%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT086-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:17 AM UTC 2026 % Result : Unsatisfiable 1.14s 1.31s % Output : Proof 1.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT086-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:24:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.14/1.31 % SZS status Unsatisfiable % 1.14/1.31 % SZS output start Proof % 1.14/1.33 ( % 1.14/1.33 (declare-sort $$unsorted 0) % 1.14/1.33 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.v_sko__local__Xthat__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.v_F $$unsorted) % 1.14/1.33 (declare-const tptp.v_a____ $$unsorted) % 1.14/1.33 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.v_Lba____ $$unsorted) % 1.14/1.33 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.14/1.33 (declare-const tptp.v_b____ $$unsorted) % 1.14/1.33 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Odivision__by__zero (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.v_h____ $$unsorted) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_in (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Set_Ovimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.tc_bool $$unsorted) % 1.14/1.33 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Orderings_Oorder (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.v_thesis____ Bool) % 1.14/1.33 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.v_Lab____ $$unsorted) % 1.14/1.33 (declare-const tptp.c_HOL_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_HOL_OIf (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.tc_nat $$unsorted) % 1.14/1.33 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.14/1.33 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Orderings_Opreorder (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Orderings_Olinorder (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_List_Oall__from__to__nat (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.14/1.33 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.v_n $$unsorted) % 1.14/1.33 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted)) % 1.14/1.33 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.14/1.33 (define @t1 () (@var "T_a" $$unsorted)) % 1.14/1.33 (define @t2 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 1.14/1.33 (define @t3 () (@var "V_b" $$unsorted)) % 1.14/1.33 (define @t4 () (@var "V_a" $$unsorted)) % 1.14/1.33 (define @t5 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t3 @t1)) % 1.14/1.33 (define @t6 () (tptp.c_lessequals @t1)) % 1.14/1.33 (define @t7 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t5) @t2))) % 1.14/1.33 (define @t8 () (tptp.c_HOL_Ouminus__class_Ouminus @t3 @t1)) % 1.14/1.33 (define @t9 () (tptp.hAPP @t6 @t4)) % 1.14/1.33 (define @t10 () (tptp.hBOOL (tptp.hAPP @t9 @t8))) % 1.14/1.33 (define @t11 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 1.14/1.33 (define @t12 () (@list @t1 @t4 @t3)) % 1.14/1.33 (define @t13 () (not @t10)) % 1.14/1.33 (define @t14 () (tptp.tc_fun @t1 tptp.tc_bool)) % 1.14/1.33 (define @t15 () (tptp.c_Orderings_Obot__class_Obot @t14)) % 1.14/1.33 (define @t16 () (tptp.c_Orderings_Otop__class_Otop @t14)) % 1.14/1.33 (define @t17 () (@list @t1)) % 1.14/1.33 (define @t18 () (@var "V_z" $$unsorted)) % 1.14/1.33 (define @t19 () (tptp.c_HOL_Ouminus__class_Ouminus @t18 @t1)) % 1.14/1.33 (define @t20 () (@var "V_x" $$unsorted)) % 1.14/1.33 (define @t21 () (@var "V_y" $$unsorted)) % 1.14/1.33 (define @t22 () (tptp.c_HOL_Oplus__class_Oplus @t21 @t18 @t1)) % 1.14/1.33 (define @t23 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t22 @t1)) % 1.14/1.33 (define @t24 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 1.14/1.33 (define @t25 () (@list @t1 @t20 @t21 @t18)) % 1.14/1.33 (define @t26 () (tptp.c_HOL_Ouminus__class_Ouminus @t4 @t1)) % 1.14/1.33 (define @t27 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 1.14/1.33 (define @t28 () (tptp.c_HOL_Ouminus__class_Ouminus @t5 @t1)) % 1.14/1.33 (define @t29 () (tptp.c_HOL_Oord__class_Oless @t1)) % 1.14/1.33 (define @t30 () (tptp.hAPP @t29 @t8)) % 1.14/1.33 (define @t31 () (tptp.hBOOL (tptp.hAPP @t30 @t4))) % 1.14/1.33 (define @t32 () (tptp.hAPP @t29 @t26)) % 1.14/1.33 (define @t33 () (tptp.hBOOL (tptp.hAPP @t32 @t3))) % 1.14/1.33 (define @t34 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 1.14/1.33 (define @t35 () (@list @t1 @t3 @t4)) % 1.14/1.33 (define @t36 () (tptp.hAPP @t29 @t3)) % 1.14/1.33 (define @t37 () (tptp.hBOOL (tptp.hAPP @t36 @t26))) % 1.14/1.33 (define @t38 () (tptp.hAPP @t29 @t4)) % 1.14/1.33 (define @t39 () (tptp.hBOOL (tptp.hAPP @t38 @t8))) % 1.14/1.33 (define @t40 () (tptp.hBOOL (tptp.hAPP @t38 @t3))) % 1.14/1.33 (define @t41 () (not @t40)) % 1.14/1.33 (define @t42 () (tptp.hBOOL (tptp.hAPP @t30 @t26))) % 1.14/1.33 (define @t43 () (tptp.hAPP @t6 @t8)) % 1.14/1.33 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t4))) % 1.14/1.33 (define @t45 () (tptp.hAPP @t6 @t26)) % 1.14/1.33 (define @t46 () (tptp.hBOOL (tptp.hAPP @t45 @t3))) % 1.14/1.33 (define @t47 () (tptp.hAPP @t6 @t3)) % 1.14/1.33 (define @t48 () (tptp.hBOOL (tptp.hAPP @t47 @t26))) % 1.14/1.33 (define @t49 () (tptp.hBOOL (tptp.hAPP @t43 @t26))) % 1.14/1.33 (define @t50 () (tptp.hBOOL (tptp.hAPP @t9 @t3))) % 1.14/1.33 (define @t51 () (not @t50)) % 1.14/1.33 (define @t52 () (tptp.c_Orderings_Obot__class_Obot @t1)) % 1.14/1.33 (define @t53 () (@list @t1 @t20)) % 1.14/1.33 (define @t54 () (tptp.c_in @t1)) % 1.14/1.33 (define @t55 () (tptp.hAPP @t54 @t20)) % 1.14/1.33 (define @t56 () (not (tptp.hBOOL (tptp.hAPP @t55 @t15)))) % 1.14/1.33 (define @t57 () (@var "V_P" $$unsorted)) % 1.14/1.33 (define @t58 () (tptp.hBOOL (tptp.hAPP @t57 @t20))) % 1.14/1.33 (define @t59 () (@list @t57 @t20 @t1)) % 1.14/1.33 (define @t60 () (@var "V_A" $$unsorted)) % 1.14/1.33 (define @t61 () (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t14)) % 1.14/1.33 (define @t62 () (@var "V_c" $$unsorted)) % 1.14/1.33 (define @t63 () (tptp.hAPP @t54 @t62)) % 1.14/1.33 (define @t64 () (tptp.hBOOL (tptp.hAPP @t63 @t61))) % 1.14/1.33 (define @t65 () (tptp.hBOOL (tptp.hAPP @t63 @t60))) % 1.14/1.33 (define @t66 () (@list @t1 @t62 @t60)) % 1.14/1.33 (define @t67 () (tptp.hAPP @t54 @t4)) % 1.14/1.33 (define @t68 () (@list @t1 @t4)) % 1.14/1.33 (define @t69 () (tptp.c_HOL_Ouminus__class_Ouminus @t8 @t1)) % 1.14/1.33 (define @t70 () (@list @t1 @t3)) % 1.14/1.33 (define @t71 () (tptp.c_HOL_Ouminus__class_Ouminus @t26 @t1)) % 1.14/1.33 (define @t72 () (tptp.c_HOL_Ouminus__class_Ouminus @t20 @t1)) % 1.14/1.33 (define @t73 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 1.14/1.33 (define @t74 () (@list @t60 @t1)) % 1.14/1.33 (define @t75 () (tptp.c_HOL_Oinverse__class_Odivide @t4 @t3 @t1)) % 1.14/1.33 (define @t76 () (tptp.c_HOL_Ouminus__class_Ouminus @t75 @t1)) % 1.14/1.33 (define @t77 () (not (tptp.class_Ring__and__Field_Ofield @t1))) % 1.14/1.33 (define @t78 () (= @t76 (tptp.c_HOL_Oinverse__class_Odivide @t4 @t8 @t1))) % 1.14/1.33 (define @t79 () (not (tptp.class_Ring__and__Field_Odivision__by__zero @t1))) % 1.14/1.33 (define @t80 () (= @t4 @t2)) % 1.14/1.33 (define @t81 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 1.14/1.33 (define @t82 () (= @t3 @t2)) % 1.14/1.33 (define @t83 () (= (tptp.c_HOL_Oinverse__class_Odivide @t26 @t8 @t1) @t75)) % 1.14/1.33 (define @t84 () (@var "T_b" $$unsorted)) % 1.14/1.33 (define @t85 () (@var "V_f" $$unsorted)) % 1.14/1.33 (define @t86 () (tptp.c_Set_Ovimage @t85 @t60 @t1 @t84)) % 1.14/1.33 (define @t87 () (tptp.tc_fun @t84 tptp.tc_bool)) % 1.14/1.33 (define @t88 () (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t4 @t1) @t2)) % 1.14/1.33 (define @t89 () (tptp.hBOOL (tptp.hAPP @t9 @t2))) % 1.14/1.33 (define @t90 () (not @t89)) % 1.14/1.33 (define @t91 () (tptp.hAPP @t6 @t2)) % 1.14/1.33 (define @t92 () (tptp.hBOOL (tptp.hAPP @t91 @t26))) % 1.14/1.33 (define @t93 () (tptp.hAPP @t29 @t2)) % 1.14/1.33 (define @t94 () (tptp.hBOOL (tptp.hAPP @t93 @t4))) % 1.14/1.33 (define @t95 () (not @t94)) % 1.14/1.33 (define @t96 () (tptp.hBOOL (tptp.hAPP @t32 @t2))) % 1.14/1.33 (define @t97 () (tptp.hBOOL (tptp.hAPP @t91 @t4))) % 1.14/1.33 (define @t98 () (not @t97)) % 1.14/1.33 (define @t99 () (tptp.hBOOL (tptp.hAPP @t45 @t4))) % 1.14/1.33 (define @t100 () (not @t99)) % 1.14/1.33 (define @t101 () (tptp.hBOOL (tptp.hAPP @t9 @t26))) % 1.14/1.33 (define @t102 () (not @t101)) % 1.14/1.33 (define @t103 () (tptp.c_Orderings_Obot__class_Obot @t87)) % 1.14/1.33 (define @t104 () (@var "V_R" $$unsorted)) % 1.14/1.33 (define @t105 () (not (= @t5 @t2))) % 1.14/1.33 (define @t106 () (tptp.c_Orderings_Otop__class_Otop @t1)) % 1.14/1.33 (define @t107 () (= @t20 @t21)) % 1.14/1.33 (define @t108 () (@list @t1 @t20 @t21)) % 1.14/1.33 (define @t109 () (= @t4 @t3)) % 1.14/1.33 (define @t110 () (@var "V_B" $$unsorted)) % 1.14/1.33 (define @t111 () (tptp.c_HOL_Ouminus__class_Ouminus @t110 @t14)) % 1.14/1.33 (define @t112 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 1.14/1.33 (define @t113 () (tptp.hBOOL (tptp.hAPP @t45 @t2))) % 1.14/1.33 (define @t114 () (@var "V_r" $$unsorted)) % 1.14/1.33 (define @t115 () (= @t112 @t2)) % 1.14/1.33 (define @t116 () (tptp.hBOOL (tptp.hAPP @t38 @t2))) % 1.14/1.33 (define @t117 () (not @t116)) % 1.14/1.33 (define @t118 () (tptp.hBOOL (tptp.hAPP @t93 @t26))) % 1.14/1.33 (define @t119 () (@list @t85 @t84 @t1)) % 1.14/1.33 (define @t120 () (tptp.hBOOL (tptp.hAPP @t38 @t26))) % 1.14/1.33 (define @t121 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 1.14/1.33 (define @t122 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t75) @t2))) % 1.14/1.33 (define @t123 () (not @t122)) % 1.14/1.33 (define @t124 () (tptp.hBOOL (tptp.hAPP @t47 @t2))) % 1.14/1.33 (define @t125 () (not (tptp.class_Ring__and__Field_Oordered__field @t1))) % 1.14/1.33 (define @t126 () (tptp.hBOOL (tptp.hAPP @t91 @t3))) % 1.14/1.33 (define @t127 () (not @t126)) % 1.14/1.33 (define @t128 () (not @t124)) % 1.14/1.33 (define @t129 () (@var "V_n" $$unsorted)) % 1.14/1.33 (define @t130 () (tptp.c_Suc @t129)) % 1.14/1.33 (define @t131 () (not (tptp.class_Power_Opower @t1))) % 1.14/1.33 (define @t132 () (@list @t1 @t129)) % 1.14/1.33 (define @t133 () (tptp.c_Power_Opower__class_Opower @t4 @t129 @t1)) % 1.14/1.33 (define @t134 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 1.14/1.33 (define @t135 () (@list @t1 @t4 @t129)) % 1.14/1.33 (define @t136 () (tptp.c_HOL_Oone__class_Oone @t1)) % 1.14/1.33 (define @t137 () (tptp.c_Relation_OId__on @t60 @t1)) % 1.14/1.33 (define @t138 () (@var "V_less" $$unsorted)) % 1.14/1.33 (define @t139 () (@var "V_less__eq" $$unsorted)) % 1.14/1.33 (define @t140 () (not (tptp.c_Orderings_Oorder @t139 @t138 @t1))) % 1.14/1.33 (define @t141 () (tptp.hAPP @t138 @t20)) % 1.14/1.33 (define @t142 () (tptp.hBOOL (tptp.hAPP @t141 @t20))) % 1.14/1.33 (define @t143 () (not @t142)) % 1.14/1.33 (define @t144 () (@list @t138 @t20 @t139 @t1)) % 1.14/1.33 (define @t145 () (tptp.hBOOL (tptp.hAPP @t141 @t21))) % 1.14/1.33 (define @t146 () (not @t145)) % 1.14/1.33 (define @t147 () (tptp.hAPP @t139 @t20)) % 1.14/1.33 (define @t148 () (tptp.hBOOL (tptp.hAPP @t147 @t21))) % 1.14/1.33 (define @t149 () (@list @t139 @t20 @t21 @t138 @t1)) % 1.14/1.33 (define @t150 () (not (tptp.hBOOL (tptp.hAPP @t38 @t136)))) % 1.14/1.33 (define @t151 () (tptp.c_Power_Opower__class_Opower @t4 @t130 @t1)) % 1.14/1.33 (define @t152 () (not (tptp.c_Orderings_Opreorder @t139 @t138 @t1))) % 1.14/1.33 (define @t153 () (not @t148)) % 1.14/1.33 (define @t154 () (tptp.hAPP @t139 @t21)) % 1.14/1.33 (define @t155 () (tptp.hBOOL (tptp.hAPP @t154 @t20))) % 1.14/1.33 (define @t156 () (@list @t138 @t20 @t21 @t139 @t1)) % 1.14/1.33 (define @t157 () (= (tptp.c_HOL_Oinverse__class_Odivide @t4 @t4 @t1) @t136)) % 1.14/1.33 (define @t158 () (= @t20 @t2)) % 1.14/1.33 (define @t159 () (tptp.hBOOL (tptp.hAPP @t91 @t75))) % 1.14/1.33 (define @t160 () (not @t159)) % 1.14/1.33 (define @t161 () (tptp.c_Power_Opower__class_Opower @t3 @t129 @t1)) % 1.14/1.33 (define @t162 () (tptp.hAPP @t6 @t133)) % 1.14/1.33 (define @t163 () (@list @t1 @t4 @t129 @t3)) % 1.14/1.33 (define @t164 () (not (tptp.c_Orderings_Olinorder @t139 @t138 @t1))) % 1.14/1.33 (define @t165 () (@list @t139 @t138 @t1 @t20)) % 1.14/1.33 (define @t166 () (tptp.c_HOL_Oinverse__class_Odivide @t3 @t2 @t1)) % 1.14/1.33 (define @t167 () (tptp.hBOOL (tptp.hAPP @t93 @t62))) % 1.14/1.33 (define @t168 () (tptp.c_HOL_Oinverse__class_Odivide @t3 @t62 @t1)) % 1.14/1.33 (define @t169 () (tptp.c_HOL_Oinverse__class_Odivide @t4 @t62 @t1)) % 1.14/1.33 (define @t170 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t169) @t168))) % 1.14/1.33 (define @t171 () (@list @t1 @t4 @t62 @t3)) % 1.14/1.33 (define @t172 () (tptp.hBOOL (tptp.hAPP @t36 @t4))) % 1.14/1.33 (define @t173 () (not @t172)) % 1.14/1.33 (define @t174 () (tptp.hAPP @t29 @t62)) % 1.14/1.33 (define @t175 () (tptp.hBOOL (tptp.hAPP @t174 @t2))) % 1.14/1.33 (define @t176 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t75) @t2))) % 1.14/1.33 (define @t177 () (not @t176)) % 1.14/1.33 (define @t178 () (tptp.hBOOL (tptp.hAPP @t36 @t2))) % 1.14/1.33 (define @t179 () (tptp.hBOOL (tptp.hAPP @t93 @t3))) % 1.14/1.33 (define @t180 () (tptp.c_in @t84)) % 1.14/1.33 (define @t181 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t62) @t60))) % 1.14/1.33 (define @t182 () (@var "V_d" $$unsorted)) % 1.14/1.33 (define @t183 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t182) @t60))) % 1.14/1.33 (define @t184 () (not @t183)) % 1.14/1.33 (define @t185 () (tptp.tc_fun @t84 @t84)) % 1.14/1.33 (define @t186 () (tptp.c_COMBC @t54 @t1 @t14 tptp.tc_bool)) % 1.14/1.33 (define @t187 () (tptp.c_Set_Ovimage (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB (tptp.c_HOL_OIf @t84) (tptp.hAPP @t186 @t110) tptp.tc_bool (tptp.tc_fun @t84 @t185) @t1) @t1 @t84 @t185) @t62) @t1 @t84 @t84) @t182) @t60 @t1 @t84)) % 1.14/1.33 (define @t188 () (@list @t84 @t1 @t110 @t62 @t182 @t60)) % 1.14/1.33 (define @t189 () (tptp.c_Suc @t20)) % 1.14/1.33 (define @t190 () (@list @t20 @t21)) % 1.14/1.33 (define @t191 () (@var "V_nat_H" $$unsorted)) % 1.14/1.33 (define @t192 () (@var "V_nat" $$unsorted)) % 1.14/1.33 (define @t193 () (tptp.hBOOL (tptp.hAPP @t147 @t20))) % 1.14/1.33 (define @t194 () (not (tptp.c_Equiv__Relations_Oequiv @t60 @t114 @t1))) % 1.14/1.33 (define @t195 () (tptp.c_Relation_Orefl__on @t60 @t114 @t1)) % 1.14/1.33 (define @t196 () (= (tptp.c_Power_Opower__class_Opower @t75 @t129 @t1) (tptp.c_HOL_Oinverse__class_Odivide @t133 @t161 @t1))) % 1.14/1.33 (define @t197 () (@list @t1 @t4 @t3 @t129)) % 1.14/1.33 (define @t198 () (tptp.hAPP @t138 @t21)) % 1.14/1.33 (define @t199 () (tptp.hBOOL (tptp.hAPP @t198 @t20))) % 1.14/1.33 (define @t200 () (not @t199)) % 1.14/1.33 (define @t201 () (@list @t138 @t21 @t20 @t139 @t1)) % 1.14/1.33 (define @t202 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t138 @t4) @t3))) % 1.14/1.33 (define @t203 () (not (tptp.hBOOL (tptp.hAPP @t198 @t18)))) % 1.14/1.33 (define @t204 () (tptp.hBOOL (tptp.hAPP @t141 @t18))) % 1.14/1.33 (define @t205 () (@list @t138 @t20 @t18 @t21 @t139 @t1)) % 1.14/1.33 (define @t206 () (@list @t139 @t20 @t138 @t1)) % 1.14/1.33 (define @t207 () (not (tptp.hBOOL (tptp.hAPP @t154 @t18)))) % 1.14/1.33 (define @t208 () (not @t155)) % 1.14/1.33 (define @t209 () (@list @t139 @t21 @t20 @t138 @t1)) % 1.14/1.33 (define @t210 () (tptp.c_Power_Opower__class_Opower @t3 @t130 @t1)) % 1.14/1.33 (define @t211 () (not (= @t133 @t2))) % 1.14/1.33 (define @t212 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 1.14/1.33 (define @t213 () (@list @t129)) % 1.14/1.33 (define @t214 () (tptp.hAPP @t29 @t20)) % 1.14/1.33 (define @t215 () (not (tptp.hBOOL (tptp.hAPP @t214 @t2)))) % 1.14/1.33 (define @t216 () (not (tptp.hBOOL (tptp.hAPP @t93 @t21)))) % 1.14/1.33 (define @t217 () (tptp.c_HOL_Oinverse__class_Odivide @t20 @t21 @t1)) % 1.14/1.33 (define @t218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t217) @t2))) % 1.14/1.33 (define @t219 () (not (tptp.hBOOL (tptp.hAPP @t93 @t20)))) % 1.14/1.33 (define @t220 () (tptp.hAPP @t29 @t21)) % 1.14/1.33 (define @t221 () (not (tptp.hBOOL (tptp.hAPP @t220 @t2)))) % 1.14/1.33 (define @t222 () (not @t178)) % 1.14/1.33 (define @t223 () (not @t179)) % 1.14/1.33 (define @t224 () (tptp.hBOOL (tptp.hAPP @t93 @t75))) % 1.14/1.33 (define @t225 () (not @t224)) % 1.14/1.33 (define @t226 () (@list @t20 @t21 @t139 @t138 @t1)) % 1.14/1.33 (define @t227 () (tptp.hBOOL (tptp.hAPP @t86 @t20))) % 1.14/1.33 (define @t228 () (tptp.hAPP @t85 @t20)) % 1.14/1.33 (define @t229 () (tptp.hBOOL (tptp.hAPP @t60 @t228))) % 1.14/1.33 (define @t230 () (@list @t20 @t21 @t138 @t139 @t1)) % 1.14/1.33 (define @t231 () (tptp.hAPP @t6 @t62)) % 1.14/1.33 (define @t232 () (tptp.hAPP @t6 @t168)) % 1.14/1.33 (define @t233 () (@list @t1 @t3 @t62 @t4)) % 1.14/1.33 (define @t234 () (not (tptp.hBOOL (tptp.hAPP @t91 @t62)))) % 1.14/1.33 (define @t235 () (@var "V_N" $$unsorted)) % 1.14/1.33 (define @t236 () (tptp.c_HOL_Oord__class_Oless tptp.tc_nat)) % 1.14/1.33 (define @t237 () (tptp.hAPP @t236 @t129)) % 1.14/1.33 (define @t238 () (not (tptp.hBOOL (tptp.hAPP @t237 @t235)))) % 1.14/1.33 (define @t239 () (tptp.c_Power_Opower__class_Opower @t4 @t235 @t1)) % 1.14/1.33 (define @t240 () (@list @t1 @t4 @t235 @t129)) % 1.14/1.33 (define @t241 () (tptp.c_lessequals tptp.tc_nat)) % 1.14/1.33 (define @t242 () (tptp.hAPP @t241 @t129)) % 1.14/1.33 (define @t243 () (not (tptp.hBOOL (tptp.hAPP @t242 @t235)))) % 1.14/1.33 (define @t244 () (not (tptp.class_Orderings_Opreorder @t1))) % 1.14/1.33 (define @t245 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 1.14/1.33 (define @t246 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t2 @t1) @t2)) % 1.14/1.33 (define @t247 () (not (tptp.hBOOL (tptp.hAPP @t91 @t2)))) % 1.14/1.33 (define @t248 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t4 @t1)) % 1.14/1.33 (define @t249 () (tptp.hBOOL (tptp.hAPP @t91 @t248))) % 1.14/1.33 (define @t250 () (not (tptp.hBOOL (tptp.hAPP @t47 @t62)))) % 1.14/1.33 (define @t251 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t62 @t1)) % 1.14/1.33 (define @t252 () (tptp.hBOOL (tptp.hAPP @t47 @t251))) % 1.14/1.33 (define @t253 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 1.14/1.33 (define @t254 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 1.14/1.33 (define @t255 () (@list @t1 @t3 @t4 @t62)) % 1.14/1.33 (define @t256 () (not (tptp.hBOOL (tptp.hAPP @t47 @t4)))) % 1.14/1.33 (define @t257 () (not (tptp.hBOOL (tptp.hAPP @t91 @t20)))) % 1.14/1.33 (define @t258 () (not (tptp.hBOOL (tptp.hAPP @t91 @t21)))) % 1.14/1.33 (define @t259 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t21 @t1)) % 1.14/1.33 (define @t260 () (not (= @t259 @t2))) % 1.14/1.33 (define @t261 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t248) @t2))) % 1.14/1.33 (define @t262 () (tptp.hBOOL (tptp.hAPP @t93 @t248))) % 1.14/1.33 (define @t263 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t5) @t2))) % 1.14/1.33 (define @t264 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t248) @t2))) % 1.14/1.33 (define @t265 () (not @t264)) % 1.14/1.33 (define @t266 () (tptp.hBOOL (tptp.hAPP @t93 @t5))) % 1.14/1.33 (define @t267 () (not (tptp.hBOOL (tptp.hAPP @t36 @t62)))) % 1.14/1.33 (define @t268 () (tptp.hBOOL (tptp.hAPP @t36 @t251))) % 1.14/1.33 (define @t269 () (tptp.hAPP @t6 @t136)) % 1.14/1.33 (define @t270 () (not (tptp.hBOOL (tptp.hAPP @t269 @t4)))) % 1.14/1.33 (define @t271 () (tptp.hAPP @t29 @t136)) % 1.14/1.33 (define @t272 () (@var "V_m" $$unsorted)) % 1.14/1.33 (define @t273 () (= @t272 @t129)) % 1.14/1.33 (define @t274 () (not (tptp.hBOOL (tptp.hAPP @t271 @t4)))) % 1.14/1.33 (define @t275 () (tptp.c_Power_Opower__class_Opower @t4 @t272 @t1)) % 1.14/1.33 (define @t276 () (tptp.c_in (tptp.tc_prod @t1 @t1))) % 1.14/1.33 (define @t277 () (tptp.hAPP @t276 (tptp.c_Pair @t20 @t21 @t1 @t1))) % 1.14/1.33 (define @t278 () (not (tptp.hBOOL (tptp.hAPP @t277 @t137)))) % 1.14/1.33 (define @t279 () (@var "V_i" $$unsorted)) % 1.14/1.33 (define @t280 () (tptp.hAPP @t236 @t279)) % 1.14/1.33 (define @t281 () (@list @t279 @t272)) % 1.14/1.33 (define @t282 () (tptp.c_HOL_Oplus__class_Oplus @t272 @t20 tptp.tc_nat)) % 1.14/1.33 (define @t283 () (tptp.hAPP @t236 @t272)) % 1.14/1.33 (define @t284 () (@list @t272 @t20)) % 1.14/1.33 (define @t285 () (tptp.hAPP @t236 @t20)) % 1.14/1.33 (define @t286 () (tptp.hBOOL (tptp.hAPP @t285 @t189))) % 1.14/1.33 (define @t287 () (tptp.hAPP @t241 @t20)) % 1.14/1.33 (define @t288 () (tptp.hBOOL (tptp.hAPP @t287 @t20))) % 1.14/1.33 (define @t289 () (@list @t20)) % 1.14/1.33 (define @t290 () (tptp.hBOOL (tptp.hAPP @t283 @t130))) % 1.14/1.33 (define @t291 () (not @t290)) % 1.14/1.33 (define @t292 () (tptp.hAPP @t241 @t272)) % 1.14/1.33 (define @t293 () (tptp.hBOOL (tptp.hAPP @t292 @t129))) % 1.14/1.33 (define @t294 () (@list @t272 @t129)) % 1.14/1.33 (define @t295 () (not @t293)) % 1.14/1.33 (define @t296 () (tptp.hBOOL (tptp.hAPP @t283 @t129))) % 1.14/1.33 (define @t297 () (not @t296)) % 1.14/1.33 (define @t298 () (tptp.c_Suc @t272)) % 1.14/1.33 (define @t299 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t298) @t129))) % 1.14/1.33 (define @t300 () (not @t299)) % 1.14/1.33 (define @t301 () (tptp.hBOOL (tptp.hAPP @t237 @t272))) % 1.14/1.33 (define @t302 () (tptp.hAPP @t241 @t130)) % 1.14/1.33 (define @t303 () (tptp.hBOOL (tptp.hAPP @t302 @t272))) % 1.14/1.33 (define @t304 () (@list @t129 @t272)) % 1.14/1.33 (define @t305 () (not @t303)) % 1.14/1.33 (define @t306 () (tptp.hBOOL (tptp.hAPP @t237 @t298))) % 1.14/1.33 (define @t307 () (not @t306)) % 1.14/1.33 (define @t308 () (= @t129 @t272)) % 1.14/1.33 (define @t309 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 1.14/1.33 (define @t310 () (tptp.c_HOL_Oplus__class_Oplus @t129 @t309 tptp.tc_nat)) % 1.14/1.33 (define @t311 () (@var "V_j" $$unsorted)) % 1.14/1.33 (define @t312 () (tptp.c_List_Oall__from__to__nat @t57 (tptp.c_HOL_Oplus__class_Oplus @t279 @t309 tptp.tc_nat) @t311)) % 1.14/1.33 (define @t313 () (tptp.hBOOL (tptp.hAPP @t57 @t279))) % 1.14/1.33 (define @t314 () (not @t313)) % 1.14/1.33 (define @t315 () (tptp.c_List_Oall__from__to__nat @t57 @t279 @t311)) % 1.14/1.33 (define @t316 () (@list @t57 @t279 @t311)) % 1.14/1.33 (define @t317 () (@var "V_L" $$unsorted)) % 1.14/1.33 (define @t318 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.14/1.33 (define @t319 () (tptp.c_in @t318)) % 1.14/1.33 (define @t320 () (tptp.hAPP @t319 (tptp.c_Pair @t20 @t21 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.14/1.33 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t317 @t18)))) % 1.14/1.33 (define @t322 () (= @t20 @t18)) % 1.14/1.33 (define @t323 () (tptp.hBOOL (tptp.hAPP @t320 @t317))) % 1.14/1.33 (define @t324 () (@list @t20 @t21 @t317 @t18)) % 1.14/1.33 (define @t325 () (tptp.hBOOL (tptp.hAPP @t93 @t217))) % 1.14/1.33 (define @t326 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t139 @t4) @t3)))) % 1.14/1.33 (define @t327 () (@list @t138 @t4 @t3 @t139 @t1)) % 1.14/1.33 (define @t328 () (tptp.hBOOL (tptp.hAPP @t38 @t168))) % 1.14/1.33 (define @t329 () (@list @t1 @t4 @t3 @t62)) % 1.14/1.33 (define @t330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t168) @t4))) % 1.14/1.33 (define @t331 () (not (tptp.c_Fun_Oinj__on @t85 @t60 @t1 @t84))) % 1.14/1.33 (define @t332 () (tptp.hBOOL (tptp.hAPP @t55 @t60))) % 1.14/1.33 (define @t333 () (not @t332)) % 1.14/1.33 (define @t334 () (tptp.hAPP @t54 @t21)) % 1.14/1.33 (define @t335 () (tptp.hBOOL (tptp.hAPP @t334 @t60))) % 1.14/1.33 (define @t336 () (not @t335)) % 1.14/1.33 (define @t337 () (tptp.hAPP @t85 @t21)) % 1.14/1.33 (define @t338 () (not (= @t228 @t337))) % 1.14/1.33 (define @t339 () (@list @t85 @t20 @t21 @t1 @t60 @t84)) % 1.14/1.33 (define @t340 () (@var "V_xa" $$unsorted)) % 1.14/1.33 (define @t341 () (= @t20 @t340)) % 1.14/1.33 (define @t342 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t340) @t60)))) % 1.14/1.33 (define @t343 () (@var "V_S" $$unsorted)) % 1.14/1.33 (define @t344 () (tptp.hAPP @t85 @t4)) % 1.14/1.33 (define @t345 () (tptp.hAPP @t180 @t344)) % 1.14/1.33 (define @t346 () (tptp.hBOOL (tptp.hAPP @t345 @t110))) % 1.14/1.33 (define @t347 () (tptp.hBOOL (tptp.hAPP @t67 (tptp.c_Set_Ovimage @t85 @t110 @t1 @t84)))) % 1.14/1.33 (define @t348 () (tptp.hAPP @t54 @t344)) % 1.14/1.33 (define @t349 () (tptp.hAPP @t180 @t4)) % 1.14/1.33 (define @t350 () (tptp.hBOOL (tptp.hAPP @t214 @t21))) % 1.14/1.33 (define @t351 () (not @t350)) % 1.14/1.33 (define @t352 () (@var "V_w" $$unsorted)) % 1.14/1.33 (define @t353 () (not (tptp.hBOOL (tptp.hAPP @t93 @t352)))) % 1.14/1.33 (define @t354 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t352) @t18)))) % 1.14/1.33 (define @t355 () (tptp.c_HOL_Oinverse__class_Odivide @t21 @t352 @t1)) % 1.14/1.33 (define @t356 () (tptp.c_HOL_Oinverse__class_Odivide @t20 @t18 @t1)) % 1.14/1.33 (define @t357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t356) @t355))) % 1.14/1.33 (define @t358 () (@list @t1 @t20 @t18 @t21 @t352)) % 1.14/1.33 (define @t359 () (tptp.hAPP @t6 @t20)) % 1.14/1.33 (define @t360 () (not (tptp.hBOOL (tptp.hAPP @t359 @t2)))) % 1.14/1.33 (define @t361 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t217) @t2))) % 1.14/1.33 (define @t362 () (tptp.hBOOL (tptp.hAPP @t359 @t21))) % 1.14/1.33 (define @t363 () (not @t362)) % 1.14/1.33 (define @t364 () (tptp.hAPP @t29 @t133)) % 1.14/1.33 (define @t365 () (tptp.hBOOL (tptp.hAPP @t91 @t217))) % 1.14/1.33 (define @t366 () (tptp.hBOOL (tptp.hAPP @t9 @t168))) % 1.14/1.33 (define @t367 () (tptp.hBOOL (tptp.hAPP @t232 @t4))) % 1.14/1.33 (define @t368 () (not (tptp.class_Int_Onumber__ring @t1))) % 1.14/1.33 (define @t369 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 1.14/1.33 (define @t370 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 1.14/1.33 (define @t371 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t4 @t1) @t4)) % 1.14/1.33 (define @t372 () (= (tptp.c_HOL_Oplus__class_Oplus @t4 @t2 @t1) @t4)) % 1.14/1.33 (define @t373 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 1.14/1.33 (define @t374 () (tptp.c_HOL_Oinverse__class_Odivide @t136 @t3 @t1)) % 1.14/1.33 (define @t375 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t374) @t2))) % 1.14/1.33 (define @t376 () (tptp.hBOOL (tptp.hAPP @t91 @t374))) % 1.14/1.33 (define @t377 () (tptp.hBOOL (tptp.hAPP @t93 @t374))) % 1.14/1.33 (define @t378 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t374) @t2))) % 1.14/1.33 (define @t379 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 1.14/1.33 (define @t380 () (tptp.hAPP @t236 @t298)) % 1.14/1.33 (define @t381 () (tptp.hBOOL (tptp.hAPP @t380 @t129))) % 1.14/1.33 (define @t382 () (tptp.hBOOL (tptp.hAPP @t280 @t311))) % 1.14/1.33 (define @t383 () (not @t315)) % 1.14/1.33 (define @t384 () (not @t382)) % 1.14/1.33 (define @t385 () (@var "V_k" $$unsorted)) % 1.14/1.33 (define @t386 () (@list @t279 @t385 @t311)) % 1.14/1.33 (define @t387 () (tptp.hBOOL (tptp.hAPP @t285 @t20))) % 1.14/1.33 (define @t388 () (tptp.hBOOL (tptp.hAPP @t380 @t130))) % 1.14/1.33 (define @t389 () (tptp.c_COMBC @t138 @t1 @t1 tptp.tc_bool)) % 1.14/1.33 (define @t390 () (tptp.c_COMBC @t139 @t1 @t1 tptp.tc_bool)) % 1.14/1.33 (define @t391 () (@list @t139 @t1 @t138)) % 1.14/1.33 (define @t392 () (tptp.c_HOL_Oplus__class_Oplus @t272 @t129 tptp.tc_nat)) % 1.14/1.33 (define @t393 () (tptp.c_Suc @t392)) % 1.14/1.33 (define @t394 () (tptp.c_HOL_Oplus__class_Oplus @t298 @t129 tptp.tc_nat)) % 1.14/1.33 (define @t395 () (tptp.c_HOL_Oplus__class_Oplus @t272 @t130 tptp.tc_nat)) % 1.14/1.33 (define @t396 () (tptp.hBOOL (tptp.hAPP @t242 @t272))) % 1.14/1.33 (define @t397 () (not @t396)) % 1.14/1.33 (define @t398 () (tptp.hBOOL (tptp.hAPP @t302 @t298))) % 1.14/1.33 (define @t399 () (tptp.hBOOL (tptp.hAPP @t292 @t130))) % 1.14/1.33 (define @t400 () (tptp.c_Arrow__Order__Mirabelle_Omktop @t317 @t20)) % 1.14/1.33 (define @t401 () (tptp.hAPP @t319 (tptp.c_Pair @t340 @t20 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.14/1.33 (define @t402 () (= @t340 @t20)) % 1.14/1.33 (define @t403 () (@list @t340 @t20 @t317)) % 1.14/1.33 (define @t404 () (= @t21 @t18)) % 1.14/1.33 (define @t405 () (not @t323)) % 1.14/1.33 (define @t406 () (tptp.c_Arrow__Order__Mirabelle_Omkbot @t317 @t20)) % 1.14/1.33 (define @t407 () (tptp.hAPP @t319 (tptp.c_Pair @t20 @t20 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.14/1.33 (define @t408 () (@list @t20 @t317)) % 1.14/1.33 (define @t409 () (@list @t20 @t21 @t317)) % 1.14/1.33 (define @t410 () (tptp.hBOOL (tptp.hAPP @t320 (tptp.c_Arrow__Order__Mirabelle_Omktop @t317 @t18)))) % 1.14/1.33 (define @t411 () (not @t181)) % 1.14/1.33 (define @t412 () (not @t195)) % 1.14/1.33 (define @t413 () (tptp.hBOOL (tptp.hAPP @t67 @t60))) % 1.14/1.33 (define @t414 () (not @t413)) % 1.14/1.33 (define @t415 () (not (tptp.hBOOL (tptp.hAPP @t277 @t114)))) % 1.14/1.33 (define @t416 () (@list @t1 @t20 @t60 @t21 @t114)) % 1.14/1.33 (define @t417 () (@list @t1 @t21 @t60 @t20 @t114)) % 1.14/1.33 (define @t418 () (tptp.hAPP @t276 (tptp.c_Pair @t20 @t20 @t1 @t1))) % 1.14/1.33 (define @t419 () (tptp.c_Pair @t4 @t3 @t1 @t84)) % 1.14/1.33 (define @t420 () (tptp.c_in (tptp.tc_prod @t1 @t84))) % 1.14/1.33 (define @t421 () (tptp.hAPP @t420 @t419)) % 1.14/1.33 (define @t422 () (tptp.hBOOL (tptp.hAPP @t421 (tptp.c_Product__Type_OSigma @t60 @t110 @t1 @t84)))) % 1.14/1.33 (define @t423 () (not @t422)) % 1.14/1.33 (define @t424 () (tptp.hAPP @t180 @t3)) % 1.14/1.33 (define @t425 () (tptp.hBOOL (tptp.hAPP @t424 (tptp.hAPP @t110 @t4)))) % 1.14/1.33 (define @t426 () (not (tptp.hBOOL (tptp.hAPP @t421 @t114)))) % 1.14/1.33 (define @t427 () (tptp.hBOOL (tptp.hAPP @t67 (tptp.c_Relation_ODomain @t114 @t1 @t84)))) % 1.14/1.33 (define @t428 () (@list @t1 @t4 @t114 @t84 @t20)) % 1.14/1.33 (define @t429 () (tptp.c_in (tptp.tc_prod @t84 @t1))) % 1.14/1.33 (define @t430 () (tptp.hAPP @t54 @t3)) % 1.14/1.33 (define @t431 () (tptp.c_Wellfounded_Oacc @t114 @t1)) % 1.14/1.33 (define @t432 () (tptp.hBOOL (tptp.hAPP @t67 @t431))) % 1.14/1.33 (define @t433 () (tptp.c_HOL_Oplus__class_Oplus @t136 @t136 @t1)) % 1.14/1.33 (define @t434 () (tptp.c_HOL_Oinverse__class_Odivide @t5 @t433 @t1)) % 1.14/1.33 (define @t435 () (tptp.c_COMBC @t29 @t1 @t1 tptp.tc_bool)) % 1.14/1.33 (define @t436 () (tptp.c_COMBC @t6 @t1 @t1 tptp.tc_bool)) % 1.14/1.33 (define @t437 () (not (tptp.class_Orderings_Oorder @t1))) % 1.14/1.33 (define @t438 () (not (tptp.class_Orderings_Olinorder @t1))) % 1.14/1.33 (define @t439 () (not (tptp.hBOOL (tptp.hAPP @t271 @t3)))) % 1.14/1.33 (define @t440 () (tptp.hBOOL (tptp.hAPP @t285 @t21))) % 1.14/1.33 (define @t441 () (not @t440)) % 1.14/1.33 (define @t442 () (tptp.c_Power_Opower__class_Opower @t3 @t21 @t1)) % 1.14/1.33 (define @t443 () (tptp.c_Power_Opower__class_Opower @t3 @t20 @t1)) % 1.14/1.33 (define @t444 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t443) @t442))) % 1.14/1.33 (define @t445 () (@list @t1 @t3 @t20 @t21)) % 1.14/1.33 (define @t446 () (@list @t1 @t20 @t21 @t3)) % 1.14/1.33 (define @t447 () (@list @t1 @t4 @t129 @t235)) % 1.14/1.33 (define @t448 () (@list @t1 @t272 @t129 @t4)) % 1.14/1.33 (define @t449 () (tptp.hBOOL (tptp.hAPP @t277 (tptp.c_Wellfounded_Omeasure @t85 @t1)))) % 1.14/1.33 (define @t450 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t228) @t337))) % 1.14/1.33 (define @t451 () (not @t450)) % 1.14/1.33 (define @t452 () (tptp.hBOOL (tptp.hAPP @t277 (tptp.c_Wellfounded_Omlex__prod @t85 @t104 @t1)))) % 1.14/1.33 (define @t453 () (@list @t1 @t20 @t21 @t85 @t104)) % 1.14/1.33 (define @t454 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_bool))) % 1.14/1.33 (define @t455 () (tptp.hBOOL (tptp.hAPP @t287 @t21))) % 1.14/1.33 (define @t456 () (not @t455)) % 1.14/1.33 (define @t457 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t443) @t442))) % 1.14/1.33 (define @t458 () (tptp.tc_fun @t318 tptp.tc_bool)) % 1.14/1.33 (define @t459 () (tptp.tc_fun @t458 @t458)) % 1.14/1.33 (define @t460 () (tptp.tc_fun @t458 @t459)) % 1.14/1.33 (define @t461 () (tptp.c_COMBC (tptp.c_COMBB @t236 tptp.v_h____ tptp.tc_nat (tptp.tc_fun tptp.tc_nat tptp.tc_bool) tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat tptp.tc_bool)) % 1.14/1.33 (define @t462 () (tptp.c_HOL_OIf @t458)) % 1.14/1.33 (define @t463 () (tptp.c_Finite__Set_Ocard @t454 tptp.tc_Arrow__Order__Mirabelle_Oindi)) % 1.14/1.33 (define @t464 () (not (tptp.hBOOL (tptp.hAPP @t237 @t463)))) % 1.14/1.33 (define @t465 () (tptp.v_sko__local__Xthat__1 tptp.v_F tptp.v_Lab____ tptp.v_Lba____ tptp.v_a____ tptp.v_b____ tptp.v_h____ @t129)) % 1.14/1.33 (define @t466 () (tptp.hAPP @t319 (tptp.c_Pair tptp.v_b____ tptp.v_a____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.14/1.33 (define @t467 () (not (tptp.hBOOL (tptp.hAPP @t466 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t465) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____)))))) % 1.14/1.33 (define @t468 () (tptp.hAPP @t319 (tptp.c_Pair tptp.v_a____ tptp.v_b____ tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt))) % 1.14/1.33 (define @t469 () (not (tptp.hBOOL (tptp.hAPP @t468 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t310) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____)))))) % 1.14/1.33 (define @t470 () (or tptp.v_thesis____ @t469 @t467 @t464)) % 1.14/1.33 (define @t471 () (forall @t213 @t470)) % 1.14/1.33 (define @t472 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t465) @t129))) % 1.14/1.33 (define @t473 () (or tptp.v_thesis____ @t469 @t472 @t464)) % 1.14/1.33 (define @t474 () (forall @t213 @t473)) % 1.14/1.33 (define @t475 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t3 @t1)) % 1.14/1.33 (define @t476 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t4 @t1)) % 1.14/1.33 (define @t477 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t476) @t475))) % 1.14/1.33 (define @t478 () (@list @t1 @t62 @t4 @t3)) % 1.14/1.33 (define @t479 () (tptp.c_HOL_Oplus__class_Oplus @t311 @t385 tptp.tc_nat)) % 1.14/1.33 (define @t480 () (tptp.c_HOL_Oplus__class_Oplus @t279 @t385 tptp.tc_nat)) % 1.14/1.33 (define @t481 () (tptp.hAPP @t236 @t480)) % 1.14/1.33 (define @t482 () (tptp.c_HOL_Oplus__class_Oplus @t385 @t129 tptp.tc_nat)) % 1.14/1.33 (define @t483 () (tptp.c_HOL_Oplus__class_Oplus @t385 @t272 tptp.tc_nat)) % 1.14/1.33 (define @t484 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t483) @t482))) % 1.14/1.33 (define @t485 () (@list @t272 @t129 @t385)) % 1.14/1.33 (define @t486 () (@list @t385 @t272 @t129)) % 1.14/1.33 (define @t487 () (tptp.hAPP @t6 @t21)) % 1.14/1.33 (define @t488 () (tptp.hBOOL (tptp.hAPP @t487 @t20))) % 1.14/1.33 (define @t489 () (not @t488)) % 1.14/1.33 (define @t490 () (tptp.hAPP @t6 @t18)) % 1.14/1.33 (define @t491 () (not (tptp.hBOOL (tptp.hAPP @t490 @t21)))) % 1.14/1.33 (define @t492 () (@list @t1 @t18 @t20 @t21)) % 1.14/1.33 (define @t493 () (tptp.hBOOL (tptp.hAPP @t220 @t20))) % 1.14/1.33 (define @t494 () (not @t493)) % 1.14/1.33 (define @t495 () (tptp.hAPP @t29 @t18)) % 1.14/1.33 (define @t496 () (tptp.hBOOL (tptp.hAPP @t495 @t20))) % 1.14/1.33 (define @t497 () (not (tptp.hBOOL (tptp.hAPP @t495 @t21)))) % 1.14/1.33 (define @t498 () (not (tptp.hBOOL (tptp.hAPP @t487 @t18)))) % 1.14/1.33 (define @t499 () (@list @t1 @t20 @t18 @t21)) % 1.14/1.33 (define @t500 () (tptp.hAPP @t241 @t279)) % 1.14/1.33 (define @t501 () (not (tptp.hBOOL (tptp.hAPP @t500 @t311)))) % 1.14/1.33 (define @t502 () (tptp.hBOOL (tptp.hAPP @t359 @t20))) % 1.14/1.33 (define @t503 () (not (tptp.hBOOL (tptp.hAPP @t220 @t18)))) % 1.14/1.33 (define @t504 () (tptp.hBOOL (tptp.hAPP @t214 @t18))) % 1.14/1.33 (define @t505 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t62 @t1)) % 1.14/1.33 (define @t506 () (not (tptp.hBOOL (tptp.hAPP @t231 @t182)))) % 1.14/1.33 (define @t507 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t182 @t1)) % 1.14/1.33 (define @t508 () (@var "V_a_H" $$unsorted)) % 1.14/1.33 (define @t509 () (@var "V_b_H" $$unsorted)) % 1.14/1.33 (define @t510 () (not (= @t419 (tptp.c_Pair @t508 @t509 @t1 @t84)))) % 1.14/1.33 (define @t511 () (@list @t4 @t3 @t1 @t84 @t508 @t509)) % 1.14/1.33 (define @t512 () (@list @t1 @t21 @t20)) % 1.14/1.33 (define @t513 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 1.14/1.33 (define @t514 () (tptp.hAPP @t29 @t251)) % 1.14/1.33 (define @t515 () (tptp.hBOOL (tptp.hAPP @t514 @t505))) % 1.14/1.33 (define @t516 () (tptp.hAPP @t236 (tptp.c_HOL_Oplus__class_Oplus @t279 @t311 tptp.tc_nat))) % 1.14/1.33 (define @t517 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t483) @t482))) % 1.14/1.33 (define @t518 () (tptp.hAPP @t241 @t480)) % 1.14/1.33 (define @t519 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t476) @t475))) % 1.14/1.33 (define @t520 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 1.14/1.33 (define @t521 () (tptp.hAPP @t6 @t251)) % 1.14/1.33 (define @t522 () (tptp.hBOOL (tptp.hAPP @t521 @t505))) % 1.14/1.33 (define @t523 () (@var "V_l" $$unsorted)) % 1.14/1.33 (define @t524 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t385) @t523)))) % 1.14/1.33 (define @t525 () (tptp.c_HOL_Oplus__class_Oplus @t311 @t523 tptp.tc_nat)) % 1.14/1.33 (define @t526 () (@list @t279 @t385 @t311 @t523)) % 1.14/1.33 (define @t527 () (not (tptp.hBOOL (tptp.hAPP @t174 @t182)))) % 1.14/1.33 (define @t528 () (tptp.hBOOL (tptp.hAPP @t514 @t507))) % 1.14/1.33 (define @t529 () (@list @t1 @t4 @t62 @t3 @t182)) % 1.14/1.33 (define @t530 () (tptp.c_HOL_Oplus__class_Oplus @t129 @t272 tptp.tc_nat)) % 1.14/1.33 (define @t531 () (tptp.hBOOL (tptp.hAPP @t214 @t20))) % 1.14/1.33 (define @t532 () (not @t531)) % 1.14/1.33 (define @t533 () (tptp.c_HOL_Oplus__class_Oplus @t3 @t4 @t1)) % 1.14/1.33 (define @t534 () (tptp.c_HOL_Oplus__class_Oplus @t272 @t311 tptp.tc_nat)) % 1.14/1.33 (define @t535 () (@list @t279 @t272 @t311)) % 1.14/1.33 (define @t536 () (tptp.c_HOL_Oplus__class_Oplus @t311 @t272 tptp.tc_nat)) % 1.14/1.33 (define @t537 () (@list @t279 @t311 @t272)) % 1.14/1.33 (define @t538 () (tptp.c_HOL_Oplus__class_Oplus @t21 @t18 tptp.tc_nat)) % 1.14/1.33 (define @t539 () (tptp.hBOOL (tptp.hAPP @t285 @t538))) % 1.14/1.33 (define @t540 () (@list @t20 @t21 @t18)) % 1.14/1.33 (define @t541 () (tptp.hAPP @t241 @t385)) % 1.14/1.33 (define @t542 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t18 @t1)) % 1.14/1.33 (define @t543 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t18 tptp.tc_nat)) % 1.14/1.33 (define @t544 () (tptp.c_HOL_Oplus__class_Oplus @t129 @t385 tptp.tc_nat)) % 1.14/1.33 (define @t545 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t505 @t1)) % 1.14/1.33 (define @t546 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t62 @t1)) % 1.14/1.33 (define @t547 () (= @t546 @t545)) % 1.14/1.33 (define @t548 () (tptp.c_HOL_Oplus__class_Oplus @t62 @t182 @t1)) % 1.14/1.33 (define @t549 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t548 @t1)) % 1.14/1.33 (define @t550 () (@list @t1 @t4 @t62 @t182)) % 1.14/1.33 (define @t551 () (@var "V_u" $$unsorted)) % 1.14/1.33 (define @t552 () (tptp.c_HOL_Oplus__class_Oplus @t272 @t385 tptp.tc_nat)) % 1.14/1.33 (define @t553 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t552) @t129)))) % 1.14/1.33 (define @t554 () (tptp.hBOOL (tptp.hAPP @t287 @t538))) % 1.14/1.33 (define @t555 () (tptp.hBOOL (tptp.hAPP @t343 @t20))) % 1.14/1.33 (define @t556 () (tptp.hBOOL (tptp.hAPP @t55 @t343))) % 1.14/1.33 (define @t557 () (@var "V_Q" $$unsorted)) % 1.14/1.33 (define @t558 () (@var "T_c" $$unsorted)) % 1.14/1.33 (define @t559 () (= @t3 @t62)) % 1.14/1.33 (define @t560 () (not (= @t5 @t251))) % 1.14/1.33 (define @t561 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 1.14/1.33 (define @t562 () (tptp.v_sko__CHAINED__1 tptp.v_F tptp.v_Lab____ tptp.v_Lba____ tptp.v_a____ tptp.v_b____ tptp.v_h____)) % 1.14/1.33 (define @t563 () (tptp.hBOOL (tptp.hAPP @t468 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 (tptp.c_HOL_Oplus__class_Oplus @t562 @t309 tptp.tc_nat)) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____))))) % 1.14/1.33 (define @t564 () (forall (@list @t272) (or (tptp.hBOOL (tptp.hAPP @t466 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t272) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____)))) (not (tptp.hBOOL (tptp.hAPP @t292 @t562)))))) % 1.14/1.33 (define @t565 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t562) @t463))) % 1.14/1.33 (define @t566 () (@var "V_na" $$unsorted)) % 1.14/1.33 (define @t567 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t566) @t463)))) % 1.14/1.33 (define @t568 () (tptp.hAPP tptp.v_n @t566)) % 1.14/1.33 (define @t569 () (not (tptp.hBOOL (tptp.hAPP @t468 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 (tptp.c_HOL_Oplus__class_Oplus @t566 @t309 tptp.tc_nat)) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____)))))) % 1.14/1.33 (define @t570 () (@list @t566)) % 1.14/1.33 (define @t571 () (@var "T_1" $$unsorted)) % 1.14/1.33 (define @t572 () (@var "T_2" $$unsorted)) % 1.14/1.33 (define @t573 () (tptp.tc_fun @t572 @t571)) % 1.14/1.33 (define @t574 () (@list @t572 @t571)) % 1.14/1.33 (define @t575 () (@var "V_Y" $$unsorted)) % 1.14/1.33 (define @t576 () (@var "V_X" $$unsorted)) % 1.14/1.33 (define @t577 () (or @t469 @t472 @t464)) % 1.14/1.33 (define @t578 () (forall @t213 @t577)) % 1.14/1.33 (define @t579 () (or tptp.v_thesis____ @t577)) % 1.14/1.33 (define @t580 () (@list true)) % 1.14/1.33 (define @t581 () (@list tptp.v_thesis____)) % 1.14/1.33 (define @t582 () (@list @t562)) % 1.14/1.33 (define @t583 () (not @t565)) % 1.14/1.33 (define @t584 () (tptp.v_sko__local__Xthat__1 tptp.v_F tptp.v_Lab____ tptp.v_Lba____ tptp.v_a____ tptp.v_b____ tptp.v_h____ @t562)) % 1.14/1.33 (define @t585 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t584) @t562))) % 1.14/1.33 (define @t586 () (not @t563)) % 1.14/1.33 (define @t587 () (or @t586 @t585 @t583)) % 1.14/1.33 (define @t588 () (@list false false false)) % 1.14/1.33 (define @t589 () (or @t469 @t467 @t464)) % 1.14/1.33 (define @t590 () (forall @t213 @t589)) % 1.14/1.33 (define @t591 () (or tptp.v_thesis____ @t589)) % 1.14/1.33 (define @t592 () (tptp.hBOOL (tptp.hAPP @t466 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t584) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____))))) % 1.14/1.33 (define @t593 () (not @t592)) % 1.14/1.33 (define @t594 () (or @t586 @t593 @t583)) % 1.14/1.33 (define @t595 () (not @t585)) % 1.14/1.33 (define @t596 () (or @t592 @t595)) % 1.14/1.33 (define @t597 () (not @t596)) % 1.14/1.33 (define @t598 () (@list true false)) % 1.14/1.33 (assume @p1 (forall @t12 (or @t11 @t10 (not @t7)))) % 1.14/1.33 (assume @p2 (forall @t12 (or @t11 @t7 @t13))) % 1.14/1.33 (assume @p3 (forall @t17 (not (= @t16 @t15)))) % 1.14/1.33 (assume @p4 (forall @t25 (or @t24 (not (= @t23 @t21)) (= @t20 @t19)))) % 1.14/1.33 (assume @p5 (forall @t12 (or @t27 (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t5 @t1) @t3)))) % 1.14/1.33 (assume @p6 (forall (@list @t1 @t18 @t21) (or @t24 (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t22 @t1) @t21)))) % 1.14/1.33 (assume @p7 (forall @t12 (or @t27 (= (tptp.c_HOL_Oplus__class_Oplus @t4 (tptp.c_HOL_Oplus__class_Oplus @t26 @t3 @t1) @t1) @t3)))) % 1.14/1.33 (assume @p8 (forall @t12 (or @t24 (= @t28 (tptp.c_HOL_Oplus__class_Oplus @t26 @t8 @t1))))) % 1.14/1.33 (assume @p9 (forall @t12 (or @t27 (= @t28 (tptp.c_HOL_Oplus__class_Oplus @t8 @t26 @t1))))) % 1.14/1.33 (assume @p10 (forall @t12 (or @t34 @t33 (not @t31)))) % 1.14/1.33 (assume @p11 (forall @t35 (or @t34 @t31 (not @t33)))) % 1.14/1.33 (assume @p12 (forall @t12 (or @t34 @t39 (not @t37)))) % 1.14/1.33 (assume @p13 (forall @t35 (or @t34 @t37 (not @t39)))) % 1.14/1.33 (assume @p14 (forall @t35 (or @t34 @t42 @t41))) % 1.14/1.33 (assume @p15 (forall @t12 (or @t34 @t40 (not @t42)))) % 1.14/1.33 (assume @p16 (forall @t12 (or @t34 @t46 (not @t44)))) % 1.14/1.33 (assume @p17 (forall @t35 (or @t34 @t44 (not @t46)))) % 1.14/1.33 (assume @p18 (forall @t12 (or @t34 @t10 (not @t48)))) % 1.14/1.33 (assume @p19 (forall @t35 (or @t34 @t48 @t13))) % 1.14/1.33 (assume @p20 (forall @t12 (or @t34 @t50 (not @t49)))) % 1.14/1.33 (assume @p21 (forall @t35 (or @t34 @t49 @t51))) % 1.14/1.33 (assume @p22 (forall @t53 (or (not (tptp.class_Orderings_Obot @t1)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t52) @t20))))) % 1.14/1.33 (assume @p23 (forall @t59 (or (not @t58) @t56))) % 1.14/1.33 (assume @p24 (forall @t66 (or (not @t65) (not @t64)))) % 1.14/1.33 (assume @p25 (forall @t66 (or @t64 @t65))) % 1.14/1.33 (assume @p26 (forall @t68 (not (tptp.hBOOL (tptp.hAPP @t67 @t15))))) % 1.14/1.33 (assume @p27 (forall (@list @t1 @t62) (not (tptp.hBOOL (tptp.hAPP @t63 @t15))))) % 1.14/1.33 (assume @p28 (forall @t59 (or @t58 @t56))) % 1.14/1.33 (assume @p29 (forall @t53 @t56)) % 1.14/1.33 (assume @p30 (forall @t70 (or @t27 (= @t69 @t3)))) % 1.14/1.33 (assume @p31 (forall @t68 (or @t27 (= @t4 @t71)))) % 1.14/1.33 (assume @p32 (forall @t70 (or @t27 (= @t3 @t69)))) % 1.14/1.33 (assume @p33 (forall @t53 (or @t73 (= (tptp.c_HOL_Ouminus__class_Ouminus @t72 @t1) @t20)))) % 1.14/1.33 (assume @p34 (forall @t68 (or @t27 (= @t71 @t4)))) % 1.14/1.33 (assume @p35 (forall @t74 (= (tptp.c_HOL_Ouminus__class_Ouminus @t61 @t14) @t60))) % 1.14/1.33 (assume @p36 (forall @t12 (or @t77 (= @t76 (tptp.c_HOL_Oinverse__class_Odivide @t26 @t3 @t1))))) % 1.14/1.33 (assume @p37 (forall @t12 (or @t77 @t79 @t78))) % 1.14/1.33 (assume @p38 (forall @t68 (or @t81 (not (= @t26 @t4)) @t80))) % 1.14/1.33 (assume @p39 (forall @t12 (or @t77 @t83 @t82))) % 1.14/1.33 (assume @p40 (forall (@list @t85 @t60 @t84 @t1) (= (tptp.c_Set_Ovimage @t85 (tptp.c_HOL_Ouminus__class_Ouminus @t60 @t87) @t1 @t84) (tptp.c_HOL_Ouminus__class_Ouminus @t86 @t14)))) % 1.14/1.33 (assume @p41 (forall @t70 (or @t27 (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t3 @t1) @t2)))) % 1.14/1.33 (assume @p42 (forall @t68 (or @t24 @t88))) % 1.14/1.33 (assume @p43 (forall @t68 (or @t27 (= (tptp.c_HOL_Oplus__class_Oplus @t4 @t26 @t1) @t2)))) % 1.14/1.33 (assume @p44 (forall @t68 (or @t27 @t88))) % 1.14/1.33 (assume @p45 (forall @t12 (or @t77 @t79 @t83))) % 1.14/1.33 (assume @p46 (forall (@list @t85 @t1 @t84) (tptp.c_Fun_Oinj__on @t85 @t15 @t1 @t84))) % 1.14/1.33 (assume @p47 (forall @t68 (or @t34 @t92 @t90))) % 1.14/1.33 (assume @p48 (forall @t68 (or @t34 @t89 (not @t92)))) % 1.14/1.33 (assume @p49 (forall @t68 (or @t27 (not (= @t2 @t26)) (= @t2 @t4)))) % 1.14/1.33 (assume @p50 (forall @t68 (or @t34 @t96 @t95))) % 1.14/1.33 (assume @p51 (forall @t68 (or @t34 @t94 (not @t96)))) % 1.14/1.33 (assume @p52 (forall @t12 (or @t77 @t78 @t82))) % 1.14/1.33 (assume @p53 (forall @t68 (or @t81 @t99 @t98))) % 1.14/1.33 (assume @p54 (forall @t68 (or @t81 @t97 @t100))) % 1.14/1.33 (assume @p55 (forall @t68 (or @t81 @t101 @t90))) % 1.14/1.33 (assume @p56 (forall @t68 (or @t81 @t89 @t102))) % 1.14/1.33 (assume @p57 (forall @t68 (or @t11 @t99 @t98))) % 1.14/1.33 (assume @p58 (forall @t68 (or @t11 @t97 @t100))) % 1.14/1.33 (assume @p59 (forall @t68 (or @t11 @t101 @t90))) % 1.14/1.33 (assume @p60 (forall @t68 (or @t11 @t89 @t102))) % 1.14/1.33 (assume @p61 (forall (@list @t104 @t84 @t1) (= (tptp.c_Relation_OImage @t104 @t103 @t84 @t1) @t15))) % 1.14/1.33 (assume @p62 (forall @t12 (or @t27 @t105 (= @t4 @t8)))) % 1.14/1.33 (assume @p63 (forall @t12 (or @t27 @t105 (= @t26 @t3)))) % 1.14/1.33 (assume @p64 (forall @t68 (or @t27 (not (= @t26 @t2)) @t80))) % 1.14/1.33 (assume @p65 (forall @t17 (or @t73 (= (tptp.c_HOL_Ouminus__class_Ouminus @t106 @t1) @t52)))) % 1.14/1.33 (assume @p66 (forall @t17 (= (tptp.c_HOL_Ouminus__class_Ouminus @t16 @t14) @t15))) % 1.14/1.33 (assume @p67 (forall @t53 (not (tptp.hBOOL (tptp.hAPP @t15 @t20))))) % 1.14/1.33 (assume @p68 (forall @t108 (or @t73 (not (= @t72 (tptp.c_HOL_Ouminus__class_Ouminus @t21 @t1))) @t107))) % 1.14/1.33 (assume @p69 (forall @t12 (or @t27 (not (= @t26 @t8)) @t109))) % 1.14/1.33 (assume @p70 (forall (@list @t60 @t1 @t110) (or (not (= @t61 @t111)) (= @t60 @t110)))) % 1.14/1.33 (assume @p71 (forall @t17 (or @t27 (= @t2 @t112)))) % 1.14/1.33 (assume @p72 (forall @t68 (or @t34 @t113 @t98))) % 1.14/1.33 (assume @p73 (forall @t68 (or @t34 @t97 (not @t113)))) % 1.14/1.33 (assume @p74 (forall (@list @t1 @t114) (tptp.c_Relation_Ototal__on @t15 @t114 @t1))) % 1.14/1.33 (assume @p75 (forall @t17 (or @t81 @t115))) % 1.14/1.33 (assume @p76 (forall @t17 (or @t27 @t115))) % 1.14/1.33 (assume @p77 (forall @t17 (or @t73 (= (tptp.c_HOL_Ouminus__class_Ouminus @t52 @t1) @t106)))) % 1.14/1.33 (assume @p78 (forall @t17 (= (tptp.c_HOL_Ouminus__class_Ouminus @t15 @t14) @t16))) % 1.14/1.33 (assume @p79 (forall @t68 (or @t34 @t118 @t117))) % 1.14/1.33 (assume @p80 (forall @t68 (or @t34 @t116 (not @t118)))) % 1.14/1.33 (assume @p81 (forall @t119 (= (tptp.c_Set_Ovimage @t85 @t103 @t1 @t84) @t15))) % 1.14/1.33 (assume @p82 (forall @t68 (or @t121 @t116 (not @t120)))) % 1.14/1.33 (assume @p83 (forall @t68 (or @t121 @t120 @t117))) % 1.14/1.33 (assume @p84 (forall @t12 (or @t125 @t79 @t89 @t124 @t123))) % 1.14/1.33 (assume @p85 (forall @t35 (or @t125 @t79 @t126 @t97 @t123))) % 1.14/1.33 (assume @p86 (forall @t12 (or @t125 @t79 @t89 @t97 @t123))) % 1.14/1.33 (assume @p87 (forall @t12 (or @t125 @t79 @t122 @t127 @t90))) % 1.14/1.33 (assume @p88 (forall @t12 (or @t125 @t79 @t122 @t128 @t98))) % 1.14/1.33 (assume @p89 (forall @t132 (or (not (tptp.class_Ring__and__Field_Osemiring__0 @t1)) @t131 (= (tptp.c_Power_Opower__class_Opower @t2 @t130 @t1) @t2)))) % 1.14/1.33 (assume @p90 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t91 @t133)) @t98))) % 1.14/1.33 (assume @p91 (forall @t135 (or @t77 @t79 (= (tptp.c_HOL_Oinverse__class_Odivide @t136 @t133 @t1) (tptp.c_Power_Opower__class_Opower (tptp.c_HOL_Oinverse__class_Odivide @t136 @t4 @t1) @t129 @t1))))) % 1.14/1.33 (assume @p92 (forall @t74 (tptp.c_Relation_Orefl__on @t60 @t137 @t1))) % 1.14/1.33 (assume @p93 (forall @t144 (or @t143 @t140))) % 1.14/1.33 (assume @p94 (forall @t149 (or @t148 @t146 @t140))) % 1.14/1.33 (assume @p95 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t151) @t136)) @t150 @t95))) % 1.14/1.33 (assume @p96 (forall @t74 (= (tptp.c_Relation_ODomain @t137 @t1 @t1) @t60))) % 1.14/1.33 (assume @p97 (forall @t156 (or @t145 @t155 @t153 @t152))) % 1.14/1.33 (assume @p98 (forall @t144 (or @t143 @t152))) % 1.14/1.33 (assume @p99 (forall @t149 (or @t148 @t146 @t152))) % 1.14/1.33 (assume @p100 (forall @t68 (or @t77 @t79 @t157 @t80))) % 1.14/1.33 (assume @p101 (forall @t68 (or @t77 @t157 @t80))) % 1.14/1.33 (assume @p102 (forall @t53 (or @t77 @t158 (= (tptp.c_HOL_Oinverse__class_Odivide @t20 @t20 @t1) @t136)))) % 1.14/1.33 (assume @p103 (forall @t35 (or @t125 @t79 @t124 @t126 @t160))) % 1.14/1.33 (assume @p104 (forall @t12 (or @t125 @t79 @t89 @t126 @t160))) % 1.14/1.33 (assume @p105 (forall @t35 (or @t125 @t79 @t124 @t97 @t160))) % 1.14/1.33 (assume @p106 (forall @t12 (or @t125 @t79 @t89 @t97 @t160))) % 1.14/1.33 (assume @p107 (forall @t163 (or @t134 (tptp.hBOOL (tptp.hAPP @t162 @t161)) @t98 @t51))) % 1.14/1.33 (assume @p108 (forall @t144 (or @t143 @t164))) % 1.14/1.33 (assume @p109 (forall @t165 (or @t164 @t143))) % 1.14/1.33 (assume @p110 (forall @t70 (or @t77 @t79 (= @t166 @t2)))) % 1.14/1.33 (assume @p111 (forall @t68 (or @t77 @t79 (= (tptp.c_HOL_Oinverse__class_Odivide @t4 @t2 @t1) @t2)))) % 1.14/1.33 (assume @p112 (forall @t68 (or @t77 (= (tptp.c_HOL_Oinverse__class_Odivide @t2 @t4 @t1) @t2)))) % 1.14/1.33 (assume @p113 (forall @t17 (or @t77 @t79 (= (tptp.c_HOL_Oinverse__class_Odivide @t2 @t2 @t1) @t2)))) % 1.14/1.33 (assume @p114 (forall @t171 (or @t125 @t170 (not @t167) @t41))) % 1.14/1.33 (assume @p115 (forall @t171 (or @t125 @t170 (not @t175) @t173))) % 1.14/1.33 (assume @p116 (forall @t35 (or @t125 @t79 @t179 @t178 @t177))) % 1.14/1.33 (assume @p117 (forall @t12 (or @t125 @t79 @t116 @t178 @t177))) % 1.14/1.33 (assume @p118 (forall @t188 (or (= @t187 @t111) @t184 @t181))) % 1.14/1.33 (assume @p119 (forall @t188 (or (= @t187 @t15) @t183 @t181))) % 1.14/1.33 (assume @p120 (forall @t35 (or @t125 @t79 @t126 @t124 @t123))) % 1.14/1.33 (assume @p121 (forall @t190 (or (not (= @t189 (tptp.c_Suc @t21))) @t107))) % 1.14/1.33 (assume @p122 (forall (@list @t192 @t191) (or (not (= (tptp.c_Suc @t192) (tptp.c_Suc @t191))) (= @t192 @t191)))) % 1.14/1.33 (assume @p123 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t93 @t133)) @t95))) % 1.14/1.33 (assume @p124 (forall @t74 (= (tptp.c_Relation_ORange @t137 @t1 @t1) @t60))) % 1.14/1.33 (assume @p125 (forall @t165 (or @t140 @t193))) % 1.14/1.33 (assume @p126 (forall (@list @t60 @t114 @t1) (or @t195 @t194))) % 1.14/1.33 (assume @p127 (forall @t197 (or @t77 @t79 @t196))) % 1.14/1.33 (assume @p128 (forall @t165 (or @t152 @t193))) % 1.14/1.33 (assume @p129 (forall @t201 (or @t200 @t146 @t152))) % 1.14/1.33 (assume @p130 (forall (@list @t138 @t3 @t4 @t139 @t1) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t138 @t3) @t4))) (not @t202) @t152))) % 1.14/1.33 (assume @p131 (forall @t205 (or @t204 @t203 @t146 @t152))) % 1.14/1.33 (assume @p132 (forall @t206 (or @t193 @t152))) % 1.14/1.33 (assume @p133 (forall (@list @t139 @t20 @t18 @t21 @t138 @t1) (or (tptp.hBOOL (tptp.hAPP @t147 @t18)) @t207 @t153 @t152))) % 1.14/1.33 (assume @p134 (forall @t205 (or @t204 @t203 @t153 @t152))) % 1.14/1.33 (assume @p135 (forall (@list @t138 @t20 @t18 @t139 @t21 @t1) (or @t204 @t207 @t146 @t152))) % 1.14/1.33 (assume @p136 (forall @t209 (or @t208 @t146 @t152))) % 1.14/1.33 (assume @p137 (forall @t12 (or @t125 @t79 @t159 @t127 @t98))) % 1.14/1.33 (assume @p138 (forall @t12 (or @t125 @t79 @t159 @t128 @t90))) % 1.14/1.33 (assume @p139 (forall @t156 (or @t146 @t200 @t164))) % 1.14/1.33 (assume @p140 (forall @t156 (or @t146 @t208 @t164))) % 1.14/1.33 (assume @p141 (forall @t209 (or @t155 @t145 @t164))) % 1.14/1.33 (assume @p142 (forall @t209 (or @t155 @t148 @t164))) % 1.14/1.33 (assume @p143 (forall @t201 (or @t199 @t148 @t164))) % 1.14/1.33 (assume @p144 (forall @t149 (or @t153 @t200 @t164))) % 1.14/1.33 (assume @p145 (forall @t156 (or @t145 @t155 @t164))) % 1.14/1.33 (assume @p146 (forall @t144 (or @t142 @t164 @t193))) % 1.14/1.33 (assume @p147 (forall @t206 (or (not @t193) @t164 @t143))) % 1.14/1.33 (assume @p148 (forall @t197 (or @t134 @t50 @t127 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t151) @t210)))))) % 1.14/1.33 (assume @p149 (forall @t135 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t211 @t80))) % 1.14/1.33 (assume @p150 (forall @t135 (or @t212 (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1)) (not (tptp.class_Ring__and__Field_Omult__zero @t1)) @t131 @t211 @t80))) % 1.14/1.33 (assume @p151 (forall @t197 (or @t77 @t196 @t82))) % 1.14/1.33 (assume @p152 (forall @t213 (not (= @t130 @t129)))) % 1.14/1.33 (assume @p153 (forall @t213 (not (= @t129 @t130)))) % 1.14/1.33 (assume @p154 (forall @t108 (or @t125 @t218 @t216 @t215))) % 1.14/1.33 (assume @p155 (forall @t108 (or @t125 @t218 @t221 @t219))) % 1.14/1.33 (assume @p156 (forall @t12 (or @t125 @t79 @t176 @t222 @t95))) % 1.14/1.33 (assume @p157 (forall @t12 (or @t125 @t79 @t176 @t223 @t117))) % 1.14/1.33 (assume @p158 (forall @t12 (or @t125 @t79 @t116 @t94 @t225))) % 1.14/1.33 (assume @p159 (forall @t35 (or @t125 @t79 @t178 @t94 @t225))) % 1.14/1.33 (assume @p160 (forall @t12 (or @t125 @t79 @t116 @t179 @t225))) % 1.14/1.33 (assume @p161 (forall @t35 (or @t125 @t79 @t178 @t179 @t225))) % 1.14/1.33 (assume @p162 (forall @t226 (or @t107 @t208 @t153 @t140))) % 1.14/1.33 (assume @p163 (forall @t226 (or @t107 @t153 @t208 @t140))) % 1.14/1.33 (assume @p164 (forall (@list @t60 @t85 @t20 @t1 @t84) (or @t229 (not @t227)))) % 1.14/1.33 (assume @p165 (forall (@list @t85 @t60 @t1 @t84 @t20) (or @t227 (not @t229)))) % 1.14/1.33 (assume @p166 (forall @t230 (or @t107 @t199 @t145 @t164))) % 1.14/1.33 (assume @p167 (forall @t201 (or @t199 @t145 @t107 @t164))) % 1.14/1.33 (assume @p168 (forall @t201 (or @t199 @t107 @t145 @t164))) % 1.14/1.33 (assume @p169 (forall @t230 (or @t107 @t145 @t199 @t164))) % 1.14/1.33 (assume @p170 (forall @t70 (or @t77 @t79 (= @t2 @t166)))) % 1.14/1.33 (assume @p171 (forall @t233 (or @t125 @t79 (tptp.hBOOL (tptp.hAPP @t232 @t169)) (not (tptp.hBOOL (tptp.hAPP @t231 @t2))) @t51))) % 1.14/1.33 (assume @p172 (forall @t171 (or @t125 @t79 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t169) @t168)) @t234 @t51))) % 1.14/1.33 (assume @p173 (forall @t12 (or @t77 (not (= @t75 @t136)) @t82 @t109))) % 1.14/1.33 (assume @p174 (forall @t240 (or @t134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t239) @t133)) @t150 @t95 @t238))) % 1.14/1.33 (assume @p175 (forall @t240 (or @t134 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t239) @t133)) (not (tptp.hBOOL (tptp.hAPP @t9 @t136))) @t98 @t243))) % 1.14/1.33 (assume @p176 (forall @t17 (or @t244 (tptp.c_Orderings_Opreorder @t6 @t29 @t1)))) % 1.14/1.33 (assume @p177 (forall @t12 (or @t245 (tptp.hBOOL (tptp.hAPP @t91 @t5)) @t127 @t98))) % 1.14/1.33 (assume @p178 (forall @t17 (or @t245 @t247 @t247 @t246))) % 1.14/1.33 (assume @p179 (forall @t68 (or @t11 @t249 @t98))) % 1.14/1.33 (assume @p180 (forall @t68 (or @t11 @t97 (not @t249)))) % 1.14/1.33 (assume @p181 (forall @t255 (or @t254 @t253 @t252 @t250 @t98))) % 1.14/1.33 (assume @p182 (forall @t255 (or @t254 @t253 @t252 @t256 @t234))) % 1.14/1.33 (assume @p183 (forall @t108 (or @t245 @t260 @t258 @t257 (= @t21 @t2)))) % 1.14/1.33 (assume @p184 (forall @t108 (or @t245 @t260 @t258 @t257 @t158))) % 1.14/1.33 (assume @p185 (forall @t68 (or @t11 @t261 @t90))) % 1.14/1.33 (assume @p186 (forall @t68 (or @t11 @t89 (not @t261)))) % 1.14/1.33 (assume @p187 (forall @t12 (or @t245 @t7 @t128 @t90))) % 1.14/1.33 (assume @p188 (forall @t68 (or @t11 @t262 @t95))) % 1.14/1.33 (assume @p189 (forall @t68 (or @t11 @t94 (not @t262)))) % 1.14/1.33 (assume @p190 (forall @t12 (or @t245 @t263 @t222 @t117))) % 1.14/1.33 (assume @p191 (forall @t68 (or @t11 @t264 @t117))) % 1.14/1.33 (assume @p192 (forall @t68 (or @t11 @t116 @t265))) % 1.14/1.33 (assume @p193 (forall @t68 (or @t121 @t116 @t265))) % 1.14/1.33 (assume @p194 (forall @t68 (or @t121 @t264 @t117))) % 1.14/1.33 (assume @p195 (forall @t12 (or @t245 @t266 @t223 @t95))) % 1.14/1.33 (assume @p196 (forall @t255 (or @t134 @t268 @t267 @t95))) % 1.14/1.33 (assume @p197 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t269 @t133)) @t270))) % 1.14/1.33 (assume @p198 (forall @t17 (or @t134 (tptp.hBOOL (tptp.hAPP @t91 @t136))))) % 1.14/1.33 (assume @p199 (forall @t17 (or @t134 (not (tptp.hBOOL (tptp.hAPP @t269 @t2)))))) % 1.14/1.33 (assume @p200 (forall @t17 (or @t134 (not (tptp.hBOOL (tptp.hAPP @t271 @t2)))))) % 1.14/1.33 (assume @p201 (forall @t17 (or @t134 (tptp.hBOOL (tptp.hAPP @t93 @t136))))) % 1.14/1.33 (assume @p202 (forall (@list @t1 @t4 @t272 @t129) (or @t134 (not (= @t275 @t133)) @t274 @t273))) % 1.14/1.33 (assume @p203 (forall (@list @t20 @t21 @t1 @t60) (or @t107 @t278))) % 1.14/1.33 (assume @p204 (forall @t281 (tptp.hBOOL (tptp.hAPP @t280 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t279 @t272 tptp.tc_nat)))))) % 1.14/1.33 (assume @p205 (forall @t281 (tptp.hBOOL (tptp.hAPP @t280 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t272 @t279 tptp.tc_nat)))))) % 1.14/1.33 (assume @p206 (forall @t284 (tptp.hBOOL (tptp.hAPP @t283 (tptp.c_Suc @t282))))) % 1.14/1.33 (assume @p207 (forall @t289 (or (not @t288) @t286))) % 1.14/1.33 (assume @p208 (forall @t294 (or @t293 @t291))) % 1.14/1.33 (assume @p209 (forall @t294 (or @t290 @t295))) % 1.14/1.33 (assume @p210 (forall @t294 (or @t299 @t297))) % 1.14/1.33 (assume @p211 (forall @t294 (or @t296 @t300))) % 1.14/1.33 (assume @p212 (forall @t304 (or @t303 (not @t301)))) % 1.14/1.33 (assume @p213 (forall @t304 (or @t301 @t305))) % 1.14/1.33 (assume @p214 (forall @t304 (or @t308 @t307 @t295))) % 1.14/1.33 (assume @p215 (forall @t213 (= @t130 @t310))) % 1.14/1.33 (assume @p216 (forall @t213 (= @t130 (tptp.c_HOL_Oplus__class_Oplus @t309 @t129 tptp.tc_nat)))) % 1.14/1.33 (assume @p217 (forall @t316 (or @t315 @t314 (not @t312)))) % 1.14/1.33 (assume @p218 (forall @t324 (or @t323 @t322 (not @t321)))) % 1.14/1.33 (assume @p219 (forall @t35 (or @t125 @t79 @t179 @t94 @t177))) % 1.14/1.33 (assume @p220 (forall @t12 (or @t125 @t79 @t116 @t94 @t177))) % 1.14/1.33 (assume @p221 (forall @t12 (or @t125 @t79 @t224 @t222 @t117))) % 1.14/1.33 (assume @p222 (forall @t12 (or @t125 @t79 @t224 @t223 @t95))) % 1.14/1.33 (assume @p223 (forall @t108 (or @t125 @t325 @t216 @t219))) % 1.14/1.33 (assume @p224 (forall @t108 (or @t125 @t325 @t221 @t215))) % 1.14/1.33 (assume @p225 (forall @t327 (or @t202 @t326 @t109 @t140))) % 1.14/1.33 (assume @p226 (forall @t327 (or @t202 @t109 @t326 @t140))) % 1.14/1.33 (assume @p227 (forall @t156 (or @t145 @t107 @t153 @t140))) % 1.14/1.33 (assume @p228 (forall @t230 (or @t107 @t145 @t153 @t140))) % 1.14/1.33 (assume @p229 (forall @t329 (or @t125 @t79 @t328 @t117 @t175 @t167))) % 1.14/1.33 (assume @p230 (forall @t171 (or @t125 @t79 @t116 @t175 @t167 (not @t328)))) % 1.14/1.33 (assume @p231 (forall @t233 (or @t125 @t79 @t330 @t95 @t175 @t167))) % 1.14/1.33 (assume @p232 (forall @t171 (or @t125 @t79 @t94 @t175 @t167 (not @t330)))) % 1.14/1.33 (assume @p233 (forall @t230 (or @t107 @t145 @t153 @t164))) % 1.14/1.33 (assume @p234 (forall @t226 (or @t107 @t153 @t145 @t164))) % 1.14/1.33 (assume @p235 (forall @t163 (or @t134 (not (= @t151 @t210)) @t109 @t127 @t98))) % 1.14/1.33 (assume @p236 (forall @t339 (or @t338 @t336 @t333 @t107 @t331))) % 1.14/1.33 (assume @p237 (forall @t339 (or @t338 @t336 @t333 @t331 @t107))) % 1.14/1.33 (assume @p238 (forall (@list @t85 @t20 @t340 @t1 @t60 @t84) (or (not (= @t228 (tptp.hAPP @t85 @t340))) @t342 @t333 @t331 @t341))) % 1.14/1.33 (assume @p239 (forall (@list @t85 @t20 @t21 @t60 @t1 @t84) (or @t338 @t331 @t107 @t336 @t333))) % 1.14/1.33 (assume @p240 (forall (@list @t1 @t104 @t343) (or (not (= (tptp.hAPP @t186 @t104) (tptp.hAPP @t186 @t343))) (= @t104 @t343)))) % 1.14/1.33 (assume @p241 (forall (@list @t1 @t4 @t85 @t110 @t84) (or @t347 (not @t346)))) % 1.14/1.33 (assume @p242 (forall (@list @t84 @t4 @t85 @t60 @t1) (or (tptp.hBOOL (tptp.hAPP @t349 (tptp.c_Set_Ovimage @t85 @t60 @t84 @t1))) (not (tptp.hBOOL (tptp.hAPP @t348 @t60)))))) % 1.14/1.33 (assume @p243 (forall (@list @t84 @t4 @t85 @t110 @t1) (or (tptp.hBOOL (tptp.hAPP @t349 (tptp.c_Set_Ovimage @t85 @t110 @t84 @t1))) (not (tptp.hBOOL (tptp.hAPP @t348 @t110)))))) % 1.14/1.33 (assume @p244 (forall (@list @t84 @t85 @t4 @t110 @t1) (or @t346 (not @t347)))) % 1.14/1.33 (assume @p245 (forall (@list @t84 @t85 @t4 @t60 @t1) (or (tptp.hBOOL (tptp.hAPP @t345 @t60)) (not (tptp.hBOOL (tptp.hAPP @t67 @t86)))))) % 1.14/1.33 (assume @p246 (forall @t358 (or @t125 @t357 @t354 @t353 @t351 @t257))) % 1.14/1.33 (assume @p247 (forall @t108 (or @t125 @t361 @t216 @t360))) % 1.14/1.33 (assume @p248 (forall @t108 (or @t125 @t361 @t221 @t257))) % 1.14/1.33 (assume @p249 (forall @t358 (or @t125 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t356) @t355)) @t354 @t353 @t363 @t257))) % 1.14/1.33 (assume @p250 (forall @t197 (or @t134 @t40 @t127 (not (tptp.hBOOL (tptp.hAPP @t364 @t161)))))) % 1.14/1.33 (assume @p251 (forall @t358 (or @t125 @t357 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t352) @t18))) @t353 @t363 @t219))) % 1.14/1.33 (assume @p252 (forall @t108 (or @t125 @t365 @t221 @t360))) % 1.14/1.33 (assume @p253 (forall @t108 (or @t125 @t365 @t216 @t257))) % 1.14/1.33 (assume @p254 (forall @t329 (or @t125 @t79 @t366 @t90 @t175 @t167))) % 1.14/1.33 (assume @p255 (forall @t171 (or @t125 @t79 @t89 @t175 @t167 (not @t366)))) % 1.14/1.33 (assume @p256 (forall @t233 (or @t125 @t79 @t367 @t98 @t175 @t167))) % 1.14/1.33 (assume @p257 (forall @t171 (or @t125 @t79 @t97 @t175 @t167 (not @t367)))) % 1.14/1.33 (assume @p258 (forall @t68 (or @t11 (not (= @t248 @t2)) @t80))) % 1.14/1.33 (assume @p259 (forall (@list @t1 @t20 @t4) (or @t369 @t368 (not (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t4 @t1))) @t80))) % 1.14/1.33 (assume @p260 (forall @t17 (or @t11 @t246))) % 1.14/1.33 (assume @p261 (forall @t53 (or @t370 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t20 @t1) @t20)))) % 1.14/1.33 (assume @p262 (forall @t68 (or @t253 @t371))) % 1.14/1.33 (assume @p263 (forall @t53 (or @t369 @t368 (= @t20 (tptp.c_HOL_Oplus__class_Oplus @t20 @t2 @t1))))) % 1.14/1.33 (assume @p264 (forall @t68 (or @t253 @t372))) % 1.14/1.33 (assume @p265 (forall @t68 (or @t373 @t371))) % 1.14/1.33 (assume @p266 (forall @t68 (or @t373 @t372))) % 1.14/1.33 (assume @p267 (forall @t68 (or @t370 @t372))) % 1.14/1.33 (assume @p268 (forall @t68 (or @t370 @t371))) % 1.14/1.33 (assume @p269 (forall @t329 (or @t77 (= (tptp.c_HOL_Oinverse__class_Odivide @t5 @t62 @t1) (tptp.c_HOL_Oplus__class_Oplus @t169 @t168 @t1))))) % 1.14/1.33 (assume @p270 (forall @t70 (or @t125 @t79 @t375 @t128))) % 1.14/1.33 (assume @p271 (forall @t70 (or @t125 @t79 @t124 (not @t375)))) % 1.14/1.33 (assume @p272 (forall @t70 (or @t125 @t79 @t376 @t127))) % 1.14/1.33 (assume @p273 (forall @t70 (or @t125 @t79 @t126 (not @t376)))) % 1.14/1.33 (assume @p274 (forall @t70 (or @t125 @t79 @t179 (not @t377)))) % 1.14/1.33 (assume @p275 (forall @t70 (or @t125 @t79 @t377 @t223))) % 1.14/1.33 (assume @p276 (forall @t135 (or @t134 (tptp.hBOOL (tptp.hAPP @t271 @t151)) @t274))) % 1.14/1.33 (assume @p277 (forall @t70 (or @t125 @t79 @t378 @t222))) % 1.14/1.33 (assume @p278 (forall @t70 (or @t125 @t79 @t178 (not @t378)))) % 1.14/1.33 (assume @p279 (forall @t17 (or @t212 (not (= @t136 @t2))))) % 1.14/1.33 (assume @p280 (forall @t132 (or @t379 (= (tptp.c_Power_Opower__class_Opower @t136 @t129 @t1) @t136)))) % 1.14/1.33 (assume @p281 (forall @t17 (or @t212 (not (= @t2 @t136))))) % 1.14/1.33 (assume @p282 (forall @t68 (or @t77 (= (tptp.c_HOL_Oinverse__class_Odivide @t4 @t136 @t1) @t4)))) % 1.14/1.33 (assume @p283 (forall @t294 (or @t290 @t297))) % 1.14/1.33 (assume @p284 (forall @t294 (or @t296 (not @t381)))) % 1.14/1.33 (assume @p285 (forall @t316 (or @t315 @t382))) % 1.14/1.33 (assume @p286 (forall @t316 (or @t313 @t384 @t383))) % 1.14/1.33 (assume @p287 (forall @t386 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 (tptp.c_Suc @t279)) @t385)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t311) @t385))) @t384))) % 1.14/1.33 (assume @p288 (forall @t289 @t286)) % 1.14/1.33 (assume @p289 (forall @t213 (tptp.hBOOL (tptp.hAPP @t237 @t130)))) % 1.14/1.33 (assume @p290 (forall @t304 (or @t308 @t307 @t301))) % 1.14/1.33 (assume @p291 (forall @t294 (or @t273 @t307 @t301))) % 1.14/1.33 (assume @p292 (forall @t294 (or @t273 @t296 @t291))) % 1.14/1.33 (assume @p293 (forall @t294 (or @t381 (= @t298 @t129) @t297))) % 1.14/1.33 (assume @p294 (forall @t289 (or @t387 @t286))) % 1.14/1.33 (assume @p295 (forall @t294 (or @t297 @t307))) % 1.14/1.33 (assume @p296 (forall @t304 (or @t306 @t296))) % 1.14/1.33 (assume @p297 (forall (@list @t20 @t129) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t189) @t130)) (not (tptp.hBOOL (tptp.hAPP @t285 @t129)))))) % 1.14/1.33 (assume @p298 (forall @t294 (or @t296 (not @t388)))) % 1.14/1.33 (assume @p299 (forall @t294 (or @t388 @t297))) % 1.14/1.33 (assume @p300 (forall @t391 (or (tptp.c_Orderings_Opreorder @t390 @t389 @t1) @t152))) % 1.14/1.33 (assume @p301 (forall @t391 (or (tptp.c_Orderings_Olinorder @t390 @t389 @t1) @t164))) % 1.14/1.33 (assume @p302 (forall @t391 (or (tptp.c_Orderings_Oorder @t390 @t389 @t1) @t140))) % 1.14/1.33 (assume @p303 (forall @t294 (= @t394 @t393))) % 1.14/1.33 (assume @p304 (forall @t294 (= @t395 @t393))) % 1.14/1.33 (assume @p305 (forall @t294 (= @t394 @t395))) % 1.14/1.33 (assume @p306 (forall @t304 (or @t398 @t397))) % 1.14/1.33 (assume @p307 (forall @t304 (or @t396 (not @t398)))) % 1.14/1.33 (assume @p308 (forall @t213 (not (tptp.hBOOL (tptp.hAPP @t302 @t129))))) % 1.14/1.33 (assume @p309 (forall @t294 (or @t399 @t295))) % 1.14/1.33 (assume @p310 (forall @t294 (or @t293 @t300))) % 1.14/1.33 (assume @p311 (forall @t294 (or @t295 @t305))) % 1.14/1.33 (assume @p312 (forall @t304 (or @t303 @t293))) % 1.14/1.33 (assume @p313 (forall @t213 (tptp.hBOOL (tptp.hAPP @t302 @t130)))) % 1.14/1.33 (assume @p314 (forall @t294 (or (= @t272 @t130) @t293 (not @t399)))) % 1.14/1.33 (assume @p315 (forall (@list @t85 @t20 @t21 @t1 @t84) (or @t338 (not (tptp.c_Fun_Oinj__on @t85 @t16 @t1 @t84)) @t107))) % 1.14/1.33 (assume @p316 (forall @t119 (= (tptp.c_Set_Ovimage @t85 (tptp.c_Orderings_Otop__class_Otop @t87) @t1 @t84) @t16))) % 1.14/1.33 (assume @p317 (forall @t68 (or @t379 (= (tptp.c_Power_Opower__class_Opower @t4 @t309 @t1) @t4)))) % 1.14/1.33 (assume @p318 (forall @t53 (or @t370 (= (tptp.c_Power_Opower__class_Opower @t20 @t309 @t1) @t20)))) % 1.14/1.33 (assume @p319 (forall @t403 (or @t402 @t402 (tptp.hBOOL (tptp.hAPP @t401 @t400))))) % 1.14/1.33 (assume @p320 (forall @t324 (or @t321 @t405 @t322 @t404))) % 1.14/1.33 (assume @p321 (forall @t324 (or @t321 @t405 @t107 @t404))) % 1.14/1.33 (assume @p322 (forall @t403 (not (tptp.hBOOL (tptp.hAPP @t401 @t406))))) % 1.14/1.33 (assume @p323 (forall @t408 (not (tptp.hBOOL (tptp.hAPP @t407 @t406))))) % 1.14/1.33 (assume @p324 (forall @t409 (or @t107 (= @t21 @t20) (tptp.hBOOL (tptp.hAPP @t320 @t406))))) % 1.14/1.33 (assume @p325 (forall @t324 (or @t323 @t404 (not @t410)))) % 1.14/1.33 (assume @p326 (forall @t409 (not (tptp.hBOOL (tptp.hAPP @t320 @t400))))) % 1.14/1.33 (assume @p327 (forall @t408 (not (tptp.hBOOL (tptp.hAPP @t407 @t400))))) % 1.14/1.33 (assume @p328 (forall @t324 (or @t410 @t405 @t404 @t322))) % 1.14/1.33 (assume @p329 (forall @t324 (or @t410 @t405 @t107 @t322))) % 1.14/1.33 (assume @p330 (forall @t188 (or (= @t187 @t110) @t183 @t411))) % 1.14/1.33 (assume @p331 (forall @t12 (or @t245 @t266 @t127 @t95))) % 1.14/1.33 (assume @p332 (forall @t12 (or @t245 @t266 @t223 @t98))) % 1.14/1.33 (assume @p333 (forall @t255 (or @t254 @t253 @t268 @t267 @t98))) % 1.14/1.33 (assume @p334 (forall @t255 (or @t254 @t253 @t268 @t250 @t95))) % 1.14/1.33 (assume @p335 (forall @t12 (or @t245 @t263 @t222 @t90))) % 1.14/1.33 (assume @p336 (forall @t12 (or @t245 @t263 @t128 @t117))) % 1.14/1.33 (assume @p337 (forall (@list @t1 @t4 @t114 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t276 (tptp.c_Pair @t4 @t4 @t1 @t1)) @t114)) @t414 @t412))) % 1.14/1.33 (assume @p338 (forall @t416 (or @t332 @t415 @t412))) % 1.14/1.33 (assume @p339 (forall @t417 (or @t335 @t415 @t412))) % 1.14/1.33 (assume @p340 (forall (@list @t1 @t20 @t114 @t60) (or (tptp.hBOOL (tptp.hAPP @t418 @t114)) @t333 @t412))) % 1.14/1.33 (assume @p341 (forall (@list @t1 @t340 @t20 @t114 @t60) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t276 (tptp.c_Pair @t340 @t20 @t1 @t1)) @t114)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t276 (tptp.c_Pair @t20 @t340 @t1 @t1)) @t114)) @t341 @t342 @t333 (not (tptp.c_Relation_Ototal__on @t60 @t114 @t1))))) % 1.14/1.33 (assume @p342 (forall (@list @t1 @t4 @t60 @t84 @t3 @t110) (or @t413 @t423))) % 1.14/1.33 (assume @p343 (forall (@list @t84 @t3 @t110 @t4 @t1 @t60) (or @t425 @t423))) % 1.14/1.33 (assume @p344 (forall (@list @t1 @t4 @t114 @t84 @t3) (or @t427 @t426))) % 1.14/1.33 (assume @p345 (forall @t428 (or @t427 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t420 (tptp.c_Pair @t4 @t20 @t1 @t84)) @t114)))))) % 1.14/1.33 (assume @p346 (forall (@list @t84 @t3 @t114 @t1 @t4) (or (tptp.hBOOL (tptp.hAPP @t424 (tptp.c_Relation_ORange @t114 @t1 @t84))) @t426))) % 1.14/1.33 (assume @p347 (forall @t428 (or (tptp.hBOOL (tptp.hAPP @t67 (tptp.c_Relation_ORange @t114 @t84 @t1))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 (tptp.c_Pair @t20 @t4 @t84 @t1)) @t114)))))) % 1.14/1.33 (assume @p348 (forall @t416 (or @t332 @t415 @t194))) % 1.14/1.33 (assume @p349 (forall @t417 (or @t335 @t415 @t194))) % 1.14/1.33 (assume @p350 (forall (@list @t1 @t20 @t60) (or (tptp.hBOOL (tptp.hAPP @t418 @t137)) @t333))) % 1.14/1.33 (assume @p351 (forall (@list @t1 @t20 @t60 @t21) (or @t332 @t278))) % 1.14/1.33 (assume @p352 (forall (@list @t1 @t3 @t114 @t60 @t84 @t20) (or (tptp.hBOOL (tptp.hAPP @t430 (tptp.c_Relation_OImage @t114 @t60 @t84 @t1))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t429 (tptp.c_Pair @t20 @t3 @t84 @t1)) @t114))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t180 @t20) @t60)))))) % 1.14/1.33 (assume @p353 (forall (@list @t84 @t3 @t114 @t60 @t1 @t4) (or (tptp.hBOOL (tptp.hAPP @t424 (tptp.c_Relation_OImage @t114 @t60 @t1 @t84))) @t426 @t414))) % 1.14/1.33 (assume @p354 (forall (@list @t1 @t21 @t114 @t4) (or (tptp.hBOOL (tptp.hAPP @t334 @t431)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t276 (tptp.c_Pair @t21 @t4 @t1 @t1)) @t114))) (not @t432)))) % 1.14/1.33 (assume @p355 (forall (@list @t1 @t4 @t114 @t3) (or @t432 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t276 (tptp.c_Pair @t4 @t3 @t1 @t1)) @t114))) (not (tptp.hBOOL (tptp.hAPP @t430 @t431)))))) % 1.14/1.33 (assume @p356 (forall (@list @t1 @t84 @t4 @t3 @t60 @t110) (or @t422 (not @t425) @t414))) % 1.14/1.33 (assume @p357 (forall @t17 (or @t134 (tptp.hBOOL (tptp.hAPP @t93 @t433))))) % 1.14/1.33 (assume @p358 (forall @t12 (or @t125 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t434) @t3)) @t41))) % 1.14/1.33 (assume @p359 (forall @t12 (or @t125 (tptp.hBOOL (tptp.hAPP @t38 @t434)) @t41))) % 1.14/1.33 (assume @p360 (forall @t17 (or @t244 (tptp.c_Orderings_Opreorder @t436 @t435 @t1)))) % 1.14/1.33 (assume @p361 (forall @t17 (or @t437 (tptp.c_Orderings_Oorder @t436 @t435 @t1)))) % 1.14/1.33 (assume @p362 (forall @t17 (or @t438 (tptp.c_Orderings_Olinorder @t436 @t435 @t1)))) % 1.14/1.33 (assume @p363 (forall @t445 (or @t134 @t444 @t441 @t439))) % 1.14/1.33 (assume @p364 (forall @t446 (or @t134 @t440 (not @t444) @t439))) % 1.14/1.33 (assume @p365 (forall @t447 (or @t134 (tptp.hBOOL (tptp.hAPP @t364 @t239)) @t274 @t238))) % 1.14/1.33 (assume @p366 (forall @t448 (or @t134 @t296 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t275) @t133))) @t274))) % 1.14/1.33 (assume @p367 (forall (@list @t85 @t20 @t21 @t1) (or @t450 (not @t449)))) % 1.14/1.33 (assume @p368 (forall (@list @t1 @t20 @t21 @t85) (or @t449 @t451))) % 1.14/1.33 (assume @p369 (forall @t453 (or @t452 @t451))) % 1.14/1.33 (assume @p370 (tptp.c_Fun_Oinj__on tptp.v_h____ @t454 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_nat)) % 1.14/1.33 (assume @p371 (forall @t447 (or @t134 (tptp.hBOOL (tptp.hAPP @t162 @t239)) @t270 @t243))) % 1.14/1.33 (assume @p372 (forall @t453 (or @t452 (not (tptp.hBOOL (tptp.hAPP @t277 @t104))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t228) @t337)))))) % 1.14/1.33 (assume @p373 (forall @t316 (or @t312 @t314 @t384 @t383))) % 1.14/1.33 (assume @p374 (forall @t188 (or (= @t187 @t16) @t184 @t411))) % 1.14/1.33 (assume @p375 (= (tptp.hAPP @t236 tptp.v_n) (tptp.hAPP @t241 (tptp.c_Suc tptp.v_n)))) % 1.14/1.33 (assume @p376 (forall @t445 (or @t134 @t457 @t456 @t439))) % 1.14/1.33 (assume @p377 (forall @t446 (or @t134 @t455 (not @t457) @t439))) % 1.14/1.33 (assume @p378 (forall @t448 (or @t134 @t293 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t6 @t275) @t133))) @t274))) % 1.14/1.33 (assume @p379 (forall @t213 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_in (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t458)) (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t129) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____)) tptp.c_Arrow__Order__Mirabelle_OProf)))) % 1.14/1.33 (assume @p380 @t471) % 1.14/1.33 (assume @p381 @t474) % 1.14/1.33 (assume @p382 (forall @t478 (or @t254 @t477 @t41))) % 1.14/1.33 (assume @p383 (forall @t329 (or @t254 @t40 (not @t477)))) % 1.14/1.33 (assume @p384 (forall @t386 (or (tptp.hBOOL (tptp.hAPP @t481 @t479)) @t384))) % 1.14/1.33 (assume @p385 (forall @t485 (or @t296 (not @t484)))) % 1.14/1.33 (assume @p386 (forall @t486 (or @t484 @t297))) % 1.14/1.33 (assume @p387 (forall @t492 (or @t437 (tptp.hBOOL (tptp.hAPP @t490 @t20)) @t491 @t489))) % 1.14/1.33 (assume @p388 (forall @t492 (or @t437 @t496 @t491 @t494))) % 1.14/1.33 (assume @p389 (forall @t492 (or @t437 @t496 @t497 @t489))) % 1.14/1.33 (assume @p390 (forall @t499 (or @t244 (tptp.hBOOL (tptp.hAPP @t359 @t18)) @t498 @t363))) % 1.14/1.33 (assume @p391 (forall @t213 (tptp.hBOOL (tptp.hAPP @t242 @t129)))) % 1.14/1.33 (assume @p392 (forall @t386 (or (tptp.hBOOL (tptp.hAPP @t500 @t385)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t311) @t385))) @t501))) % 1.14/1.33 (assume @p393 (forall @t289 @t288)) % 1.14/1.33 (assume @p394 (forall @t53 (or @t437 @t502))) % 1.14/1.33 (assume @p395 (forall @t53 (or @t244 @t502))) % 1.14/1.33 (assume @p396 (forall @t499 (or @t244 @t504 @t503 @t363))) % 1.14/1.33 (assume @p397 (forall @t499 (or @t244 @t504 @t498 @t351))) % 1.14/1.33 (assume @p398 (forall (@list @t1 @t4 @t3 @t182 @t62) (or @t34 (tptp.hBOOL (tptp.hAPP @t9 @t507)) @t506 (not (tptp.hBOOL (tptp.hAPP @t9 @t505)))))) % 1.14/1.33 (assume @p399 (forall @t511 (or @t510 (= @t4 @t508)))) % 1.14/1.33 (assume @p400 (forall @t511 (or @t510 (= @t3 @t509)))) % 1.14/1.33 (assume @p401 (forall @t35 (or @t437 @t172 @t109 @t256))) % 1.14/1.33 (assume @p402 (forall @t35 (or @t437 @t172 @t256 @t109))) % 1.14/1.33 (assume @p403 (forall @t294 (or @t296 @t273 @t295))) % 1.14/1.33 (assume @p404 (forall @t294 (or @t273 @t296 @t295))) % 1.14/1.33 (assume @p405 (forall @t108 (or @t437 @t107 @t350 @t363))) % 1.14/1.33 (assume @p406 (forall @t108 (or @t437 @t350 @t107 @t363))) % 1.14/1.33 (assume @p407 (forall @t12 (or @t437 @t40 @t109 @t51))) % 1.14/1.33 (assume @p408 (forall @t12 (or @t437 @t40 @t51 @t109))) % 1.14/1.33 (assume @p409 (forall @t108 (or @t438 @t107 @t363 @t350))) % 1.14/1.33 (assume @p410 (forall @t108 (or @t438 @t107 @t350 @t363))) % 1.14/1.33 (assume @p411 (forall @t12 (or @t437 @t41 @t173))) % 1.14/1.33 (assume @p412 (forall @t108 (or @t438 @t351 @t494))) % 1.14/1.33 (assume @p413 (forall @t304 (or @t396 @t293))) % 1.14/1.33 (assume @p414 (forall @t512 (or @t438 @t488 @t362))) % 1.14/1.33 (assume @p415 (forall @t512 (or @t244 @t494 @t351))) % 1.14/1.33 (assume @p416 (forall @t35 (or @t244 @t173 @t41))) % 1.14/1.33 (assume @p417 (forall @t478 (or @t513 @t477 @t41))) % 1.14/1.33 (assume @p418 (forall @t329 (or @t254 @t40 (not @t515)))) % 1.14/1.33 (assume @p419 (forall @t171 (or @t254 @t515 @t41))) % 1.14/1.33 (assume @p420 (forall @t171 (or @t513 @t515 @t41))) % 1.14/1.33 (assume @p421 (forall (@list @t311 @t279) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 (tptp.c_HOL_Oplus__class_Oplus @t311 @t279 tptp.tc_nat)) @t279))))) % 1.14/1.33 (assume @p422 (forall (@list @t279 @t311) (not (tptp.hBOOL (tptp.hAPP @t516 @t279))))) % 1.14/1.33 (assume @p423 (forall @t53 (or (not (tptp.class_Orderings_Otop @t1)) (tptp.hBOOL (tptp.hAPP @t359 @t106))))) % 1.14/1.33 (assume @p424 (forall @t68 (or @t134 (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_HOL_Oplus__class_Oplus @t4 @t136 @t1)))))) % 1.14/1.33 (assume @p425 (forall @t486 (or @t517 @t295))) % 1.14/1.33 (assume @p426 (forall @t485 (or @t293 (not @t517)))) % 1.14/1.33 (assume @p427 (forall @t386 (or (tptp.hBOOL (tptp.hAPP @t518 @t479)) @t501))) % 1.14/1.33 (assume @p428 (forall @t478 (or @t520 @t519 @t51))) % 1.14/1.33 (assume @p429 (forall @t171 (or @t520 @t522 @t51))) % 1.14/1.33 (assume @p430 (forall @t329 (or @t254 @t50 (not @t519)))) % 1.14/1.33 (assume @p431 (forall @t478 (or @t254 @t519 @t51))) % 1.14/1.33 (assume @p432 (forall @t329 (or @t254 @t50 (not @t522)))) % 1.14/1.33 (assume @p433 (forall @t171 (or @t254 @t522 @t51))) % 1.14/1.33 (assume @p434 (forall @t108 (or @t244 @t362 @t351))) % 1.14/1.33 (assume @p435 (forall @t108 (or @t437 @t362 @t351))) % 1.14/1.33 (assume @p436 (forall @t294 (or @t293 @t297))) % 1.14/1.33 (assume @p437 (forall @t190 (or @t455 @t441))) % 1.14/1.33 (assume @p438 (forall @t526 (or (tptp.hBOOL (tptp.hAPP @t481 @t525)) @t524 @t384))) % 1.14/1.33 (assume @p439 (forall @t529 (or @t513 @t528 @t527 @t41))) % 1.14/1.33 (assume @p440 (forall @t108 (or @t438 @t107 @t350 @t493))) % 1.14/1.33 (assume @p441 (forall @t512 (or @t438 @t493 @t107 @t350))) % 1.14/1.33 (assume @p442 (forall @t108 (or @t437 @t107 @t363 @t489))) % 1.14/1.33 (assume @p443 (forall @t108 (or @t437 @t107 @t489 @t363))) % 1.14/1.33 (assume @p444 (forall @t512 (or @t438 @t493 @t350 @t107))) % 1.14/1.33 (assume @p445 (forall (@list @t21 @t20) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t236 @t21) @t20)) @t440 @t107))) % 1.14/1.33 (assume @p446 (forall (@list @t57 @t129 @t272) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t129) @t272)) @t301 @t273 @t296))) % 1.14/1.33 (assume @p447 (forall @t304 (or @t301 @t296 @t273))) % 1.14/1.33 (assume @p448 (forall @t294 (or @t273 @t397 @t295))) % 1.14/1.33 (assume @p449 (forall @t108 (or @t438 @t107 @t493 @t350))) % 1.14/1.33 (assume @p450 (forall @t512 (or @t121 @t493 @t350 @t107))) % 1.14/1.33 (assume @p451 (forall @t284 (tptp.hBOOL (tptp.hAPP @t292 @t282)))) % 1.14/1.33 (assume @p452 (forall @t304 (tptp.hBOOL (tptp.hAPP @t242 @t392)))) % 1.14/1.33 (assume @p453 (forall @t304 (tptp.hBOOL (tptp.hAPP @t242 @t530)))) % 1.14/1.33 (assume @p454 (forall @t53 (tptp.hBOOL (tptp.hAPP @t16 @t20)))) % 1.14/1.33 (assume @p455 (forall @t53 (or @t244 @t532))) % 1.14/1.33 (assume @p456 (forall @t53 (or @t438 @t532))) % 1.14/1.33 (assume @p457 (forall @t53 (or @t437 @t532))) % 1.14/1.33 (assume @p458 (forall @t213 (not (tptp.hBOOL (tptp.hAPP @t237 @t129))))) % 1.14/1.33 (assume @p459 (forall @t289 (not @t387))) % 1.14/1.33 (assume @p460 (forall @t108 (or @t244 @t350 @t488 @t363))) % 1.14/1.33 (assume @p461 (forall @t53 (tptp.hBOOL (tptp.hAPP @t55 @t16)))) % 1.14/1.33 (assume @p462 (forall @t108 (or @t370 (= @t259 (tptp.c_HOL_Oplus__class_Oplus @t21 @t20 @t1))))) % 1.14/1.33 (assume @p463 (forall (@list @t272 @t523 @t385 @t129) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t272 @t523 tptp.tc_nat) @t482)) @t524 @t296))) % 1.14/1.33 (assume @p464 (forall @t294 (= @t392 @t530))) % 1.14/1.33 (assume @p465 (forall @t12 (or @t253 (= @t5 @t533)))) % 1.14/1.33 (assume @p466 (forall (@list @t1 @t4 @t62) (or @t370 (= @t251 @t476)))) % 1.14/1.33 (assume @p467 (forall @t535 (or (tptp.hBOOL (tptp.hAPP @t280 @t534)) @t384))) % 1.14/1.33 (assume @p468 (forall @t537 (or (tptp.hBOOL (tptp.hAPP @t280 @t536)) @t384))) % 1.14/1.33 (assume @p469 (forall @t386 (or (tptp.hBOOL (tptp.hAPP @t280 @t385)) (not (tptp.hBOOL (tptp.hAPP @t516 @t385)))))) % 1.14/1.33 (assume @p470 (forall @t540 (or @t539 (not (tptp.hBOOL (tptp.hAPP @t285 @t18)))))) % 1.14/1.33 (assume @p471 (forall @t540 (or @t539 @t441))) % 1.14/1.33 (assume @p472 (forall @t526 (or (tptp.hBOOL (tptp.hAPP @t518 @t525)) (not (tptp.hBOOL (tptp.hAPP @t541 @t523))) @t501))) % 1.14/1.33 (assume @p473 (forall @t529 (or @t520 (tptp.hBOOL (tptp.hAPP @t521 @t507)) @t506 @t51))) % 1.14/1.33 (assume @p474 (forall @t499 (or @t244 @t504 @t503 @t351))) % 1.14/1.33 (assume @p475 (forall @t492 (or @t437 @t496 @t497 @t494))) % 1.14/1.33 (assume @p476 (forall @t25 (or @t370 (= @t23 (tptp.c_HOL_Oplus__class_Oplus @t259 @t18 @t1))))) % 1.14/1.33 (assume @p477 (forall @t25 (or @t24 (= @t23 (tptp.c_HOL_Oplus__class_Oplus @t21 @t542 @t1))))) % 1.14/1.33 (assume @p478 (forall @t540 (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t538 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t21 @t543 tptp.tc_nat)))) % 1.14/1.33 (assume @p479 (forall @t485 (= (tptp.c_HOL_Oplus__class_Oplus @t392 @t385 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t272 @t544 tptp.tc_nat)))) % 1.14/1.33 (assume @p480 (forall @t329 (or @t253 @t547))) % 1.14/1.33 (assume @p481 (forall @t329 (or @t253 (= @t545 (tptp.c_HOL_Oplus__class_Oplus @t3 @t251 @t1))))) % 1.14/1.33 (assume @p482 (forall @t329 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t547))) % 1.14/1.33 (assume @p483 (forall @t550 (or @t370 (= @t549 (tptp.c_HOL_Oplus__class_Oplus @t251 @t182 @t1))))) % 1.14/1.33 (assume @p484 (forall @t329 (or @t370 (= @t546 (tptp.c_HOL_Oplus__class_Oplus @t251 @t3 @t1))))) % 1.14/1.33 (assume @p485 (forall @t550 (or @t370 (= @t549 (tptp.c_HOL_Oplus__class_Oplus @t62 (tptp.c_HOL_Oplus__class_Oplus @t4 @t182 @t1) @t1))))) % 1.14/1.33 (assume @p486 (forall @t329 (or @t370 @t547))) % 1.14/1.33 (assume @p487 (forall (@list @t1 @t20 @t21 @t18 @t551) (or @t24 (not (= @t23 (tptp.c_HOL_Oplus__class_Oplus @t21 @t551 @t1))) (= @t542 @t551)))) % 1.14/1.33 (assume @p488 (forall @t535 (or (tptp.hBOOL (tptp.hAPP @t500 @t534)) @t501))) % 1.14/1.33 (assume @p489 (forall @t537 (or (tptp.hBOOL (tptp.hAPP @t500 @t536)) @t501))) % 1.14/1.33 (assume @p490 (forall (@list @t385 @t129 @t272) (or (tptp.hBOOL (tptp.hAPP @t541 @t129)) @t553))) % 1.14/1.33 (assume @p491 (forall @t485 (or @t293 @t553))) % 1.14/1.33 (assume @p492 (forall @t540 (or @t554 (not (tptp.hBOOL (tptp.hAPP @t287 @t18)))))) % 1.14/1.33 (assume @p493 (forall @t540 (or @t554 @t456))) % 1.14/1.33 (assume @p494 (forall (@list @t1 @t20 @t343) (or @t556 (not @t555)))) % 1.14/1.33 (assume @p495 (forall (@list @t343 @t20 @t1) (or @t555 (not @t556)))) % 1.14/1.33 (assume @p496 (forall (@list @t57 @t557 @t84 @t1 @t558 @t104) (= (tptp.hAPP (tptp.c_COMBB @t57 @t557 @t84 @t1 @t558) @t104) (tptp.hAPP @t57 (tptp.hAPP @t557 @t104))))) % 1.14/1.33 (assume @p497 (forall (@list @t57 @t84 @t558 @t1 @t557 @t104) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t57 @t84 @t558 @t1) @t557) @t104) (tptp.hAPP (tptp.hAPP @t57 @t104) @t557)))) % 1.14/1.33 (assume @p498 (forall @t108 (or @t438 @t350 @t488))) % 1.14/1.33 (assume @p499 (forall @t53 (or @t438 (not @t502) @t532))) % 1.14/1.33 (assume @p500 (forall @t53 (or @t438 @t531 @t502))) % 1.14/1.33 (assume @p501 (forall @t108 (or @t438 @t351 @t489))) % 1.14/1.33 (assume @p502 (forall @t512 (or @t438 @t488 @t350))) % 1.14/1.33 (assume @p503 (forall @t108 (or @t438 @t363 @t494))) % 1.14/1.33 (assume @p504 (forall @t512 (or @t438 @t493 @t362))) % 1.14/1.33 (assume @p505 (forall @t512 (or @t244 @t489 @t351))) % 1.14/1.33 (assume @p506 (forall @t540 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t20 @t21 tptp.tc_nat) @t543)) @t404))) % 1.14/1.33 (assume @p507 (forall (@list @t272 @t385 @t129) (or (not (= @t552 @t544)) @t273))) % 1.14/1.33 (assume @p508 (forall @t486 (or (not (= @t483 @t482)) @t273))) % 1.14/1.33 (assume @p509 (forall @t25 (or @t369 @t368 (not (= @t259 @t542)) @t404))) % 1.14/1.33 (assume @p510 (forall @t329 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t560 @t559))) % 1.14/1.33 (assume @p511 (forall @t329 (or @t561 @t560 @t559))) % 1.14/1.33 (assume @p512 (forall @t255 (or @t561 (not (= @t533 @t476)) @t559))) % 1.14/1.33 (assume @p513 (forall (@list @t1 @t4 @t3 @t62 @t182) (or @t370 (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t548 @t1) (tptp.c_HOL_Oplus__class_Oplus @t251 @t507 @t1))))) % 1.14/1.33 (assume @p514 (forall @t529 (or @t513 @t528 @t527 @t51))) % 1.14/1.33 (assume @p515 (forall @t529 (or @t513 @t528 @t506 @t41))) % 1.14/1.33 (assume @p516 @t563) % 1.14/1.33 (assume @p517 @t564) % 1.14/1.33 (assume @p518 @t565) % 1.14/1.33 (assume @p519 (not tptp.v_thesis____)) % 1.14/1.33 (assume @p520 (forall @t570 (or tptp.v_thesis____ @t569 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t241 @t568) @t566)) @t567))) % 1.14/1.33 (assume @p521 (forall @t570 (or tptp.v_thesis____ @t569 (not (tptp.hBOOL (tptp.hAPP @t466 (tptp.hAPP tptp.v_F (tptp.hAPP (tptp.c_COMBC (tptp.hAPP (tptp.c_COMBC (tptp.c_COMBB @t462 (tptp.hAPP @t461 @t568) tptp.tc_bool @t460 tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t459) tptp.v_Lab____) tptp.tc_Arrow__Order__Mirabelle_Oindi @t458 @t458) tptp.v_Lba____))))) @t567))) % 1.14/1.33 (assume @p522 (forall @t574 (or (tptp.class_Lattices_Oboolean__algebra @t573) (not (tptp.class_Lattices_Oboolean__algebra @t571))))) % 1.14/1.33 (assume @p523 (forall @t574 (or (tptp.class_Orderings_Opreorder @t573) (not (tptp.class_Orderings_Opreorder @t571))))) % 1.14/1.33 (assume @p524 (forall @t574 (or (tptp.class_Orderings_Oorder @t573) (not (tptp.class_Orderings_Oorder @t571))))) % 1.14/1.33 (assume @p525 (forall @t574 (or (tptp.class_Orderings_Otop @t573) (not (tptp.class_Orderings_Otop @t571))))) % 1.14/1.33 (assume @p526 (forall @t574 (or (tptp.class_Orderings_Obot @t573) (not (tptp.class_Orderings_Obot @t571))))) % 1.14/1.33 (assume @p527 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 1.14/1.33 (assume @p528 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 1.14/1.33 (assume @p529 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 1.14/1.33 (assume @p530 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 1.14/1.33 (assume @p531 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 1.14/1.33 (assume @p532 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 1.14/1.33 (assume @p533 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 1.14/1.33 (assume @p534 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 1.14/1.33 (assume @p535 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 1.14/1.33 (assume @p536 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 1.14/1.33 (assume @p537 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 1.14/1.33 (assume @p538 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 1.14/1.33 (assume @p539 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 1.14/1.33 (assume @p540 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 1.14/1.33 (assume @p541 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 1.14/1.33 (assume @p542 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 1.14/1.33 (assume @p543 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 1.14/1.33 (assume @p544 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 1.14/1.33 (assume @p545 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 1.14/1.33 (assume @p546 (tptp.class_Orderings_Obot tptp.tc_nat)) % 1.14/1.33 (assume @p547 (tptp.class_Power_Opower tptp.tc_nat)) % 1.14/1.33 (assume @p548 (tptp.class_Lattices_Oboolean__algebra tptp.tc_bool)) % 1.14/1.33 (assume @p549 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 1.14/1.33 (assume @p550 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 1.14/1.33 (assume @p551 (tptp.class_Orderings_Otop tptp.tc_bool)) % 1.14/1.33 (assume @p552 (tptp.class_Orderings_Obot tptp.tc_bool)) % 1.14/1.33 (assume @p553 (forall (@list @t20 @t1) (tptp.c_fequal @t20 @t20 @t1))) % 1.14/1.33 (assume @p554 (forall (@list @t576 @t575 @t1) (or (= @t576 @t575) (not (tptp.c_fequal @t576 @t575 @t1))))) % 1.14/1.33 (step @p555 :rule quant-miniscope-or :args ((= (forall @t213 @t579) (or tptp.v_thesis____ @t578)))) % 1.14/1.33 (step @p556 :rule aci_norm :args ((= @t473 @t579))) % 1.14/1.33 (step @p557 :rule cong :premises (@p556) :args (@t474)) % 1.14/1.33 (step @p558 :rule trans :premises (@p557 @p555)) % 1.14/1.33 (step @p559 :rule eq_resolve :premises (@p381 @p558)) % 1.14/1.33 (step @p560 :rule chain_m_resolution :premises (@p559 @p519) :args (@t578 @t580 @t581)) % 1.14/1.33 (step @p561 :rule instantiate :premises (@p560) :args (@t582)) % 1.14/1.33 (step @p562 :rule cnf_or_pos :args (@t587)) % 1.14/1.33 (step @p563 :rule reordering :premises (@p562) :args ((or @t586 @t583 @t585 (not @t587)))) % 1.14/1.33 (step @p564 :rule chain_m_resolution :premises (@p563 @p516 @p518 @p561) :args (@t585 @t588 (@list @t563 @t565 @t587))) % 1.14/1.33 (step @p565 :rule quant-miniscope-or :args ((= (forall @t213 @t591) (or tptp.v_thesis____ @t590)))) % 1.14/1.33 (step @p566 :rule aci_norm :args ((= @t470 @t591))) % 1.14/1.33 (step @p567 :rule cong :premises (@p566) :args (@t471)) % 1.14/1.33 (step @p568 :rule trans :premises (@p567 @p565)) % 1.14/1.33 (step @p569 :rule eq_resolve :premises (@p380 @p568)) % 1.14/1.33 (step @p570 :rule chain_m_resolution :premises (@p569 @p519) :args (@t590 @t580 @t581)) % 1.14/1.33 (step @p571 :rule instantiate :premises (@p570) :args (@t582)) % 1.14/1.33 (step @p572 :rule cnf_or_pos :args (@t594)) % 1.14/1.33 (step @p573 :rule reordering :premises (@p572) :args ((or @t586 @t583 @t593 (not @t594)))) % 1.14/1.33 (step @p574 :rule chain_m_resolution :premises (@p573 @p516 @p518 @p571) :args (@t593 @t588 (@list @t563 @t565 @t594))) % 1.14/1.33 (step @p575 :rule cnf_or_pos :args (@t596)) % 1.14/1.33 (step @p576 :rule reordering :premises (@p575) :args ((or @t592 @t595 @t597))) % 1.14/1.33 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p564) :args (@t597 @t598 (@list @t592 @t585))) % 1.14/1.33 (assume-push @p584 @t564) % 1.14/1.33 (step @p579 :rule instantiate :premises (@p517) :args ((@list @t584))) % 1.14/1.33 (step-pop @p585 :rule scope :premises (@p579)) % 1.14/1.33 (step @p580 :rule process_scope :premises (@p585) :args (@t596)) % 1.14/1.33 (step @p582 :rule implies_elim :premises (@p580)) % 1.14/1.33 (step @p583 false :rule chain_m_resolution :premises (@p582 @p577 @p517) :args (false @t598 (@list @t596 @t564))) % 1.14/1.33 ) % 1.14/1.33 % SZS output end Proof % 1.14/1.33 % cvc5 exiting %------------------------------------------------------------------------------