%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV580-1 : 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 : n013.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 09:02:03 AM UTC 2026 % Result : Unsatisfiable 0.48s 0.90s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV580-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 : Tue Jun 2 20:50:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.47/0.63 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.48/0.90 % SZS status Unsatisfiable % 0.48/0.90 % SZS output start Proof % 0.48/0.93 ( % 0.48/0.93 (declare-sort $$unsorted 0) % 0.48/0.93 (declare-const tptp.c_GCD_Ogcd__class_OLCM (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.v_m $$unsorted) % 0.48/0.93 (declare-const tptp.v_n $$unsorted) % 0.48/0.93 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Finite__Set_Ofold1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.t_b $$unsorted) % 0.48/0.93 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Complete__Lattice_Ocomplete__lattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Set_Ocontents (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.v_x $$unsorted) % 0.48/0.93 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_GCD_Ogcd__class_OGCD (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.t_a $$unsorted) % 0.48/0.93 (declare-const tptp.c_The (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.v_f $$unsorted) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__meet (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.tc_bool $$unsorted) % 0.48/0.93 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.v_g $$unsorted) % 0.48/0.93 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.tc_nat $$unsorted) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Collect (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Complete__Lattice_OSup__class_OSup (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Finite__Set_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add__join (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Complete__Lattice_OInf__class_OInf (-> $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_HOL_Ominus (-> $$unsorted Bool)) % 0.48/0.93 (declare-const tptp.c_Finite__Set_Ofold1Set (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.48/0.93 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.48/0.93 (define @t1 () (@var "T_b" $$unsorted)) % 0.48/0.93 (define @t2 () (@var "V_A" $$unsorted)) % 0.48/0.93 (define @t3 () (@var "V_x" $$unsorted)) % 0.48/0.93 (define @t4 () (not (tptp.hBOOL (tptp.c_in @t3 @t2 @t1)))) % 0.48/0.93 (define @t5 () (@var "T_a" $$unsorted)) % 0.48/0.93 (define @t6 () (tptp.tc_fun @t5 tptp.tc_bool)) % 0.48/0.93 (define @t7 () (tptp.c_Orderings_Obot__class_Obot @t6)) % 0.48/0.93 (define @t8 () (@var "V_B" $$unsorted)) % 0.48/0.93 (define @t9 () (tptp.hAPP @t8 @t3)) % 0.48/0.93 (define @t10 () (= @t9 @t7)) % 0.48/0.93 (define @t11 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2 @t8 @t1 @t6)) % 0.48/0.93 (define @t12 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t8 @t6)) % 0.48/0.93 (define @t13 () (@var "V_c" $$unsorted)) % 0.48/0.93 (define @t14 () (tptp.hBOOL (tptp.c_in @t13 @t12 @t5))) % 0.48/0.93 (define @t15 () (not @t14)) % 0.48/0.93 (define @t16 () (tptp.hBOOL (tptp.c_in @t13 @t8 @t5))) % 0.48/0.93 (define @t17 () (not @t16)) % 0.48/0.93 (define @t18 () (@list @t13 @t8 @t5 @t2)) % 0.48/0.93 (define @t19 () (tptp.c_HOL_Ozero__class_Ozero @t5)) % 0.48/0.93 (define @t20 () (@var "V_a" $$unsorted)) % 0.48/0.93 (define @t21 () (= @t20 @t19)) % 0.48/0.93 (define @t22 () (not (tptp.class_Int_Onumber__ring @t5))) % 0.48/0.93 (define @t23 () (not (tptp.class_Ring__and__Field_Oidom @t5))) % 0.48/0.93 (define @t24 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t3 @t5)) % 0.48/0.93 (define @t25 () (= @t24 @t19)) % 0.48/0.93 (define @t26 () (@list @t5 @t3)) % 0.48/0.93 (define @t27 () (not (tptp.class_OrderedGroup_Ogroup__add @t5))) % 0.48/0.93 (define @t28 () (@list @t5 @t20)) % 0.48/0.93 (define @t29 () (not (tptp.class_OrderedGroup_Oab__group__add @t5))) % 0.48/0.93 (define @t30 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t20 @t5)) % 0.48/0.93 (define @t31 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t5))) % 0.48/0.93 (define @t32 () (not (tptp.c_lessequals @t19 @t3 @t5))) % 0.48/0.93 (define @t33 () (@var "V_y" $$unsorted)) % 0.48/0.93 (define @t34 () (not (tptp.c_lessequals @t19 @t33 @t5))) % 0.48/0.93 (define @t35 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t33 @t5)) % 0.48/0.93 (define @t36 () (not (= @t35 @t19))) % 0.48/0.93 (define @t37 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t5))) % 0.48/0.93 (define @t38 () (@list @t5 @t3 @t33)) % 0.48/0.93 (define @t39 () (tptp.c_HOL_Oord__class_Oless @t20 @t19 @t5)) % 0.48/0.93 (define @t40 () (not @t39)) % 0.48/0.93 (define @t41 () (tptp.c_HOL_Oord__class_Oless @t30 @t19 @t5)) % 0.48/0.93 (define @t42 () (not (tptp.class_Ring__and__Field_Oordered__idom @t5))) % 0.48/0.93 (define @t43 () (not @t41)) % 0.48/0.93 (define @t44 () (tptp.hAPP tptp.v_g tptp.v_x)) % 0.48/0.93 (define @t45 () (tptp.hAPP tptp.v_f tptp.v_x)) % 0.48/0.93 (define @t46 () (tptp.tc_fun tptp.t_a tptp.t_b)) % 0.48/0.93 (define @t47 () (not (tptp.class_Lattices_Olattice tptp.t_b))) % 0.48/0.93 (define @t48 () (@var "V_z" $$unsorted)) % 0.48/0.93 (define @t49 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t48 @t5)) % 0.48/0.93 (define @t50 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t49 @t5)) % 0.48/0.93 (define @t51 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t33 @t5)) % 0.48/0.93 (define @t52 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t51 @t48 @t5) @t50)) % 0.48/0.93 (define @t53 () (not (tptp.class_Lattices_Olattice @t5))) % 0.48/0.93 (define @t54 () (@list @t5 @t3 @t33 @t48)) % 0.48/0.93 (define @t55 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t48 @t5)) % 0.48/0.93 (define @t56 () (= @t50 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t55 @t5))) % 0.48/0.93 (define @t57 () (@var "V_C" $$unsorted)) % 0.48/0.93 (define @t58 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t57 @t6)) % 0.48/0.93 (define @t59 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t57 @t6)) % 0.48/0.93 (define @t60 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t59 @t6)) % 0.48/0.93 (define @t61 () (@list @t2 @t8 @t57 @t5)) % 0.48/0.93 (define @t62 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t8 @t6)) % 0.48/0.93 (define @t63 () (@list @t2 @t8 @t5 @t57)) % 0.48/0.93 (define @t64 () (not (tptp.class_Lattices_Olower__semilattice @t5))) % 0.48/0.93 (define @t65 () (@var "V_b" $$unsorted)) % 0.48/0.93 (define @t66 () (not (tptp.c_lessequals @t65 @t19 @t5))) % 0.48/0.93 (define @t67 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t65 @t5)) % 0.48/0.93 (define @t68 () (tptp.c_HOL_Oord__class_Oless @t67 @t19 @t5)) % 0.48/0.93 (define @t69 () (@list @t5 @t20 @t65)) % 0.48/0.93 (define @t70 () (tptp.c_lessequals @t20 @t19 @t5)) % 0.48/0.93 (define @t71 () (not @t70)) % 0.48/0.93 (define @t72 () (not (tptp.c_HOL_Oord__class_Oless @t65 @t19 @t5))) % 0.48/0.93 (define @t73 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t59 @t6)) % 0.48/0.93 (define @t74 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t2 @t6)) % 0.48/0.93 (define @t75 () (@list @t57 @t2 @t8 @t5)) % 0.48/0.93 (define @t76 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t48 @t5)) % 0.48/0.93 (define @t77 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t33 @t5)) % 0.48/0.93 (define @t78 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t77 @t76 @t5)) % 0.48/0.93 (define @t79 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t49 @t5)) % 0.48/0.93 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t65 @t20 @t5)) % 0.48/0.93 (define @t81 () (not @t80)) % 0.48/0.93 (define @t82 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t20 @t65 @t5)) % 0.48/0.93 (define @t83 () (= @t82 @t7)) % 0.48/0.93 (define @t84 () (not (tptp.class_Orderings_Oorder @t5))) % 0.48/0.93 (define @t85 () (tptp.c_lessequals @t3 @t33 @t5)) % 0.48/0.93 (define @t86 () (not @t85)) % 0.48/0.93 (define @t87 () (tptp.c_lessequals @t33 @t3 @t5)) % 0.48/0.93 (define @t88 () (not @t87)) % 0.48/0.93 (define @t89 () (= @t3 @t33)) % 0.48/0.93 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t3 @t33 @t5)) % 0.48/0.93 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t33 @t3 @t5)) % 0.48/0.93 (define @t92 () (not (tptp.class_Orderings_Olinorder @t5))) % 0.48/0.93 (define @t93 () (@list @t5 @t33 @t3)) % 0.48/0.93 (define @t94 () (@var "V_n" $$unsorted)) % 0.48/0.93 (define @t95 () (@var "V_m" $$unsorted)) % 0.48/0.93 (define @t96 () (tptp.c_HOL_Oord__class_Oless @t95 @t94 tptp.tc_nat)) % 0.48/0.93 (define @t97 () (= @t95 @t94)) % 0.48/0.93 (define @t98 () (tptp.c_HOL_Oord__class_Oless @t94 @t95 tptp.tc_nat)) % 0.48/0.93 (define @t99 () (@var "V_P" $$unsorted)) % 0.48/0.93 (define @t100 () (tptp.c_lessequals @t2 @t8 @t6)) % 0.48/0.93 (define @t101 () (not @t100)) % 0.48/0.93 (define @t102 () (not (tptp.c_lessequals @t8 @t2 @t6))) % 0.48/0.93 (define @t103 () (= @t2 @t8)) % 0.48/0.93 (define @t104 () (@list @t2 @t8 @t5)) % 0.48/0.93 (define @t105 () (@list @t94 @t95)) % 0.48/0.93 (define @t106 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t65 @t5)) % 0.48/0.93 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t106 @t3 @t5)) % 0.48/0.93 (define @t108 () (@list @t5 @t20 @t65 @t3)) % 0.48/0.93 (define @t109 () (@var "V_j" $$unsorted)) % 0.48/0.93 (define @t110 () (@var "V_i" $$unsorted)) % 0.48/0.93 (define @t111 () (@var "V_k" $$unsorted)) % 0.48/0.93 (define @t112 () (tptp.c_Suc @t3)) % 0.48/0.93 (define @t113 () (tptp.c_HOL_Oord__class_Oless @t3 @t112 tptp.tc_nat)) % 0.48/0.93 (define @t114 () (@list @t3)) % 0.48/0.93 (define @t115 () (tptp.c_Suc @t94)) % 0.48/0.93 (define @t116 () (@list @t94)) % 0.48/0.93 (define @t117 () (tptp.c_lessequals @t20 @t65 @t5)) % 0.48/0.93 (define @t118 () (not @t117)) % 0.48/0.93 (define @t119 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t65 @t5)) % 0.48/0.93 (define @t120 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t20 @t5)) % 0.48/0.93 (define @t121 () (tptp.c_lessequals @t120 @t119 @t5)) % 0.48/0.93 (define @t122 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t5))) % 0.48/0.93 (define @t123 () (@list @t5 @t13 @t20 @t65)) % 0.48/0.93 (define @t124 () (tptp.c_HOL_Oplus__class_Oplus @t65 @t13 @t5)) % 0.48/0.93 (define @t125 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t13 @t5)) % 0.48/0.93 (define @t126 () (tptp.c_lessequals @t125 @t124 @t5)) % 0.48/0.93 (define @t127 () (@list @t5 @t20 @t13 @t65)) % 0.48/0.93 (define @t128 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t5))) % 0.48/0.93 (define @t129 () (@list @t5 @t20 @t65 @t13)) % 0.48/0.93 (define @t130 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t65 @t5)) % 0.48/0.93 (define @t131 () (tptp.c_lessequals @t65 @t20 @t5)) % 0.48/0.93 (define @t132 () (not @t131)) % 0.48/0.93 (define @t133 () (tptp.c_lessequals @t65 @t125 @t5)) % 0.48/0.93 (define @t134 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t5))) % 0.48/0.93 (define @t135 () (@list @t5 @t65 @t20 @t13)) % 0.48/0.93 (define @t136 () (tptp.c_lessequals @t19 @t20 @t5)) % 0.48/0.93 (define @t137 () (not @t136)) % 0.48/0.93 (define @t138 () (not (tptp.c_lessequals @t65 @t13 @t5))) % 0.48/0.93 (define @t139 () (@var "V_l" $$unsorted)) % 0.48/0.93 (define @t140 () (not (tptp.c_lessequals @t139 @t95 @t5))) % 0.48/0.93 (define @t141 () (@var "V_u" $$unsorted)) % 0.48/0.93 (define @t142 () (not (tptp.c_lessequals @t95 @t141 @t5))) % 0.48/0.93 (define @t143 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t139 @t141 @t5)) % 0.48/0.93 (define @t144 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t95 @t141 @t5)) % 0.48/0.93 (define @t145 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t139 @t95 @t5)) % 0.48/0.93 (define @t146 () (@list @t5 @t139 @t95 @t141)) % 0.48/0.93 (define @t147 () (@var "V_nat_H" $$unsorted)) % 0.48/0.93 (define @t148 () (tptp.c_Suc @t147)) % 0.48/0.93 (define @t149 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.48/0.93 (define @t150 () (@list @t147)) % 0.48/0.93 (define @t151 () (tptp.c_Suc @t95)) % 0.48/0.93 (define @t152 () (@list @t95)) % 0.48/0.93 (define @t153 () (tptp.c_HOL_Oord__class_Oless @t111 @t139 @t5)) % 0.48/0.93 (define @t154 () (tptp.c_SetInterval_Oord__class_OgreaterThanAtMost @t111 @t139 @t5)) % 0.48/0.93 (define @t155 () (= @t154 @t7)) % 0.48/0.93 (define @t156 () (@list @t5 @t111 @t139)) % 0.48/0.93 (define @t157 () (not @t153)) % 0.48/0.93 (define @t158 () (tptp.c_Suc @t149)) % 0.48/0.93 (define @t159 () (= @t94 @t149)) % 0.48/0.93 (define @t160 () (@var "V_M" $$unsorted)) % 0.48/0.93 (define @t161 () (tptp.hBOOL (tptp.c_in @t20 @t2 @t5))) % 0.48/0.93 (define @t162 () (not @t161)) % 0.48/0.93 (define @t163 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.48/0.93 (define @t164 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2 @t8 @t5 @t163)) % 0.48/0.93 (define @t165 () (tptp.hAPP @t8 @t20)) % 0.48/0.93 (define @t166 () (tptp.c_Set_Oinsert @t3 @t8 @t5)) % 0.48/0.93 (define @t167 () (tptp.c_lessequals @t2 @t166 @t6)) % 0.48/0.93 (define @t168 () (not @t167)) % 0.48/0.93 (define @t169 () (tptp.hBOOL (tptp.c_in @t3 @t2 @t5))) % 0.48/0.93 (define @t170 () (not @t169)) % 0.48/0.93 (define @t171 () (tptp.c_Set_Oinsert @t3 @t7 @t5)) % 0.48/0.93 (define @t172 () (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t2 @t171 @t6) @t8 @t6)) % 0.48/0.93 (define @t173 () (not @t172)) % 0.48/0.93 (define @t174 () (@list @t2 @t3 @t8 @t5)) % 0.48/0.93 (define @t175 () (tptp.c_HOL_Ominus__class_Ominus @t20 @t65 @t5)) % 0.48/0.93 (define @t176 () (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t19 @t5) @t19)) % 0.48/0.93 (define @t177 () (not (tptp.c_lessequals @t19 @t19 @t5))) % 0.48/0.93 (define @t178 () (@list @t5)) % 0.48/0.93 (define @t179 () (not @t91)) % 0.48/0.93 (define @t180 () (not (tptp.c_HOL_Oord__class_Oless @t48 @t33 @t5))) % 0.48/0.93 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t48 @t3 @t5)) % 0.48/0.93 (define @t182 () (@list @t5 @t48 @t3 @t33)) % 0.48/0.93 (define @t183 () (not @t90)) % 0.48/0.93 (define @t184 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t48 @t5))) % 0.48/0.93 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t3 @t48 @t5)) % 0.48/0.93 (define @t186 () (not (tptp.class_Orderings_Opreorder @t5))) % 0.48/0.93 (define @t187 () (@list @t5 @t3 @t48 @t33)) % 0.48/0.93 (define @t188 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t124 @t5)) % 0.48/0.93 (define @t189 () (tptp.c_HOL_Oplus__class_Oplus @t67 @t13 @t5)) % 0.48/0.93 (define @t190 () (= @t189 @t188)) % 0.48/0.93 (define @t191 () (tptp.c_HOL_Oplus__class_Oplus @t3 (tptp.c_HOL_Oplus__class_Oplus @t33 @t48 @t5) @t5)) % 0.48/0.93 (define @t192 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t5))) % 0.48/0.93 (define @t193 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t48 @t5)) % 0.48/0.93 (define @t194 () (@var "V_d" $$unsorted)) % 0.48/0.93 (define @t195 () (tptp.c_HOL_Oplus__class_Oplus @t13 @t194 @t5)) % 0.48/0.93 (define @t196 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t195 @t5)) % 0.48/0.93 (define @t197 () (@list @t5 @t20 @t13 @t194)) % 0.48/0.93 (define @t198 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 @t5)) % 0.48/0.93 (define @t199 () (not @t198)) % 0.48/0.93 (define @t200 () (tptp.c_lessequals @t3 @t3 @t5)) % 0.48/0.93 (define @t201 () (not (tptp.c_HOL_Oord__class_Oless @t65 @t13 @t5))) % 0.48/0.93 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t65 @t125 @t5)) % 0.48/0.93 (define @t203 () (@var "V_y_H" $$unsorted)) % 0.48/0.93 (define @t204 () (@var "V_x_H" $$unsorted)) % 0.48/0.93 (define @t205 () (tptp.c_HOL_Ominus__class_Ominus @t204 @t203 @t5)) % 0.48/0.93 (define @t206 () (@var "V_xa" $$unsorted)) % 0.48/0.93 (define @t207 () (@var "V_f" $$unsorted)) % 0.48/0.93 (define @t208 () (= @t51 @t3)) % 0.48/0.93 (define @t209 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t33 @t3 @t5)) % 0.48/0.93 (define @t210 () (= @t51 @t209)) % 0.48/0.93 (define @t211 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t2 @t6)) % 0.48/0.93 (define @t212 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t2 @t6)) % 0.48/0.93 (define @t213 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t212 @t6)) % 0.48/0.93 (define @t214 () (= @t20 @t65)) % 0.48/0.93 (define @t215 () (not (= @t175 @t19))) % 0.48/0.93 (define @t216 () (tptp.c_HOL_Ominus__class_Ominus @t3 @t33 @t5)) % 0.48/0.93 (define @t217 () (tptp.c_HOL_Oplus__class_Oplus @t65 @t194 @t5)) % 0.48/0.93 (define @t218 () (@list @t5 @t20 @t13 @t65 @t194)) % 0.48/0.93 (define @t219 () (tptp.c_Collect @t99 @t5)) % 0.48/0.93 (define @t220 () (tptp.hBOOL (tptp.c_in @t20 @t219 @t5))) % 0.48/0.93 (define @t221 () (tptp.hBOOL (tptp.hAPP @t99 @t20))) % 0.48/0.93 (define @t222 () (tptp.hBOOL (tptp.c_in @t13 @t2 @t5))) % 0.48/0.93 (define @t223 () (not @t222)) % 0.48/0.93 (define @t224 () (@list @t13 @t2 @t8 @t5)) % 0.48/0.93 (define @t225 () (tptp.c_Set_Oinsert @t3 @t2 @t5)) % 0.48/0.93 (define @t226 () (tptp.c_lessequals @t225 @t8 @t6)) % 0.48/0.93 (define @t227 () (not @t226)) % 0.48/0.93 (define @t228 () (tptp.hBOOL (tptp.c_in @t3 @t8 @t5))) % 0.48/0.93 (define @t229 () (@list @t3 @t8 @t5 @t2)) % 0.48/0.93 (define @t230 () (not @t96)) % 0.48/0.93 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t151 @t94 tptp.tc_nat)) % 0.48/0.93 (define @t232 () (@list @t95 @t94)) % 0.48/0.93 (define @t233 () (@list @t2 @t8 @t5 @t3)) % 0.48/0.93 (define @t234 () (tptp.hBOOL (tptp.c_in @t20 @t57 @t5))) % 0.48/0.93 (define @t235 () (tptp.c_Set_Oinsert @t20 @t8 @t5)) % 0.48/0.93 (define @t236 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t235 @t57 @t6)) % 0.48/0.93 (define @t237 () (@list @t20 @t8 @t5 @t57)) % 0.48/0.93 (define @t238 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t235 @t6)) % 0.48/0.93 (define @t239 () (@list @t2 @t20 @t8 @t5)) % 0.48/0.93 (define @t240 () (tptp.c_Set_Ovimage @t207 @t2 @t5 @t1)) % 0.48/0.93 (define @t241 () (tptp.hAPP @t207 @t20)) % 0.48/0.93 (define @t242 () (tptp.c_Set_Ovimage @t207 @t8 @t5 @t1)) % 0.48/0.93 (define @t243 () (tptp.hBOOL (tptp.c_in @t20 @t242 @t5))) % 0.48/0.93 (define @t244 () (tptp.hBOOL (tptp.c_in @t241 @t8 @t1))) % 0.48/0.93 (define @t245 () (@list @t207 @t20 @t8 @t1 @t5)) % 0.48/0.93 (define @t246 () (tptp.c_Set_Ovimage @t207 @t8 @t1 @t5)) % 0.48/0.93 (define @t247 () (tptp.c_Set_Ovimage @t207 @t2 @t1 @t5)) % 0.48/0.93 (define @t248 () (@var "V_top" $$unsorted)) % 0.48/0.93 (define @t249 () (@var "V_bot" $$unsorted)) % 0.48/0.93 (define @t250 () (@var "V_sup" $$unsorted)) % 0.48/0.93 (define @t251 () (@var "V_inf" $$unsorted)) % 0.48/0.93 (define @t252 () (@var "V_less" $$unsorted)) % 0.48/0.93 (define @t253 () (@var "V_less__eq" $$unsorted)) % 0.48/0.93 (define @t254 () (@var "V_Sup" $$unsorted)) % 0.48/0.93 (define @t255 () (@var "V_Inf" $$unsorted)) % 0.48/0.93 (define @t256 () (not (tptp.c_Complete__Lattice_Ocomplete__lattice @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t5))) % 0.48/0.93 (define @t257 () (tptp.hAPP @t254 @t2)) % 0.48/0.93 (define @t258 () (tptp.hAPP @t255 @t2)) % 0.48/0.93 (define @t259 () (not (tptp.c_lessequals @t139 @t111 @t5))) % 0.48/0.93 (define @t260 () (tptp.hBOOL (tptp.c_in @t3 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t219 @t6) @t5))) % 0.48/0.93 (define @t261 () (not @t260)) % 0.48/0.93 (define @t262 () (tptp.c_HOL_Ominus__class_Ominus @t225 @t8 @t6)) % 0.48/0.93 (define @t263 () (@list @t3 @t2 @t5 @t8)) % 0.48/0.93 (define @t264 () (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t19 @t5) @t20)) % 0.48/0.93 (define @t265 () (not (tptp.class_OrderedGroup_Omonoid__add @t5))) % 0.48/0.93 (define @t266 () (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t20 @t5) @t20)) % 0.48/0.93 (define @t267 () (tptp.c_HOL_Oord__class_Oless @t20 @t65 @t5)) % 0.48/0.93 (define @t268 () (not @t267)) % 0.48/0.93 (define @t269 () (not (tptp.c_lessequals @t13 @t194 @t5))) % 0.48/0.93 (define @t270 () (tptp.c_HOL_Oord__class_Oless @t125 @t217 @t5)) % 0.48/0.93 (define @t271 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t5))) % 0.48/0.93 (define @t272 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t194 @t5))) % 0.48/0.93 (define @t273 () (tptp.c_HOL_Oord__class_Oless @t151 @t115 tptp.tc_nat)) % 0.48/0.93 (define @t274 () (@var "V_g" $$unsorted)) % 0.48/0.93 (define @t275 () (tptp.hAPP @t207 @t3)) % 0.48/0.93 (define @t276 () (tptp.c_Orderings_Obot__class_Obot @t5)) % 0.48/0.93 (define @t277 () (not (tptp.class_Lattices_Obounded__lattice @t5))) % 0.48/0.93 (define @t278 () (tptp.c_Complete__Lattice_OInf__class_OInf @t2 @t5)) % 0.48/0.93 (define @t279 () (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t5))) % 0.48/0.93 (define @t280 () (tptp.c_lessequals @t51 @t3 @t5)) % 0.48/0.93 (define @t281 () (tptp.c_lessequals @t51 @t33 @t5)) % 0.48/0.93 (define @t282 () (tptp.c_lessequals @t57 @t2 @t6)) % 0.48/0.93 (define @t283 () (not @t282)) % 0.48/0.93 (define @t284 () (tptp.c_lessequals @t57 @t8 @t6)) % 0.48/0.93 (define @t285 () (tptp.c_lessequals @t57 @t62 @t6)) % 0.48/0.93 (define @t286 () (tptp.c_lessequals @t3 @t20 @t5)) % 0.48/0.93 (define @t287 () (not @t286)) % 0.48/0.93 (define @t288 () (tptp.c_lessequals @t3 @t65 @t5)) % 0.48/0.93 (define @t289 () (not @t288)) % 0.48/0.93 (define @t290 () (tptp.c_lessequals @t3 @t106 @t5)) % 0.48/0.93 (define @t291 () (@list @t5 @t3 @t20 @t65)) % 0.48/0.93 (define @t292 () (tptp.c_lessequals @t3 @t48 @t5)) % 0.48/0.93 (define @t293 () (not @t292)) % 0.48/0.93 (define @t294 () (tptp.c_lessequals @t3 @t49 @t5)) % 0.48/0.93 (define @t295 () (tptp.c_Finite__Set_Osetsum @t207 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t95 @t115 tptp.tc_nat) tptp.tc_nat @t5)) % 0.48/0.93 (define @t296 () (@list @t5 @t207 @t95 @t94)) % 0.48/0.93 (define @t297 () (tptp.c_HOL_Oord__class_Oless @t19 @t20 @t5)) % 0.48/0.93 (define @t298 () (not @t297)) % 0.48/0.93 (define @t299 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t139 @t95 @t5)) % 0.48/0.93 (define @t300 () (tptp.c_lessequals @t2 @t57 @t6)) % 0.48/0.93 (define @t301 () (not @t300)) % 0.48/0.93 (define @t302 () (@var "V_D" $$unsorted)) % 0.48/0.93 (define @t303 () (not (tptp.c_lessequals @t8 @t302 @t6))) % 0.48/0.93 (define @t304 () (@list @t2 @t8 @t5 @t57 @t302)) % 0.48/0.93 (define @t305 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t57 @t6)) % 0.48/0.93 (define @t306 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t57 @t6)) % 0.48/0.93 (define @t307 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t57 @t6)) % 0.48/0.93 (define @t308 () (tptp.c_Finite__Set_Osetsum @t207 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t95 @t94 tptp.tc_nat) tptp.tc_nat @t5)) % 0.48/0.93 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t95 @t115 tptp.tc_nat)) % 0.48/0.93 (define @t310 () (tptp.c_fequal @t3 @t5)) % 0.48/0.93 (define @t311 () (@list @t3 @t5)) % 0.48/0.93 (define @t312 () (tptp.hAPP @t2 @t3)) % 0.48/0.93 (define @t313 () (tptp.hBOOL @t312)) % 0.48/0.93 (define @t314 () (not @t313)) % 0.48/0.93 (define @t315 () (tptp.hBOOL @t9)) % 0.48/0.93 (define @t316 () (not @t315)) % 0.48/0.93 (define @t317 () (tptp.hBOOL (tptp.hAPP @t62 @t3))) % 0.48/0.93 (define @t318 () (tptp.c_HOL_Oord__class_Oless @t204 @t203 @t5)) % 0.48/0.93 (define @t319 () (not (= @t216 @t205))) % 0.48/0.93 (define @t320 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t5))) % 0.48/0.93 (define @t321 () (@list @t5 @t3 @t33 @t204 @t203)) % 0.48/0.93 (define @t322 () (tptp.c_lessequals @t203 @t204 @t5)) % 0.48/0.93 (define @t323 () (tptp.c_lessequals @t8 @t57 @t6)) % 0.48/0.93 (define @t324 () (not @t323)) % 0.48/0.93 (define @t325 () (@list @t5 @t65 @t20)) % 0.48/0.93 (define @t326 () (tptp.c_HOL_Oord__class_Oless @t19 @t30 @t5)) % 0.48/0.93 (define @t327 () (@list @t207 @t2 @t8 @t1 @t5)) % 0.48/0.93 (define @t328 () (tptp.c_lessequals @t2 @t306 @t6)) % 0.48/0.93 (define @t329 () (tptp.c_lessequals @t12 @t57 @t6)) % 0.48/0.93 (define @t330 () (not @t317)) % 0.48/0.93 (define @t331 () (@list @t8 @t3 @t2 @t5)) % 0.48/0.93 (define @t332 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat)) % 0.48/0.93 (define @t333 () (tptp.c_HOL_Oord__class_Oless @t94 @t151 tptp.tc_nat)) % 0.48/0.93 (define @t334 () (not @t333)) % 0.48/0.93 (define @t335 () (tptp.hBOOL (tptp.hAPP @t164 @t65))) % 0.48/0.93 (define @t336 () (@list @t5 @t20 @t65 @t13 @t194)) % 0.48/0.93 (define @t337 () (not @t285)) % 0.48/0.93 (define @t338 () (not @t290)) % 0.48/0.93 (define @t339 () (tptp.c_lessequals @t20 @t3 @t5)) % 0.48/0.93 (define @t340 () (not @t339)) % 0.48/0.93 (define @t341 () (tptp.c_lessequals @t106 @t3 @t5)) % 0.48/0.93 (define @t342 () (tptp.c_lessequals @t65 @t3 @t5)) % 0.48/0.93 (define @t343 () (not @t342)) % 0.48/0.93 (define @t344 () (not @t294)) % 0.48/0.93 (define @t345 () (tptp.tc_fun tptp.t_a @t1)) % 0.48/0.93 (define @t346 () (= @t65 @t13)) % 0.48/0.93 (define @t347 () (not (= @t67 @t125))) % 0.48/0.93 (define @t348 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t5))) % 0.48/0.93 (define @t349 () (tptp.c_HOL_Oplus__class_Oplus @t65 @t20 @t5)) % 0.48/0.93 (define @t350 () (not (tptp.c_HOL_Oord__class_Oless @t19 @t65 @t5))) % 0.48/0.93 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t19 @t67 @t5)) % 0.48/0.93 (define @t352 () (not (tptp.c_lessequals @t19 @t65 @t5))) % 0.48/0.93 (define @t353 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t20 @t65 @t5)) % 0.48/0.93 (define @t354 () (not (tptp.c_lessequals @t353 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t13 @t194 @t5) @t6))) % 0.48/0.93 (define @t355 () (tptp.c_lessequals @t13 @t20 @t5)) % 0.48/0.93 (define @t356 () (@list @t5 @t13 @t20 @t65 @t194)) % 0.48/0.93 (define @t357 () (tptp.c_lessequals @t65 @t194 @t5)) % 0.48/0.93 (define @t358 () (@list @t5 @t65 @t194 @t20 @t13)) % 0.48/0.93 (define @t359 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t48 @t5)) % 0.48/0.93 (define @t360 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t359 @t5)) % 0.48/0.93 (define @t361 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t51 @t55 @t5)) % 0.48/0.93 (define @t362 () (tptp.hBOOL (tptp.c_in @t13 @t62 @t5))) % 0.48/0.93 (define @t363 () (not @t362)) % 0.48/0.93 (define @t364 () (@list @t13 @t2 @t5 @t8)) % 0.48/0.93 (define @t365 () (= (tptp.c_HOL_Oplus__class_Oplus @t106 @t13 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t125 @t124 @t5))) % 0.48/0.93 (define @t366 () (= (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t65 @t13 @t5) @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t67 @t125 @t5))) % 0.48/0.93 (define @t367 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__meet @t5))) % 0.48/0.93 (define @t368 () (@var "V_S" $$unsorted)) % 0.48/0.93 (define @t369 () (tptp.hBOOL (tptp.hAPP @t368 @t3))) % 0.48/0.93 (define @t370 () (tptp.hBOOL (tptp.c_in @t3 @t368 @t5))) % 0.48/0.93 (define @t371 () (tptp.c_Orderings_Obot__class_Obot @t163)) % 0.48/0.93 (define @t372 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t371 @t8 @t1 @t6)) % 0.48/0.93 (define @t373 () (@list @t2 @t1 @t8 @t5)) % 0.48/0.93 (define @t374 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t139 @t141 @t5)) % 0.48/0.93 (define @t375 () (tptp.hBOOL (tptp.hAPP @t99 @t3))) % 0.48/0.93 (define @t376 () (not (= @t62 @t7))) % 0.48/0.93 (define @t377 () (not @t228)) % 0.48/0.93 (define @t378 () (tptp.c_lessequals @t19 @t30 @t5)) % 0.48/0.93 (define @t379 () (not @t375)) % 0.48/0.93 (define @t380 () (not (tptp.hBOOL (tptp.c_in @t3 @t7 @t5)))) % 0.48/0.93 (define @t381 () (@list @t99 @t3 @t5)) % 0.48/0.93 (define @t382 () (@list @t20 @t5)) % 0.48/0.93 (define @t383 () (= @t2 @t7)) % 0.48/0.93 (define @t384 () (@list @t2 @t5)) % 0.48/0.93 (define @t385 () (@list @t5 @t2)) % 0.48/0.93 (define @t386 () (@list @t5 @t8)) % 0.48/0.93 (define @t387 () (tptp.c_Set_Oinsert @t20 @t7 @t5)) % 0.48/0.93 (define @t388 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t387 @t6)) % 0.48/0.93 (define @t389 () (tptp.c_Set_Oinsert @t20 @t388 @t5)) % 0.48/0.93 (define @t390 () (@list @t20 @t2 @t5)) % 0.48/0.93 (define @t391 () (@var "T_aa" $$unsorted)) % 0.48/0.93 (define @t392 () (@list @t3 @t2 @t5)) % 0.48/0.93 (define @t393 () (tptp.c_Set_Oinsert @t65 @t7 @t5)) % 0.48/0.93 (define @t394 () (tptp.c_Set_Oinsert @t20 @t393 @t5)) % 0.48/0.93 (define @t395 () (tptp.hAPP @t250 @t20)) % 0.48/0.93 (define @t396 () (tptp.c_Set_Oinsert @t20 @t2 @t5)) % 0.48/0.93 (define @t397 () (tptp.hAPP @t251 @t20)) % 0.48/0.93 (define @t398 () (tptp.hBOOL (tptp.c_in @t20 (tptp.c_Set_Oinsert @t65 @t2 @t5) @t5))) % 0.48/0.93 (define @t399 () (tptp.c_Set_Oinsert @t20 @t62 @t5)) % 0.48/0.93 (define @t400 () (tptp.c_Set_Oinsert @t65 @t8 @t5)) % 0.48/0.93 (define @t401 () (not (tptp.c_lessequals @t139 @t141 @t5))) % 0.48/0.93 (define @t402 () (tptp.c_Set_Oinsert @t139 @t7 @t5)) % 0.48/0.93 (define @t403 () (@list @t5 @t139 @t141)) % 0.48/0.93 (define @t404 () (not (tptp.class_Lattices_Oupper__semilattice @t5))) % 0.48/0.93 (define @t405 () (= @t77 @t33)) % 0.48/0.93 (define @t406 () (tptp.c_lessequals @t33 @t48 @t5)) % 0.48/0.93 (define @t407 () (not @t406)) % 0.48/0.93 (define @t408 () (tptp.c_lessequals @t77 @t48 @t5)) % 0.48/0.93 (define @t409 () (tptp.c_lessequals @t48 @t3 @t5)) % 0.48/0.93 (define @t410 () (@list @t5 @t33 @t48 @t3)) % 0.48/0.93 (define @t411 () (tptp.c_lessequals @t33 @t77 @t5)) % 0.48/0.93 (define @t412 () (tptp.c_lessequals @t3 @t77 @t5)) % 0.48/0.93 (define @t413 () (tptp.c_lessequals @t130 @t3 @t5)) % 0.48/0.93 (define @t414 () (tptp.c_HOL_Oord__class_Oless @t3 @t130 @t5)) % 0.48/0.93 (define @t415 () (not @t408)) % 0.48/0.93 (define @t416 () (tptp.c_lessequals @t3 @t130 @t5)) % 0.48/0.93 (define @t417 () (not @t413)) % 0.48/0.93 (define @t418 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t3 @t5)) % 0.48/0.93 (define @t419 () (not (tptp.class_Lattices_Odistrib__lattice @t5))) % 0.48/0.93 (define @t420 () (= (tptp.c_HOL_Oplus__class_Oplus @t130 @t13 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t125 @t124 @t5))) % 0.48/0.93 (define @t421 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add__join @t5))) % 0.48/0.93 (define @t422 () (= (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t65 @t13 @t5) @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t67 @t125 @t5))) % 0.48/0.93 (define @t423 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t95 @t141 @t5)) % 0.48/0.93 (define @t424 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t139 @t95 @t5)) % 0.48/0.93 (define @t425 () (tptp.c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1 @t206 @t3 @t207 @t274 @t5 @t1)) % 0.48/0.93 (define @t426 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t206 @t3 @t5)) % 0.48/0.93 (define @t427 () (= (tptp.c_Finite__Set_Osetsum @t207 @t426 @t5 @t1) (tptp.c_Finite__Set_Osetsum @t274 @t426 @t5 @t1))) % 0.48/0.93 (define @t428 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.48/0.93 (define @t429 () (not (tptp.class_HOL_Oord @t5))) % 0.48/0.93 (define @t430 () (@list @t5 @t1 @t207 @t206 @t3 @t274)) % 0.48/0.93 (define @t431 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t8 @t6)) % 0.48/0.93 (define @t432 () (= @t431 @t8)) % 0.48/0.93 (define @t433 () (tptp.hBOOL (tptp.c_in @t13 @t431 @t5))) % 0.48/0.93 (define @t434 () (tptp.c_lessequals @t431 @t57 @t6)) % 0.48/0.93 (define @t435 () (@list @t8 @t2 @t5)) % 0.48/0.93 (define @t436 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t2 @t6)) % 0.48/0.93 (define @t437 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t8 @t163)) % 0.48/0.93 (define @t438 () (not @t434)) % 0.48/0.93 (define @t439 () (@list @t2 @t57 @t5 @t8)) % 0.48/0.93 (define @t440 () (@list @t8 @t57 @t5 @t2)) % 0.48/0.93 (define @t441 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t57 @t6)) % 0.48/0.93 (define @t442 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t2 @t6)) % 0.48/0.93 (define @t443 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t306 @t6)) % 0.48/0.93 (define @t444 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t95 @t141 @t5)) % 0.48/0.93 (define @t445 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t139 @t95 @t5)) % 0.48/0.93 (define @t446 () (not (tptp.c_HOL_Oord__class_Oless @t95 @t141 @t5))) % 0.48/0.93 (define @t447 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t139 @t141 @t5)) % 0.48/0.93 (define @t448 () (@list @t5 @t20 @t2)) % 0.48/0.93 (define @t449 () (@var "V_I" $$unsorted)) % 0.48/0.93 (define @t450 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t449 @t2 @t5 @t163)) % 0.48/0.93 (define @t451 () (tptp.c_lessequals @t82 (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t13 @t194 @t5) @t6)) % 0.48/0.93 (define @t452 () (not @t451)) % 0.48/0.93 (define @t453 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t57 @t6) @t443)) % 0.48/0.93 (define @t454 () (@var "V_nat" $$unsorted)) % 0.48/0.93 (define @t455 () (tptp.c_lessequals @t175 @t19 @t5)) % 0.48/0.93 (define @t456 () (tptp.c_HOL_Oord__class_Oless @t175 @t19 @t5)) % 0.48/0.93 (define @t457 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun tptp.t_a tptp.tc_bool))) % 0.48/0.93 (define @t458 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 0.48/0.93 (define @t459 () (tptp.c_Orderings_Obot__class_Obot @t458)) % 0.48/0.93 (define @t460 () (= @t7 @t82)) % 0.48/0.93 (define @t461 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t51 @t5) @t51)) % 0.48/0.93 (define @t462 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t95 @t5))) % 0.48/0.93 (define @t463 () (tptp.c_lessequals @t30 @t19 @t5)) % 0.48/0.93 (define @t464 () (tptp.c_HOL_Oord__class_Oless @t120 @t119 @t5)) % 0.48/0.93 (define @t465 () (tptp.c_HOL_Oord__class_Oless @t125 @t124 @t5)) % 0.48/0.93 (define @t466 () (tptp.hAPP @t274 tptp.v_x)) % 0.48/0.93 (define @t467 () (tptp.hAPP @t207 tptp.v_x)) % 0.48/0.93 (define @t468 () (not (tptp.class_Lattices_Olattice @t1))) % 0.48/0.93 (define @t469 () (@list @t1 @t207 @t274)) % 0.48/0.93 (define @t470 () (@var "V_Q" $$unsorted)) % 0.48/0.93 (define @t471 () (not (tptp.c_lessequals @t99 @t470 @t6))) % 0.48/0.93 (define @t472 () (tptp.hBOOL (tptp.hAPP @t470 @t3))) % 0.48/0.93 (define @t473 () (@list @t470 @t3 @t99 @t5)) % 0.48/0.93 (define @t474 () (@var "V_t" $$unsorted)) % 0.48/0.93 (define @t475 () (not (tptp.c_lessequals @t48 @t33 @t5))) % 0.48/0.93 (define @t476 () (= @t7 @t154)) % 0.48/0.93 (define @t477 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t139 @t141 @t5)) % 0.48/0.93 (define @t478 () (tptp.hBOOL (tptp.hAPP @t2 @t275))) % 0.48/0.93 (define @t479 () (tptp.hBOOL (tptp.hAPP @t240 @t3))) % 0.48/0.93 (define @t480 () (tptp.c_Complete__Lattice_OSup__class_OSup @t2 @t5)) % 0.48/0.93 (define @t481 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t95 @t141 @t5)) % 0.48/0.93 (define @t482 () (tptp.c_Nitpick_Osko__Nitpick__XEx1__def__1__3 @t171 @t5)) % 0.48/0.93 (define @t483 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t235 @t6)) % 0.48/0.93 (define @t484 () (= @t353 @t7)) % 0.48/0.93 (define @t485 () (= @t7 @t353)) % 0.48/0.93 (define @t486 () (tptp.c_Set_Oinsert @t141 @t7 @t5)) % 0.48/0.93 (define @t487 () (not (tptp.c_HOL_Oord__class_Oless @t139 @t141 @t5))) % 0.48/0.93 (define @t488 () (tptp.c_HOL_Oord__class_Oless tptp.v_m tptp.v_n tptp.tc_nat)) % 0.48/0.93 (define @t489 () (tptp.c_Set_Oinsert @t20 @t459 tptp.tc_nat)) % 0.48/0.93 (define @t490 () (@list @t20)) % 0.48/0.93 (define @t491 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t402 @t477 @t6)) % 0.48/0.93 (define @t492 () (or @t92 (= @t491 @t447) @t487)) % 0.48/0.93 (define @t493 () (forall @t403 @t492)) % 0.48/0.93 (define @t494 () (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan tptp.v_m tptp.v_n tptp.tc_nat)) % 0.48/0.93 (define @t495 () (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Oinsert tptp.v_m @t459 tptp.tc_nat) @t494 @t458)) % 0.48/0.93 (define @t496 () (tptp.c_Finite__Set_Osetsum tptp.v_f @t495 tptp.tc_nat tptp.t_a)) % 0.48/0.93 (define @t497 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_a)) % 0.48/0.93 (define @t498 () (tptp.c_Set_Oinsert @t33 @t2 @t5)) % 0.48/0.93 (define @t499 () (tptp.hBOOL (tptp.hAPP @t498 @t3))) % 0.48/0.93 (define @t500 () (= @t20 @t13)) % 0.48/0.93 (define @t501 () (= @t20 @t194)) % 0.48/0.93 (define @t502 () (not (= @t394 (tptp.c_Set_Oinsert @t13 (tptp.c_Set_Oinsert @t194 @t7 @t5) @t5)))) % 0.48/0.93 (define @t503 () (@list @t20 @t65 @t5 @t13 @t194)) % 0.48/0.93 (define @t504 () (= @t65 @t194)) % 0.48/0.93 (define @t505 () (tptp.hBOOL (tptp.hAPP @t431 @t3))) % 0.48/0.93 (define @t506 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t359 @t5)) % 0.48/0.93 (define @t507 () (= @t506 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t33 @t76 @t5))) % 0.48/0.93 (define @t508 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t77 @t48 @t5) @t506)) % 0.48/0.93 (define @t509 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t306 @t6)) % 0.48/0.93 (define @t510 () (not (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t8 @t5) @t276))) % 0.48/0.93 (define @t511 () (@list @t5 @t2 @t8)) % 0.48/0.93 (define @t512 () (not (= @t431 @t7))) % 0.48/0.93 (define @t513 () (= @t77 @t418)) % 0.48/0.93 (define @t514 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t77 @t5) @t77)) % 0.48/0.93 (define @t515 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.v_m tptp.v_n tptp.tc_nat)) % 0.48/0.93 (define @t516 () (= @t496 (tptp.c_Finite__Set_Osetsum tptp.v_f @t515 tptp.tc_nat tptp.t_a))) % 0.48/0.93 (define @t517 () (@var "T" $$unsorted)) % 0.48/0.93 (define @t518 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t517))) % 0.48/0.93 (define @t519 () (@list @t517)) % 0.48/0.93 (define @t520 () (@var "T_1" $$unsorted)) % 0.48/0.93 (define @t521 () (@var "T_2" $$unsorted)) % 0.48/0.93 (define @t522 () (tptp.tc_fun @t521 @t520)) % 0.48/0.93 (define @t523 () (@list @t521 @t520)) % 0.48/0.93 (define @t524 () (not (tptp.class_Lattices_Olattice @t520))) % 0.48/0.93 (define @t525 () (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.48/0.93 (define @t526 () (@var "V_Y" $$unsorted)) % 0.48/0.93 (define @t527 () (@var "V_X" $$unsorted)) % 0.48/0.93 (define @t528 () (not @t488)) % 0.48/0.93 (define @t529 () (not @t525)) % 0.48/0.93 (define @t530 () (or @t529 (= @t515 @t495) @t528)) % 0.48/0.93 (define @t531 () (forall @t403 (or @t92 (= @t447 @t491) @t487))) % 0.48/0.93 (define @t532 () (= @t495 @t515)) % 0.48/0.93 (define @t533 () (or @t529 @t532 @t528)) % 0.48/0.93 (assume @p1 (forall (@list @t2 @t8 @t1 @t5 @t3) (or (not (= @t11 @t7)) @t10 @t4))) % 0.48/0.93 (assume @p2 (forall @t18 (or @t17 @t15))) % 0.48/0.93 (assume @p3 (forall (@list @t5 @t3 @t20) (or @t23 @t22 (not (= @t3 (tptp.c_HOL_Oplus__class_Oplus @t3 @t20 @t5))) @t21))) % 0.48/0.93 (assume @p4 (forall @t26 (or @t23 @t22 @t25))) % 0.48/0.93 (assume @p5 (forall @t28 (or @t27 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t20 @t5) @t19)))) % 0.48/0.93 (assume @p6 (forall @t28 (or @t27 (= (tptp.c_HOL_Ominus__class_Ominus @t20 @t19 @t5) @t20)))) % 0.48/0.93 (assume @p7 (forall @t26 (or @t27 @t25))) % 0.48/0.93 (assume @p8 (forall @t26 (or @t29 @t25))) % 0.48/0.93 (assume @p9 (forall @t28 (or @t31 (not (= @t30 @t19)) @t21))) % 0.48/0.93 (assume @p10 (forall @t38 (or @t37 @t36 @t34 @t32 (= @t3 @t19)))) % 0.48/0.93 (assume @p11 (forall @t38 (or @t37 @t36 @t34 @t32 (= @t33 @t19)))) % 0.48/0.93 (assume @p12 (forall @t28 (or @t42 @t41 @t40))) % 0.48/0.93 (assume @p13 (forall @t28 (or @t42 @t39 @t43))) % 0.48/0.93 (assume @p14 (forall @t28 (or @t31 @t39 @t43))) % 0.48/0.93 (assume @p15 (forall @t28 (or @t31 @t41 @t40))) % 0.48/0.93 (assume @p16 (or @t47 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf tptp.v_f tptp.v_g @t46) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t45 @t44 tptp.t_b)))) % 0.48/0.93 (assume @p17 (forall @t54 (or @t53 @t52))) % 0.48/0.93 (assume @p18 (forall @t54 (or @t53 @t56))) % 0.48/0.93 (assume @p19 (forall @t61 (= @t60 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t8 @t58 @t6)))) % 0.48/0.93 (assume @p20 (forall @t63 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t62 @t57 @t6) @t60))) % 0.48/0.93 (assume @p21 (forall @t54 (or @t64 @t52))) % 0.48/0.93 (assume @p22 (forall @t54 (or @t64 @t56))) % 0.48/0.93 (assume @p23 (forall (@list @t5 @t2 @t8 @t1 @t3) (or (not (= @t7 @t11)) @t10 @t4))) % 0.48/0.93 (assume @p24 (forall @t69 (or @t37 @t68 @t66 @t40))) % 0.48/0.93 (assume @p25 (forall @t69 (or @t37 @t68 @t72 @t71))) % 0.48/0.93 (assume @p26 (forall @t63 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t57 @t6) @t73))) % 0.48/0.93 (assume @p27 (forall @t75 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t12 @t6) (tptp.c_HOL_Ominus__class_Ominus @t74 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t8 @t6) @t6)))) % 0.48/0.93 (assume @p28 (forall @t54 (or @t53 (tptp.c_lessequals @t79 @t78 @t5)))) % 0.48/0.93 (assume @p29 (forall @t69 (or @t84 @t83 @t81))) % 0.48/0.93 (assume @p30 (forall @t38 (or @t84 @t89 @t88 @t86))) % 0.48/0.93 (assume @p31 (forall @t93 (or @t92 @t91 @t90 @t89))) % 0.48/0.93 (assume @p32 (forall (@list @t33 @t3) (or (tptp.c_HOL_Oord__class_Oless @t33 @t3 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t3 @t33 tptp.tc_nat) @t89))) % 0.48/0.93 (assume @p33 (forall (@list @t99 @t94 @t95) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t99 @t94) @t95)) @t98 @t97 @t96))) % 0.48/0.93 (assume @p34 (forall @t104 (or @t103 @t102 @t101))) % 0.48/0.93 (assume @p35 (forall @t105 (or @t98 @t96 @t97))) % 0.48/0.93 (assume @p36 (forall @t38 (or @t84 @t89 @t86 @t88))) % 0.48/0.93 (assume @p37 (forall @t93 (or @t92 @t91 @t89 @t90))) % 0.48/0.93 (assume @p38 (forall @t38 (or @t92 @t89 @t90 @t91))) % 0.48/0.93 (assume @p39 (forall @t38 (or @t92 @t89 @t91 @t90))) % 0.48/0.93 (assume @p40 (forall @t93 (or @t42 @t91 @t90 @t89))) % 0.48/0.93 (assume @p41 (forall @t108 (or @t64 @t107 (not (tptp.c_HOL_Oord__class_Oless @t20 @t3 @t5))))) % 0.48/0.93 (assume @p42 (forall @t108 (or @t64 @t107 (not (tptp.c_HOL_Oord__class_Oless @t65 @t3 @t5))))) % 0.48/0.93 (assume @p43 (forall @t104 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t62 @t6) @t2))) % 0.48/0.93 (assume @p44 (forall (@list @t110 @t111 @t109) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Suc @t110) @t111 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t109 @t111 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t110 @t109 tptp.tc_nat))))) % 0.48/0.93 (assume @p45 (forall @t114 @t113)) % 0.48/0.93 (assume @p46 (forall @t116 (tptp.c_HOL_Oord__class_Oless @t94 @t115 tptp.tc_nat))) % 0.48/0.93 (assume @p47 (forall @t123 (or @t122 @t121 @t118))) % 0.48/0.93 (assume @p48 (forall @t127 (or @t122 @t126 @t118))) % 0.48/0.93 (assume @p49 (forall @t129 (or @t128 @t117 (not @t121)))) % 0.48/0.93 (assume @p50 (forall @t69 (or @t31 (= @t67 (tptp.c_HOL_Oplus__class_Oplus @t130 @t106 @t5))))) % 0.48/0.93 (assume @p51 (forall @t135 (or @t128 @t134 @t133 @t132 (not (tptp.c_lessequals @t19 @t13 @t5))))) % 0.48/0.93 (assume @p52 (forall @t135 (or @t128 @t134 @t133 @t138 @t137))) % 0.48/0.93 (assume @p53 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 @t144 @t6) @t143) @t142 @t140))) % 0.48/0.93 (assume @p54 (forall @t150 (not (= @t149 @t148)))) % 0.48/0.93 (assume @p55 (forall @t152 (not (= @t149 @t151)))) % 0.48/0.93 (assume @p56 (forall @t156 (or @t84 @t155 @t153))) % 0.48/0.93 (assume @p57 (forall @t156 (or @t84 (not @t155) @t157))) % 0.48/0.93 (assume @p58 (forall @t116 (or @t159 (not (tptp.c_HOL_Oord__class_Oless @t94 @t158 tptp.tc_nat))))) % 0.48/0.93 (assume @p59 (forall (@list @t1 @t160 @t110 @t2 @t5) (or (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t1)) (tptp.c_lessequals (tptp.hAPP @t160 @t110) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2 @t160 @t5 @t1) @t1) (not (tptp.hBOOL (tptp.c_in @t110 @t2 @t5)))))) % 0.48/0.93 (assume @p60 (forall (@list @t8 @t20 @t2 @t5 @t1) (or (tptp.c_lessequals @t165 @t164 @t163) @t162))) % 0.48/0.93 (assume @p61 (forall (@list @t2 @t3 @t5 @t8) (or @t172 @t170 @t168))) % 0.48/0.93 (assume @p62 (forall @t174 (or @t167 @t170 @t173))) % 0.48/0.93 (assume @p63 (forall @t69 (or @t27 (= (tptp.c_HOL_Oplus__class_Oplus @t175 @t65 @t5) @t20)))) % 0.48/0.93 (assume @p64 (forall @t178 (or @t37 @t177 @t177 @t176))) % 0.48/0.93 (assume @p65 (forall @t178 (or @t31 @t176))) % 0.48/0.93 (assume @p66 (forall @t182 (or @t84 @t181 @t180 @t179))) % 0.48/0.93 (assume @p67 (forall @t187 (or @t186 @t185 @t184 @t183))) % 0.48/0.93 (assume @p68 (forall @t129 (or @t134 (= @t188 (tptp.c_HOL_Oplus__class_Oplus @t65 @t125 @t5))))) % 0.48/0.93 (assume @p69 (forall @t129 (or @t134 @t190))) % 0.48/0.93 (assume @p70 (forall @t54 (or @t192 (= @t191 (tptp.c_HOL_Oplus__class_Oplus @t35 @t48 @t5))))) % 0.48/0.93 (assume @p71 (forall @t54 (or @t29 (= @t191 (tptp.c_HOL_Oplus__class_Oplus @t33 @t193 @t5))))) % 0.48/0.93 (assume @p72 (forall @t129 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t5)) @t190))) % 0.48/0.93 (assume @p73 (forall @t197 (or @t192 (= @t196 (tptp.c_HOL_Oplus__class_Oplus @t125 @t194 @t5))))) % 0.48/0.93 (assume @p74 (forall @t129 (or @t192 (= @t189 (tptp.c_HOL_Oplus__class_Oplus @t125 @t65 @t5))))) % 0.48/0.93 (assume @p75 (forall @t197 (or @t192 (= @t196 (tptp.c_HOL_Oplus__class_Oplus @t13 (tptp.c_HOL_Oplus__class_Oplus @t20 @t194 @t5) @t5))))) % 0.48/0.93 (assume @p76 (forall @t129 (or @t192 @t190))) % 0.48/0.93 (assume @p77 (forall @t93 (or @t186 @t88 @t183))) % 0.48/0.93 (assume @p78 (forall @t38 (or @t92 @t90 @t87))) % 0.48/0.93 (assume @p79 (forall @t26 (or @t92 (not @t200) @t199))) % 0.48/0.93 (assume @p80 (forall @t26 (or @t92 @t198 @t200))) % 0.48/0.93 (assume @p81 (forall @t38 (or @t92 @t183 @t88))) % 0.48/0.93 (assume @p82 (forall @t93 (or @t92 @t87 @t90))) % 0.48/0.93 (assume @p83 (forall @t93 (or @t92 @t91 @t85))) % 0.48/0.93 (assume @p84 (forall @t38 (or @t92 @t86 @t179))) % 0.48/0.93 (assume @p85 (forall @t135 (or @t128 @t134 @t202 @t201 @t137))) % 0.48/0.93 (assume @p86 (forall (@list @t5 @t3 @t204 @t203) (or @t29 (not (= @t24 @t205)) (= @t204 @t203)))) % 0.48/0.93 (assume @p87 (forall (@list @t5 @t206 @t33 @t3) (or @t29 (not (= (tptp.c_HOL_Ominus__class_Ominus @t206 @t33 @t5) @t24)) (= @t206 @t33)))) % 0.48/0.93 (assume @p88 (forall (@list @t5 @t207 @t111) (or @t134 (not (= (tptp.hAPP @t207 @t149) @t19)) (= (tptp.c_Finite__Set_Osetsum @t207 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t158 @t111 tptp.tc_nat) tptp.tc_nat @t5) (tptp.c_Finite__Set_Osetsum @t207 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t149 @t111 tptp.tc_nat) tptp.tc_nat @t5))))) % 0.48/0.93 (assume @p89 (forall @t114 (or (= @t3 @t158) (= @t3 @t149) (not (tptp.c_HOL_Oord__class_Oless @t3 (tptp.c_Suc @t158) tptp.tc_nat))))) % 0.48/0.93 (assume @p90 (forall @t38 (or @t64 (= @t51 @t33) @t88))) % 0.48/0.93 (assume @p91 (forall @t38 (or @t64 (not @t208) @t85))) % 0.48/0.93 (assume @p92 (forall @t38 (or @t64 @t208 @t86))) % 0.48/0.93 (assume @p93 (forall @t104 (or (= @t62 @t8) @t102))) % 0.48/0.93 (assume @p94 (forall @t104 (or (= @t62 @t2) @t101))) % 0.48/0.93 (assume @p95 (forall @t114 (tptp.c_HOL_Oord__class_Oless @t149 @t112 tptp.tc_nat))) % 0.48/0.93 (assume @p96 (forall @t116 (tptp.c_HOL_Oord__class_Oless @t149 @t115 tptp.tc_nat))) % 0.48/0.93 (assume @p97 (forall @t38 (or @t64 @t210))) % 0.48/0.93 (assume @p98 (forall @t104 (= @t62 @t211))) % 0.48/0.93 (assume @p99 (forall @t38 (or @t53 @t210))) % 0.48/0.93 (assume @p100 (forall @t104 (or (= @t213 @t8) @t101))) % 0.48/0.93 (assume @p101 (forall @t104 (tptp.c_lessequals @t12 @t2 @t6))) % 0.48/0.93 (assume @p102 (forall @t69 (or @t37 @t68 @t72 @t40))) % 0.48/0.93 (assume @p103 (forall @t69 (or @t29 @t215 @t214))) % 0.48/0.93 (assume @p104 (forall @t69 (or @t27 @t215 @t214))) % 0.48/0.93 (assume @p105 (forall @t38 (or @t23 @t22 (not (= @t216 @t19)) @t89))) % 0.48/0.93 (assume @p106 (forall @t218 (or @t29 (= (tptp.c_HOL_Ominus__class_Ominus @t125 @t217 @t5) (tptp.c_HOL_Oplus__class_Oplus @t175 (tptp.c_HOL_Ominus__class_Ominus @t13 @t194 @t5) @t5))))) % 0.48/0.93 (assume @p107 (forall (@list @t99 @t20 @t5) (or @t221 (not @t220)))) % 0.48/0.93 (assume @p108 (forall (@list @t20 @t99 @t5) (or @t220 (not @t221)))) % 0.48/0.93 (assume @p109 (forall @t224 (or @t14 @t16 @t223))) % 0.48/0.93 (assume @p110 (forall @t229 (or @t228 @t227))) % 0.48/0.93 (assume @p111 (forall @t232 (or @t231 (= @t151 @t94) @t230))) % 0.48/0.93 (assume @p112 (forall @t233 (or @t100 @t168 @t169))) % 0.48/0.93 (assume @p113 (forall @t174 (or @t167 @t101 @t169))) % 0.48/0.93 (assume @p114 (forall @t233 (or @t100 @t169 @t168))) % 0.48/0.93 (assume @p115 (forall @t237 (or (= @t236 @t59) @t234))) % 0.48/0.93 (assume @p116 (forall @t239 (or (= @t238 @t62) @t161))) % 0.48/0.93 (assume @p117 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t145 @t144 @t6) @t7)))) % 0.48/0.93 (assume @p118 (forall (@list @t207 @t20 @t2 @t1 @t5) (or (tptp.hBOOL (tptp.c_in @t241 @t2 @t1)) (not (tptp.hBOOL (tptp.c_in @t20 @t240 @t5)))))) % 0.48/0.93 (assume @p119 (forall @t245 (or @t244 (not @t243)))) % 0.48/0.93 (assume @p120 (forall (@list @t20 @t207 @t8 @t1 @t5) (or (tptp.hBOOL (tptp.c_in @t20 @t246 @t1)) (not (tptp.hBOOL (tptp.c_in @t241 @t8 @t5)))))) % 0.48/0.93 (assume @p121 (forall (@list @t20 @t207 @t2 @t1 @t5) (or (tptp.hBOOL (tptp.c_in @t20 @t247 @t1)) (not (tptp.hBOOL (tptp.c_in @t241 @t2 @t5)))))) % 0.48/0.93 (assume @p122 (forall (@list @t20 @t207 @t8 @t5 @t1) (or @t243 (not @t244)))) % 0.48/0.93 (assume @p123 (forall (@list @t253 @t3 @t254 @t2 @t5 @t255 @t252 @t251 @t250 @t249 @t248) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t253 @t3) @t257)) @t170 @t256))) % 0.48/0.93 (assume @p124 (forall (@list @t253 @t255 @t2 @t3 @t5 @t254 @t252 @t251 @t250 @t249 @t248) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t253 @t258) @t3)) @t170 @t256))) % 0.48/0.93 (assume @p125 (forall @t156 (or @t84 @t155 @t259))) % 0.48/0.93 (assume @p126 (forall @t104 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t212 @t6) @t7))) % 0.48/0.93 (assume @p127 (forall (@list @t3 @t2 @t5 @t99) (or @t169 @t261))) % 0.48/0.93 (assume @p128 (forall @t263 (or (= @t262 (tptp.c_Set_Oinsert @t3 @t12 @t5)) @t228))) % 0.48/0.93 (assume @p129 (forall @t28 (or @t265 @t264))) % 0.48/0.93 (assume @p130 (forall @t28 (or @t265 @t266))) % 0.48/0.93 (assume @p131 (forall @t28 (or @t134 @t264))) % 0.48/0.93 (assume @p132 (forall @t26 (or @t23 @t22 (= @t3 (tptp.c_HOL_Oplus__class_Oplus @t3 @t19 @t5))))) % 0.48/0.93 (assume @p133 (forall @t26 (or @t192 (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t3 @t5) @t3)))) % 0.48/0.93 (assume @p134 (forall @t28 (or @t134 @t266))) % 0.48/0.93 (assume @p135 (forall @t28 (or @t192 @t264))) % 0.48/0.93 (assume @p136 (forall @t28 (or @t192 @t266))) % 0.48/0.93 (assume @p137 (forall @t69 (or @t27 (= (tptp.c_HOL_Ominus__class_Ominus @t67 @t65 @t5) @t20)))) % 0.48/0.93 (assume @p138 (forall @t218 (or @t271 @t270 @t269 @t268))) % 0.48/0.93 (assume @p139 (forall @t218 (or @t271 @t270 @t272 @t118))) % 0.48/0.93 (assume @p140 (forall @t232 (or @t273 @t230))) % 0.48/0.93 (assume @p141 (forall @t232 (or @t96 (not @t273)))) % 0.48/0.93 (assume @p142 (forall (@list @t3 @t94) (or (tptp.c_HOL_Oord__class_Oless @t112 @t115 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t3 @t94 tptp.tc_nat))))) % 0.48/0.93 (assume @p143 (forall (@list @t1 @t207 @t3 @t274 @t5) (or (not (tptp.class_HOL_Oord @t1)) (tptp.c_lessequals @t275 (tptp.hAPP @t274 @t3) @t1) (not (tptp.c_lessequals @t207 @t274 (tptp.tc_fun @t5 @t1)))))) % 0.48/0.93 (assume @p144 (forall @t26 (or @t277 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t276 @t5) @t276)))) % 0.48/0.93 (assume @p145 (forall @t26 (or @t277 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t276 @t3 @t5) @t276)))) % 0.48/0.93 (assume @p146 (forall @t26 (or (not (tptp.class_Orderings_Obot @t5)) (tptp.c_lessequals @t276 @t3 @t5)))) % 0.48/0.93 (assume @p147 (forall @t123 (or @t128 @t121 @t118))) % 0.48/0.93 (assume @p148 (forall @t129 (or @t128 @t117 (not @t126)))) % 0.48/0.93 (assume @p149 (forall @t127 (or @t128 @t126 @t118))) % 0.48/0.93 (assume @p150 (forall (@list @t5 @t2 @t3) (or @t279 (tptp.c_lessequals @t278 @t3 @t5) @t170))) % 0.48/0.93 (assume @p151 (forall @t38 (or @t53 @t280))) % 0.48/0.93 (assume @p152 (forall @t38 (or @t53 @t281))) % 0.48/0.93 (assume @p153 (forall @t75 (or @t285 (not @t284) @t283))) % 0.48/0.93 (assume @p154 (forall @t104 (tptp.c_lessequals @t62 @t8 @t6))) % 0.48/0.93 (assume @p155 (forall @t104 (tptp.c_lessequals @t62 @t2 @t6))) % 0.48/0.93 (assume @p156 (forall @t38 (or @t64 @t280))) % 0.48/0.93 (assume @p157 (forall @t38 (or @t64 @t281))) % 0.48/0.93 (assume @p158 (forall @t291 (or @t64 @t290 @t289 @t287))) % 0.48/0.93 (assume @p159 (forall @t54 (or @t64 @t294 @t293 @t86))) % 0.48/0.93 (assume @p160 (forall @t296 (or @t134 (= @t295 @t19) (not @t98)))) % 0.48/0.93 (assume @p161 (forall @t135 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t5)) @t202 @t201 @t298))) % 0.48/0.93 (assume @p162 (forall @t116 (not (= @t94 @t115)))) % 0.48/0.93 (assume @p163 (forall @t116 (not (= @t115 @t94)))) % 0.48/0.93 (assume @p164 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t299 @t144 @t6) @t7)))) % 0.48/0.93 (assume @p165 (forall @t304 (or (tptp.c_lessequals @t62 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t57 @t302 @t6) @t6) @t303 @t301))) % 0.48/0.93 (assume @p166 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t306 @t6) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t12 @t305 @t6)))) % 0.48/0.93 (assume @p167 (forall @t69 (or @t84 (not @t83) @t118))) % 0.48/0.93 (assume @p168 (forall @t69 (or @t84 @t83 @t117))) % 0.48/0.93 (assume @p169 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t62 @t57 @t6) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t307 @t6)))) % 0.48/0.93 (assume @p170 (forall @t296 (or @t134 (= @t295 (tptp.c_HOL_Oplus__class_Oplus @t308 (tptp.hAPP @t207 @t94) @t5)) @t98))) % 0.48/0.93 (assume @p171 (forall @t232 (or @t309 @t230))) % 0.48/0.93 (assume @p172 (forall @t232 (or @t96 (not @t231)))) % 0.48/0.93 (assume @p173 (forall @t311 (= (tptp.c_The @t310 @t5) @t3))) % 0.48/0.93 (assume @p174 (forall @t233 (or @t317 @t316 @t314))) % 0.48/0.93 (assume @p175 (forall @t321 (or @t320 @t319 @t90 (not @t318)))) % 0.48/0.93 (assume @p176 (forall @t321 (or @t320 @t319 @t318 @t183))) % 0.48/0.93 (assume @p177 (forall @t321 (or @t320 @t319 @t87 (not @t322)))) % 0.48/0.93 (assume @p178 (forall @t321 (or @t320 @t319 @t322 @t88))) % 0.48/0.93 (assume @p179 (forall (@list @t8 @t57 @t2 @t5) (or (= (tptp.c_HOL_Ominus__class_Ominus @t8 (tptp.c_HOL_Ominus__class_Ominus @t57 @t2 @t6) @t6) @t2) @t324 @t101))) % 0.48/0.93 (assume @p180 (forall @t296 (or @t134 (= @t308 (tptp.c_HOL_Oplus__class_Oplus (tptp.hAPP @t207 @t95) (tptp.c_Finite__Set_Osetsum @t207 (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t151 @t94 tptp.tc_nat) tptp.tc_nat @t5) @t5)) @t230))) % 0.48/0.93 (assume @p181 (forall @t38 (or @t84 @t90 @t89 @t86))) % 0.48/0.93 (assume @p182 (forall @t38 (or @t84 @t89 @t90 @t86))) % 0.48/0.93 (assume @p183 (forall @t69 (or @t84 @t267 @t214 @t118))) % 0.48/0.93 (assume @p184 (forall @t69 (or @t84 @t267 @t118 @t214))) % 0.48/0.93 (assume @p185 (forall @t38 (or @t92 @t89 @t86 @t90))) % 0.48/0.93 (assume @p186 (forall @t38 (or @t92 @t89 @t90 @t86))) % 0.48/0.93 (assume @p187 (forall @t325 (or @t84 @t80 @t132 @t214))) % 0.48/0.93 (assume @p188 (forall @t325 (or @t84 @t80 @t214 @t132))) % 0.48/0.93 (assume @p189 (forall @t28 (or @t31 @t297 (not @t326)))) % 0.48/0.93 (assume @p190 (forall @t28 (or @t31 @t326 @t298))) % 0.48/0.93 (assume @p191 (forall @t327 (= (tptp.c_Set_Ovimage @t207 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t8 @t163) @t5 @t1) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t240 @t242 @t6)))) % 0.48/0.93 (assume @p192 (forall @t63 (or @t329 (not @t328)))) % 0.48/0.93 (assume @p193 (forall @t61 (or @t328 (not @t329)))) % 0.48/0.93 (assume @p194 (forall @t331 (or @t315 @t330))) % 0.48/0.93 (assume @p195 (forall @t174 (or @t313 @t330))) % 0.48/0.93 (assume @p196 (forall @t114 (or @t332 @t113))) % 0.48/0.93 (assume @p197 (forall @t232 (or @t230 @t334))) % 0.48/0.93 (assume @p198 (forall @t105 (or @t333 @t96))) % 0.48/0.93 (assume @p199 (forall (@list @t2 @t8 @t5 @t1 @t65 @t3) (or @t335 (not (tptp.hBOOL (tptp.hAPP @t9 @t65))) @t170))) % 0.48/0.93 (assume @p200 (forall (@list @t2 @t8 @t5 @t1 @t65 @t20) (or @t335 (not (tptp.hBOOL (tptp.hAPP @t165 @t65))) @t162))) % 0.48/0.93 (assume @p201 (forall @t336 (or @t192 (= (tptp.c_HOL_Oplus__class_Oplus @t67 @t195 @t5) (tptp.c_HOL_Oplus__class_Oplus @t125 @t217 @t5))))) % 0.48/0.93 (assume @p202 (forall (@list @t57 @t8 @t5 @t2) (or @t284 @t337))) % 0.48/0.93 (assume @p203 (forall (@list @t57 @t2 @t5 @t8) (or @t282 @t337))) % 0.48/0.93 (assume @p204 (forall @t291 (or @t64 @t286 @t338))) % 0.48/0.93 (assume @p205 (forall (@list @t5 @t3 @t65 @t20) (or @t64 @t288 @t338))) % 0.48/0.93 (assume @p206 (forall @t108 (or @t64 @t341 @t340))) % 0.48/0.93 (assume @p207 (forall @t108 (or @t64 @t341 @t343))) % 0.48/0.93 (assume @p208 (forall @t54 (or @t64 @t85 @t344))) % 0.48/0.93 (assume @p209 (forall @t187 (or @t64 @t292 @t344))) % 0.48/0.93 (assume @p210 (forall (@list @t1 @t2 @t8) (or (not (tptp.class_HOL_Ominus @t1)) (= (tptp.hAPP (tptp.c_HOL_Ominus__class_Ominus @t2 @t8 @t345) tptp.v_x) (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t2 tptp.v_x) (tptp.hAPP @t8 tptp.v_x) @t1))))) % 0.48/0.93 (assume @p211 (forall (@list @t65 @t2 @t8 @t1 @t5 @t3) (or (tptp.hBOOL (tptp.c_in @t65 @t11 @t5)) (not (tptp.hBOOL (tptp.c_in @t65 @t9 @t5))) @t4))) % 0.48/0.93 (assume @p212 (forall (@list @t65 @t2 @t8 @t5 @t1 @t20) (or (tptp.hBOOL (tptp.c_in @t65 @t164 @t1)) (not (tptp.hBOOL (tptp.c_in @t65 @t165 @t1))) @t162))) % 0.48/0.93 (assume @p213 (forall (@list @t207 @t2 @t1 @t5 @t8) (or (tptp.c_lessequals @t247 @t246 @t163) @t101))) % 0.48/0.93 (assume @p214 (forall @t54 (or @t23 @t22 (not (= @t35 @t193)) (= @t33 @t48)))) % 0.48/0.93 (assume @p215 (forall @t129 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t5)) @t347 @t346))) % 0.48/0.93 (assume @p216 (forall @t129 (or @t348 @t347 @t346))) % 0.48/0.93 (assume @p217 (forall @t135 (or @t348 (not (= @t349 @t120)) @t346))) % 0.48/0.93 (assume @p218 (forall @t69 (or @t37 @t351 @t350 @t137))) % 0.48/0.93 (assume @p219 (forall @t69 (or @t37 @t351 @t352 @t298))) % 0.48/0.93 (assume @p220 (forall @t356 (or @t92 @t355 @t131 @t354))) % 0.48/0.93 (assume @p221 (forall @t358 (or @t92 @t357 @t131 @t354))) % 0.48/0.93 (assume @p222 (forall @t54 (or @t53 (tptp.c_lessequals @t361 @t360 @t5)))) % 0.48/0.93 (assume @p223 (forall @t18 (or @t16 @t363))) % 0.48/0.93 (assume @p224 (forall @t364 (or @t222 @t363))) % 0.48/0.93 (assume @p225 (forall @t129 (or @t31 @t365))) % 0.48/0.93 (assume @p226 (forall @t129 (or @t31 @t366))) % 0.48/0.93 (assume @p227 (forall @t129 (or @t367 @t366))) % 0.48/0.93 (assume @p228 (forall @t129 (or @t367 @t365))) % 0.48/0.93 (assume @p229 (forall @t104 (= (tptp.c_HOL_Ominus__class_Ominus @t12 @t8 @t6) @t12))) % 0.48/0.93 (assume @p230 (forall (@list @t3 @t368 @t5) (or @t370 (not @t369)))) % 0.48/0.93 (assume @p231 (forall (@list @t368 @t3 @t5) (or @t369 (not @t370)))) % 0.48/0.93 (assume @p232 (forall @t373 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t372 @t6) @t2))) % 0.48/0.93 (assume @p233 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t299 @t144 @t6) @t374) @t142 @t140))) % 0.48/0.93 (assume @p234 (forall (@list @t5 @t3 @t33 @t48 @t141) (or @t29 (not (= @t191 (tptp.c_HOL_Oplus__class_Oplus @t33 @t141 @t5))) (= @t193 @t141)))) % 0.48/0.93 (assume @p235 (forall @t152 (not (tptp.c_HOL_Oord__class_Oless @t95 @t149 tptp.tc_nat)))) % 0.48/0.93 (assume @p236 (forall @t116 (not (tptp.c_HOL_Oord__class_Oless @t94 @t149 tptp.tc_nat)))) % 0.48/0.93 (assume @p237 (forall @t69 (or @t37 (tptp.c_lessequals @t19 @t67 @t5) @t352 @t137))) % 0.48/0.93 (assume @p238 (forall (@list @t99 @t3 @t2 @t5) (or @t375 @t261))) % 0.48/0.93 (assume @p239 (forall @t104 (or @t376 (= @t12 @t2)))) % 0.48/0.93 (assume @p240 (forall @t218 (or @t122 (tptp.c_lessequals @t125 @t217 @t5) @t269 @t118))) % 0.48/0.93 (assume @p241 (forall (@list @t207 @t2 @t5) (= (tptp.c_Finite__Set_Ofold1 @t207 @t2 @t5) (tptp.c_The (tptp.c_Finite__Set_Ofold1Set @t207 @t2 @t5) @t5)))) % 0.48/0.93 (assume @p242 (forall @t263 (or (= @t262 @t12) @t377))) % 0.48/0.93 (assume @p243 (forall @t28 (or @t31 @t136 (not @t378)))) % 0.48/0.93 (assume @p244 (forall @t28 (or @t31 @t378 @t137))) % 0.48/0.93 (assume @p245 (forall (@list @t254 @t5 @t249 @t255 @t253 @t252 @t251 @t250 @t248) (or (= (tptp.hAPP @t254 @t7) @t249) @t256))) % 0.48/0.93 (assume @p246 (forall (@list @t255 @t5 @t248 @t254 @t253 @t252 @t251 @t250 @t249) (or (= (tptp.hAPP @t255 @t7) @t248) @t256))) % 0.48/0.93 (assume @p247 (forall (@list @t5 @t99 @t3) (or (not (= @t7 @t219)) @t379))) % 0.48/0.93 (assume @p248 (forall @t178 (tptp.c_lessequals @t7 @t7 @t6))) % 0.48/0.93 (assume @p249 (forall (@list @t99 @t5 @t3) (or (not (= @t219 @t7)) @t379))) % 0.48/0.93 (assume @p250 (forall @t381 (or @t379 @t380))) % 0.48/0.93 (assume @p251 (forall (@list @t207 @t1 @t5) (= (tptp.c_Set_Ovimage @t207 @t371 @t5 @t1) @t7))) % 0.48/0.93 (assume @p252 (forall @t382 (not (tptp.hBOOL (tptp.c_in @t20 @t7 @t5))))) % 0.48/0.93 (assume @p253 (forall (@list @t13 @t5) (not (tptp.hBOOL (tptp.c_in @t13 @t7 @t5))))) % 0.48/0.93 (assume @p254 (forall @t381 (or @t375 @t380))) % 0.48/0.93 (assume @p255 (forall @t311 @t380)) % 0.48/0.93 (assume @p256 (forall @t384 (or @t383 (not (tptp.c_lessequals @t2 @t7 @t6))))) % 0.48/0.93 (assume @p257 (forall (@list @t207 @t5 @t3) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t207 @t7 @t5) @t3))))) % 0.48/0.93 (assume @p258 (forall @t385 (= (tptp.c_HOL_Ominus__class_Ominus @t7 @t2 @t6) @t7))) % 0.48/0.93 (assume @p259 (forall @t384 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t7 @t6) @t2))) % 0.48/0.93 (assume @p260 (forall @t384 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t6) @t7))) % 0.48/0.93 (assume @p261 (forall @t386 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t8 @t6) @t7))) % 0.48/0.93 (assume @p262 (forall @t384 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t7 @t6) @t7))) % 0.48/0.93 (assume @p263 (forall @t385 (tptp.c_lessequals @t7 @t2 @t6))) % 0.48/0.93 (assume @p264 (forall @t390 (or (= @t389 @t2) @t162))) % 0.48/0.93 (assume @p265 (forall (@list @t207 @t20 @t65 @t1 @t5) (or (= @t241 @t65) (not (tptp.hBOOL (tptp.c_in @t20 (tptp.c_Set_Ovimage @t207 (tptp.c_Set_Oinsert @t65 @t371 @t1) @t5 @t1) @t5)))))) % 0.48/0.93 (assume @p266 (forall (@list @t20 @t207 @t5 @t391) (tptp.hBOOL (tptp.c_in @t20 (tptp.c_Set_Ovimage @t207 (tptp.c_Set_Oinsert @t241 @t7 @t5) @t391 @t5) @t391)))) % 0.48/0.93 (assume @p267 (forall @t174 (or @t167 @t101 @t173))) % 0.48/0.93 (assume @p268 (forall @t392 (or (= (tptp.c_HOL_Ominus__class_Ominus @t225 @t171 @t6) @t2) @t169))) % 0.48/0.93 (assume @p269 (forall @t69 (or @t279 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t394 @t5) @t106)))) % 0.48/0.93 (assume @p270 (forall (@list @t20 @t57 @t5 @t302) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t20 @t57 @t5) (tptp.c_Set_Oinsert @t20 @t302 @t5) @t6) (not (tptp.c_lessequals @t57 @t302 @t6))))) % 0.48/0.93 (assume @p271 (forall (@list @t254 @t20 @t2 @t5 @t250 @t255 @t253 @t252 @t251 @t249 @t248) (or (= (tptp.hAPP @t254 @t396) (tptp.hAPP @t395 @t257)) @t256))) % 0.48/0.93 (assume @p272 (forall (@list @t255 @t20 @t2 @t5 @t251 @t254 @t253 @t252 @t250 @t249 @t248) (or (= (tptp.hAPP @t255 @t396) (tptp.hAPP @t397 @t258)) @t256))) % 0.48/0.93 (assume @p273 (forall (@list @t20 @t2 @t5 @t65) (or @t161 @t214 (not @t398)))) % 0.48/0.93 (assume @p274 (forall (@list @t20 @t2 @t5 @t8) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t396 @t235 @t6) @t399))) % 0.48/0.93 (assume @p275 (forall @t233 (or @t100 @t227))) % 0.48/0.93 (assume @p276 (forall (@list @t2 @t65 @t8 @t5) (or (tptp.c_lessequals @t2 @t400 @t6) @t101))) % 0.48/0.93 (assume @p277 (forall (@list @t20 @t65 @t8 @t5) (or (tptp.hBOOL (tptp.c_in @t20 @t400 @t5)) (not (tptp.hBOOL (tptp.c_in @t20 @t8 @t5)))))) % 0.48/0.93 (assume @p278 (forall (@list @t20 @t65 @t2 @t5) (or @t398 @t162))) % 0.48/0.93 (assume @p279 (forall (@list @t8 @t20 @t5) (tptp.c_lessequals @t8 @t235 @t6))) % 0.48/0.93 (assume @p280 (forall (@list @t3 @t8 @t5) (tptp.hBOOL (tptp.c_in @t3 @t166 @t5)))) % 0.48/0.93 (assume @p281 (forall (@list @t20 @t8 @t5) (tptp.hBOOL (tptp.c_in @t20 @t235 @t5)))) % 0.48/0.93 (assume @p282 (forall @t392 (tptp.hBOOL (tptp.c_in @t3 @t225 @t5)))) % 0.48/0.93 (assume @p283 (forall @t263 (or (not (= @t225 @t166)) @t228 @t169 @t103))) % 0.48/0.93 (assume @p284 (forall @t390 (or (= @t396 @t2) @t162))) % 0.48/0.93 (assume @p285 (forall @t403 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t402 @t143 @t6) @t374) @t401))) % 0.48/0.93 (assume @p286 (forall @t38 (or @t404 (= @t77 @t3) @t88))) % 0.48/0.93 (assume @p287 (forall @t38 (or @t404 (not @t405) @t85))) % 0.48/0.93 (assume @p288 (forall @t38 (or @t404 @t405 @t86))) % 0.48/0.93 (assume @p289 (forall @t38 (or @t53 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t51 @t5) @t3)))) % 0.48/0.93 (assume @p290 (forall @t54 (or @t404 @t408 @t407 @t293))) % 0.48/0.93 (assume @p291 (forall @t410 (or @t404 (tptp.c_lessequals @t359 @t3 @t5) (not @t409) @t88))) % 0.48/0.93 (assume @p292 (forall @t93 (or @t404 @t411))) % 0.48/0.93 (assume @p293 (forall @t38 (or @t404 @t412))) % 0.48/0.93 (assume @p294 (forall @t108 (or @t404 @t413 @t343 @t340))) % 0.48/0.93 (assume @p295 (forall @t93 (or @t53 @t411))) % 0.48/0.93 (assume @p296 (forall @t38 (or @t53 @t412))) % 0.48/0.93 (assume @p297 (forall @t291 (or @t404 @t414 (not (tptp.c_HOL_Oord__class_Oless @t3 @t65 @t5))))) % 0.48/0.93 (assume @p298 (forall @t291 (or @t404 @t414 (not (tptp.c_HOL_Oord__class_Oless @t3 @t20 @t5))))) % 0.48/0.93 (assume @p299 (forall @t410 (or @t404 @t406 @t415))) % 0.48/0.93 (assume @p300 (forall @t187 (or @t404 @t292 @t415))) % 0.48/0.93 (assume @p301 (forall @t291 (or @t404 @t416 @t289))) % 0.48/0.93 (assume @p302 (forall @t291 (or @t404 @t416 @t287))) % 0.48/0.93 (assume @p303 (forall (@list @t5 @t65 @t3 @t20) (or @t404 @t342 @t417))) % 0.48/0.93 (assume @p304 (forall (@list @t5 @t20 @t3 @t65) (or @t404 @t339 @t417))) % 0.48/0.93 (assume @p305 (forall @t410 (or @t419 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t49 @t3 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t418 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t48 @t3 @t5) @t5))))) % 0.48/0.93 (assume @p306 (forall @t54 (or @t419 (= @t79 @t78)))) % 0.48/0.93 (assume @p307 (forall @t38 (or @t53 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t77 @t5) @t3)))) % 0.48/0.93 (assume @p308 (forall @t410 (or @t419 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t359 @t3 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t209 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t48 @t3 @t5) @t5))))) % 0.48/0.93 (assume @p309 (forall @t54 (or @t419 (= @t360 @t361)))) % 0.48/0.93 (assume @p310 (forall @t129 (or @t421 @t420))) % 0.48/0.93 (assume @p311 (forall @t129 (or @t421 @t422))) % 0.48/0.93 (assume @p312 (forall @t129 (or @t31 @t422))) % 0.48/0.93 (assume @p313 (forall @t129 (or @t31 @t420))) % 0.48/0.93 (assume @p314 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t424 @t423 @t6) @t7)))) % 0.48/0.93 (assume @p315 (forall @t430 (or @t429 @t428 @t427 (tptp.c_HOL_Oord__class_Oless @t425 @t3 @t5)))) % 0.48/0.93 (assume @p316 (forall @t430 (or @t429 @t428 @t427 (tptp.c_lessequals @t206 @t425 @t5)))) % 0.48/0.93 (assume @p317 (forall @t104 (or @t432 @t101))) % 0.48/0.93 (assume @p318 (forall @t104 (or (= @t431 @t2) @t102))) % 0.48/0.93 (assume @p319 (forall @t104 (or (not @t432) @t100))) % 0.48/0.93 (assume @p320 (forall @t18 (or @t16 @t222 (not @t433)))) % 0.48/0.93 (assume @p321 (forall @t63 (or @t434 @t324 @t301))) % 0.48/0.93 (assume @p322 (forall @t104 (tptp.c_lessequals @t2 @t431 @t6))) % 0.48/0.93 (assume @p323 (forall @t435 (tptp.c_lessequals @t8 @t431 @t6))) % 0.48/0.93 (assume @p324 (forall @t104 (= @t213 @t431))) % 0.48/0.93 (assume @p325 (forall @t435 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t212 @t2 @t6) @t436))) % 0.48/0.93 (assume @p326 (forall @t63 (= (tptp.c_HOL_Ominus__class_Ominus @t431 @t57 @t6) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t305 @t307 @t6)))) % 0.48/0.93 (assume @p327 (forall @t327 (= (tptp.c_Set_Ovimage @t207 @t437 @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t240 @t242 @t6)))) % 0.48/0.93 (assume @p328 (forall (@list @t2 @t8 @t1 @t160 @t5) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t437 @t160 @t1 @t6) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t2 @t160 @t1 @t6) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t8 @t160 @t1 @t6) @t6)))) % 0.48/0.93 (assume @p329 (forall @t439 (or @t300 @t438))) % 0.48/0.93 (assume @p330 (forall @t440 (or @t323 @t438))) % 0.48/0.93 (assume @p331 (forall @t224 (or @t433 @t17))) % 0.48/0.93 (assume @p332 (forall @t224 (or @t433 @t223))) % 0.48/0.93 (assume @p333 (forall @t61 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t59 @t6) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t431 @t441 @t6)))) % 0.48/0.93 (assume @p334 (forall @t440 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t59 @t2 @t6) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t436 @t442 @t6)))) % 0.48/0.93 (assume @p335 (forall @t304 (or (tptp.c_lessequals @t431 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t57 @t302 @t6) @t6) @t303 @t301))) % 0.48/0.93 (assume @p336 (forall @t61 (= @t443 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t58 @t6)))) % 0.48/0.93 (assume @p337 (forall @t440 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t306 @t2 @t6) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t211 @t74 @t6)))) % 0.48/0.93 (assume @p338 (forall @t63 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Lattices_Oupper__semilattice__class_Osup @t62 @t59 @t6) @t74 @t6) (tptp.c_Lattices_Olower__semilattice__class_Oinf (tptp.c_Lattices_Olower__semilattice__class_Oinf @t431 @t306 @t6) @t442 @t6)))) % 0.48/0.93 (assume @p339 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t424 @t423 @t6) @t374) @t142 @t140))) % 0.48/0.93 (assume @p340 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t145 @t444 @t6) @t7)))) % 0.48/0.93 (assume @p341 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t445 @t423 @t6) @t7)))) % 0.48/0.93 (assume @p342 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t299 @t444 @t6) @t7)))) % 0.48/0.93 (assume @p343 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t299 @t444 @t6) @t447) @t446 @t140))) % 0.48/0.93 (assume @p344 (forall @t135 (or @t128 @t134 @t202 @t138 @t298))) % 0.48/0.93 (assume @p345 (forall @t448 (or @t279 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t396 @t5) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t20 @t278 @t5))))) % 0.48/0.93 (assume @p346 (forall @t327 (= (tptp.c_Set_Ovimage @t207 (tptp.c_HOL_Ominus__class_Ominus @t2 @t8 @t163) @t5 @t1) (tptp.c_HOL_Ominus__class_Ominus @t240 @t242 @t6)))) % 0.48/0.93 (assume @p347 (forall (@list @t99 @t5) (= @t219 @t99))) % 0.48/0.93 (assume @p348 (forall @t364 (or @t222 @t15))) % 0.48/0.93 (assume @p349 (forall (@list @t2 @t3 @t8 @t5 @t449 @t1) (or (tptp.c_lessequals @t312 @t8 @t6) (not (tptp.hBOOL (tptp.c_in @t3 @t449 @t1))) (not (tptp.c_lessequals (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t449 @t2 @t1 @t6) @t8 @t6))))) % 0.48/0.93 (assume @p350 (forall (@list @t5 @t20 @t13) (or @t192 (= @t125 @t120)))) % 0.48/0.93 (assume @p351 (forall @t38 (or @t192 (= @t35 (tptp.c_HOL_Oplus__class_Oplus @t33 @t3 @t5))))) % 0.48/0.93 (assume @p352 (forall @t69 (or @t134 (= @t67 @t349)))) % 0.48/0.93 (assume @p353 (forall (@list @t2 @t111 @t449 @t5 @t1) (or (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.hAPP @t2 @t111) @t450 @t163) @t450) (not (tptp.hBOOL (tptp.c_in @t111 @t449 @t5)))))) % 0.48/0.93 (assume @p354 (forall @t356 (or @t84 @t355 @t118 @t452))) % 0.48/0.93 (assume @p355 (forall @t358 (or @t84 @t357 @t118 @t452))) % 0.48/0.93 (assume @p356 (forall @t336 (or @t84 @t451 (not @t357) (not @t355)))) % 0.48/0.93 (assume @p357 (forall @t63 (or @t453 @t283))) % 0.48/0.93 (assume @p358 (forall @t63 (or (not @t453) @t282))) % 0.48/0.93 (assume @p359 (forall (@list @t454 @t147) (or (not (= (tptp.c_Suc @t454) @t148)) (= @t454 @t147)))) % 0.48/0.93 (assume @p360 (forall (@list @t3 @t33) (or (not (= @t112 (tptp.c_Suc @t33))) @t89))) % 0.48/0.93 (assume @p361 (forall @t336 (or @t84 @t451 @t117))) % 0.48/0.93 (assume @p362 (tptp.c_HOL_Oord__class_Oless @t149 @t158 tptp.tc_nat)) % 0.48/0.93 (assume @p363 (forall @t105 (or (= @t94 @t95) @t334 @t98))) % 0.48/0.93 (assume @p364 (forall @t232 (or @t97 @t334 @t98))) % 0.48/0.93 (assume @p365 (forall @t232 (or @t97 @t96 (not @t309)))) % 0.48/0.93 (assume @p366 (forall @t304 (or (tptp.c_lessequals @t12 (tptp.c_HOL_Ominus__class_Ominus @t57 @t302 @t6) @t6) (not (tptp.c_lessequals @t302 @t8 @t6)) @t301))) % 0.48/0.93 (assume @p367 (forall @t229 (or @t377 @t170 @t376))) % 0.48/0.93 (assume @p368 (forall @t439 (= @t73 (tptp.c_HOL_Ominus__class_Ominus @t58 @t8 @t6)))) % 0.48/0.93 (assume @p369 (forall @t26 (or @t92 @t199))) % 0.48/0.93 (assume @p370 (forall @t26 (or @t84 @t199))) % 0.48/0.93 (assume @p371 (forall @t116 (not (tptp.c_HOL_Oord__class_Oless @t94 @t94 tptp.tc_nat)))) % 0.48/0.93 (assume @p372 (forall @t114 (not @t332))) % 0.48/0.93 (assume @p373 (forall @t26 (or @t186 @t199))) % 0.48/0.93 (assume @p374 (forall @t38 (or @t186 @t90 @t87 @t86))) % 0.48/0.93 (assume @p375 (forall @t69 (or @t37 @t351 @t350 @t298))) % 0.48/0.93 (assume @p376 (forall @t69 (or @t320 @t455 @t118))) % 0.48/0.93 (assume @p377 (forall @t69 (or @t320 @t117 (not @t455)))) % 0.48/0.93 (assume @p378 (forall @t218 (or @t271 @t270 @t272 @t268))) % 0.48/0.93 (assume @p379 (forall @t38 (or @t84 @t85 @t183))) % 0.48/0.93 (assume @p380 (forall @t38 (or @t186 @t85 @t183))) % 0.48/0.93 (assume @p381 (forall @t152 (not (= @t151 @t149)))) % 0.48/0.93 (assume @p382 (forall @t150 (not (= @t148 @t149)))) % 0.48/0.93 (assume @p383 (forall @t69 (or @t320 @t456 @t268))) % 0.48/0.93 (assume @p384 (forall @t69 (or @t320 @t267 (not @t456)))) % 0.48/0.93 (assume @p385 (= (tptp.hAPP @t457 tptp.v_x) (tptp.c_in tptp.v_x @t457 tptp.t_a))) % 0.48/0.93 (assume @p386 (= (tptp.c_GCD_Ogcd__class_OGCD @t459 tptp.tc_nat) @t149)) % 0.48/0.93 (assume @p387 (forall @t69 (or @t84 (not @t460) @t118))) % 0.48/0.93 (assume @p388 (forall @t69 (or @t84 @t460 @t117))) % 0.48/0.93 (assume @p389 (forall @t239 (or (= @t238 @t399) @t162))) % 0.48/0.93 (assume @p390 (forall @t237 (or (= @t236 (tptp.c_Set_Oinsert @t20 @t59 @t5)) (not @t234)))) % 0.48/0.93 (assume @p391 (forall @t116 (or (tptp.c_HOL_Oord__class_Oless @t149 @t94 tptp.tc_nat) @t159))) % 0.48/0.93 (assume @p392 (not (tptp.c_HOL_Oord__class_Oless @t149 @t149 tptp.tc_nat))) % 0.48/0.93 (assume @p393 (forall @t263 (or @t226 @t101 @t377))) % 0.48/0.93 (assume @p394 (forall @t38 (or @t53 @t461))) % 0.48/0.93 (assume @p395 (forall @t104 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t62 @t6) @t62))) % 0.48/0.93 (assume @p396 (forall @t38 (or @t64 @t461))) % 0.48/0.93 (assume @p397 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t445 @t423 @t6) @t143) @t142 @t462))) % 0.48/0.93 (assume @p398 (forall @t28 (or @t31 @t70 (not @t463)))) % 0.48/0.93 (assume @p399 (forall @t28 (or @t31 @t463 @t71))) % 0.48/0.93 (assume @p400 (forall @t384 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t2 @t2 @t6) @t2))) % 0.48/0.93 (assume @p401 (forall @t26 (or @t64 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t3 @t3 @t5) @t3)))) % 0.48/0.93 (assume @p402 (forall @t129 (or @t128 @t267 (not @t464)))) % 0.48/0.93 (assume @p403 (forall @t123 (or @t128 @t464 @t268))) % 0.48/0.93 (assume @p404 (forall @t123 (or @t271 @t464 @t268))) % 0.48/0.93 (assume @p405 (forall @t129 (or @t128 @t267 (not @t465)))) % 0.48/0.93 (assume @p406 (forall @t127 (or @t128 @t465 @t268))) % 0.48/0.93 (assume @p407 (forall @t127 (or @t271 @t465 @t268))) % 0.48/0.93 (assume @p408 (forall @t469 (or @t468 (= (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t207 @t274 @t345) tptp.v_x) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t467 @t466 @t1))))) % 0.48/0.93 (assume @p409 (forall @t473 (or @t472 @t471 @t379))) % 0.48/0.93 (assume @p410 (forall @t26 (or @t186 @t200))) % 0.48/0.93 (assume @p411 (forall @t26 (or @t84 @t200))) % 0.48/0.93 (assume @p412 (forall @t473 (or @t472 @t379 @t471))) % 0.48/0.93 (assume @p413 (forall @t439 (or @t300 @t324 @t101))) % 0.48/0.93 (assume @p414 (forall @t384 (tptp.c_lessequals @t2 @t2 @t6))) % 0.48/0.93 (assume @p415 (forall (@list @t474 @t8 @t5 @t2) (or (tptp.hBOOL (tptp.c_in @t474 @t8 @t5)) (not (tptp.hBOOL (tptp.c_in @t474 @t2 @t5))) @t101))) % 0.48/0.93 (assume @p416 (forall @t229 (or @t228 @t101 @t170))) % 0.48/0.93 (assume @p417 (forall @t311 (tptp.c_lessequals @t3 @t3 @t6))) % 0.48/0.93 (assume @p418 (forall @t18 (or @t16 @t223 @t101))) % 0.48/0.93 (assume @p419 (forall @t229 (or @t228 @t170 @t101))) % 0.48/0.93 (assume @p420 (forall @t187 (or @t186 @t185 @t184 @t86))) % 0.48/0.93 (assume @p421 (forall @t187 (or @t186 @t185 @t407 @t183))) % 0.48/0.93 (assume @p422 (forall (@list @t5 @t20 @t65 @t194 @t13) (or @t320 (tptp.c_lessequals @t20 @t217 @t5) @t269 (not (tptp.c_lessequals @t20 @t124 @t5))))) % 0.48/0.93 (assume @p423 (forall @t187 (or @t186 @t292 @t407 @t86))) % 0.48/0.93 (assume @p424 (forall @t69 (or @t37 (tptp.c_lessequals @t67 @t19 @t5) @t66 @t71))) % 0.48/0.93 (assume @p425 (forall @t182 (or @t84 @t181 @t180 @t88))) % 0.48/0.93 (assume @p426 (forall @t182 (or @t84 @t181 @t475 @t179))) % 0.48/0.93 (assume @p427 (forall @t182 (or @t84 @t409 @t475 @t88))) % 0.48/0.93 (assume @p428 (forall @t156 (or @t84 (not @t476) @t157))) % 0.48/0.93 (assume @p429 (forall @t156 (or @t84 @t476 @t153))) % 0.48/0.93 (assume @p430 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 @t444 @t6) @t477) @t446 @t140))) % 0.48/0.93 (assume @p431 (forall (@list @t5 @t110 @t95 @t94) (or @t92 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t110 @t95 @t5) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t110 @t94 @t5) @t6) (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t94 @t95 @t5)) (not (tptp.c_lessequals @t110 @t94 @t5))))) % 0.48/0.93 (assume @p432 (forall (@list @t3 @t2 @t99 @t5) (or @t260 @t379 @t170))) % 0.48/0.93 (assume @p433 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t59 @t6) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t12 @t305 @t6)))) % 0.48/0.93 (assume @p434 (forall (@list @t207 @t2 @t5 @t1 @t3) (or @t479 (not @t478)))) % 0.48/0.93 (assume @p435 (forall (@list @t2 @t207 @t3 @t5 @t1) (or @t478 (not @t479)))) % 0.48/0.93 (assume @p436 (forall @t224 (or @t362 @t17 @t223))) % 0.48/0.93 (assume @p437 (forall (@list @t5 @t3 @t2) (or @t279 (tptp.c_lessequals @t3 @t480 @t5) @t170))) % 0.48/0.93 (assume @p438 (forall @t325 (or @t186 @t81 @t268))) % 0.48/0.93 (assume @p439 (forall @t93 (or @t186 @t179 @t183))) % 0.48/0.93 (assume @p440 (forall @t93 (or @t92 @t87 @t85))) % 0.48/0.93 (assume @p441 (forall @t38 (or @t92 @t183 @t179))) % 0.48/0.93 (assume @p442 (forall @t69 (or @t84 @t268 @t81))) % 0.48/0.93 (assume @p443 (or @t47 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup tptp.v_f tptp.v_g @t46) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t45 @t44 tptp.t_b)))) % 0.48/0.93 (assume @p444 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t445 @t481 @t6) @t477) @t142 @t462))) % 0.48/0.93 (assume @p445 (forall (@list @t1) (or (not (tptp.class_Orderings_Obot @t1)) (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t345) tptp.v_x) (tptp.c_Orderings_Obot__class_Obot @t1))))) % 0.48/0.93 (assume @p446 (forall @t178 (or @t279 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t7 @t5) @t276)))) % 0.48/0.93 (assume @p447 (forall @t382 (= (tptp.c_Collect (tptp.c_fequal @t20 @t5) @t5) @t387))) % 0.48/0.93 (assume @p448 (forall (@list @t2 @t3 @t5) (or (= @t2 @t171) @t383 (not (tptp.c_lessequals @t2 @t171 @t6))))) % 0.48/0.93 (assume @p449 (forall @t311 (tptp.hBOOL (tptp.c_in @t3 @t171 @t5)))) % 0.48/0.93 (assume @p450 (forall @t311 (tptp.hBOOL (tptp.hAPP @t171 @t482)))) % 0.48/0.93 (assume @p451 (forall (@list @t20 @t1 @t8 @t5) (= (tptp.c_Set_Oinsert @t20 @t372 @t5) @t387))) % 0.48/0.93 (assume @p452 (forall (@list @t207 @t3 @t5) (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t207 @t171 @t5) @t3)))) % 0.48/0.93 (assume @p453 (forall @t28 (or @t92 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t387 @t5) @t20)))) % 0.48/0.93 (assume @p454 (forall (@list @t20 @t65 @t207 @t5) (or @t214 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Finite__Set_Ofold1Set @t207 @t387 @t5) @t65)))))) % 0.48/0.93 (assume @p455 (forall (@list @t65 @t20 @t5) (or (= @t65 @t20) (not (tptp.hBOOL (tptp.c_in @t65 @t387 @t5)))))) % 0.48/0.93 (assume @p456 (forall @t28 (or @t92 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t387 @t5) @t20)))) % 0.48/0.93 (assume @p457 (forall @t390 (= @t389 @t396))) % 0.48/0.93 (assume @p458 (forall (@list @t3 @t206 @t5) (or (not (= (tptp.c_Set_Oinsert @t3 @t206 @t5) @t7)) (tptp.hBOOL (tptp.c_in @t3 @t206 @t5))))) % 0.48/0.93 (assume @p459 (forall (@list @t254 @t20 @t5 @t255 @t253 @t252 @t251 @t250 @t249 @t248) (or (= (tptp.hAPP @t254 @t387) @t20) @t256))) % 0.48/0.93 (assume @p460 (forall (@list @t255 @t20 @t5 @t254 @t253 @t252 @t251 @t250 @t249 @t248) (or (= (tptp.hAPP @t255 @t387) @t20) @t256))) % 0.48/0.93 (assume @p461 (forall @t28 (or @t279 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t387 @t5) @t20)))) % 0.48/0.93 (assume @p462 (forall @t311 (= (tptp.c_The @t171 @t5) @t3))) % 0.48/0.93 (assume @p463 (forall (@list @t254 @t20 @t65 @t5 @t250 @t255 @t253 @t252 @t251 @t249 @t248) (or (= (tptp.hAPP @t254 @t394) (tptp.hAPP @t395 @t65)) @t256))) % 0.48/0.93 (assume @p464 (forall (@list @t255 @t20 @t65 @t5 @t251 @t254 @t253 @t252 @t250 @t249 @t248) (or (= (tptp.hAPP @t255 @t394) (tptp.hAPP @t397 @t65)) @t256))) % 0.48/0.93 (assume @p465 (forall @t239 (= @t483 (tptp.c_HOL_Ominus__class_Ominus @t12 @t387 @t6)))) % 0.48/0.93 (assume @p466 (forall @t239 (= @t483 (tptp.c_HOL_Ominus__class_Ominus @t388 @t8 @t6)))) % 0.48/0.93 (assume @p467 (forall @t311 (= (tptp.c_Set_Ocontents @t171 @t5) @t3))) % 0.48/0.93 (assume @p468 (forall (@list @t33 @t3 @t5) (or (= @t33 @t482) (not (tptp.hBOOL (tptp.hAPP @t171 @t33)))))) % 0.48/0.93 (assume @p469 (forall (@list @t207 @t20 @t5) (= (tptp.c_Finite__Set_Ofold1 @t207 @t387 @t5) @t20))) % 0.48/0.93 (assume @p470 (forall @t28 (or @t84 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t20 @t20 @t5) @t387)))) % 0.48/0.93 (assume @p471 (forall @t28 (or @t279 (= (tptp.c_Complete__Lattice_OInf__class_OInf @t387 @t5) @t20)))) % 0.48/0.93 (assume @p472 (forall (@list @t5 @t207 @t1) (or @t134 (= (tptp.c_Finite__Set_Osetsum @t207 @t371 @t1 @t5) @t19)))) % 0.48/0.93 (assume @p473 (forall (@list @t1 @t2 @t5 @t8) (= (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t371 @t2 @t1 @t6) @t8 @t6) @t8))) % 0.48/0.93 (assume @p474 (forall @t373 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t372 @t6) @t2))) % 0.48/0.93 (assume @p475 (forall @t448 (or @t279 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t396 @t5) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t20 @t480 @t5))))) % 0.48/0.93 (assume @p476 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t424 @t481 @t6) @t7)))) % 0.48/0.93 (assume @p477 (forall @t69 (or @t84 @t484 @t267))) % 0.48/0.93 (assume @p478 (forall @t69 (or @t84 (not @t484) @t268))) % 0.48/0.93 (assume @p479 (forall @t69 (or @t84 @t484 @t132))) % 0.48/0.93 (assume @p480 (forall @t69 (or @t84 @t485 @t267))) % 0.48/0.93 (assume @p481 (forall @t69 (or @t84 (not @t485) @t268))) % 0.48/0.93 (assume @p482 (forall @t403 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t447 @t486 @t6) @t374) @t401))) % 0.48/0.93 (assume @p483 (forall (@list @t20 @t2 @t1 @t8 @t5) (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (tptp.c_Set_Oinsert @t20 @t2 @t1) @t8 @t1 @t6) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t165 @t11 @t6)))) % 0.48/0.93 (assume @p484 (forall @t469 (or @t468 (= (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 @t274 @t345) tptp.v_x) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t467 @t466 @t1))))) % 0.48/0.93 (assume @p485 (forall @t430 (or @t429 @t428 (not (= (tptp.hAPP @t207 @t425) (tptp.hAPP @t274 @t425))) @t427))) % 0.48/0.93 (assume @p486 (forall @t146 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t424 @t481 @t6) @t447) @t142 @t140))) % 0.48/0.93 (assume @p487 (forall @t403 (or @t92 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t477 @t486 @t6) @t143) @t487))) % 0.48/0.93 (assume @p488 (forall @t156 (or @t84 (= (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t111 @t139 @t5) @t7) @t259))) % 0.48/0.93 (assume @p489 (forall @t152 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t95 @t149 tptp.tc_nat) @t459))) % 0.48/0.93 (assume @p490 @t488) % 0.48/0.93 (assume @p491 (forall @t490 (= (tptp.c_GCD_Ogcd__class_OGCD @t489 tptp.tc_nat) @t20))) % 0.48/0.93 (assume @p492 (forall @t490 (= (tptp.c_GCD_Ogcd__class_OLCM @t489 tptp.tc_nat) @t20))) % 0.48/0.93 (assume @p493 (forall (@list @t139 @t141) (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan (tptp.c_Suc @t139) @t141 tptp.tc_nat) (tptp.c_SetInterval_Oord__class_OgreaterThanLessThan @t139 @t141 tptp.tc_nat)))) % 0.48/0.93 (assume @p494 (forall @t69 (or @t279 (= (tptp.c_Complete__Lattice_OSup__class_OSup @t394 @t5) @t130)))) % 0.48/0.93 (assume @p495 (forall @t245 (= (tptp.c_Set_Ovimage @t207 (tptp.c_Set_Oinsert @t20 @t8 @t1) @t5 @t1) (tptp.c_Lattices_Oupper__semilattice__class_Osup (tptp.c_Set_Ovimage @t207 (tptp.c_Set_Oinsert @t20 @t371 @t1) @t5 @t1) @t242 @t6)))) % 0.48/0.93 (assume @p496 (forall @t146 (or @t84 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t445 @t481 @t6) @t7)))) % 0.48/0.93 (assume @p497 (forall @t152 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t95 @t151 tptp.tc_nat) (tptp.c_Set_Oinsert @t95 @t459 tptp.tc_nat)))) % 0.48/0.93 (assume @p498 @t493) % 0.48/0.93 (assume @p499 (or (not @t497) (= (tptp.c_HOL_Oplus__class_Oplus (tptp.hAPP tptp.v_f tptp.v_m) (tptp.c_Finite__Set_Osetsum tptp.v_f @t494 tptp.tc_nat tptp.t_a) tptp.t_a) @t496))) % 0.48/0.93 (assume @p500 (forall @t392 (tptp.hBOOL (tptp.hAPP @t225 @t3)))) % 0.48/0.93 (assume @p501 (forall @t448 (not (= @t7 @t396)))) % 0.48/0.93 (assume @p502 (forall (@list @t2 @t3 @t33 @t5) (or @t313 (= @t33 @t3) (not @t499)))) % 0.48/0.93 (assume @p503 (forall @t392 (= (tptp.c_Set_Oinsert @t3 @t225 @t5) @t225))) % 0.48/0.93 (assume @p504 (forall @t237 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t235 @t57 @t6) (tptp.c_Set_Oinsert @t20 @t306 @t5)))) % 0.48/0.93 (assume @p505 (forall @t239 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t235 @t6) (tptp.c_Set_Oinsert @t20 @t431 @t5)))) % 0.48/0.93 (assume @p506 (forall (@list @t206 @t3 @t5) (= (tptp.c_Set_Oinsert @t206 @t171 @t5) (tptp.c_Set_Oinsert @t3 (tptp.c_Set_Oinsert @t206 @t7 @t5) @t5)))) % 0.48/0.93 (assume @p507 (forall @t178 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t7 @t6) @t7))) % 0.48/0.93 (assume @p508 (forall @t503 (or @t502 @t501 @t500))) % 0.48/0.93 (assume @p509 (forall @t503 (or @t502 @t346 @t500))) % 0.48/0.93 (assume @p510 (forall @t503 (or @t502 @t501 @t504))) % 0.48/0.93 (assume @p511 (forall @t503 (or @t502 @t346 @t504))) % 0.48/0.93 (assume @p512 (forall @t26 (not (tptp.hBOOL (tptp.hAPP @t7 @t3))))) % 0.48/0.93 (assume @p513 (forall @t26 (or @t277 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t276 @t5) @t3)))) % 0.48/0.93 (assume @p514 (forall @t26 (or @t277 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t276 @t3 @t5) @t3)))) % 0.48/0.93 (assume @p515 (forall @t386 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t8 @t6) @t8))) % 0.48/0.93 (assume @p516 (forall @t384 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t7 @t6) @t2))) % 0.48/0.93 (assume @p517 (forall @t331 (or @t315 @t313 (not @t505)))) % 0.48/0.93 (assume @p518 (forall @t233 (or @t505 @t316))) % 0.48/0.93 (assume @p519 (forall @t233 (or @t505 @t314))) % 0.48/0.93 (assume @p520 (forall @t390 (not (= @t396 @t7)))) % 0.48/0.93 (assume @p521 (forall @t26 (or @t404 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t3 @t3 @t5) @t3)))) % 0.48/0.93 (assume @p522 (forall @t384 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t2 @t6) @t2))) % 0.48/0.93 (assume @p523 (forall (@list @t3 @t33 @t2 @t5) (= (tptp.c_Set_Oinsert @t3 @t498 @t5) (tptp.c_Set_Oinsert @t33 @t225 @t5)))) % 0.48/0.93 (assume @p524 (forall @t54 (or @t404 @t507))) % 0.48/0.93 (assume @p525 (forall @t54 (or @t404 @t508))) % 0.48/0.93 (assume @p526 (forall @t63 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t431 @t57 @t6) @t509))) % 0.48/0.93 (assume @p527 (forall @t61 (= @t509 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t8 @t441 @t6)))) % 0.48/0.93 (assume @p528 (forall @t54 (or @t53 @t507))) % 0.48/0.93 (assume @p529 (forall @t54 (or @t53 @t508))) % 0.48/0.93 (assume @p530 (forall (@list @t20 @t5 @t65) (or (not (= @t387 @t393)) @t214))) % 0.48/0.93 (assume @p531 (forall (@list @t33 @t2 @t5 @t3) (or @t499 @t314))) % 0.48/0.93 (assume @p532 (forall @t511 (or @t277 @t510 (= @t8 @t276)))) % 0.48/0.93 (assume @p533 (forall @t511 (or @t277 @t510 (= @t2 @t276)))) % 0.48/0.93 (assume @p534 (forall @t104 (or @t512 @t383))) % 0.48/0.93 (assume @p535 (forall @t104 (or @t512 (= @t8 @t7)))) % 0.48/0.93 (assume @p536 (forall @t38 (or @t404 @t513))) % 0.48/0.93 (assume @p537 (forall @t104 (= @t431 @t436))) % 0.48/0.93 (assume @p538 (forall @t38 (or @t53 @t513))) % 0.48/0.93 (assume @p539 (forall @t390 (= @t396 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t387 @t2 @t6)))) % 0.48/0.93 (assume @p540 (forall @t38 (or @t404 @t514))) % 0.48/0.93 (assume @p541 (forall @t104 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t2 @t431 @t6) @t431))) % 0.48/0.93 (assume @p542 (forall @t38 (or @t53 @t514))) % 0.48/0.93 (assume @p543 @t497) % 0.48/0.93 (assume @p544 (not @t516)) % 0.48/0.93 (assume @p545 (forall @t519 (or @t518 (tptp.class_OrderedGroup_Oab__semigroup__add @t517)))) % 0.48/0.93 (assume @p546 (forall @t519 (or @t518 (tptp.class_OrderedGroup_Omonoid__add @t517)))) % 0.48/0.93 (assume @p547 (forall @t523 (or (tptp.class_Complete__Lattice_Ocomplete__lattice @t522) (not (tptp.class_Complete__Lattice_Ocomplete__lattice @t520))))) % 0.48/0.93 (assume @p548 (forall @t523 (or (tptp.class_Lattices_Oupper__semilattice @t522) @t524))) % 0.48/0.93 (assume @p549 (forall @t523 (or (tptp.class_Lattices_Olower__semilattice @t522) @t524))) % 0.48/0.93 (assume @p550 (forall @t523 (or (tptp.class_Lattices_Odistrib__lattice @t522) (not (tptp.class_Lattices_Odistrib__lattice @t520))))) % 0.48/0.93 (assume @p551 (forall @t523 (or (tptp.class_Lattices_Obounded__lattice @t522) (not (tptp.class_Lattices_Obounded__lattice @t520))))) % 0.48/0.93 (assume @p552 (forall @t523 (or (tptp.class_Orderings_Opreorder @t522) (not (tptp.class_Orderings_Opreorder @t520))))) % 0.48/0.93 (assume @p553 (forall @t523 (or (tptp.class_Lattices_Olattice @t522) @t524))) % 0.48/0.93 (assume @p554 (forall @t523 (or (tptp.class_Orderings_Oorder @t522) (not (tptp.class_Orderings_Oorder @t520))))) % 0.48/0.93 (assume @p555 (forall @t523 (or (tptp.class_Orderings_Obot @t522) (not (tptp.class_Orderings_Obot @t520))))) % 0.48/0.93 (assume @p556 (forall @t523 (or (tptp.class_HOL_Ominus @t522) (not (tptp.class_HOL_Ominus @t520))))) % 0.48/0.93 (assume @p557 (forall @t523 (or (tptp.class_HOL_Oord @t522) (not (tptp.class_HOL_Oord @t520))))) % 0.48/0.93 (assume @p558 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.48/0.93 (assume @p559 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.48/0.93 (assume @p560 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.48/0.93 (assume @p561 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.48/0.93 (assume @p562 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.48/0.93 (assume @p563 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.48/0.93 (assume @p564 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.48/0.93 (assume @p565 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.48/0.93 (assume @p566 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.48/0.93 (assume @p567 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.48/0.93 (assume @p568 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.48/0.93 (assume @p569 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.48/0.93 (assume @p570 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.48/0.93 (assume @p571 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.48/0.93 (assume @p572 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.48/0.93 (assume @p573 @t525) % 0.48/0.93 (assume @p574 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.48/0.93 (assume @p575 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.48/0.93 (assume @p576 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.48/0.93 (assume @p577 (tptp.class_HOL_Ominus tptp.tc_nat)) % 0.48/0.93 (assume @p578 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.48/0.93 (assume @p579 (tptp.class_Complete__Lattice_Ocomplete__lattice tptp.tc_bool)) % 0.48/0.93 (assume @p580 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.48/0.93 (assume @p581 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.48/0.93 (assume @p582 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.48/0.93 (assume @p583 (tptp.class_Lattices_Obounded__lattice tptp.tc_bool)) % 0.48/0.93 (assume @p584 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.48/0.93 (assume @p585 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.48/0.93 (assume @p586 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.48/0.93 (assume @p587 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.48/0.93 (assume @p588 (tptp.class_HOL_Ominus tptp.tc_bool)) % 0.48/0.93 (assume @p589 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.48/0.93 (assume @p590 (forall @t311 (tptp.hBOOL (tptp.hAPP @t310 @t3)))) % 0.48/0.93 (assume @p591 (forall (@list @t527 @t526 @t5) (or (= @t527 @t526) (not (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t527 @t5) @t526)))))) % 0.48/0.93 (step @p592 :rule refl :args (@t487)) % 0.48/0.93 (step @p593 :rule eq-symm :args (@t491 @t447)) % 0.48/0.93 (step @p594 :rule refl :args (@t92)) % 0.48/0.93 (step @p595 :rule nary_cong :premises (@p594 @p593 @p592) :args (@t492)) % 0.48/0.93 (step @p596 :rule cong :premises (@p595) :args (@t493)) % 0.48/0.93 (step @p597 :rule eq_resolve :premises (@p498 @p596)) % 0.48/0.93 (step @p598 :rule refl :args (@t528)) % 0.48/0.93 (step @p599 :rule eq-symm :args (@t515 @t495)) % 0.48/0.93 (step @p600 :rule refl :args (@t529)) % 0.48/0.93 (step @p601 :rule nary_cong :premises (@p600 @p599 @p598) :args (@t530)) % 0.48/0.93 (step @p602 :rule refl :args (@t531)) % 0.48/0.93 (step @p603 :rule cong :premises (@p602 @p601) :args ((=> @t531 @t530))) % 0.48/0.93 (assume-push @p624 @t531) % 0.48/0.93 (step @p605 :rule instantiate :premises (@p597) :args ((@list tptp.tc_nat tptp.v_m tptp.v_n))) % 0.48/0.93 (step-pop @p625 :rule scope :premises (@p605)) % 0.48/0.93 (step @p606 :rule process_scope :premises (@p625) :args (@t530)) % 0.48/0.93 (step @p608 :rule eq_resolve :premises (@p606 @p603)) % 0.48/0.93 (step @p609 :rule implies_elim :premises (@p608)) % 0.48/0.93 (step @p610 :rule chain_m_resolution :premises (@p609 @p597) :args (@t533 (@list false) (@list @t531))) % 0.48/0.93 (step @p611 :rule cnf_or_pos :args (@t533)) % 0.48/0.93 (step @p612 :rule reordering :premises (@p611) :args ((or @t528 @t529 @t532 (not @t533)))) % 0.48/0.93 (step @p613 :rule chain_m_resolution :premises (@p612 @p490 @p573 @p610) :args (@t532 (@list false false false) (@list @t488 @t525 @t533))) % 0.48/0.93 (assume-push @p626 @t532) % 0.48/0.93 (step @p615 :rule refl :args (tptp.t_a)) % 0.48/0.93 (step @p616 :rule refl :args (tptp.tc_nat)) % 0.48/0.93 (step @p617 :rule refl :args (tptp.v_f)) % 0.48/0.93 (step @p618 :rule cong :premises (@p617 @p613 @p616 @p615) :args (@t496)) % 0.48/0.93 (step-pop @p627 :rule scope :premises (@p618)) % 0.48/0.93 (step @p619 :rule process_scope :premises (@p627) :args (@t516)) % 0.48/0.93 (step @p621 :rule implies_elim :premises (@p619)) % 0.48/0.93 (step @p622 :rule reordering :premises (@p621) :args ((or @t516 (not @t532)))) % 0.48/0.93 (step @p623 false :rule chain_m_resolution :premises (@p622 @p613 @p544) :args (false (@list false true) (@list @t532 @t516))) % 0.48/0.93 ) % 0.48/0.93 % SZS output end Proof % 0.48/0.93 % cvc5 exiting %------------------------------------------------------------------------------