.42/0.75 (define @t122 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t110 @t1)) % 0.42/0.75 (define @t123 () (@list @t1 @t7 @t38 @t107)) % 0.42/0.75 (define @t124 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t61 @t1)) % 0.42/0.75 (define @t125 () (@var "V_P" $$unsorted)) % 0.42/0.75 (define @t126 () (@var "V_y_H" $$unsorted)) % 0.42/0.75 (define @t127 () (@var "V_x_H" $$unsorted)) % 0.42/0.75 (define @t128 () (tptp.c_HOL_Ominus__class_Ominus @t127 @t126 @t1)) % 0.42/0.75 (define @t129 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t1)) % 0.42/0.75 (define @t130 () (@var "V_xa" $$unsorted)) % 0.42/0.75 (define @t131 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t15 @t1)) % 0.42/0.75 (define @t132 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t51 @t1)) % 0.42/0.75 (define @t133 () (= @t132 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t97 @t1))) % 0.42/0.75 (define @t134 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t98 @t24 @t1) @t132)) % 0.42/0.75 (define @t135 () (not @t69)) % 0.42/0.75 (define @t136 () (tptp.c_HOL_Oord__class_Oless @t24 @t68 @t1)) % 0.42/0.75 (define @t137 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t10 @t1))) % 0.42/0.75 (define @t138 () (tptp.c_Orderings_Oord__class_Omax @t7 @t10 @t1)) % 0.42/0.75 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t2 @t138 @t1)) % 0.42/0.75 (define @t140 () (@list @t1 @t2 @t7 @t10)) % 0.42/0.75 (define @t141 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t7 @t1))) % 0.42/0.75 (define @t142 () (= @t49 @t55)) % 0.42/0.75 (define @t143 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t107 @t1)) % 0.42/0.75 (define @t144 () (@list @t1 @t7 @t38 @t10 @t107)) % 0.42/0.75 (define @t145 () (tptp.c_HOL_Oord__class_Oless @t58 @t24 @t1)) % 0.42/0.75 (define @t146 () (not @t66)) % 0.42/0.75 (define @t147 () (@list @t1 @t24 @t15 @t2)) % 0.42/0.75 (define @t148 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t2 @t1))) % 0.42/0.75 (define @t149 () (tptp.c_Orderings_Oord__class_Omin @t7 @t10 @t1)) % 0.42/0.75 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t149 @t2 @t1)) % 0.42/0.75 (define @t151 () (@list @t1 @t7 @t10 @t2)) % 0.42/0.75 (define @t152 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t2 @t1))) % 0.42/0.75 (define @t153 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oabs__class_Oabs (tptp.c_HOL_Ominus__class_Ominus @t2 @t7 @t1) @t1) @t20 @t1)) % 0.42/0.75 (define @t154 () (not @t153)) % 0.42/0.75 (define @t155 () (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t7 @t20 @t1) @t2 @t1)) % 0.42/0.75 (define @t156 () (@var "V_B" $$unsorted)) % 0.42/0.75 (define @t157 () (@var "V_A" $$unsorted)) % 0.42/0.75 (define @t158 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t157 @t156 @t1) @t76))) % 0.42/0.75 (define @t159 () (@list @t1 @t157 @t156)) % 0.42/0.75 (define @t160 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t80 @t89 @t1)) % 0.42/0.75 (define @t161 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t15 @t2 @t1)) % 0.42/0.75 (define @t162 () (= @t98 @t161)) % 0.42/0.75 (define @t163 () (tptp.c_HOL_Ouminus__class_Ouminus @t24 @t1)) % 0.42/0.75 (define @t164 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t98 @t1) @t98)) % 0.42/0.75 (define @t165 () (tptp.c_NthRoot_Osqrt @t15)) % 0.42/0.75 (define @t166 () (tptp.c_NthRoot_Osqrt @t2)) % 0.42/0.75 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t166 @t165 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t2 @t15 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t169 () (@list @t2 @t15)) % 0.42/0.75 (define @t170 () (not @t168)) % 0.42/0.75 (define @t171 () (tptp.c_Orderings_Oord__class_Omax @t2 @t24 @t1)) % 0.42/0.75 (define @t172 () (tptp.c_Orderings_Oord__class_Omax @t2 @t72 @t1)) % 0.42/0.75 (define @t173 () (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_HOL_Oplus__class_Oplus @t7 @t20 @t1) @t1)) % 0.42/0.75 (define @t174 () (@list @t1 @t2 @t7 @t20)) % 0.42/0.75 (define @t175 () (tptp.c_HOL_Ouminus__class_Ouminus @t89 @t1)) % 0.42/0.75 (define @t176 () (@list @t1 @t10)) % 0.42/0.75 (define @t177 () (tptp.c_HOL_Ouminus__class_Ouminus @t80 @t1)) % 0.42/0.75 (define @t178 () (tptp.c_HOL_Ouminus__class_Ouminus @t12 @t1)) % 0.42/0.75 (define @t179 () (not (tptp.c_lessequals @t38 @t107 @t1))) % 0.42/0.75 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t40 @t143 @t1)) % 0.42/0.75 (define @t181 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.42/0.75 (define @t182 () (tptp.c_lessequals @t7 @t10 @t1)) % 0.42/0.75 (define @t183 () (not @t182)) % 0.42/0.75 (define @t184 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t107 @t1))) % 0.42/0.75 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t89 @t7 @t1)) % 0.42/0.75 (define @t186 () (not @t81)) % 0.42/0.75 (define @t187 () (tptp.c_HOL_Oord__class_Oless @t10 @t80 @t1)) % 0.42/0.75 (define @t188 () (tptp.c_HOL_Oord__class_Oless @t7 @t89 @t1)) % 0.42/0.75 (define @t189 () (tptp.c_lessequals @t24 @t15 @t1)) % 0.42/0.75 (define @t190 () (not @t189)) % 0.42/0.75 (define @t191 () (tptp.c_lessequals @t15 @t2 @t1)) % 0.42/0.75 (define @t192 () (not @t191)) % 0.42/0.75 (define @t193 () (tptp.c_lessequals @t15 @t24 @t1)) % 0.42/0.75 (define @t194 () (not @t193)) % 0.42/0.75 (define @t195 () (tptp.c_lessequals @t2 @t15 @t1)) % 0.42/0.75 (define @t196 () (not @t195)) % 0.42/0.75 (define @t197 () (= @t98 @t15)) % 0.42/0.75 (define @t198 () (tptp.c_lessequals @t68 @t24 @t1)) % 0.42/0.75 (define @t199 () (not @t198)) % 0.42/0.75 (define @t200 () (tptp.c_lessequals @t2 @t24 @t1)) % 0.42/0.75 (define @t201 () (tptp.c_lessequals @t24 @t68 @t1)) % 0.42/0.75 (define @t202 () (tptp.c_lessequals @t24 @t2 @t1)) % 0.42/0.75 (define @t203 () (not @t202)) % 0.42/0.75 (define @t204 () (tptp.c_lessequals @t2 @t10 @t1)) % 0.42/0.75 (define @t205 () (not @t204)) % 0.42/0.75 (define @t206 () (tptp.c_lessequals @t2 @t138 @t1)) % 0.42/0.75 (define @t207 () (tptp.c_lessequals @t2 @t7 @t1)) % 0.42/0.75 (define @t208 () (not @t207)) % 0.42/0.75 (define @t209 () (tptp.c_lessequals @t138 @t2 @t1)) % 0.42/0.75 (define @t210 () (not @t209)) % 0.42/0.75 (define @t211 () (tptp.c_lessequals @t10 @t2 @t1)) % 0.42/0.75 (define @t212 () (@list @t1 @t10 @t2 @t7)) % 0.42/0.75 (define @t213 () (tptp.c_lessequals @t7 @t2 @t1)) % 0.42/0.75 (define @t214 () (@list @t1 @t7 @t2 @t10)) % 0.42/0.75 (define @t215 () (tptp.c_lessequals @t58 @t24 @t1)) % 0.42/0.75 (define @t216 () (tptp.c_Orderings_Oord__class_Omin @t15 @t24 @t1)) % 0.42/0.75 (define @t217 () (tptp.c_lessequals @t2 @t216 @t1)) % 0.42/0.75 (define @t218 () (not @t217)) % 0.42/0.75 (define @t219 () (not @t200)) % 0.42/0.75 (define @t220 () (not @t211)) % 0.42/0.75 (define @t221 () (tptp.c_lessequals @t149 @t2 @t1)) % 0.42/0.75 (define @t222 () (not @t213)) % 0.42/0.75 (define @t223 () (tptp.c_lessequals @t2 @t149 @t1)) % 0.42/0.75 (define @t224 () (not @t223)) % 0.42/0.75 (define @t225 () (@list @t1 @t2 @t10 @t7)) % 0.42/0.75 (define @t226 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.42/0.75 (define @t227 () (= @t68 @t15)) % 0.42/0.75 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t75 @t2 @t1)) % 0.42/0.75 (define @t229 () (tptp.c_lessequals @t62 @t10 @t1)) % 0.42/0.75 (define @t230 () (not @t229)) % 0.42/0.75 (define @t231 () (tptp.c_lessequals @t80 @t10 @t1)) % 0.42/0.75 (define @t232 () (@list @t1)) % 0.42/0.75 (define @t233 () (tptp.c_Transcendental_Oexp @t15 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t234 () (tptp.c_Transcendental_Oexp @t2 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t235 () (tptp.c_HOL_Oord__class_Oless @t127 @t126 @t1)) % 0.42/0.75 (define @t236 () (not (= @t131 @t128))) % 0.42/0.75 (define @t237 () (@list @t1 @t2 @t15 @t127 @t126)) % 0.42/0.75 (define @t238 () (tptp.c_Orderings_Oord__class_Omin @t68 @t171 @t1)) % 0.42/0.75 (define @t239 () (tptp.c_Orderings_Oord__class_Omax @t2 @t216 @t1)) % 0.42/0.75 (define @t240 () (tptp.c_Orderings_Oord__class_Omax @t15 @t2 @t1)) % 0.42/0.75 (define @t241 () (tptp.c_HOL_Oord__class_Oless @t2 @t41 @t1)) % 0.42/0.75 (define @t242 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.42/0.75 (define @t243 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t80 @t89 @t1)) % 0.42/0.75 (define @t244 () (= @t131 (tptp.c_HOL_Oplus__class_Oplus @t2 @t104 @t1))) % 0.42/0.75 (define @t245 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.42/0.75 (define @t246 () (= @t12 (tptp.c_HOL_Oplus__class_Oplus @t7 @t89 @t1))) % 0.42/0.75 (define @t247 () (not @t231)) % 0.42/0.75 (define @t248 () (= @t10 @t38)) % 0.42/0.75 (define @t249 () (not (= @t45 @t40))) % 0.42/0.75 (define @t250 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.42/0.75 (define @t251 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t7 @t1)) % 0.42/0.75 (define @t252 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t7 @t1)) % 0.42/0.75 (define @t253 () (tptp.c_HOL_Oord__class_Oless @t234 @t233 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t254 () (tptp.c_Orderings_Oord__class_Omin @t2 @t216 @t1)) % 0.42/0.75 (define @t255 () (= (tptp.c_HOL_Oplus__class_Oplus @t75 @t38 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t40 @t39 @t1))) % 0.42/0.75 (define @t256 () (= (tptp.c_HOL_Oplus__class_Oplus @t7 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t38 @t1) @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t45 @t40 @t1))) % 0.42/0.75 (define @t257 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t1))) % 0.42/0.75 (define @t258 () (tptp.c_HOL_Ominus__class_Ominus @t15 @t24 @t1)) % 0.42/0.75 (define @t259 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t24 @t1)) % 0.42/0.75 (define @t260 () (@var "V_u" $$unsorted)) % 0.42/0.75 (define @t261 () (tptp.c_Transcendental_Oarctan @t15)) % 0.42/0.75 (define @t262 () (tptp.c_Transcendental_Oarctan @t2)) % 0.42/0.75 (define @t263 () (@list @t2)) % 0.42/0.75 (define @t264 () (not (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t157 @t156 @t1) @t96))) % 0.42/0.75 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t1)) % 0.42/0.75 (define @t266 () (not @t265)) % 0.42/0.75 (define @t267 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t49 @t1) @t49)) % 0.42/0.75 (define @t268 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t10 @t1)) % 0.42/0.75 (define @t269 () (tptp.c_HOL_Oord__class_Oless @t251 @t268 @t1)) % 0.42/0.75 (define @t270 () (@list @t1 @t38 @t7 @t10)) % 0.42/0.75 (define @t271 () (tptp.c_HOL_Oord__class_Oless @t40 @t39 @t1)) % 0.42/0.75 (define @t272 () (tptp.c_HOL_Ouminus__class_Ouminus @t45 @t1)) % 0.42/0.75 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t10 @t7 @t1)) % 0.42/0.75 (define @t274 () (not @t273)) % 0.42/0.75 (define @t275 () (= @t58 @t2)) % 0.42/0.75 (define @t276 () (tptp.c_lessequals @t98 @t24 @t1)) % 0.42/0.75 (define @t277 () (tptp.c_lessequals @t15 @t98 @t1)) % 0.42/0.75 (define @t278 () (tptp.c_lessequals @t2 @t98 @t1)) % 0.42/0.75 (define @t279 () (tptp.c_lessequals @t41 @t2 @t1)) % 0.42/0.75 (define @t280 () (tptp.c_lessequals @t2 @t83 @t1)) % 0.42/0.75 (define @t281 () (not @t280)) % 0.42/0.75 (define @t282 () (tptp.c_lessequals @t75 @t2 @t1)) % 0.42/0.75 (define @t283 () (tptp.c_lessequals @t2 @t75 @t1)) % 0.42/0.75 (define @t284 () (not @t283)) % 0.42/0.75 (define @t285 () (not (tptp.c_lessequals @t10 @t7 @t1))) % 0.42/0.75 (define @t286 () (tptp.c_lessequals @t126 @t127 @t1)) % 0.42/0.75 (define @t287 () (not @t276)) % 0.42/0.75 (define @t288 () (tptp.c_lessequals @t2 @t41 @t1)) % 0.42/0.75 (define @t289 () (not @t279)) % 0.42/0.75 (define @t290 () (tptp.c_lessequals @t49 @t15 @t1)) % 0.42/0.75 (define @t291 () (tptp.c_lessequals @t49 @t2 @t1)) % 0.42/0.75 (define @t292 () (tptp.c_lessequals @t40 @t39 @t1)) % 0.42/0.75 (define @t293 () (tptp.c_lessequals @t251 @t268 @t1)) % 0.42/0.75 (define @t294 () (tptp.c_lessequals @t89 @t80 @t1)) % 0.42/0.75 (define @t295 () (tptp.c_lessequals @t2 @t2 @t1)) % 0.42/0.75 (define @t296 () (= @t49 @t2)) % 0.42/0.75 (define @t297 () (tptp.c_lessequals @t89 @t7 @t1)) % 0.42/0.75 (define @t298 () (tptp.c_lessequals @t10 @t80 @t1)) % 0.42/0.75 (define @t299 () (tptp.c_lessequals @t7 @t89 @t1)) % 0.42/0.75 (define @t300 () (tptp.c_lessequals @t2 @t15 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t301 () (tptp.c_lessequals @t166 @t165 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t302 () (not @t300)) % 0.42/0.75 (define @t303 () (tptp.c_lessequals @t234 @t233 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t304 () (not (tptp.hBOOL (tptp.hAPP tptp.v_P @t2)))) % 0.42/0.75 (define @t305 () (@var "V_w" $$unsorted)) % 0.42/0.75 (define @t306 () (tptp.c_lessequals @t24 @t305 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t307 () (tptp.c_lessequals @t305 @t24 tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t308 () (@var "V_j" $$unsorted)) % 0.42/0.75 (define @t309 () (@var "V_i" $$unsorted)) % 0.42/0.75 (define @t310 () (@var "V_k" $$unsorted)) % 0.42/0.75 (define @t311 () (tptp.hBOOL (tptp.hAPP tptp.v_P tptp.v_xa))) % 0.42/0.75 (define @t312 () (tptp.c_lessequals tptp.v_xa tptp.v_Y____ tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t313 () (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t314 () (tptp.c_HOL_Oord__class_Oless tptp.v_xa tptp.v_Y____ tptp.tc_RealDef_Oreal)) % 0.42/0.75 (define @t315 () (not @t314)) % 0.42/0.75 (define @t316 () (not @t313)) % 0.42/0.75 (define @t317 () (or @t316 @t312 @t315)) % 0.42/0.75 (define @t318 () (@list true false false)) % 0.42/0.75 (define @t319 () (not @t311)) % 0.42/0.75 (define @t320 () (or @t314 @t319)) % 0.42/0.75 (assume @p1 (forall @t6 (or @t5 (= (tptp.c_RealVector_Onorm__class_Onorm @t4 @t1) @t3)))) % 0.42/0.75 (assume @p2 (forall @t9 (or @t5 (= (tptp.c_HOL_Oabs__class_Oabs @t8 tptp.tc_RealDef_Oreal) @t8)))) % 0.42/0.75 (assume @p3 (forall @t14 (or @t5 (= @t13 (tptp.c_RealVector_Onorm__class_Onorm @t11 @t1))))) % 0.42/0.75 (assume @p4 (forall @t19 (or @t5 (tptp.c_lessequals @t18 (tptp.c_HOL_Oplus__class_Oplus @t3 @t16 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.42/0.75 (assume @p5 (forall (@list @t1 @t2 @t15 @t20 @t21) (or @t5 (tptp.c_HOL_Oord__class_Oless @t18 (tptp.c_HOL_Oplus__class_Oplus @t20 @t21 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) (not (tptp.c_HOL_Oord__class_Oless @t16 @t21 tptp.tc_RealDef_Oreal)) (not (tptp.c_HOL_Oord__class_Oless @t3 @t20 tptp.tc_RealDef_Oreal))))) % 0.42/0.75 (assume @p6 (forall @t14 (or @t5 (tptp.c_lessequals @t13 (tptp.c_HOL_Oplus__class_Oplus @t8 (tptp.c_RealVector_Onorm__class_Onorm @t10 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.42/0.75 (assume @p7 (forall @t29 (or @t28 @t27 @t26 @t23))) % 0.42/0.75 (assume @p8 (forall @t36 (or @t35 @t34 @t33 @t31))) % 0.42/0.75 (assume @p9 (forall @t6 (or @t37 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t1) @t2)))) % 0.42/0.75 (assume @p10 (forall @t44 (or @t43 @t42))) % 0.42/0.75 (assume @p11 (forall @t44 (or @t43 @t46))) % 0.42/0.75 (assume @p12 (forall @t44 (or @t47 @t46))) % 0.42/0.75 (assume @p13 (forall @t44 (or @t47 @t42))) % 0.42/0.75 (assume @p14 (forall @t54 (or @t53 (= @t52 @t50)))) % 0.42/0.75 (assume @p15 (forall @t56 (or @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t2 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t55 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t24 @t2 @t1) @t1))))) % 0.42/0.75 (assume @p16 (forall @t14 (or @t57 (= (tptp.c_HOL_Oplus__class_Oplus @t12 @t10 @t1) @t7)))) % 0.42/0.75 (assume @p17 (forall @t19 (or @t59 (= (tptp.c_Orderings_Oord__class_Omin @t2 @t58 @t1) @t58)))) % 0.42/0.75 (assume @p18 (forall @t14 (or @t64 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t63 @t1) @t60 @t1)))) % 0.42/0.75 (assume @p19 (forall @t36 (or @t59 @t66 @t33 @t65))) % 0.42/0.75 (assume @p20 (forall @t54 (or @t59 @t69 @t26 @t67))) % 0.42/0.75 (assume @p21 (forall @t54 (or @t59 (= @t73 @t71)))) % 0.42/0.75 (assume @p22 (forall @t56 (or @t59 (= (tptp.c_Orderings_Oord__class_Omin @t72 @t2 @t1) (tptp.c_Orderings_Oord__class_Omax @t74 (tptp.c_Orderings_Oord__class_Omin @t24 @t2 @t1) @t1))))) % 0.42/0.75 (assume @p23 (forall @t14 (or @t43 (= @t45 (tptp.c_HOL_Oplus__class_Oplus @t41 @t75 @t1))))) % 0.42/0.75 (assume @p24 (forall @t6 (or @t77 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t76 @t2 @t1) @t76)))) % 0.42/0.75 (assume @p25 (forall @t6 (or @t77 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t76 @t1) @t76)))) % 0.42/0.75 (assume @p26 (forall @t14 (or @t82 @t81 @t79))) % 0.42/0.75 (assume @p27 (forall @t54 (or @t86 @t85))) % 0.42/0.75 (assume @p28 (forall @t54 (or @t86 @t87))) % 0.42/0.75 (assume @p29 (forall @t54 (or @t88 @t85))) % 0.42/0.75 (assume @p30 (forall @t54 (or @t88 @t87))) % 0.42/0.75 (assume @p31 (forall @t6 (or @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t76 @t2 @t1) @t2)))) % 0.42/0.75 (assume @p32 (forall @t6 (or @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t76 @t1) @t2)))) % 0.42/0.75 (assume @p33 (forall @t14 (or @t92 @t91 (not @t90)))) % 0.42/0.75 (assume @p34 (forall @t94 (or @t92 @t90 @t93))) % 0.42/0.75 (assume @p35 (forall @t9 (or @t95 (= @t62 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t80 @t1))))) % 0.42/0.75 (assume @p36 (forall @t6 (or @t77 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t96 @t2 @t1) @t2)))) % 0.42/0.75 (assume @p37 (forall @t6 (or @t77 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t96 @t1) @t2)))) % 0.42/0.75 (assume @p38 (forall @t54 (or @t86 (tptp.c_lessequals @t100 @t99 @t1)))) % 0.42/0.75 (assume @p39 (forall @t6 (or @t59 (= (tptp.c_Orderings_Oord__class_Omin @t2 @t2 @t1) @t2)))) % 0.42/0.75 (assume @p40 (forall @t101 (or @t95 (tptp.c_lessequals @t7 (tptp.c_HOL_Oplus__class_Oplus @t38 @t61 @t1) @t1) (not (tptp.c_lessequals @t45 @t38 @t1))))) % 0.42/0.75 (assume @p41 (forall @t14 (or @t57 (not (= @t80 @t89)) @t102))) % 0.42/0.75 (assume @p42 (forall @t19 (or @t105 (not (= @t4 @t104)) @t103))) % 0.42/0.75 (assume @p43 (forall @t106 (or @t59 @t30 @t22 @t103))) % 0.42/0.75 (assume @p44 (forall @t106 (or @t59 @t30 @t103 @t22))) % 0.42/0.75 (assume @p45 (forall @t19 (or @t59 @t103 @t22 @t30))) % 0.42/0.75 (assume @p46 (forall @t19 (or @t59 @t103 @t30 @t22))) % 0.42/0.75 (assume @p47 (forall @t106 (or @t82 @t30 @t22 @t103))) % 0.42/0.75 (assume @p48 (forall @t6 (or @t59 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t2 @t1) @t2)))) % 0.42/0.75 (assume @p49 (forall @t19 (or @t86 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t98 @t1) @t2)))) % 0.42/0.75 (assume @p50 (forall @t112 (or @t5 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t111 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_RealVector_Onorm__class_Onorm @t109 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t108 @t1) tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal)))) % 0.42/0.75 (assume @p51 (forall @t44 (or @t114 (= @t113 (tptp.c_HOL_Oplus__class_Oplus @t10 @t40 @t1))))) % 0.42/0.75 (assume @p52 (forall @t44 (or @t114 @t116))) % 0.42/0.75 (assume @p53 (forall @t54 (or @t119 (= @t118 (tptp.c_HOL_Oplus__class_Oplus @t17 @t24 @t1))))) % 0.42/0.75 (assume @p54 (forall @t54 (or @t121 (= @t118 (tptp.c_HOL_Oplus__class_Oplus @t15 @t120 @t1))))) % 0.42/0.75 (assume @p55 (forall @t44 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t116))) % 0.42/0.75 (assume @p56 (forall @t123 (or @t119 (= @t122 (tptp.c_HOL_Oplus__class_Oplus @t40 @t107 @t1))))) % 0.42/0.75 (assume @p57 (forall @t44 (or @t119 (= @t115 (tptp.c_HOL_Oplus__class_Oplus @t40 @t10 @t1))))) % 0.42/0.75 (assume @p58 (forall @t123 (or @t119 (= @t122 (tptp.c_HOL_Oplus__class_Oplus @t38 (tptp.c_HOL_Oplus__class_Oplus @t7 @t107 @t1) @t1))))) % 0.42/0.75 (assume @p59 (forall @t44 (or @t119 @t116))) % 0.42/0.75 (assume @p60 (forall @t14 (or @t64 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t45 @t1) @t124 @t1)))) % 0.42/0.75 (assume @p61 (forall (@list @t125 @t1) (= (tptp.c_COMBI @t125 @t1) @t125))) % 0.42/0.75 (assume @p62 (forall (@list @t1 @t2 @t127 @t126) (or @t121 (not (= @t129 @t128)) (= @t127 @t126)))) % 0.42/0.75 (assume @p63 (forall (@list @t1 @t130 @t15 @t2) (or @t121 (not (= (tptp.c_HOL_Ominus__class_Ominus @t130 @t15 @t1) @t129)) (= @t130 @t15)))) % 0.42/0.75 (assume @p64 (forall @t19 (or @t59 (= (tptp.c_Orderings_Oord__class_Omin @t2 @t68 @t1) @t2)))) % 0.42/0.75 (assume @p65 (forall @t19 (or @t105 (= @t131 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t104 @t1))))) % 0.42/0.75 (assume @p66 (forall @t54 (or @t37 @t133))) % 0.42/0.75 (assume @p67 (forall @t54 (or @t37 @t134))) % 0.42/0.75 (assume @p68 (forall @t54 (or @t86 @t133))) % 0.42/0.75 (assume @p69 (forall @t54 (or @t86 @t134))) % 0.42/0.75 (assume @p70 (forall @t56 (or @t59 @t25 @t135))) % 0.42/0.75 (assume @p71 (forall @t29 (or @t59 @t27 @t135))) % 0.42/0.75 (assume @p72 (forall @t36 (or @t59 @t136 @t33))) % 0.42/0.75 (assume @p73 (forall @t36 (or @t59 @t136 @t65))) % 0.42/0.75 (assume @p74 (forall @t140 (or @t59 @t139 @t137))) % 0.42/0.75 (assume @p75 (forall @t140 (or @t59 @t139 @t141))) % 0.42/0.75 (assume @p76 (forall @t19 (or @t88 @t142))) % 0.42/0.75 (assume @p77 (forall @t19 (or @t86 @t142))) % 0.42/0.75 (assume @p78 (forall @t19 (or @t59 (= @t58 @t74)))) % 0.42/0.75 (assume @p79 (forall @t144 (or @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t40 @t143 @t1) (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Ominus__class_Ominus @t38 @t107 @t1) @t1))))) % 0.42/0.75 (assume @p80 (forall @t54 (or @t59 @t145 @t26))) % 0.42/0.75 (assume @p81 (forall @t54 (or @t59 @t145 @t67))) % 0.42/0.75 (assume @p82 (forall @t147 (or @t59 @t32 @t146))) % 0.42/0.75 (assume @p83 (forall @t36 (or @t59 @t34 @t146))) % 0.42/0.75 (assume @p84 (forall @t151 (or @t59 @t150 @t148))) % 0.42/0.75 (assume @p85 (forall @t151 (or @t59 @t150 @t152))) % 0.42/0.75 (assume @p86 (forall (@list @t1 @t7 @t20 @t2) (or @t82 @t155 @t154))) % 0.42/0.75 (assume @p87 (forall @t159 (or @t77 @t158 (= @t156 @t76)))) % 0.42/0.75 (assume @p88 (forall @t159 (or @t77 @t158 (= @t157 @t76)))) % 0.42/0.75 (assume @p89 (forall @t14 (or @t43 (= @t75 (tptp.c_HOL_Ouminus__class_Ouminus @t160 @t1))))) % 0.42/0.75 (assume @p90 (forall @t19 (or @t37 @t162))) % 0.42/0.75 (assume @p91 (forall @t19 (or @t86 @t162))) % 0.42/0.75 (assume @p92 (forall @t14 (or @t43 (= (tptp.c_HOL_Ouminus__class_Ouminus @t75 @t1) @t160)))) % 0.42/0.75 (assume @p93 (forall @t19 (or @t105 (= (tptp.c_HOL_Ouminus__class_Ouminus @t49 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t104 @t1))))) % 0.42/0.75 (assume @p94 (forall @t54 (or @t121 (not (= @t118 @t15)) (= @t2 @t163)))) % 0.42/0.75 (assume @p95 (forall @t19 (or @t37 @t164))) % 0.42/0.75 (assume @p96 (forall @t19 (or @t86 @t164))) % 0.42/0.75 (assume @p97 (forall @t169 (or @t168 (not @t167)))) % 0.42/0.75 (assume @p98 (forall @t169 (or @t167 @t170))) % 0.42/0.75 (assume @p99 (forall @t54 (or @t59 (= @t172 (tptp.c_Orderings_Oord__class_Omax @t15 @t171 @t1))))) % 0.42/0.75 (assume @p100 (forall @t54 (or @t59 (= (tptp.c_Orderings_Oord__class_Omax @t68 @t24 @t1) @t172)))) % 0.42/0.75 (assume @p101 (forall @t14 (or @t57 (= (tptp.c_HOL_Ominus__class_Ominus @t7 @t89 @t1) @t45)))) % 0.42/0.75 (assume @p102 (forall @t14 (or @t57 (= (tptp.c_HOL_Ominus__class_Ominus @t45 @t10 @t1) @t7)))) % 0.42/0.75 (assume @p103 (forall @t174 (or @t82 @t153 (not @t173) (not @t155)))) % 0.42/0.75 (assume @p104 (forall @t176 (or @t57 (= @t175 @t10)))) % 0.42/0.75 (assume @p105 (forall @t9 (or @t57 (= @t7 @t177)))) % 0.42/0.75 (assume @p106 (forall @t176 (or @t57 (= @t10 @t175)))) % 0.42/0.75 (assume @p107 (forall @t6 (or @t105 (= (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t1) @t2)))) % 0.42/0.75 (assume @p108 (forall @t9 (or @t57 (= @t177 @t7)))) % 0.42/0.75 (assume @p109 (forall @t14 (or @t121 (= @t178 @t11)))) % 0.42/0.75 (assume @p110 (forall @t144 (or @t181 @t180 @t179 @t93))) % 0.42/0.75 (assume @p111 (forall @t144 (or @t181 @t180 @t184 @t183))) % 0.42/0.75 (assume @p112 (forall @t14 (or @t92 @t81 (not @t185)))) % 0.42/0.75 (assume @p113 (forall @t94 (or @t92 @t185 @t186))) % 0.42/0.75 (assume @p114 (forall @t14 (or @t92 @t188 (not @t187)))) % 0.42/0.75 (assume @p115 (forall @t94 (or @t92 @t187 (not @t188)))) % 0.42/0.75 (assume @p116 (forall @t36 (or @t35 @t34 @t190 @t31))) % 0.42/0.75 (assume @p117 (forall @t36 (or @t35 @t34 @t33 @t192))) % 0.42/0.75 (assume @p118 (forall (@list @t1 @t7 @t10 @t107 @t38) (or @t92 (tptp.c_lessequals @t7 @t143 @t1) @t179 (not (tptp.c_lessequals @t7 @t39 @t1))))) % 0.42/0.75 (assume @p119 (forall @t29 (or @t28 @t27 @t194 @t23))) % 0.42/0.75 (assume @p120 (forall @t29 (or @t28 @t27 @t26 @t196))) % 0.42/0.75 (assume @p121 (forall @t19 (or @t37 (= @t98 @t2) @t192))) % 0.42/0.75 (assume @p122 (forall @t19 (or @t37 (not @t197) @t195))) % 0.42/0.75 (assume @p123 (forall @t19 (or @t37 @t197 @t196))) % 0.42/0.75 (assume @p124 (forall @t19 (or @t28 @t195 @t23))) % 0.42/0.75 (assume @p125 (forall @t19 (or @t35 @t195 @t23))) % 0.42/0.75 (assume @p126 (forall @t19 (or @t28 @t22 @t191 @t196))) % 0.42/0.75 (assume @p127 (forall @t56 (or @t59 @t193 @t199))) % 0.42/0.75 (assume @p128 (forall @t29 (or @t59 @t200 @t199))) % 0.42/0.75 (assume @p129 (forall @t36 (or @t59 @t201 @t190))) % 0.42/0.75 (assume @p130 (forall @t36 (or @t59 @t201 @t203))) % 0.42/0.75 (assume @p131 (forall @t140 (or @t59 @t206 @t205))) % 0.42/0.75 (assume @p132 (forall @t140 (or @t59 @t206 @t208))) % 0.42/0.75 (assume @p133 (forall @t212 (or @t59 @t211 @t210))) % 0.42/0.75 (assume @p134 (forall @t214 (or @t59 @t213 @t210))) % 0.42/0.75 (assume @p135 (forall @t56 (or @t59 @t193 @t200 (not @t215)))) % 0.42/0.75 (assume @p136 (forall @t9 (or @t64 (tptp.c_lessequals @t7 @t62 @t1)))) % 0.42/0.75 (assume @p137 (forall @t29 (or @t59 @t200 @t218))) % 0.42/0.75 (assume @p138 (forall @t54 (or @t59 @t195 @t218))) % 0.42/0.75 (assume @p139 (forall @t54 (or @t59 @t215 @t194))) % 0.42/0.75 (assume @p140 (forall @t54 (or @t59 @t215 @t219))) % 0.42/0.75 (assume @p141 (forall @t151 (or @t59 @t221 @t220))) % 0.42/0.75 (assume @p142 (forall @t151 (or @t59 @t221 @t222))) % 0.42/0.75 (assume @p143 (forall @t225 (or @t59 @t204 @t224))) % 0.42/0.75 (assume @p144 (forall @t140 (or @t59 @t207 @t224))) % 0.42/0.75 (assume @p145 (forall @t147 (or @t59 @t189 @t202 (not @t201)))) % 0.42/0.75 (assume @p146 (forall @t144 (or @t226 (tptp.c_lessequals @t40 @t143 @t1) @t179 @t183))) % 0.42/0.75 (assume @p147 (forall @t19 (or @t59 (= @t68 @t2) @t192))) % 0.42/0.75 (assume @p148 (forall @t19 (or @t59 (not @t227) @t195))) % 0.42/0.75 (assume @p149 (forall @t19 (or @t59 @t227 @t196))) % 0.42/0.75 (assume @p150 (forall @t19 (or @t59 (= @t58 @t15) @t192))) % 0.42/0.75 (assume @p151 (forall @t151 (or @t88 @t228 @t152))) % 0.42/0.75 (assume @p152 (forall @t151 (or @t88 @t228 @t148))) % 0.42/0.75 (assume @p153 (forall @t14 (or @t82 @t78 @t186 @t93))) % 0.42/0.75 (assume @p154 (forall @t14 (or @t64 @t231 @t230))) % 0.42/0.75 (assume @p155 (forall @t14 (or @t57 (= (tptp.c_HOL_Oplus__class_Oplus @t7 (tptp.c_HOL_Oplus__class_Oplus @t80 @t10 @t1) @t1) @t10)))) % 0.42/0.75 (assume @p156 (forall @t54 (or @t53 (= @t100 @t99)))) % 0.42/0.75 (assume @p157 (forall @t56 (or @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t83 @t2 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t161 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t24 @t2 @t1) @t1))))) % 0.42/0.75 (assume @p158 (forall @t232 (or @t105 (= (tptp.c_HOL_Ouminus__class_Ouminus @t76 @t1) @t96)))) % 0.42/0.75 (assume @p159 (forall @t169 (or (not (= @t166 @t165)) @t103))) % 0.42/0.75 (assume @p160 (forall @t169 (or (not (= @t234 @t233)) @t103))) % 0.42/0.75 (assume @p161 (forall @t237 (or @t92 @t236 @t22 (not @t235)))) % 0.42/0.75 (assume @p162 (forall @t237 (or @t92 @t236 @t235 @t23))) % 0.42/0.75 (assume @p163 (forall @t54 (or @t59 (= @t239 @t238)))) % 0.42/0.75 (assume @p164 (forall @t56 (or @t59 (= (tptp.c_Orderings_Oord__class_Omax @t216 @t2 @t1) (tptp.c_Orderings_Oord__class_Omin @t240 (tptp.c_Orderings_Oord__class_Omax @t24 @t2 @t1) @t1))))) % 0.42/0.75 (assume @p165 (forall @t14 (or @t64 (tptp.c_lessequals @t63 @t60 @t1)))) % 0.42/0.75 (assume @p166 (forall @t140 (or @t37 @t241 @t141))) % 0.42/0.75 (assume @p167 (forall @t140 (or @t37 @t241 @t137))) % 0.42/0.75 (assume @p168 (forall @t14 (or @t64 (= @t60 (tptp.c_HOL_Oabs__class_Oabs @t11 @t1))))) % 0.42/0.75 (assume @p169 (forall @t19 (or @t59 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t68 @t1) @t68)))) % 0.42/0.75 (assume @p170 (forall @t54 (or @t242 (= (tptp.c_HOL_Oplus__class_Oplus @t68 @t24 @t1) (tptp.c_Orderings_Oord__class_Omax @t120 @t117 @t1))))) % 0.42/0.75 (assume @p171 (forall @t19 (or @t59 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t58 @t1) @t2)))) % 0.42/0.75 (assume @p172 (forall @t19 (or @t105 (= (tptp.c_HOL_Ouminus__class_Ouminus @t98 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t104 @t1))))) % 0.42/0.75 (assume @p173 (forall @t14 (or @t43 (= (tptp.c_HOL_Ouminus__class_Ouminus @t41 @t1) @t243)))) % 0.42/0.75 (assume @p174 (forall @t54 (or @t59 (tptp.c_lessequals @t71 @t73 @t1)))) % 0.42/0.75 (assume @p175 (forall @t19 (or @t59 (= @t68 @t240)))) % 0.42/0.75 (assume @p176 (forall @t112 (or @t119 (= (tptp.c_HOL_Oplus__class_Oplus @t45 @t110 @t1) (tptp.c_HOL_Oplus__class_Oplus @t40 @t143 @t1))))) % 0.42/0.75 (assume @p177 (forall @t19 (or @t121 @t244))) % 0.42/0.75 (assume @p178 (forall @t19 (or @t245 @t244))) % 0.42/0.75 (assume @p179 (forall @t14 (or @t57 @t246))) % 0.42/0.75 (assume @p180 (forall @t14 (or @t121 @t246))) % 0.42/0.75 (assume @p181 (forall @t54 (or @t242 (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t24 @t1) (tptp.c_Orderings_Oord__class_Omin @t120 @t117 @t1))))) % 0.42/0.75 (assume @p182 (forall @t14 (or @t64 @t229 @t247 @t183))) % 0.42/0.75 (assume @p183 (forall @t9 (or @t64 (= (tptp.c_HOL_Oabs__class_Oabs @t80 @t1) @t62)))) % 0.42/0.75 (assume @p184 (forall @t54 (or (not (tptp.class_Ring__and__Field_Oidom @t1)) @t245 (not (= @t17 @t120)) (= @t15 @t24)))) % 0.42/0.75 (assume @p185 (forall @t44 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t249 @t248))) % 0.42/0.75 (assume @p186 (forall @t44 (or @t250 @t249 @t248))) % 0.42/0.75 (assume @p187 (forall (@list @t1 @t10 @t7 @t38) (or @t250 (not (= @t252 @t251)) @t248))) % 0.42/0.75 (assume @p188 (forall @t169 (or @t253 @t170))) % 0.42/0.75 (assume @p189 (forall @t169 (or @t168 (not @t253)))) % 0.42/0.75 (assume @p190 (forall @t6 (or @t105 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t2 @t1) @t96)))) % 0.42/0.75 (assume @p191 (forall @t6 (or @t105 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t4 @t1) @t96)))) % 0.42/0.75 (assume @p192 (forall @t19 (or @t105 (not (= @t98 @t96)) (not (= @t49 @t76)) (= @t4 @t15)))) % 0.42/0.75 (assume @p193 (forall @t54 (or @t86 (tptp.c_lessequals @t50 @t52 @t1)))) % 0.42/0.75 (assume @p194 (forall @t54 (or @t59 (= (tptp.c_Orderings_Oord__class_Omin @t58 @t24 @t1) @t254)))) % 0.42/0.75 (assume @p195 (forall @t54 (or @t59 (= @t254 (tptp.c_Orderings_Oord__class_Omin @t15 @t70 @t1))))) % 0.42/0.75 (assume @p196 (forall @t44 (or @t43 @t255))) % 0.42/0.75 (assume @p197 (forall @t44 (or @t43 @t256))) % 0.42/0.75 (assume @p198 (forall @t44 (or @t257 @t256))) % 0.42/0.75 (assume @p199 (forall @t44 (or @t257 @t255))) % 0.42/0.75 (assume @p200 (forall @t54 (or @t92 (= (tptp.c_HOL_Ominus__class_Ominus @t68 @t24 @t1) (tptp.c_Orderings_Oord__class_Omax @t259 @t258 @t1))))) % 0.42/0.75 (assume @p201 (forall (@list @t1 @t2 @t15 @t24 @t260) (or @t121 (not (= @t118 (tptp.c_HOL_Oplus__class_Oplus @t15 @t260 @t1))) (= @t120 @t260)))) % 0.42/0.75 (assume @p202 (forall @t112 (or @t64 (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t111 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Oabs__class_Oabs @t109 @t1) (tptp.c_HOL_Oabs__class_Oabs @t108 @t1) @t1) @t1)))) % 0.42/0.75 (assume @p203 (forall @t169 (or (tptp.c_HOL_Oord__class_Oless @t262 @t261 tptp.tc_RealDef_Oreal) @t170))) % 0.42/0.75 (assume @p204 (forall @t54 (or @t92 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t24 @t1) (tptp.c_Orderings_Oord__class_Omin @t259 @t258 @t1))))) % 0.42/0.75 (assume @p205 (forall @t6 (or @t105 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t2 @t1) @t76)))) % 0.42/0.75 (assume @p206 (forall @t6 (or @t105 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t4 @t1) @t76)))) % 0.42/0.75 (assume @p207 (forall @t9 (or @t64 (= (tptp.c_HOL_Oabs__class_Oabs @t62 @t1) @t62)))) % 0.42/0.75 (assume @p208 (forall @t6 (or @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t96 @t2 @t1) @t96)))) % 0.42/0.75 (assume @p209 (forall @t6 (or @t77 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t96 @t1) @t96)))) % 0.42/0.75 (assume @p210 (forall (@list @t1 @t7 @t38) (or @t119 (= @t40 @t251)))) % 0.42/0.75 (assume @p211 (forall @t19 (or @t119 (= @t17 (tptp.c_HOL_Oplus__class_Oplus @t15 @t2 @t1))))) % 0.42/0.75 (assume @p212 (forall @t14 (or @t114 (= @t45 @t252)))) % 0.42/0.75 (assume @p213 (forall @t9 (or @t64 (tptp.c_lessequals @t80 @t62 @t1)))) % 0.42/0.75 (assume @p214 (forall @t147 (or @t59 @t32 @t34 (not @t136)))) % 0.42/0.75 (assume @p215 (forall @t14 (or @t82 @t91 @t79))) % 0.42/0.75 (assume @p216 (forall @t56 (or @t59 @t25 @t27 (not @t145)))) % 0.42/0.75 (assume @p217 (forall @t263 (= (tptp.c_HOL_Oabs__class_Oabs @t234 tptp.tc_RealDef_Oreal) @t234))) % 0.42/0.75 (assume @p218 (forall @t159 (or @t77 @t264 (= @t157 @t96)))) % 0.42/0.75 (assume @p219 (forall @t159 (or @t77 @t264 (= @t156 @t96)))) % 0.42/0.75 (assume @p220 (forall @t232 (or @t105 (= (tptp.c_HOL_Ouminus__class_Ouminus @t96 @t1) @t76)))) % 0.42/0.75 (assume @p221 (forall @t6 (or @t59 @t266))) % 0.42/0.75 (assume @p222 (forall @t6 (or @t35 @t266))) % 0.42/0.75 (assume @p223 (forall @t263 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_RealDef_Oreal)))) % 0.42/0.75 (assume @p224 (forall @t6 (or @t28 @t266))) % 0.42/0.75 (assume @p225 (forall @t19 (or @t86 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t49 @t1) @t2)))) % 0.42/0.75 (assume @p226 (forall @t144 (or @t181 @t180 @t184 @t93))) % 0.42/0.75 (assume @p227 (forall (@list @t1 @t24 @t15) (or @t121 (= (tptp.c_HOL_Oplus__class_Oplus @t163 @t117 @t1) @t15)))) % 0.42/0.75 (assume @p228 (forall @t14 (or @t57 (= (tptp.c_HOL_Oplus__class_Oplus @t80 @t45 @t1) @t10)))) % 0.42/0.75 (assume @p229 (forall @t14 (or @t64 (tptp.c_lessequals @t60 @t124 @t1)))) % 0.42/0.75 (assume @p230 (forall @t19 (or @t86 @t267))) % 0.42/0.75 (assume @p231 (forall @t19 (or @t88 @t267))) % 0.42/0.75 (assume @p232 (forall @t14 (or @t121 (= (tptp.c_HOL_Ominus__class_Ominus @t80 @t89 @t1) @t178)))) % 0.42/0.76 (assume @p233 (forall @t14 (or @t64 (= (tptp.c_HOL_Oabs__class_Oabs @t124 @t1) @t124)))) % 0.42/0.76 (assume @p234 (forall @t6 (or @t88 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t1) @t2)))) % 0.42/0.76 (assume @p235 (forall @t44 (or @t242 @t91 (not @t269)))) % 0.42/0.76 (assume @p236 (forall @t270 (or @t242 @t269 @t93))) % 0.42/0.76 (assume @p237 (forall @t270 (or @t181 @t269 @t93))) % 0.42/0.76 (assume @p238 (forall @t44 (or @t242 @t91 (not @t271)))) % 0.42/0.76 (assume @p239 (forall @t101 (or @t242 @t271 @t93))) % 0.42/0.76 (assume @p240 (forall @t101 (or @t181 @t271 @t93))) % 0.42/0.76 (assume @p241 (forall @t174 (or @t82 @t173 @t154))) % 0.42/0.76 (assume @p242 (forall @t54 (or @t59 (tptp.c_lessequals @t239 @t238 @t1)))) % 0.42/0.76 (assume @p243 (forall @t14 (or @t43 (= @t41 (tptp.c_HOL_Ouminus__class_Ouminus @t243 @t1))))) % 0.42/0.76 (assume @p244 (forall @t14 (or @t57 (= @t272 (tptp.c_HOL_Oplus__class_Oplus @t89 @t80 @t1))))) % 0.42/0.76 (assume @p245 (forall @t14 (or @t121 (= @t272 (tptp.c_HOL_Oplus__class_Oplus @t80 @t89 @t1))))) % 0.42/0.76 (assume @p246 (forall @t94 (or @t28 @t274 @t93))) % 0.42/0.76 (assume @p247 (forall @t106 (or @t28 @t31 @t23))) % 0.42/0.76 (assume @p248 (forall @t19 (or @t59 @t23 @t31))) % 0.42/0.76 (assume @p249 (forall @t14 (or @t35 @t93 @t274))) % 0.42/0.76 (assume @p250 (forall @t19 (or @t59 (not @t275) @t195))) % 0.42/0.76 (assume @p251 (forall @t19 (or @t59 @t275 @t196))) % 0.42/0.76 (assume @p252 (forall @t54 (or @t37 @t276 @t194 @t219))) % 0.42/0.76 (assume @p253 (forall @t56 (or @t37 (tptp.c_lessequals @t51 @t2 @t1) @t203 @t192))) % 0.42/0.76 (assume @p254 (forall @t106 (or @t37 @t277))) % 0.42/0.76 (assume @p255 (forall @t19 (or @t37 @t278))) % 0.42/0.76 (assume @p256 (forall @t151 (or @t37 @t279 @t220 @t222))) % 0.42/0.76 (assume @p257 (forall @t106 (or @t86 @t277))) % 0.42/0.76 (assume @p258 (forall @t19 (or @t86 @t278))) % 0.42/0.76 (assume @p259 (forall @t29 (or @t88 @t200 @t281))) % 0.42/0.76 (assume @p260 (forall @t54 (or @t88 @t195 @t281))) % 0.42/0.76 (assume @p261 (forall @t151 (or @t88 @t282 @t220))) % 0.42/0.76 (assume @p262 (forall @t151 (or @t88 @t282 @t222))) % 0.42/0.76 (assume @p263 (forall @t225 (or @t88 @t204 @t284))) % 0.42/0.76 (assume @p264 (forall @t140 (or @t88 @t207 @t284))) % 0.42/0.76 (assume @p265 (forall @t94 (or @t35 @t273 @t102 @t285))) % 0.42/0.76 (assume @p266 (forall @t94 (or @t35 @t273 @t285 @t102))) % 0.42/0.76 (assume @p267 (forall @t19 (or @t59 @t103 @t22 @t196))) % 0.42/0.76 (assume @p268 (forall @t19 (or @t59 @t103 @t196 @t22))) % 0.42/0.76 (assume @p269 (forall @t14 (or @t35 @t91 @t183 @t102))) % 0.42/0.76 (assume @p270 (forall @t14 (or @t35 @t91 @t102 @t183))) % 0.42/0.76 (assume @p271 (forall @t19 (or @t35 @t103 @t22 @t196))) % 0.42/0.76 (assume @p272 (forall @t19 (or @t35 @t22 @t103 @t196))) % 0.42/0.76 (assume @p273 (forall @t237 (or @t92 @t236 @t286 @t192))) % 0.42/0.76 (assume @p274 (forall @t237 (or @t92 @t236 @t191 (not @t286)))) % 0.42/0.76 (assume @p275 (forall @t56 (or @t37 @t193 @t287))) % 0.42/0.76 (assume @p276 (forall @t29 (or @t37 @t200 @t287))) % 0.42/0.76 (assume @p277 (forall @t140 (or @t37 @t288 @t205))) % 0.42/0.76 (assume @p278 (forall @t140 (or @t37 @t288 @t208))) % 0.42/0.76 (assume @p279 (forall @t212 (or @t37 @t211 @t289))) % 0.42/0.76 (assume @p280 (forall @t214 (or @t37 @t213 @t289))) % 0.42/0.76 (assume @p281 (forall @t6 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.c_lessequals @t2 @t96 @t1)))) % 0.42/0.76 (assume @p282 (forall @t54 (or @t88 @t280 @t219 @t196))) % 0.42/0.76 (assume @p283 (forall @t140 (or @t88 @t283 @t205 @t208))) % 0.42/0.76 (assume @p284 (forall @t19 (or @t88 @t290))) % 0.42/0.76 (assume @p285 (forall @t19 (or @t88 @t291))) % 0.42/0.76 (assume @p286 (forall @t19 (or @t86 @t290))) % 0.42/0.76 (assume @p287 (forall @t19 (or @t86 @t291))) % 0.42/0.76 (assume @p288 (forall @t101 (or @t242 @t292 @t183))) % 0.42/0.76 (assume @p289 (forall @t44 (or @t242 @t182 (not @t292)))) % 0.42/0.76 (assume @p290 (forall @t270 (or @t242 @t293 @t183))) % 0.42/0.76 (assume @p291 (forall @t44 (or @t242 @t182 (not @t293)))) % 0.42/0.76 (assume @p292 (forall @t101 (or @t226 @t292 @t183))) % 0.42/0.76 (assume @p293 (forall @t270 (or @t226 @t293 @t183))) % 0.42/0.76 (assume @p294 (forall @t6 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.c_lessequals @t76 @t2 @t1)))) % 0.42/0.76 (assume @p295 (forall @t54 (or @t59 @t198 @t194 @t219))) % 0.42/0.76 (assume @p296 (forall @t56 (or @t59 (tptp.c_lessequals @t72 @t2 @t1) @t203 @t192))) % 0.42/0.76 (assume @p297 (forall @t151 (or @t59 @t209 @t220 @t222))) % 0.42/0.76 (assume @p298 (forall @t19 (or @t59 (tptp.c_lessequals @t2 @t68 @t1)))) % 0.42/0.76 (assume @p299 (forall @t106 (or @t59 (tptp.c_lessequals @t15 @t68 @t1)))) % 0.42/0.76 (assume @p300 (forall @t14 (or @t92 @t182 (not @t294)))) % 0.42/0.76 (assume @p301 (forall @t94 (or @t92 @t294 @t183))) % 0.42/0.76 (assume @p302 (forall @t14 (or @t64 @t182 @t230))) % 0.42/0.76 (assume @p303 (forall @t54 (or @t59 @t217 @t219 @t196))) % 0.42/0.76 (assume @p304 (forall @t140 (or @t59 @t223 @t205 @t208))) % 0.42/0.76 (assume @p305 (forall @t19 (or @t59 (tptp.c_lessequals @t58 @t15 @t1)))) % 0.42/0.76 (assume @p306 (forall @t19 (or @t59 (tptp.c_lessequals @t58 @t2 @t1)))) % 0.42/0.76 (assume @p307 (forall @t106 (or @t28 @t192 @t23))) % 0.42/0.76 (assume @p308 (forall @t19 (or @t59 @t22 @t191))) % 0.42/0.76 (assume @p309 (forall @t6 (or @t59 (not @t295) @t266))) % 0.42/0.76 (assume @p310 (forall @t6 (or @t59 @t265 @t295))) % 0.42/0.76 (assume @p311 (forall @t19 (or @t59 @t23 @t192))) % 0.42/0.76 (assume @p312 (forall @t106 (or @t59 @t191 @t22))) % 0.42/0.76 (assume @p313 (forall @t106 (or @t59 @t30 @t195))) % 0.42/0.76 (assume @p314 (forall @t19 (or @t59 @t196 @t31))) % 0.42/0.76 (assume @p315 (forall @t19 (or @t88 (= @t49 @t15) @t192))) % 0.42/0.76 (assume @p316 (forall @t19 (or @t88 (not @t296) @t195))) % 0.42/0.76 (assume @p317 (forall @t19 (or @t88 @t296 @t196))) % 0.42/0.76 (assume @p318 (forall @t14 (or @t92 @t231 (not @t297)))) % 0.42/0.76 (assume @p319 (forall @t94 (or @t92 @t297 @t247))) % 0.42/0.76 (assume @p320 (forall @t14 (or @t92 @t299 (not @t298)))) % 0.42/0.76 (assume @p321 (forall @t94 (or @t92 @t298 (not @t299)))) % 0.42/0.76 (assume @p322 (forall @t169 (or @t300 @t170))) % 0.42/0.76 (assume @p323 (forall @t169 (or @t300 (not @t301)))) % 0.42/0.76 (assume @p324 (forall @t169 (or @t301 @t302))) % 0.42/0.76 (assume @p325 (forall @t169 (or @t168 @t103 @t302))) % 0.42/0.76 (assume @p326 (forall (@list @t24 @t2 @t15) (or (tptp.c_lessequals (tptp.c_HOL_Oplus__class_Oplus @t24 @t2 tptp.tc_RealDef_Oreal) (tptp.c_HOL_Oplus__class_Oplus @t24 @t15 tptp.tc_RealDef_Oreal) tptp.tc_RealDef_Oreal) @t302))) % 0.42/0.76 (assume @p327 (forall @t169 (or @t303 @t302))) % 0.42/0.76 (assume @p328 (forall @t169 (or @t300 (not @t303)))) % 0.42/0.76 (assume @p329 (forall @t169 (or (tptp.c_lessequals @t262 @t261 tptp.tc_RealDef_Oreal) @t302))) % 0.42/0.76 (assume @p330 (forall (@list @t2 @t20) (or (tptp.c_lessequals @t2 @t20 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals (tptp.c_HOL_Oabs__class_Oabs @t2 tptp.tc_RealDef_Oreal) @t20 tptp.tc_RealDef_Oreal))))) % 0.42/0.76 (assume @p331 (tptp.c_HOL_Oord__class_Oless tptp.v_x____ tptp.v_Y____ tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p332 (tptp.hBOOL (tptp.hAPP tptp.v_P tptp.v_x____))) % 0.42/0.76 (assume @p333 (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P)) % 0.42/0.76 (assume @p334 (forall @t263 (or (tptp.c_lessequals @t2 tptp.v_L____ tptp.tc_RealDef_Oreal) @t304))) % 0.42/0.76 (assume @p335 (forall @t263 (or (tptp.c_HOL_Oord__class_Oless @t2 tptp.v_Y____ tptp.tc_RealDef_Oreal) @t304))) % 0.42/0.76 (assume @p336 (forall (@list @t305 @t24) (or @t307 @t306))) % 0.42/0.76 (assume @p337 (forall @t106 (or @t59 @t191 @t195))) % 0.42/0.76 (assume @p338 (forall @t36 (or @t35 @t202 @t190 @t192))) % 0.42/0.76 (assume @p339 (forall @t29 (or @t28 @t200 @t194 @t196))) % 0.42/0.76 (assume @p340 (forall (@list @t305) (tptp.c_lessequals @t305 @t305 tptp.tc_RealDef_Oreal))) % 0.42/0.76 (assume @p341 (forall (@list @t309 @t310 @t308) (or (tptp.c_lessequals @t309 @t310 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t308 @t310 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t309 @t308 tptp.tc_RealDef_Oreal))))) % 0.42/0.76 (assume @p342 (forall @t6 (or @t35 @t295))) % 0.42/0.76 (assume @p343 (forall @t6 (or @t28 @t295))) % 0.42/0.76 (assume @p344 (forall @t19 (or @t35 @t103 @t196 @t192))) % 0.42/0.76 (assume @p345 (forall @t19 (or @t35 @t103 @t192 @t196))) % 0.42/0.76 (assume @p346 (forall (@list @t24 @t305) (or (= @t24 @t305) (not @t307) (not @t306)))) % 0.42/0.76 (assume @p347 @t311) % 0.42/0.76 (assume @p348 (not @t312)) % 0.42/0.76 (assume @p349 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p350 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p351 (tptp.class_OrderedGroup_Olordered__ab__group__add__meet tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p352 (tptp.class_OrderedGroup_Olordered__ab__group__add__join tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p353 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p354 (tptp.class_OrderedGroup_Opordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p355 (tptp.class_OrderedGroup_Olordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p356 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p357 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p358 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p359 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p360 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p361 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p362 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p363 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p364 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p365 (tptp.class_Lattices_Oupper__semilattice tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p366 (tptp.class_Lattices_Olower__semilattice tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p367 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p368 (tptp.class_Lattices_Odistrib__lattice tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p369 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p370 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p371 @t313) % 0.42/0.76 (assume @p372 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p373 (tptp.class_Lattices_Olattice tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p374 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.42/0.76 (assume @p375 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.42/0.76 (step @p376 :rule instantiate :premises (@p335) :args ((@list tptp.v_xa))) % 0.42/0.76 (step @p377 :rule instantiate :premises (@p124) :args ((@list tptp.tc_RealDef_Oreal tptp.v_xa tptp.v_Y____))) % 0.42/0.76 (step @p378 :rule cnf_or_pos :args (@t317)) % 0.42/0.76 (step @p379 :rule reordering :premises (@p378) :args ((or @t312 @t316 @t315 (not @t317)))) % 0.42/0.76 (step @p380 :rule chain_m_resolution :premises (@p379 @p348 @p371 @p377) :args (@t315 @t318 (@list @t312 @t313 @t317))) % 0.42/0.76 (step @p381 :rule cnf_or_pos :args (@t320)) % 0.42/0.76 (step @p382 :rule reordering :premises (@p381) :args ((or @t319 @t314 (not @t320)))) % 0.42/0.76 (step @p383 false :rule chain_m_resolution :premises (@p382 @p380 @p376 @p347) :args (false @t318 (@list @t314 @t320 @t311))) % 0.42/0.76 ) % 0.42/0.76 % SZS output end Proof % 0.42/0.76 % cvc5 exiting %------------------------------------------------------------------------------