%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV886-1 : 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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:33 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV886-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:19:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.39 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Unsatisfiable % 0.53/0.74 % SZS output start Proof % 0.53/0.76 ( % 0.53/0.76 (declare-sort $$unsorted 0) % 0.53/0.76 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.v_pn $$unsorted) % 0.53/0.76 (declare-const tptp.v_G $$unsorted) % 0.53/0.76 (declare-const tptp.v_mgt__call $$unsorted) % 0.53/0.76 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_HOL_Oord (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.c_Ring__and__Field_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.v_na $$unsorted) % 0.53/0.76 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.tc_bool $$unsorted) % 0.53/0.76 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Finite__Set_Olinorder__class_OMin (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.t_a $$unsorted) % 0.53/0.76 (declare-const tptp.tc_nat $$unsorted) % 0.53/0.76 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Finite__Set_Olinorder__class_OMax (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.76 (declare-const tptp.class_Finite__Set_Ofinite_Ofinite (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.53/0.76 (declare-const tptp.tc_Com_Opname $$unsorted) % 0.53/0.76 (declare-const tptp.v_U $$unsorted) % 0.53/0.76 (define @t1 () (@var "V_xa" $$unsorted)) % 0.53/0.76 (define @t2 () (@var "V_x" $$unsorted)) % 0.53/0.76 (define @t3 () (@var "T_b" $$unsorted)) % 0.53/0.76 (define @t4 () (@var "T_a" $$unsorted)) % 0.53/0.76 (define @t5 () (@var "V_A" $$unsorted)) % 0.53/0.76 (define @t6 () (@var "V_f" $$unsorted)) % 0.53/0.76 (define @t7 () (tptp.c_Fun_Oinj__on @t6 @t5 @t4 @t3)) % 0.53/0.76 (define @t8 () (not @t7)) % 0.53/0.76 (define @t9 () (tptp.c_in @t2 @t5 @t4)) % 0.53/0.76 (define @t10 () (not @t9)) % 0.53/0.76 (define @t11 () (tptp.hAPP @t6 @t2)) % 0.53/0.76 (define @t12 () (@var "V_y" $$unsorted)) % 0.53/0.76 (define @t13 () (= @t2 @t12)) % 0.53/0.76 (define @t14 () (not (tptp.c_in @t12 @t5 @t4))) % 0.53/0.76 (define @t15 () (not (= @t11 (tptp.hAPP @t6 @t12)))) % 0.53/0.76 (define @t16 () (@list @t6 @t2 @t12 @t5 @t4 @t3)) % 0.53/0.76 (define @t17 () (tptp.tc_fun @t4 tptp.tc_bool)) % 0.53/0.76 (define @t18 () (@var "V_B" $$unsorted)) % 0.53/0.76 (define @t19 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t18 @t17)) % 0.53/0.76 (define @t20 () (@var "V_c" $$unsorted)) % 0.53/0.76 (define @t21 () (tptp.c_in @t20 @t19 @t4)) % 0.53/0.76 (define @t22 () (not @t21)) % 0.53/0.76 (define @t23 () (tptp.c_in @t20 @t5 @t4)) % 0.53/0.76 (define @t24 () (tptp.c_in @t20 @t18 @t4)) % 0.53/0.76 (define @t25 () (@list @t20 @t18 @t4 @t5)) % 0.53/0.76 (define @t26 () (tptp.c_Orderings_Obot__class_Obot @t17)) % 0.53/0.76 (define @t27 () (@var "V_a" $$unsorted)) % 0.53/0.76 (define @t28 () (tptp.c_in @t2 @t26 @t4)) % 0.53/0.76 (define @t29 () (not @t28)) % 0.53/0.76 (define @t30 () (@var "V_P" $$unsorted)) % 0.53/0.76 (define @t31 () (tptp.hBOOL (tptp.hAPP @t30 @t2))) % 0.53/0.76 (define @t32 () (@list @t30 @t2 @t4)) % 0.53/0.76 (define @t33 () (@list @t2 @t4)) % 0.53/0.76 (define @t34 () (tptp.c_lessequals @t5 @t18 @t17)) % 0.53/0.76 (define @t35 () (not @t34)) % 0.53/0.76 (define @t36 () (tptp.c_in @t2 @t18 @t4)) % 0.53/0.76 (define @t37 () (@list @t2 @t18 @t4 @t5)) % 0.53/0.76 (define @t38 () (not @t23)) % 0.53/0.76 (define @t39 () (@var "V_t" $$unsorted)) % 0.53/0.76 (define @t40 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t12 tptp.tc_nat))) % 0.53/0.76 (define @t41 () (@var "V_z" $$unsorted)) % 0.53/0.76 (define @t42 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t41 tptp.tc_nat))) % 0.53/0.76 (define @t43 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t41 @t12 tptp.tc_nat)) % 0.53/0.76 (define @t44 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t41 @t2 tptp.tc_nat))) % 0.53/0.76 (define @t45 () (@list @t41 @t2 @t12)) % 0.53/0.76 (define @t46 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t12 @t2 tptp.tc_nat)) % 0.53/0.76 (define @t47 () (tptp.c_HOL_Ozero__class_Ozero @t4)) % 0.53/0.76 (define @t48 () (tptp.c_HOL_Oord__class_Oless @t47 @t27 @t4)) % 0.53/0.76 (define @t49 () (not @t48)) % 0.53/0.76 (define @t50 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t27 @t4)) % 0.53/0.76 (define @t51 () (tptp.c_HOL_Oord__class_Oless @t47 @t50 @t4)) % 0.53/0.76 (define @t52 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t4))) % 0.53/0.76 (define @t53 () (@list @t4 @t27)) % 0.53/0.76 (define @t54 () (@var "V_m" $$unsorted)) % 0.53/0.76 (define @t55 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.53/0.76 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t55 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t57 () (not @t56)) % 0.53/0.76 (define @t58 () (@var "V_n" $$unsorted)) % 0.53/0.76 (define @t59 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t60 () (tptp.c_HOL_Oord__class_Oless @t55 @t59 tptp.tc_nat)) % 0.53/0.76 (define @t61 () (@list @t54 @t58)) % 0.53/0.76 (define @t62 () (tptp.c_HOL_Oord__class_Oless @t55 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t63 () (not @t62)) % 0.53/0.76 (define @t64 () (@var "V_b" $$unsorted)) % 0.53/0.76 (define @t65 () (tptp.c_HOL_Oord__class_Oless @t27 @t64 @t4)) % 0.53/0.76 (define @t66 () (not @t65)) % 0.53/0.76 (define @t67 () (@var "V_d" $$unsorted)) % 0.53/0.76 (define @t68 () (not (tptp.c_lessequals @t20 @t67 @t4))) % 0.53/0.76 (define @t69 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t67 @t4)) % 0.53/0.76 (define @t70 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t20 @t4)) % 0.53/0.76 (define @t71 () (tptp.c_HOL_Oord__class_Oless @t70 @t69 @t4)) % 0.53/0.76 (define @t72 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t4))) % 0.53/0.76 (define @t73 () (@list @t4 @t27 @t20 @t64 @t67)) % 0.53/0.76 (define @t74 () (tptp.c_lessequals @t27 @t64 @t4)) % 0.53/0.76 (define @t75 () (not @t74)) % 0.53/0.76 (define @t76 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t67 @t4))) % 0.53/0.76 (define @t77 () (= (tptp.c_HOL_Oplus__class_Oplus @t47 @t27 @t4) @t27)) % 0.53/0.76 (define @t78 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t4))) % 0.53/0.76 (define @t79 () (= (tptp.c_HOL_Oplus__class_Oplus @t27 @t47 @t4) @t27)) % 0.53/0.76 (define @t80 () (not (tptp.class_OrderedGroup_Omonoid__add @t4))) % 0.53/0.76 (define @t81 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t4))) % 0.53/0.76 (define @t82 () (not (tptp.class_Int_Onumber__ring @t4))) % 0.53/0.76 (define @t83 () (not (tptp.class_Ring__and__Field_Oidom @t4))) % 0.53/0.76 (define @t84 () (@list @t4 @t2)) % 0.53/0.76 (define @t85 () (@list @t54)) % 0.53/0.76 (define @t86 () (@list @t58)) % 0.53/0.76 (define @t87 () (@list @t2)) % 0.53/0.76 (define @t88 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t54 @t4)) % 0.53/0.76 (define @t89 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t4))) % 0.53/0.76 (define @t90 () (@list @t4 @t54)) % 0.53/0.76 (define @t91 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t58 @t4)) % 0.53/0.76 (define @t92 () (@list @t4 @t58)) % 0.53/0.76 (define @t93 () (tptp.c_Set_Oinsert @t2 @t26 @t4)) % 0.53/0.76 (define @t94 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t93 @t17)) % 0.53/0.76 (define @t95 () (tptp.c_lessequals @t94 @t18 @t17)) % 0.53/0.76 (define @t96 () (not @t95)) % 0.53/0.76 (define @t97 () (tptp.c_Set_Oinsert @t2 @t18 @t4)) % 0.53/0.76 (define @t98 () (tptp.c_lessequals @t5 @t97 @t17)) % 0.53/0.76 (define @t99 () (@list @t5 @t2 @t18 @t4)) % 0.53/0.76 (define @t100 () (tptp.c_HOL_Oone__class_Oone @t4)) % 0.53/0.76 (define @t101 () (@list @t4)) % 0.53/0.76 (define @t102 () (= @t5 @t26)) % 0.53/0.76 (define @t103 () (tptp.c_Finite__Set_Ofinite @t5 @t4)) % 0.53/0.76 (define @t104 () (not @t103)) % 0.53/0.76 (define @t105 () (tptp.c_Finite__Set_Ocard @t5 @t4)) % 0.53/0.76 (define @t106 () (tptp.c_HOL_Oord__class_Oless @t55 @t105 tptp.tc_nat)) % 0.53/0.76 (define @t107 () (@list @t5 @t4)) % 0.53/0.76 (define @t108 () (tptp.c_Finite__Set_Ocard @t26 @t4)) % 0.53/0.76 (define @t109 () (tptp.c_Suc @t55)) % 0.53/0.76 (define @t110 () (= @t54 @t109)) % 0.53/0.76 (define @t111 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t64 @t4)) % 0.53/0.76 (define @t112 () (not @t111)) % 0.53/0.76 (define @t113 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t20 @t4)) % 0.53/0.76 (define @t114 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t20 @t4)) % 0.53/0.76 (define @t115 () (@list @t4 @t27 @t64 @t20)) % 0.53/0.76 (define @t116 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t67 @t4)) % 0.53/0.76 (define @t117 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t64 @t4)) % 0.53/0.76 (define @t118 () (= @t54 @t55)) % 0.53/0.76 (define @t119 () (not (= @t59 @t109))) % 0.53/0.76 (define @t120 () (= @t58 @t55)) % 0.53/0.76 (define @t121 () (= @t58 @t109)) % 0.53/0.76 (define @t122 () (tptp.c_Suc @t54)) % 0.53/0.76 (define @t123 () (tptp.c_Divides_Odiv__class_Omod @t122 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t124 () (tptp.c_Divides_Odiv__class_Omod @t54 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t125 () (tptp.c_Suc @t124)) % 0.53/0.76 (define @t126 () (= @t125 @t58)) % 0.53/0.76 (define @t127 () (= @t64 @t20)) % 0.53/0.76 (define @t128 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t27 @t4)) % 0.53/0.76 (define @t129 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t27 @t4)) % 0.53/0.76 (define @t130 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t4))) % 0.53/0.76 (define @t131 () (@list @t4 @t64 @t27 @t20)) % 0.53/0.76 (define @t132 () (not (= @t117 @t70))) % 0.53/0.76 (define @t133 () (= @t12 @t41)) % 0.53/0.76 (define @t134 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t41 @t4)) % 0.53/0.76 (define @t135 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t12 @t4)) % 0.53/0.76 (define @t136 () (@list @t4 @t2 @t12 @t41)) % 0.53/0.76 (define @t137 () (= @t54 @t58)) % 0.53/0.76 (define @t138 () (@var "V_k" $$unsorted)) % 0.53/0.76 (define @t139 () (tptp.c_HOL_Oplus__class_Oplus @t138 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t140 () (tptp.c_HOL_Oplus__class_Oplus @t138 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t141 () (@list @t138 @t54 @t58)) % 0.53/0.76 (define @t142 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t143 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t144 () (@list @t54 @t138 @t58)) % 0.53/0.76 (define @t145 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t41 tptp.tc_nat)) % 0.53/0.76 (define @t146 () (@list @t2 @t12 @t41)) % 0.53/0.76 (define @t147 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.53/0.76 (define @t148 () (not (tptp.c_lessequals @t47 @t64 @t4))) % 0.53/0.76 (define @t149 () (tptp.c_HOL_Oord__class_Oless @t47 @t117 @t4)) % 0.53/0.76 (define @t150 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t4))) % 0.53/0.76 (define @t151 () (@list @t4 @t27 @t64)) % 0.53/0.76 (define @t152 () (tptp.c_lessequals @t47 @t27 @t4)) % 0.53/0.76 (define @t153 () (not @t152)) % 0.53/0.76 (define @t154 () (not (tptp.c_HOL_Oord__class_Oless @t47 @t64 @t4))) % 0.53/0.76 (define @t155 () (= (tptp.c_Divides_Odiv__class_Omod @t64 @t27 @t4) @t47)) % 0.53/0.76 (define @t156 () (not (tptp.class_Divides_Osemiring__div @t4))) % 0.53/0.76 (define @t157 () (@list @t4 @t64 @t27)) % 0.53/0.76 (define @t158 () (= @t27 @t47)) % 0.53/0.76 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t27 @t47 @t4)) % 0.53/0.76 (define @t160 () (not @t159)) % 0.53/0.76 (define @t161 () (not (tptp.c_HOL_Oord__class_Oless @t64 @t47 @t4))) % 0.53/0.76 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t117 @t47 @t4)) % 0.53/0.76 (define @t163 () (tptp.c_Set_Oinsert @t27 @t5 @t4)) % 0.53/0.76 (define @t164 () (tptp.c_Set_Oinsert @t27 @t26 @t4)) % 0.53/0.76 (define @t165 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t164 @t17)) % 0.53/0.76 (define @t166 () (tptp.c_Set_Oinsert @t27 @t165 @t4)) % 0.53/0.76 (define @t167 () (@list @t27 @t5 @t4)) % 0.53/0.76 (define @t168 () (@list @t5 @t18 @t4)) % 0.53/0.76 (define @t169 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t4))) % 0.53/0.76 (define @t170 () (tptp.c_Suc @t2)) % 0.53/0.76 (define @t171 () (tptp.c_Suc @t58)) % 0.53/0.76 (define @t172 () (tptp.tc_fun @t3 tptp.tc_bool)) % 0.53/0.76 (define @t173 () (tptp.c_Set_Oimage @t6 @t18 @t3 @t4)) % 0.53/0.76 (define @t174 () (tptp.c_Set_Oimage @t6 @t5 @t3 @t4)) % 0.53/0.76 (define @t175 () (not (tptp.class_Orderings_Olinorder @t4))) % 0.53/0.76 (define @t176 () (not (= @t109 @t59))) % 0.53/0.76 (define @t177 () (@var "V_N" $$unsorted)) % 0.53/0.76 (define @t178 () (@var "V_M" $$unsorted)) % 0.53/0.76 (define @t179 () (not (tptp.c_lessequals @t178 @t177 @t17))) % 0.53/0.76 (define @t180 () (= @t178 @t26)) % 0.53/0.76 (define @t181 () (not (tptp.c_Finite__Set_Ofinite @t177 @t4))) % 0.53/0.76 (define @t182 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t4))) % 0.53/0.76 (define @t183 () (tptp.c_HOL_Oplus__class_Oplus @t58 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t184 () (@list @t58 @t54)) % 0.53/0.76 (define @t185 () (not (tptp.c_HOL_Oord__class_Oless @t64 @t20 @t4))) % 0.53/0.76 (define @t186 () (tptp.c_HOL_Oord__class_Oless @t64 @t70 @t4)) % 0.53/0.76 (define @t187 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t4))) % 0.53/0.76 (define @t188 () (tptp.c_HOL_Oplus__class_Oplus @t55 @t109 tptp.tc_nat)) % 0.53/0.76 (define @t189 () (tptp.c_Divides_Odiv__class_Omod @t64 @t20 @t4)) % 0.53/0.76 (define @t190 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t27 @t189 @t4) @t20 @t4)) % 0.53/0.76 (define @t191 () (tptp.c_Divides_Odiv__class_Omod @t117 @t20 @t4)) % 0.53/0.76 (define @t192 () (tptp.c_Divides_Odiv__class_Omod @t27 @t20 @t4)) % 0.53/0.76 (define @t193 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t192 @t64 @t4) @t20 @t4)) % 0.53/0.76 (define @t194 () (not @t31)) % 0.53/0.76 (define @t195 () (tptp.c_lessequals @t2 @t12 @t4)) % 0.53/0.76 (define @t196 () (not @t195)) % 0.53/0.76 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t2 @t12 @t4)) % 0.53/0.76 (define @t198 () (@list @t4 @t2 @t12)) % 0.53/0.76 (define @t199 () (= @t27 @t64)) % 0.53/0.76 (define @t200 () (not (tptp.class_Orderings_Oorder @t4))) % 0.53/0.76 (define @t201 () (not (tptp.c_lessequals @t64 @t27 @t4))) % 0.53/0.76 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t64 @t27 @t4)) % 0.53/0.76 (define @t203 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t4))) % 0.53/0.76 (define @t204 () (not @t197)) % 0.53/0.76 (define @t205 () (not (tptp.c_lessequals @t12 @t41 @t4))) % 0.53/0.76 (define @t206 () (tptp.c_HOL_Oord__class_Oless @t2 @t41 @t4)) % 0.53/0.76 (define @t207 () (not (tptp.class_Orderings_Opreorder @t4))) % 0.53/0.76 (define @t208 () (@list @t4 @t2 @t41 @t12)) % 0.53/0.76 (define @t209 () (not (tptp.c_HOL_Oord__class_Oless @t12 @t41 @t4))) % 0.53/0.76 (define @t210 () (tptp.c_lessequals @t12 @t2 @t4)) % 0.53/0.76 (define @t211 () (not @t210)) % 0.53/0.76 (define @t212 () (not (tptp.c_HOL_Oord__class_Oless @t41 @t12 @t4))) % 0.53/0.76 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t41 @t2 @t4)) % 0.53/0.76 (define @t214 () (@list @t4 @t41 @t2 @t12)) % 0.53/0.76 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t12 @t2 @t4)) % 0.53/0.76 (define @t216 () (not @t215)) % 0.53/0.76 (define @t217 () (not (tptp.c_lessequals @t41 @t12 @t4))) % 0.53/0.76 (define @t218 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t64 @t4)) % 0.53/0.76 (define @t219 () (tptp.c_lessequals @t128 @t218 @t4)) % 0.53/0.76 (define @t220 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t4))) % 0.53/0.76 (define @t221 () (@list @t4 @t20 @t27 @t64)) % 0.53/0.76 (define @t222 () (tptp.c_lessequals @t70 @t114 @t4)) % 0.53/0.76 (define @t223 () (@list @t4 @t27 @t20 @t64)) % 0.53/0.76 (define @t224 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 @t4)) % 0.53/0.76 (define @t225 () (not @t224)) % 0.53/0.76 (define @t226 () (tptp.c_lessequals @t2 @t2 @t4)) % 0.53/0.76 (define @t227 () (@list @t4 @t12 @t2)) % 0.53/0.76 (define @t228 () (@var "V_g" $$unsorted)) % 0.53/0.76 (define @t229 () (tptp.c_Finite__Set_Olinorder__class_OMin @t5 @t4)) % 0.53/0.76 (define @t230 () (@list @t4 @t5)) % 0.53/0.76 (define @t231 () (tptp.c_Finite__Set_Olinorder__class_OMax @t5 @t4)) % 0.53/0.76 (define @t232 () (@var "V_y_H" $$unsorted)) % 0.53/0.76 (define @t233 () (@var "V_x_H" $$unsorted)) % 0.53/0.76 (define @t234 () (tptp.c_HOL_Oord__class_Oless @t233 @t232 @t4)) % 0.53/0.76 (define @t235 () (tptp.c_HOL_Ominus__class_Ominus @t233 @t232 @t4)) % 0.53/0.76 (define @t236 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t12 @t4)) % 0.53/0.76 (define @t237 () (not (= @t236 @t235))) % 0.53/0.76 (define @t238 () (@list @t4 @t2 @t12 @t233 @t232)) % 0.53/0.76 (define @t239 () (@var "V_b_H" $$unsorted)) % 0.53/0.76 (define @t240 () (@var "V_a_H" $$unsorted)) % 0.53/0.76 (define @t241 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t64 @t4)) % 0.53/0.76 (define @t242 () (tptp.c_Divides_Odiv__class_Omod @t241 @t20 @t4)) % 0.53/0.76 (define @t243 () (not (= @t192 (tptp.c_Divides_Odiv__class_Omod @t240 @t20 @t4)))) % 0.53/0.76 (define @t244 () (not (= @t189 (tptp.c_Divides_Odiv__class_Omod @t239 @t20 @t4)))) % 0.53/0.76 (define @t245 () (not (tptp.class_Divides_Oring__div @t4))) % 0.53/0.76 (define @t246 () (@list @t4 @t64 @t20 @t239 @t27 @t240)) % 0.53/0.76 (define @t247 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t2 @t4)) % 0.53/0.76 (define @t248 () (= @t247 @t47)) % 0.53/0.76 (define @t249 () (not (tptp.class_OrderedGroup_Ogroup__add @t4))) % 0.53/0.76 (define @t250 () (not (tptp.class_OrderedGroup_Oab__group__add @t4))) % 0.53/0.76 (define @t251 () (not (= @t241 @t47))) % 0.53/0.76 (define @t252 () (tptp.c_in @t27 @t5 @t4)) % 0.53/0.76 (define @t253 () (not @t252)) % 0.53/0.76 (define @t254 () (tptp.c_Set_Oinsert @t2 @t5 @t4)) % 0.53/0.76 (define @t255 () (@list @t2 @t5 @t4)) % 0.53/0.76 (define @t256 () (not (tptp.c_Finite__Set_Ofinite @t18 @t4))) % 0.53/0.76 (define @t257 () (@list @t5 @t4 @t18)) % 0.53/0.76 (define @t258 () (tptp.c_Finite__Set_Ofinite @t19 @t4)) % 0.53/0.76 (define @t259 () (not @t258)) % 0.53/0.76 (define @t260 () (tptp.hAPP @t6 @t27)) % 0.53/0.76 (define @t261 () (tptp.c_in @t260 (tptp.c_Set_Oimage @t6 @t165 @t4 @t3) @t3)) % 0.53/0.76 (define @t262 () (tptp.c_Fun_Oinj__on @t6 @t163 @t4 @t3)) % 0.53/0.76 (define @t263 () (@list @t6 @t27 @t5 @t4 @t3)) % 0.53/0.76 (define @t264 () (not @t262)) % 0.53/0.76 (define @t265 () (tptp.c_HOL_Oord__class_Oless @t54 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t266 () (not @t265)) % 0.53/0.76 (define @t267 () (tptp.c_HOL_Oord__class_Oless @t54 @t171 tptp.tc_nat)) % 0.53/0.76 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t122 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t269 () (@var "V_j" $$unsorted)) % 0.53/0.76 (define @t270 () (@var "V_i" $$unsorted)) % 0.53/0.76 (define @t271 () (not (tptp.c_HOL_Oord__class_Oless @t270 @t269 tptp.tc_nat))) % 0.53/0.76 (define @t272 () (not (tptp.c_HOL_Oord__class_Oless @t269 @t138 tptp.tc_nat))) % 0.53/0.76 (define @t273 () (tptp.c_Suc @t270)) % 0.53/0.76 (define @t274 () (@list @t270 @t138 @t269)) % 0.53/0.76 (define @t275 () (tptp.c_HOL_Oord__class_Oless @t2 @t170 tptp.tc_nat)) % 0.53/0.76 (define @t276 () (@var "V_nat_H" $$unsorted)) % 0.53/0.76 (define @t277 () (tptp.c_Suc @t276)) % 0.53/0.76 (define @t278 () (@list @t276)) % 0.53/0.76 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t58 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t58 @t122 tptp.tc_nat)) % 0.53/0.76 (define @t281 () (not @t280)) % 0.53/0.76 (define @t282 () (= @t58 @t54)) % 0.53/0.76 (define @t283 () (not @t267)) % 0.53/0.76 (define @t284 () (tptp.c_Suc @t59)) % 0.53/0.76 (define @t285 () (tptp.c_HOL_Oplus__class_Oplus @t122 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t286 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t171 tptp.tc_nat)) % 0.53/0.76 (define @t287 () (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_nat)) % 0.53/0.76 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t122 @t171 tptp.tc_nat)) % 0.53/0.76 (define @t289 () (tptp.c_Set_Oimage @t6 @t5 @t4 @t4)) % 0.53/0.76 (define @t290 () (tptp.c_Fun_Oinj__on @t6 @t5 @t4 @t4)) % 0.53/0.76 (define @t291 () (@list @t6 @t5 @t4)) % 0.53/0.76 (define @t292 () (@var "V_D" $$unsorted)) % 0.53/0.76 (define @t293 () (@var "V_C" $$unsorted)) % 0.53/0.76 (define @t294 () (= @t64 @t67)) % 0.53/0.76 (define @t295 () (tptp.c_Set_Oinsert @t64 @t26 @t4)) % 0.53/0.76 (define @t296 () (not (= (tptp.c_Set_Oinsert @t27 @t295 @t4) (tptp.c_Set_Oinsert @t20 (tptp.c_Set_Oinsert @t67 @t26 @t4) @t4)))) % 0.53/0.76 (define @t297 () (@list @t27 @t64 @t4 @t20 @t67)) % 0.53/0.76 (define @t298 () (= @t27 @t67)) % 0.53/0.76 (define @t299 () (= @t27 @t20)) % 0.53/0.76 (define @t300 () (tptp.c_Set_Oinsert @t27 @t18 @t4)) % 0.53/0.76 (define @t301 () (@var "V_u" $$unsorted)) % 0.53/0.76 (define @t302 () (tptp.c_HOL_Oplus__class_Oplus @t2 (tptp.c_HOL_Oplus__class_Oplus @t12 @t41 @t4) @t4)) % 0.53/0.76 (define @t303 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t114 @t4)) % 0.53/0.76 (define @t304 () (tptp.c_HOL_Oplus__class_Oplus @t117 @t20 @t4)) % 0.53/0.76 (define @t305 () (= @t304 @t303)) % 0.53/0.76 (define @t306 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t116 @t4)) % 0.53/0.76 (define @t307 () (@list @t4 @t27 @t20 @t67)) % 0.53/0.76 (define @t308 () (@list @t54 @t58 @t138)) % 0.53/0.76 (define @t309 () (tptp.c_HOL_Oplus__class_Oplus @t12 @t41 tptp.tc_nat)) % 0.53/0.76 (define @t310 () (= (tptp.c_HOL_Oplus__class_Oplus @t47 @t47 @t4) @t47)) % 0.53/0.76 (define @t311 () (not (tptp.c_lessequals @t47 @t47 @t4))) % 0.53/0.76 (define @t312 () (not @t98)) % 0.53/0.76 (define @t313 () (tptp.c_lessequals @t47 @t50 @t4)) % 0.53/0.76 (define @t314 () (tptp.c_Divides_Odiv__class_Omod @t27 @t64 @t4)) % 0.53/0.76 (define @t315 () (tptp.c_HOL_Oplus__class_Oplus @t109 @t55 tptp.tc_nat)) % 0.53/0.76 (define @t316 () (not (tptp.c_lessequals @t64 @t20 @t4))) % 0.53/0.76 (define @t317 () (@list @t270 @t54)) % 0.53/0.76 (define @t318 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t2 tptp.tc_nat)) % 0.53/0.76 (define @t319 () (@list @t54 @t2)) % 0.53/0.76 (define @t320 () (tptp.c_HOL_Ominus__class_Ominus @t5 @t300 @t17)) % 0.53/0.76 (define @t321 () (@list @t5 @t27 @t18 @t4)) % 0.53/0.76 (define @t322 () (tptp.c_lessequals @t64 @t70 @t4)) % 0.53/0.76 (define @t323 () (tptp.c_HOL_Oord__class_Oless @t2 @t12 tptp.tc_nat)) % 0.53/0.76 (define @t324 () (not @t323)) % 0.53/0.76 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t2 @t309 tptp.tc_nat)) % 0.53/0.76 (define @t326 () (tptp.c_HOL_Oplus__class_Oplus @t270 @t269 tptp.tc_nat)) % 0.53/0.76 (define @t327 () (tptp.c_HOL_Oplus__class_Oplus @t269 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t328 () (@list @t270 @t269 @t54)) % 0.53/0.76 (define @t329 () (tptp.c_HOL_Oplus__class_Oplus @t54 @t269 tptp.tc_nat)) % 0.53/0.76 (define @t330 () (@list @t270 @t54 @t269)) % 0.53/0.76 (define @t331 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 (tptp.c_Divides_Odiv__class_Omod @t54 @t58 @t4) @t4)) % 0.53/0.76 (define @t332 () (not @t331)) % 0.53/0.76 (define @t333 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t58 @t4))) % 0.53/0.76 (define @t334 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t54 @t4)) % 0.53/0.76 (define @t335 () (@list @t4 @t138 @t54 @t58)) % 0.53/0.76 (define @t336 () (not @t334)) % 0.53/0.76 (define @t337 () (@var "V_l" $$unsorted)) % 0.53/0.76 (define @t338 () (not (tptp.c_HOL_Oord__class_Oless @t138 @t337 tptp.tc_nat))) % 0.53/0.76 (define @t339 () (@list @t4 @t54 @t58)) % 0.53/0.76 (define @t340 () (not (tptp.c_lessequals @t47 @t2 @t4))) % 0.53/0.76 (define @t341 () (not (tptp.c_lessequals @t47 @t12 @t4))) % 0.53/0.76 (define @t342 () (not (= @t135 @t47))) % 0.53/0.76 (define @t343 () (not (= @t59 @t55))) % 0.53/0.76 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t50 @t47 @t4)) % 0.53/0.76 (define @t345 () (not @t344)) % 0.53/0.76 (define @t346 () (not (tptp.class_Ring__and__Field_Oordered__idom @t4))) % 0.53/0.76 (define @t347 () (tptp.c_lessequals @t27 @t47 @t4)) % 0.53/0.76 (define @t348 () (not @t347)) % 0.53/0.76 (define @t349 () (not (tptp.c_lessequals @t64 @t47 @t4))) % 0.53/0.76 (define @t350 () (tptp.c_HOL_Ominus__class_Ominus @t54 @t147 tptp.tc_nat)) % 0.53/0.76 (define @t351 () (tptp.c_lessequals @t5 @t293 @t17)) % 0.53/0.76 (define @t352 () (not @t351)) % 0.53/0.76 (define @t353 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t142 tptp.tc_nat)) % 0.53/0.76 (define @t354 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t355 () (@list @t138 @t58)) % 0.53/0.76 (define @t356 () (not @t354)) % 0.53/0.76 (define @t357 () (tptp.c_Set_Oinsert @t64 @t18 @t4)) % 0.53/0.76 (define @t358 () (tptp.c_lessequals @t254 @t18 @t17)) % 0.53/0.76 (define @t359 () (not @t358)) % 0.53/0.76 (define @t360 () (@list @t5 @t18 @t4 @t2)) % 0.53/0.76 (define @t361 () (= @t105 @t55)) % 0.53/0.76 (define @t362 () (tptp.c_lessequals @t54 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t363 () (not @t362)) % 0.53/0.76 (define @t364 () (tptp.c_lessequals @t140 @t139 tptp.tc_nat)) % 0.53/0.76 (define @t365 () (not (tptp.c_lessequals @t270 @t269 tptp.tc_nat))) % 0.53/0.76 (define @t366 () (tptp.c_HOL_Oplus__class_Oplus @t269 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t367 () (tptp.c_HOL_Oplus__class_Oplus @t270 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t368 () (tptp.c_lessequals @t2 @t12 tptp.tc_nat)) % 0.53/0.76 (define @t369 () (@list @t2 @t12)) % 0.53/0.76 (define @t370 () (tptp.c_HOL_Oplus__class_Oplus @t269 @t337 tptp.tc_nat)) % 0.53/0.76 (define @t371 () (@list @t270 @t138 @t269 @t337)) % 0.53/0.76 (define @t372 () (not (tptp.c_lessequals @t143 @t58 tptp.tc_nat))) % 0.53/0.76 (define @t373 () (tptp.c_lessequals @t138 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t374 () (@list @t138 @t58 @t54)) % 0.53/0.76 (define @t375 () (tptp.c_lessequals @t2 @t309 tptp.tc_nat)) % 0.53/0.76 (define @t376 () (@list @t58 @t270)) % 0.53/0.76 (define @t377 () (@list @t2 @t5 @t3 @t6 @t4)) % 0.53/0.76 (define @t378 () (tptp.c_Set_Oimage @t6 @t18 @t4 @t3)) % 0.53/0.76 (define @t379 () (tptp.c_Set_Oimage @t6 @t5 @t4 @t3)) % 0.53/0.76 (define @t380 () (@list @t6 @t5 @t4 @t3 @t18)) % 0.53/0.76 (define @t381 () (tptp.c_Orderings_Obot__class_Obot @t172)) % 0.53/0.76 (define @t382 () (= @t5 @t381)) % 0.53/0.76 (define @t383 () (tptp.c_Set_Oimage @t6 @t381 @t3 @t4)) % 0.53/0.76 (define @t384 () (tptp.c_HOL_Ominus__class_Ominus @t54 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t385 () (= @t384 @t55)) % 0.53/0.76 (define @t386 () (not @t385)) % 0.53/0.76 (define @t387 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t388 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t389 () (not @t388)) % 0.53/0.76 (define @t390 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t138 @t384 tptp.tc_nat)) % 0.53/0.76 (define @t391 () (tptp.c_HOL_Ominus__class_Ominus @t337 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t392 () (tptp.c_HOL_Ominus__class_Ominus @t337 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t393 () (@list @t337 @t58 @t54)) % 0.53/0.76 (define @t394 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t270 @t269 tptp.tc_nat) @t138 tptp.tc_nat)) % 0.53/0.76 (define @t395 () (@list @t270 @t269 @t138)) % 0.53/0.76 (define @t396 () (tptp.c_Finite__Set_Ocard @t94 @t4)) % 0.53/0.76 (define @t397 () (@list @t5 @t2 @t4)) % 0.53/0.76 (define @t398 () (not (tptp.c_lessequals @t379 @t18 @t172))) % 0.53/0.76 (define @t399 () (tptp.c_Finite__Set_Ofinite @t18 @t3)) % 0.53/0.76 (define @t400 () (not @t399)) % 0.53/0.76 (define @t401 () (tptp.c_Finite__Set_Ocard @t18 @t3)) % 0.53/0.76 (define @t402 () (not (tptp.c_lessequals @t18 @t5 @t17))) % 0.53/0.76 (define @t403 () (tptp.c_Finite__Set_Ocard @t18 @t4)) % 0.53/0.76 (define @t404 () (tptp.c_Finite__Set_Ocard @t19 @t4)) % 0.53/0.76 (define @t405 () (tptp.c_lessequals @t241 @t47 @t4)) % 0.53/0.76 (define @t406 () (not @t36)) % 0.53/0.76 (define @t407 () (@list @t2 @t5 @t4 @t18)) % 0.53/0.76 (define @t408 () (tptp.c_HOL_Ominus__class_Ominus @t254 @t18 @t17)) % 0.53/0.76 (define @t409 () (tptp.c_in @t2 @t1 @t4)) % 0.53/0.76 (define @t410 () (tptp.c_Set_Oinsert @t2 @t1 @t4)) % 0.53/0.76 (define @t411 () (@list @t2 @t1 @t4)) % 0.53/0.76 (define @t412 () (not (tptp.c_in @t2 @t5 @t3))) % 0.53/0.76 (define @t413 () (tptp.c_lessequals @t88 @t91 @t4)) % 0.53/0.76 (define @t414 () (tptp.c_Finite__Set_Ofinite @t320 @t4)) % 0.53/0.76 (define @t415 () (or (= @t396 @t105) @t9 @t104)) % 0.53/0.76 (define @t416 () (forall @t397 @t415)) % 0.53/0.76 (define @t417 () (tptp.c_lessequals @t171 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t418 () (not @t417)) % 0.53/0.76 (define @t419 () (tptp.c_lessequals @t122 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t420 () (not @t419)) % 0.53/0.76 (define @t421 () (tptp.c_lessequals @t2 @t2 tptp.tc_nat)) % 0.53/0.76 (define @t422 () (tptp.c_Suc @t396)) % 0.53/0.76 (define @t423 () (tptp.c_Finite__Set_Ocard @t254 @t4)) % 0.53/0.76 (define @t424 () (not (tptp.c_lessequals @t138 @t54 tptp.tc_nat))) % 0.53/0.76 (define @t425 () (not @t373)) % 0.53/0.76 (define @t426 () (tptp.c_HOL_Ominus__class_Ominus @t58 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t54 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t428 () (tptp.c_HOL_Oord__class_Oless @t427 @t426 tptp.tc_nat)) % 0.53/0.76 (define @t429 () (not (tptp.c_lessequals @t138 @t269 tptp.tc_nat))) % 0.53/0.76 (define @t430 () (tptp.c_HOL_Oplus__class_Oplus @t269 @t270 tptp.tc_nat)) % 0.53/0.76 (define @t431 () (tptp.c_HOL_Ominus__class_Ominus @t430 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t432 () (tptp.c_HOL_Ominus__class_Ominus @t269 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t433 () (tptp.c_HOL_Oplus__class_Oplus @t432 @t270 tptp.tc_nat)) % 0.53/0.76 (define @t434 () (@list @t269 @t138 @t270)) % 0.53/0.76 (define @t435 () (tptp.c_HOL_Ominus__class_Ominus @t326 @t138 tptp.tc_nat)) % 0.53/0.76 (define @t436 () (tptp.c_HOL_Oplus__class_Oplus @t270 @t432 tptp.tc_nat)) % 0.53/0.76 (define @t437 () (tptp.c_lessequals @t58 @t54 tptp.tc_nat)) % 0.53/0.76 (define @t438 () (not @t437)) % 0.53/0.76 (define @t439 () (= (tptp.c_HOL_Oplus__class_Oplus @t58 @t384 tptp.tc_nat) @t54)) % 0.53/0.76 (define @t440 () (@list @t270 @t269)) % 0.53/0.76 (define @t441 () (tptp.c_HOL_Oplus__class_Oplus @t138 @t270 tptp.tc_nat)) % 0.53/0.76 (define @t442 () (= @t5 @t18)) % 0.53/0.76 (define @t443 () (not @t46)) % 0.53/0.76 (define @t444 () (@list @t12 @t2)) % 0.53/0.76 (define @t445 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t58 @t54 tptp.tc_nat))) % 0.53/0.76 (define @t446 () (tptp.hAPP @t30 @t58)) % 0.53/0.76 (define @t447 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t64 tptp.tc_nat))) % 0.53/0.76 (define @t448 () (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t64 @t27 tptp.tc_nat))) % 0.53/0.76 (define @t449 () (@list @t64 @t27)) % 0.53/0.76 (define @t450 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t58 @t147 tptp.tc_nat))) % 0.53/0.76 (define @t451 () (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t41 tptp.tc_nat)) % 0.53/0.76 (define @t452 () (@list @t2 @t41 @t12)) % 0.53/0.76 (define @t453 () (tptp.c_HOL_Oord__class_Oless @t241 @t47 @t4)) % 0.53/0.76 (define @t454 () (tptp.c_HOL_Oord__class_Oless @t88 @t91 @t4)) % 0.53/0.76 (define @t455 () (tptp.c_HOL_Oord__class_Oless @t47 @t91 @t4)) % 0.53/0.76 (define @t456 () (tptp.c_lessequals @t50 @t47 @t4)) % 0.53/0.76 (define @t457 () (= @t124 (tptp.c_Divides_Odiv__class_Omod @t384 @t58 tptp.tc_nat))) % 0.53/0.76 (define @t458 () (tptp.c_HOL_Oord__class_Oless @t270 @t432 tptp.tc_nat)) % 0.53/0.76 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t367 @t269 tptp.tc_nat)) % 0.53/0.76 (define @t460 () (tptp.c_HOL_Oord__class_Oless @t70 @t114 @t4)) % 0.53/0.76 (define @t461 () (tptp.c_HOL_Oord__class_Oless @t128 @t218 @t4)) % 0.53/0.76 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t140 @t139 tptp.tc_nat)) % 0.53/0.76 (define @t463 () (tptp.hBOOL @t446)) % 0.53/0.76 (define @t464 () (tptp.hBOOL (tptp.hAPP @t30 (tptp.c_Divides_Odiv__class_Omod @t58 @t55 tptp.tc_nat)))) % 0.53/0.76 (define @t465 () (@list @t30 @t58)) % 0.53/0.76 (define @t466 () (not (tptp.c_lessequals @t18 @t293 @t17))) % 0.53/0.76 (define @t467 () (@var "V_Q" $$unsorted)) % 0.53/0.76 (define @t468 () (not (tptp.c_lessequals @t30 @t467 @t17))) % 0.53/0.76 (define @t469 () (tptp.hBOOL (tptp.hAPP @t467 @t2))) % 0.53/0.76 (define @t470 () (@list @t467 @t2 @t30 @t4)) % 0.53/0.76 (define @t471 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t64 tptp.tc_nat))) % 0.53/0.76 (define @t472 () (tptp.c_HOL_Oord__class_Oless @t55 @t387 tptp.tc_nat)) % 0.53/0.76 (define @t473 () (not @t202)) % 0.53/0.76 (define @t474 () (@list @t269 @t270 @t138)) % 0.53/0.76 (define @t475 () (tptp.c_lessequals @t269 @t367 tptp.tc_nat)) % 0.53/0.76 (define @t476 () (tptp.c_lessequals @t432 @t270 tptp.tc_nat)) % 0.53/0.76 (define @t477 () (tptp.c_lessequals @t367 @t269 tptp.tc_nat)) % 0.53/0.76 (define @t478 () (tptp.c_lessequals @t270 @t432 tptp.tc_nat)) % 0.53/0.76 (define @t479 () (not @t390)) % 0.53/0.76 (define @t480 () (tptp.c_Finite__Set_Ocard @t379 @t3)) % 0.53/0.76 (define @t481 () (= @t480 @t105)) % 0.53/0.76 (define @t482 () (@list @t6 @t5 @t4 @t3)) % 0.53/0.76 (define @t483 () (tptp.c_in @t27 @t18 @t4)) % 0.53/0.76 (define @t484 () (tptp.c_ATP__Linkup_Osko__Nat__Xorder__class__Xlift__Suc__mono__le__1__1 @t6 @t4)) % 0.53/0.76 (define @t485 () (@var "V_n_H" $$unsorted)) % 0.53/0.76 (define @t486 () (tptp.c_Suc @t269)) % 0.53/0.76 (define @t487 () (tptp.c_Suc @t432)) % 0.53/0.76 (define @t488 () (tptp.c_Finite__Set_Ocard @t1 @t4)) % 0.53/0.76 (define @t489 () (tptp.c_lessequals @t171 @t122 tptp.tc_nat)) % 0.53/0.76 (define @t490 () (tptp.c_lessequals @t232 @t233 @t4)) % 0.53/0.76 (define @t491 () (tptp.c_in @t27 (tptp.c_Set_Oinsert @t64 @t5 @t4) @t4)) % 0.53/0.76 (define @t492 () (tptp.c_lessequals @t54 @t171 tptp.tc_nat)) % 0.53/0.76 (define @t493 () (@var "V_F" $$unsorted)) % 0.53/0.76 (define @t494 () (@var "V_h" $$unsorted)) % 0.53/0.76 (define @t495 () (tptp.c_HOL_Ominus__class_Ominus @t122 @t171 tptp.tc_nat)) % 0.53/0.76 (define @t496 () (forall @t61 (= @t495 @t384))) % 0.53/0.76 (define @t497 () (@var "V_nat" $$unsorted)) % 0.53/0.76 (define @t498 () (tptp.c_Finite__Set_Ofinite @t163 @t4)) % 0.53/0.76 (define @t499 () (tptp.c_HOL_Ominus__class_Ominus @t122 @t58 tptp.tc_nat)) % 0.53/0.76 (define @t500 () (tptp.c_Set_Oinsert @t12 @t5 @t4)) % 0.53/0.76 (define @t501 () (tptp.hBOOL (tptp.hAPP @t500 @t2))) % 0.53/0.76 (define @t502 () (tptp.hBOOL (tptp.hAPP @t5 @t2))) % 0.53/0.76 (define @t503 () (@var "V_S" $$unsorted)) % 0.53/0.76 (define @t504 () (tptp.hBOOL (tptp.hAPP @t503 @t2))) % 0.53/0.76 (define @t505 () (tptp.c_in @t2 @t503 @t4)) % 0.53/0.76 (define @t506 () (tptp.c_lessequals @t427 @t426 tptp.tc_nat)) % 0.53/0.76 (define @t507 () (@list @t6 @t2 @t5 @t4 @t3)) % 0.53/0.76 (define @t508 () (@var "T_aa" $$unsorted)) % 0.53/0.76 (define @t509 () (tptp.c_in @t11 @t174 @t4)) % 0.53/0.76 (define @t510 () (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oimage tptp.v_mgt__call tptp.v_U tptp.tc_Com_Opname tptp.t_a) tptp.t_a)) % 0.53/0.76 (define @t511 () (tptp.c_Suc tptp.v_na)) % 0.53/0.76 (define @t512 () (tptp.c_lessequals @t511 @t510 tptp.tc_nat)) % 0.53/0.76 (define @t513 () (tptp.c_HOL_Ominus__class_Ominus @t510 @t511 tptp.tc_nat)) % 0.53/0.76 (define @t514 () (tptp.c_Finite__Set_Ocard tptp.v_G tptp.t_a)) % 0.53/0.76 (define @t515 () (= @t514 @t513)) % 0.53/0.76 (define @t516 () (tptp.hAPP tptp.v_mgt__call tptp.v_pn)) % 0.53/0.76 (define @t517 () (tptp.c_in @t516 tptp.v_G tptp.t_a)) % 0.53/0.76 (define @t518 () (tptp.c_Finite__Set_Ofinite tptp.v_G tptp.t_a)) % 0.53/0.76 (define @t519 () (tptp.c_HOL_Ominus__class_Ominus @t510 tptp.v_na tptp.tc_nat)) % 0.53/0.76 (define @t520 () (tptp.c_Finite__Set_Ocard (tptp.c_Set_Oinsert @t516 tptp.v_G tptp.t_a) tptp.t_a)) % 0.53/0.76 (define @t521 () (= @t520 @t519)) % 0.53/0.76 (define @t522 () (not @t521)) % 0.53/0.76 (define @t523 () (@var "T_2" $$unsorted)) % 0.53/0.76 (define @t524 () (@var "T_1" $$unsorted)) % 0.53/0.76 (define @t525 () (tptp.tc_fun @t523 @t524)) % 0.53/0.76 (define @t526 () (@list @t523 @t524)) % 0.53/0.76 (define @t527 () (@var "V_Y" $$unsorted)) % 0.53/0.76 (define @t528 () (@var "V_X" $$unsorted)) % 0.53/0.76 (define @t529 () (not @t518)) % 0.53/0.76 (define @t530 () (tptp.tc_fun tptp.t_a tptp.tc_bool)) % 0.53/0.76 (define @t531 () (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus tptp.v_G (tptp.c_Set_Oinsert @t516 (tptp.c_Orderings_Obot__class_Obot @t530) tptp.t_a) @t530) tptp.t_a)) % 0.53/0.76 (define @t532 () (= @t514 @t531)) % 0.53/0.76 (define @t533 () (or @t532 @t517 @t529)) % 0.53/0.76 (define @t534 () (= @t520 (tptp.c_Suc @t531))) % 0.53/0.76 (define @t535 () (or @t534 @t529)) % 0.53/0.76 (define @t536 () (@list false false)) % 0.53/0.76 (define @t537 () (not @t512)) % 0.53/0.76 (define @t538 () (tptp.c_Suc @t513)) % 0.53/0.76 (define @t539 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Suc @t510) @t511 tptp.tc_nat)) % 0.53/0.76 (define @t540 () (= @t539 @t538)) % 0.53/0.76 (define @t541 () (or @t540 @t537)) % 0.53/0.76 (define @t542 () (= @t519 @t539)) % 0.53/0.76 (define @t543 () (not @t542)) % 0.53/0.76 (define @t544 () (not @t540)) % 0.53/0.76 (define @t545 () (not @t534)) % 0.53/0.76 (define @t546 () (not @t532)) % 0.53/0.76 (define @t547 () (not @t515)) % 0.53/0.76 (define @t548 () (= @t539 @t519)) % 0.53/0.76 (define @t549 () (not @t548)) % 0.53/0.76 (define @t550 () (tptp.c_Suc @t514)) % 0.53/0.76 (define @t551 () (and @t543 @t542)) % 0.53/0.76 (assume @p1 (forall (@list @t6 @t2 @t1 @t5 @t4 @t3) (or (not (= @t11 (tptp.hAPP @t6 @t1))) (not (tptp.c_in @t1 @t5 @t4)) @t10 @t8 (= @t2 @t1)))) % 0.53/0.76 (assume @p2 (forall @t16 (or @t15 @t14 @t10 @t8 @t13))) % 0.53/0.76 (assume @p3 (forall @t16 (or @t15 @t14 @t10 @t13 @t8))) % 0.53/0.76 (assume @p4 (forall (@list @t20 @t5 @t4 @t18) (or @t23 @t22))) % 0.53/0.76 (assume @p5 (forall @t25 (or (not @t24) @t22))) % 0.53/0.76 (assume @p6 (forall (@list @t27 @t4) (not (tptp.c_in @t27 @t26 @t4)))) % 0.53/0.76 (assume @p7 (forall (@list @t20 @t4) (not (tptp.c_in @t20 @t26 @t4)))) % 0.53/0.76 (assume @p8 (forall @t32 (or @t31 @t29))) % 0.53/0.76 (assume @p9 (forall @t33 @t29)) % 0.53/0.76 (assume @p10 (forall @t37 (or @t36 @t10 @t35))) % 0.53/0.76 (assume @p11 (forall @t25 (or @t24 @t38 @t35))) % 0.53/0.76 (assume @p12 (forall @t37 (or @t36 @t35 @t10))) % 0.53/0.76 (assume @p13 (forall (@list @t39 @t18 @t4 @t5) (or (tptp.c_in @t39 @t18 @t4) (not (tptp.c_in @t39 @t5 @t4)) @t35))) % 0.53/0.76 (assume @p14 (forall @t45 (or @t44 @t43 @t42 @t40))) % 0.53/0.76 (assume @p15 (forall @t45 (or @t44 @t42 @t46 @t40))) % 0.53/0.76 (assume @p16 (forall @t53 (or @t52 @t51 @t49))) % 0.53/0.76 (assume @p17 (forall @t53 (or @t52 @t48 (not @t51)))) % 0.53/0.76 (assume @p18 (forall @t61 (or @t60 @t57))) % 0.53/0.76 (assume @p19 (forall @t61 (or @t60 @t63))) % 0.53/0.76 (assume @p20 (forall @t73 (or @t72 @t71 @t68 @t66))) % 0.53/0.76 (assume @p21 (forall @t73 (or @t72 @t71 @t76 @t75))) % 0.53/0.76 (assume @p22 (forall @t53 (or @t78 @t77))) % 0.53/0.76 (assume @p23 (forall @t53 (or @t78 @t79))) % 0.53/0.76 (assume @p24 (forall @t53 (or @t80 @t79))) % 0.53/0.76 (assume @p25 (forall @t53 (or @t80 @t77))) % 0.53/0.76 (assume @p26 (forall @t53 (or @t81 @t79))) % 0.53/0.76 (assume @p27 (forall @t84 (or @t83 @t82 (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t47 @t4))))) % 0.53/0.76 (assume @p28 (forall @t85 (= (tptp.c_HOL_Oplus__class_Oplus @t54 @t55 tptp.tc_nat) @t54))) % 0.53/0.76 (assume @p29 (forall @t86 (= (tptp.c_HOL_Oplus__class_Oplus @t55 @t58 tptp.tc_nat) @t58))) % 0.53/0.76 (assume @p30 (forall @t87 (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t55 tptp.tc_nat)))) % 0.53/0.76 (assume @p31 (forall @t53 (or @t81 @t77))) % 0.53/0.76 (assume @p32 (forall @t84 (or @t78 (= (tptp.c_HOL_Oplus__class_Oplus @t47 @t2 @t4) @t2)))) % 0.53/0.76 (assume @p33 (forall @t90 (or @t89 (tptp.c_lessequals @t47 @t88 @t4)))) % 0.53/0.76 (assume @p34 (forall @t92 (or @t89 (tptp.c_lessequals @t47 @t91 @t4)))) % 0.53/0.76 (assume @p35 (forall @t99 (or @t98 @t35 @t96))) % 0.53/0.76 (assume @p36 (forall @t101 (or @t89 (tptp.c_HOL_Oord__class_Oless @t47 (tptp.c_HOL_Oplus__class_Oplus @t100 @t100 @t4) @t4)))) % 0.53/0.76 (assume @p37 (forall @t107 (or @t106 @t104 @t102))) % 0.53/0.76 (assume @p38 (forall @t101 (= @t108 @t55))) % 0.53/0.76 (assume @p39 (forall @t101 (not (tptp.c_HOL_Oord__class_Oless @t55 @t108 tptp.tc_nat)))) % 0.53/0.76 (assume @p40 (forall @t85 (or @t110 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t54 @t109 tptp.tc_nat))))) % 0.53/0.76 (assume @p41 (forall @t115 (or @t78 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t114 @t4) (not @t113) @t112))) % 0.53/0.76 (assume @p42 (forall @t90 (or @t89 (not (tptp.c_HOL_Oord__class_Oless @t88 @t47 @t4))))) % 0.53/0.76 (assume @p43 (forall (@list @t4 @t27 @t64 @t20 @t67) (or @t78 (= (tptp.c_HOL_Oplus__class_Oplus @t117 @t116 @t4) (tptp.c_HOL_Oplus__class_Oplus @t70 @t69 @t4))))) % 0.53/0.76 (assume @p44 (forall @t61 (or @t119 @t118 @t110))) % 0.53/0.76 (assume @p45 (forall @t61 (or @t119 @t121 @t120))) % 0.53/0.76 (assume @p46 (forall @t61 (or (not @t126) (= @t123 @t55)))) % 0.53/0.76 (assume @p47 (forall @t131 (or @t130 (not (= @t129 @t128)) @t127))) % 0.53/0.76 (assume @p48 (forall @t115 (or @t130 @t132 @t127))) % 0.53/0.76 (assume @p49 (forall @t115 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t4)) @t132 @t127))) % 0.53/0.76 (assume @p50 (forall @t136 (or @t83 @t82 (not (= @t135 @t134)) @t133))) % 0.53/0.76 (assume @p51 (forall @t141 (or (not (= @t140 @t139)) @t137))) % 0.53/0.76 (assume @p52 (forall @t144 (or (not (= @t143 @t142)) @t137))) % 0.53/0.76 (assume @p53 (forall @t146 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t12 tptp.tc_nat) @t145)) @t133))) % 0.53/0.76 (assume @p54 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t147 @t147 tptp.tc_nat)) % 0.53/0.76 (assume @p55 (forall @t151 (or @t150 @t149 @t148 @t49))) % 0.53/0.76 (assume @p56 (forall @t151 (or @t150 @t149 @t154 @t153))) % 0.53/0.76 (assume @p57 (forall @t157 (or @t156 (not @t155) @t111))) % 0.53/0.76 (assume @p58 (forall @t157 (or @t156 @t155 @t112))) % 0.53/0.76 (assume @p59 (forall @t53 (or @t78 @t158 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t47 @t27 @t4))))) % 0.53/0.76 (assume @p60 (forall @t151 (or @t150 @t162 @t161 @t160))) % 0.53/0.76 (assume @p61 (forall @t167 (= @t166 @t163))) % 0.53/0.76 (assume @p62 (forall @t168 (tptp.c_lessequals @t19 @t5 @t17))) % 0.53/0.76 (assume @p63 (forall @t101 (or @t169 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t55 @t4) @t47)))) % 0.53/0.76 (assume @p64 (forall @t87 (tptp.c_HOL_Oord__class_Oless @t55 @t170 tptp.tc_nat))) % 0.53/0.76 (assume @p65 (forall @t86 (tptp.c_HOL_Oord__class_Oless @t55 @t171 tptp.tc_nat))) % 0.53/0.76 (assume @p66 (forall (@list @t6 @t4 @t3) (tptp.c_Fun_Oinj__on @t6 @t26 @t4 @t3))) % 0.53/0.76 (assume @p67 (forall (@list @t6 @t5 @t3 @t4 @t18) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t174 @t173 @t17) (tptp.c_Set_Oimage @t6 (tptp.c_HOL_Ominus__class_Ominus @t5 @t18 @t172) @t3 @t4) @t17))) % 0.53/0.76 (assume @p68 (forall @t90 (or @t169 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t122 @t4) (tptp.c_HOL_Oplus__class_Oplus @t100 @t88 @t4))))) % 0.53/0.76 (assume @p69 (forall @t53 (or @t175 (= (tptp.c_Finite__Set_Olinorder__class_OMax @t164 @t4) @t27)))) % 0.53/0.76 (assume @p70 (forall @t61 (or @t176 @t118 @t110))) % 0.53/0.76 (assume @p71 (forall @t61 (or @t176 @t121 @t120))) % 0.53/0.76 (assume @p72 (forall (@list @t4 @t178 @t177) (or @t175 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMax @t178 @t4) (tptp.c_Finite__Set_Olinorder__class_OMax @t177 @t4) @t4) @t181 @t180 @t179))) % 0.53/0.76 (assume @p73 (forall @t101 (or @t182 (not (= @t47 @t100))))) % 0.53/0.76 (assume @p74 (forall @t101 (or @t169 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t147 @t4) @t100)))) % 0.53/0.76 (assume @p75 (forall @t184 (= (tptp.c_HOL_Ominus__class_Ominus @t58 @t183 tptp.tc_nat) @t55))) % 0.53/0.76 (assume @p76 (forall @t131 (or @t187 @t81 @t186 @t185 @t153))) % 0.53/0.76 (assume @p77 (= @t109 @t188)) % 0.53/0.76 (assume @p78 (forall @t115 (or @t156 (= @t191 @t190)))) % 0.53/0.76 (assume @p79 (forall @t115 (or @t156 (= @t191 @t193)))) % 0.53/0.76 (assume @p80 (forall @t45 (or @t44 @t43 @t42 @t46 @t40))) % 0.53/0.76 (assume @p81 (forall @t16 (or @t15 @t8 @t13 @t14 @t10))) % 0.53/0.76 (assume @p82 (forall @t32 (or @t194 @t29))) % 0.53/0.76 (assume @p83 (forall (@list @t20 @t5 @t18 @t4) (or @t21 @t24 @t38))) % 0.53/0.76 (assume @p84 (forall @t198 (or @t175 @t13 @t197 @t196))) % 0.53/0.76 (assume @p85 (forall @t198 (or @t175 @t13 @t196 @t197))) % 0.53/0.76 (assume @p86 (forall @t151 (or @t200 @t65 @t75 @t199))) % 0.53/0.76 (assume @p87 (forall @t151 (or @t200 @t65 @t199 @t75))) % 0.53/0.76 (assume @p88 (forall @t198 (or @t200 @t197 @t13 @t196))) % 0.53/0.76 (assume @p89 (forall @t198 (or @t200 @t13 @t197 @t196))) % 0.53/0.76 (assume @p90 (forall @t157 (or @t200 @t202 @t201 @t199))) % 0.53/0.76 (assume @p91 (forall @t157 (or @t200 @t202 @t199 @t201))) % 0.53/0.76 (assume @p92 (forall (@list @t4 @t27 @t64 @t67 @t20) (or @t203 (tptp.c_lessequals @t27 @t69 @t4) @t68 (not (tptp.c_lessequals @t27 @t114 @t4))))) % 0.53/0.76 (assume @p93 (forall @t208 (or @t207 @t206 @t205 @t204))) % 0.53/0.76 (assume @p94 (forall @t208 (or @t207 @t206 @t209 @t196))) % 0.53/0.76 (assume @p95 (forall @t214 (or @t200 @t213 @t212 @t211))) % 0.53/0.76 (assume @p96 (forall @t214 (or @t200 @t213 @t217 @t216))) % 0.53/0.76 (assume @p97 (forall @t221 (or @t220 @t219 @t75))) % 0.53/0.76 (assume @p98 (forall @t223 (or @t220 @t222 @t75))) % 0.53/0.76 (assume @p99 (forall @t115 (or @t187 @t74 (not @t219)))) % 0.53/0.76 (assume @p100 (forall @t221 (or @t187 @t219 @t75))) % 0.53/0.76 (assume @p101 (forall @t115 (or @t187 @t74 (not @t222)))) % 0.53/0.76 (assume @p102 (forall @t223 (or @t187 @t222 @t75))) % 0.53/0.76 (assume @p103 (forall @t198 (or @t207 @t195 @t204))) % 0.53/0.76 (assume @p104 (forall @t198 (or @t200 @t195 @t204))) % 0.53/0.76 (assume @p105 (forall @t198 (or @t207 @t197 @t210 @t196))) % 0.53/0.76 (assume @p106 (forall @t84 (or (not (tptp.class_Orderings_Obot @t4)) (tptp.c_lessequals (tptp.c_Orderings_Obot__class_Obot @t4) @t2 @t4)))) % 0.53/0.76 (assume @p107 (forall @t73 (or @t220 (tptp.c_lessequals @t70 @t69 @t4) @t68 @t75))) % 0.53/0.76 (assume @p108 (forall @t198 (or @t175 @t197 @t210))) % 0.53/0.76 (assume @p109 (forall @t84 (or @t175 (not @t226) @t225))) % 0.53/0.76 (assume @p110 (forall @t84 (or @t175 @t224 @t226))) % 0.53/0.76 (assume @p111 (forall @t198 (or @t175 @t204 @t211))) % 0.53/0.76 (assume @p112 (forall @t227 (or @t175 @t210 @t197))) % 0.53/0.76 (assume @p113 (forall @t198 (or @t175 @t196 @t216))) % 0.53/0.76 (assume @p114 (forall @t227 (or @t175 @t215 @t195))) % 0.53/0.76 (assume @p115 (forall @t227 (or @t207 @t211 @t204))) % 0.53/0.76 (assume @p116 (forall (@list @t3 @t6 @t2 @t228 @t4) (or (not (tptp.class_HOL_Oord @t3)) (tptp.c_lessequals @t11 (tptp.hAPP @t228 @t2) @t3) (not (tptp.c_lessequals @t6 @t228 (tptp.tc_fun @t4 @t3)))))) % 0.53/0.76 (assume @p117 (forall @t230 (or @t175 (tptp.c_in @t229 @t5 @t4) @t102 @t104))) % 0.53/0.76 (assume @p118 (forall @t230 (or @t175 (tptp.c_in @t231 @t5 @t4) @t102 @t104))) % 0.53/0.76 (assume @p119 (forall @t238 (or @t203 @t237 @t197 (not @t234)))) % 0.53/0.76 (assume @p120 (forall @t238 (or @t203 @t237 @t234 @t204))) % 0.53/0.76 (assume @p121 (forall @t246 (or @t245 @t244 @t243 (= @t242 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t240 @t239 @t4) @t20 @t4))))) % 0.53/0.76 (assume @p122 (forall @t136 (or (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t4)) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 (tptp.c_HOL_Ominus__class_Ominus @t12 @t41 @t4) @t4) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t41 @t4)) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t12 @t4))))) % 0.53/0.76 (assume @p123 (forall @t84 (or @t83 @t82 @t248))) % 0.53/0.76 (assume @p124 (forall @t53 (or @t249 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t27 @t4) @t47)))) % 0.53/0.76 (assume @p125 (forall @t53 (or @t249 (= (tptp.c_HOL_Ominus__class_Ominus @t27 @t47 @t4) @t27)))) % 0.53/0.76 (assume @p126 (forall @t84 (or @t249 @t248))) % 0.53/0.76 (assume @p127 (forall @t84 (or @t250 @t248))) % 0.53/0.76 (assume @p128 (forall @t151 (or @t249 (= (tptp.c_HOL_Oplus__class_Oplus @t241 @t64 @t4) @t27)))) % 0.53/0.76 (assume @p129 (forall @t115 (or @t245 (= @t242 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t192 @t64 @t4) @t20 @t4))))) % 0.53/0.76 (assume @p130 (forall @t115 (or @t245 (= @t242 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t27 @t189 @t4) @t20 @t4))))) % 0.53/0.76 (assume @p131 (forall @t198 (or @t83 @t82 (not (= @t236 @t47)) @t13))) % 0.53/0.76 (assume @p132 (forall @t151 (or @t249 @t251 @t199))) % 0.53/0.76 (assume @p133 (forall @t151 (or @t250 @t251 @t199))) % 0.53/0.76 (assume @p134 (forall @t115 (or @t245 (= @t242 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t192 @t189 @t4) @t20 @t4))))) % 0.53/0.76 (assume @p135 (forall @t151 (or @t249 (= (tptp.c_HOL_Ominus__class_Ominus @t117 @t64 @t4) @t27)))) % 0.53/0.76 (assume @p136 (forall @t167 (or (= @t166 @t5) @t253))) % 0.53/0.76 (assume @p137 (forall @t255 (or (= (tptp.c_HOL_Ominus__class_Ominus @t254 @t93 @t17) @t5) @t9))) % 0.53/0.76 (assume @p138 (forall @t257 (or @t103 @t35 @t256))) % 0.53/0.76 (assume @p139 (forall @t257 (or @t103 @t256 @t35))) % 0.53/0.76 (assume @p140 (forall @t101 (tptp.c_Finite__Set_Ofinite @t26 @t4))) % 0.53/0.76 (assume @p141 (forall @t168 (or @t258 @t104 @t256))) % 0.53/0.76 (assume @p142 (forall @t257 (or @t103 @t259 @t256))) % 0.53/0.76 (assume @p143 (forall @t168 (or @t258 @t104))) % 0.53/0.76 (assume @p144 (forall @t263 (or @t262 @t261 @t8))) % 0.53/0.76 (assume @p145 (forall @t263 (or (not @t261) @t264))) % 0.53/0.76 (assume @p146 (forall @t61 (or @t267 @t266))) % 0.53/0.76 (assume @p147 (forall @t61 (or @t265 (not @t268)))) % 0.53/0.76 (assume @p148 (forall @t61 (= @t123 (tptp.c_Divides_Odiv__class_Omod @t125 @t58 tptp.tc_nat)))) % 0.53/0.76 (assume @p149 (forall @t274 (or (tptp.c_HOL_Oord__class_Oless @t273 @t138 tptp.tc_nat) @t272 @t271))) % 0.53/0.76 (assume @p150 (forall @t87 @t275)) % 0.53/0.76 (assume @p151 (forall @t86 (tptp.c_HOL_Oord__class_Oless @t58 @t171 tptp.tc_nat))) % 0.53/0.76 (assume @p152 (forall @t85 (not (= @t122 @t55)))) % 0.53/0.76 (assume @p153 (forall @t278 (not (= @t277 @t55)))) % 0.53/0.76 (assume @p154 (forall @t184 (or @t282 @t281 @t279))) % 0.53/0.76 (assume @p155 (forall @t61 (or @t137 @t281 @t279))) % 0.53/0.76 (assume @p156 (forall @t61 (or @t137 @t265 @t283))) % 0.53/0.76 (assume @p157 (forall @t85 (not (= @t55 @t122)))) % 0.53/0.76 (assume @p158 (forall @t278 (not (= @t55 @t277)))) % 0.53/0.76 (assume @p159 (forall @t61 (= @t285 @t284))) % 0.53/0.76 (assume @p160 (forall @t61 (= @t286 @t284))) % 0.53/0.76 (assume @p161 (forall @t61 (or (= @t123 @t125) @t126))) % 0.53/0.76 (assume @p162 (forall @t61 (= @t285 @t286))) % 0.53/0.76 (assume @p163 (forall @t61 (or @t268 (= @t122 @t58) @t266))) % 0.53/0.76 (assume @p164 (forall @t87 (or @t287 @t275))) % 0.53/0.76 (assume @p165 (forall @t61 (or @t266 @t281))) % 0.53/0.76 (assume @p166 (forall @t184 (or @t280 @t265))) % 0.53/0.76 (assume @p167 (forall (@list @t2 @t58) (or (tptp.c_HOL_Oord__class_Oless @t170 @t171 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t2 @t58 tptp.tc_nat))))) % 0.53/0.76 (assume @p168 (forall @t61 (or @t265 (not @t288)))) % 0.53/0.76 (assume @p169 (forall @t61 (or @t288 @t266))) % 0.53/0.76 (assume @p170 (forall @t291 (or (= @t289 @t5) (not @t290) (not (tptp.c_lessequals @t289 @t5 @t17)) @t104))) % 0.53/0.76 (assume @p171 (forall @t291 (or @t290 (not (tptp.c_lessequals @t5 @t289 @t17)) @t104))) % 0.53/0.76 (assume @p172 (forall (@list @t27 @t293 @t4 @t292) (or (tptp.c_lessequals (tptp.c_Set_Oinsert @t27 @t293 @t4) (tptp.c_Set_Oinsert @t27 @t292 @t4) @t17) (not (tptp.c_lessequals @t293 @t292 @t17))))) % 0.53/0.76 (assume @p173 (forall (@list @t4 @t27 @t5) (not (= @t26 @t163)))) % 0.53/0.76 (assume @p174 (forall @t297 (or @t296 @t127 @t294))) % 0.53/0.76 (assume @p175 (forall @t297 (or @t296 @t298 @t294))) % 0.53/0.76 (assume @p176 (forall @t297 (or @t296 @t127 @t299))) % 0.53/0.76 (assume @p177 (forall @t297 (or @t296 @t298 @t299))) % 0.53/0.76 (assume @p178 (forall (@list @t18 @t27 @t4) (tptp.c_lessequals @t18 @t300 @t17))) % 0.53/0.76 (assume @p179 (forall @t167 (not (= @t163 @t26)))) % 0.53/0.76 (assume @p180 (forall @t61 (or (tptp.c_HOL_Oord__class_Oless @t124 @t58 tptp.tc_nat) @t63))) % 0.53/0.76 (assume @p181 (forall @t168 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 @t17) @t19))) % 0.53/0.76 (assume @p182 (forall (@list @t4 @t2 @t12 @t41 @t301) (or @t250 (not (= @t302 (tptp.c_HOL_Oplus__class_Oplus @t12 @t301 @t4))) (= @t134 @t301)))) % 0.53/0.76 (assume @p183 (forall (@list @t138) (tptp.c_Ring__and__Field_Odvd__class_Odvd @t109 @t138 tptp.tc_nat))) % 0.53/0.76 (assume @p184 (forall @t86 (not (tptp.c_HOL_Oord__class_Oless @t58 @t55 tptp.tc_nat)))) % 0.53/0.76 (assume @p185 (forall @t85 (not (tptp.c_HOL_Oord__class_Oless @t54 @t55 tptp.tc_nat)))) % 0.53/0.76 (assume @p186 (forall @t184 (or @t62 @t56 (not @t60)))) % 0.53/0.76 (assume @p187 (forall @t115 (or @t78 @t305))) % 0.53/0.76 (assume @p188 (forall @t307 (or @t78 (= @t306 (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Oplus__class_Oplus @t27 @t67 @t4) @t4))))) % 0.53/0.76 (assume @p189 (forall @t115 (or @t78 (= @t304 (tptp.c_HOL_Oplus__class_Oplus @t70 @t64 @t4))))) % 0.53/0.76 (assume @p190 (forall @t307 (or @t78 (= @t306 (tptp.c_HOL_Oplus__class_Oplus @t70 @t67 @t4))))) % 0.53/0.76 (assume @p191 (forall @t115 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t4)) @t305))) % 0.53/0.76 (assume @p192 (forall @t115 (or @t81 (= @t303 (tptp.c_HOL_Oplus__class_Oplus @t64 @t70 @t4))))) % 0.53/0.76 (assume @p193 (forall @t115 (or @t81 @t305))) % 0.53/0.76 (assume @p194 (forall @t308 (= (tptp.c_HOL_Oplus__class_Oplus @t59 @t138 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t54 @t142 tptp.tc_nat)))) % 0.53/0.76 (assume @p195 (forall @t146 (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t309 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t12 @t145 tptp.tc_nat)))) % 0.53/0.76 (assume @p196 (forall @t136 (or @t250 (= @t302 (tptp.c_HOL_Oplus__class_Oplus @t12 @t134 @t4))))) % 0.53/0.76 (assume @p197 (forall @t136 (or @t78 (= @t302 (tptp.c_HOL_Oplus__class_Oplus @t135 @t41 @t4))))) % 0.53/0.76 (assume @p198 (forall @t214 (or @t200 @t213 @t212 @t216))) % 0.53/0.76 (assume @p199 (forall @t208 (or @t207 @t206 @t209 @t204))) % 0.53/0.76 (assume @p200 (forall @t151 (or @t150 (tptp.c_lessequals @t47 @t117 @t4) @t148 @t153))) % 0.53/0.76 (assume @p201 (forall @t115 (or @t156 (= @t191 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t192 @t189 @t4) @t20 @t4))))) % 0.53/0.76 (assume @p202 (forall @t101 (or @t150 @t311 @t311 @t310))) % 0.53/0.76 (assume @p203 (= (tptp.c_HOL_Oplus__class_Oplus @t55 @t55 tptp.tc_nat) @t55)) % 0.53/0.76 (assume @p204 (forall @t101 (or @t52 @t310))) % 0.53/0.76 (assume @p205 (forall (@list @t5 @t2 @t4 @t18) (or @t95 @t10 @t312))) % 0.53/0.76 (assume @p206 (forall @t99 (or @t98 @t10 @t96))) % 0.53/0.76 (assume @p207 (forall @t53 (or @t52 @t313 @t153))) % 0.53/0.76 (assume @p208 (forall @t53 (or @t52 @t152 (not @t313)))) % 0.53/0.76 (assume @p209 (forall @t86 (or @t120 (not (tptp.c_HOL_Oord__class_Oless @t58 @t109 tptp.tc_nat))))) % 0.53/0.76 (assume @p210 (forall @t53 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t47 @t27 @t4) @t47)))) % 0.53/0.76 (assume @p211 (forall @t86 (= @t171 (tptp.c_HOL_Oplus__class_Oplus @t58 @t147 tptp.tc_nat)))) % 0.53/0.76 (assume @p212 (forall @t86 (= @t171 (tptp.c_HOL_Oplus__class_Oplus @t147 @t58 tptp.tc_nat)))) % 0.53/0.76 (assume @p213 (forall @t151 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t314 @t64 @t4) @t314)))) % 0.53/0.76 (assume @p214 (= @t315 @t109)) % 0.53/0.76 (assume @p215 (forall @t131 (or @t187 @t81 @t186 @t316 @t49))) % 0.53/0.77 (assume @p216 (forall (@list @t6 @t5 @t18 @t4 @t3) (or (tptp.c_Fun_Oinj__on @t6 @t19 @t4 @t3) @t8))) % 0.53/0.77 (assume @p217 (forall @t317 (tptp.c_HOL_Oord__class_Oless @t270 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t270 @t54 tptp.tc_nat)) tptp.tc_nat))) % 0.53/0.77 (assume @p218 (forall @t317 (tptp.c_HOL_Oord__class_Oless @t270 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t54 @t270 tptp.tc_nat)) tptp.tc_nat))) % 0.53/0.77 (assume @p219 (forall @t319 (tptp.c_HOL_Oord__class_Oless @t54 (tptp.c_Suc @t318) tptp.tc_nat))) % 0.53/0.77 (assume @p220 (forall @t230 (tptp.c_lessequals @t26 @t5 @t17))) % 0.53/0.77 (assume @p221 (forall @t321 (= @t320 (tptp.c_HOL_Ominus__class_Ominus @t19 @t164 @t17)))) % 0.53/0.77 (assume @p222 (forall @t321 (= @t320 (tptp.c_HOL_Ominus__class_Ominus @t165 @t18 @t17)))) % 0.53/0.77 (assume @p223 (forall @t131 (or @t187 @t81 @t322 @t316 @t153))) % 0.53/0.77 (assume @p224 (forall @t131 (or @t187 @t81 @t322 @t201 (not (tptp.c_lessequals @t47 @t20 @t4))))) % 0.53/0.77 (assume @p225 (forall @t146 (or @t325 @t324))) % 0.53/0.77 (assume @p226 (forall @t146 (or @t325 (not (tptp.c_HOL_Oord__class_Oless @t2 @t41 tptp.tc_nat))))) % 0.53/0.77 (assume @p227 (forall @t274 (or (tptp.c_HOL_Oord__class_Oless @t270 @t138 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t326 @t138 tptp.tc_nat))))) % 0.53/0.77 (assume @p228 (forall @t328 (or (tptp.c_HOL_Oord__class_Oless @t270 @t327 tptp.tc_nat) @t271))) % 0.53/0.77 (assume @p229 (forall @t330 (or (tptp.c_HOL_Oord__class_Oless @t270 @t329 tptp.tc_nat) @t271))) % 0.53/0.77 (assume @p230 (forall @t335 (or @t156 @t334 @t333 @t332))) % 0.53/0.77 (assume @p231 (forall @t335 (or @t156 @t331 @t336 @t333))) % 0.53/0.77 (assume @p232 (forall @t335 (or @t156 @t334 @t332 @t333))) % 0.53/0.77 (assume @p233 (forall @t335 (or @t156 @t331 @t333 @t336))) % 0.53/0.77 (assume @p234 (forall @t53 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t47 @t4) @t27)))) % 0.53/0.77 (assume @p235 (forall @t53 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t27 @t4) @t47)))) % 0.53/0.77 (assume @p236 (forall (@list @t4 @t27 @t20) (or @t78 (= @t70 @t128)))) % 0.53/0.77 (assume @p237 (forall @t151 (or @t81 (= @t117 @t129)))) % 0.53/0.77 (assume @p238 (forall @t61 (= @t59 @t183))) % 0.53/0.77 (assume @p239 (forall (@list @t54 @t337 @t138 @t58) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t54 @t337 tptp.tc_nat) @t139)) @t338 @t265))) % 0.53/0.77 (assume @p240 (forall @t198 (or @t78 (= @t135 (tptp.c_HOL_Oplus__class_Oplus @t12 @t2 @t4))))) % 0.53/0.77 (assume @p241 (forall @t61 (or (tptp.c_lessequals @t124 @t58 tptp.tc_nat) @t63))) % 0.53/0.77 (assume @p242 (forall @t339 (or (not (tptp.class_Nat_Osemiring__char__0 @t4)) (not (= @t88 @t91)) @t137))) % 0.53/0.77 (assume @p243 (forall (@list @t4 @t2 @t27) (or @t83 @t82 (not (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t27 @t4))) @t158))) % 0.53/0.77 (assume @p244 (forall @t61 (or (not (= @t59 @t54)) @t120))) % 0.53/0.77 (assume @p245 (forall (@list @t2 @t27) (or (not (= @t2 (tptp.c_HOL_Oplus__class_Oplus @t2 @t27 tptp.tc_nat))) (= @t27 @t55)))) % 0.53/0.77 (assume @p246 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t26 @t17) @t5))) % 0.53/0.77 (assume @p247 (forall @t107 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t5 @t17) @t26))) % 0.53/0.77 (assume @p248 (forall @t198 (or @t150 @t342 @t341 @t340 (= @t12 @t47)))) % 0.53/0.77 (assume @p249 (forall @t198 (or @t150 @t342 @t341 @t340 (= @t2 @t47)))) % 0.53/0.77 (assume @p250 (forall @t61 (or @t343 @t118))) % 0.53/0.77 (assume @p251 (forall @t61 (or @t343 @t120))) % 0.53/0.77 (assume @p252 (forall @t53 (or @t52 (not (= @t50 @t47)) @t158))) % 0.53/0.77 (assume @p253 (= @t147 @t109)) % 0.53/0.77 (assume @p254 (forall @t246 (or @t156 @t244 @t243 (= @t191 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t240 @t239 @t4) @t20 @t4))))) % 0.53/0.77 (assume @p255 (tptp.c_HOL_Oord__class_Oless @t55 @t109 tptp.tc_nat)) % 0.53/0.77 (assume @p256 (forall @t53 (or @t52 @t344 @t160))) % 0.53/0.77 (assume @p257 (forall @t53 (or @t52 @t159 @t345))) % 0.53/0.77 (assume @p258 (forall @t53 (or @t346 @t159 @t345))) % 0.53/0.77 (assume @p259 (forall @t53 (or @t346 @t344 @t160))) % 0.53/0.77 (assume @p260 (forall @t61 (or @t176 @t121 @t110))) % 0.53/0.77 (assume @p261 (forall @t61 (or @t176 @t118 @t120))) % 0.53/0.77 (assume @p262 (forall @t101 (or @t89 (not (tptp.c_HOL_Oord__class_Oless @t100 @t47 @t4))))) % 0.53/0.77 (assume @p263 (forall @t101 (or @t182 (not (= @t100 @t47))))) % 0.53/0.77 (assume @p264 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t109 @t109 tptp.tc_nat)) % 0.53/0.77 (assume @p265 (forall @t53 (or @t175 (= (tptp.c_Finite__Set_Olinorder__class_OMin @t164 @t4) @t27)))) % 0.53/0.77 (assume @p266 (forall @t230 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t5 @t17) @t26))) % 0.53/0.77 (assume @p267 (forall @t151 (or @t150 @t162 @t161 @t348))) % 0.53/0.77 (assume @p268 (forall @t151 (or @t150 @t162 @t349 @t160))) % 0.53/0.77 (assume @p269 (forall @t53 (or @t78 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t47 @t4)))) % 0.53/0.77 (assume @p270 (forall @t101 (or @t89 (tptp.c_lessequals @t47 @t100 @t4)))) % 0.53/0.77 (assume @p271 (forall @t84 (not (tptp.hBOOL (tptp.hAPP @t26 @t2))))) % 0.53/0.77 (assume @p272 (forall @t85 (= (tptp.c_Divides_Odiv__class_Omod @t54 @t109 tptp.tc_nat) @t55))) % 0.53/0.77 (assume @p273 (forall @t61 (or (= @t59 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t350 @t58 tptp.tc_nat))) @t118))) % 0.53/0.77 (assume @p274 (forall (@list @t5 @t18 @t4 @t293 @t292) (or (tptp.c_lessequals @t19 (tptp.c_HOL_Ominus__class_Ominus @t293 @t292 @t17) @t17) (not (tptp.c_lessequals @t292 @t18 @t17)) @t352))) % 0.53/0.77 (assume @p275 (forall @t53 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t27 @t100 @t4) @t47)))) % 0.53/0.77 (assume @p276 (forall @t355 (or @t354 (not @t353)))) % 0.53/0.77 (assume @p277 (forall @t355 (or @t353 @t356))) % 0.53/0.77 (assume @p278 (forall @t61 (or (= @t124 @t54) @t266))) % 0.53/0.77 (assume @p279 (forall (@list @t5 @t64 @t18 @t4) (or (tptp.c_lessequals @t5 @t357 @t17) @t35))) % 0.53/0.77 (assume @p280 (forall @t360 (or @t34 @t359))) % 0.53/0.77 (assume @p281 (forall (@list @t6 @t5 @t4 @t3 @t27) (or @t7 @t264))) % 0.53/0.77 (assume @p282 (forall (@list @t1 @t2 @t4) (= (tptp.c_Set_Oinsert @t1 @t93 @t4) (tptp.c_Set_Oinsert @t2 (tptp.c_Set_Oinsert @t1 @t26 @t4) @t4)))) % 0.53/0.77 (assume @p283 (forall (@list @t27 @t4 @t64) (or (not (= @t164 @t295)) @t199))) % 0.53/0.77 (assume @p284 (forall @t107 (or (not @t361) @t104 @t102))) % 0.53/0.77 (assume @p285 (forall @t107 (or @t103 (not @t106)))) % 0.53/0.77 (assume @p286 (forall @t61 (or @t265 @t137 @t363))) % 0.53/0.77 (assume @p287 (forall @t61 (or @t137 @t265 @t363))) % 0.53/0.77 (assume @p288 (tptp.c_lessequals @t55 @t55 tptp.tc_nat)) % 0.53/0.77 (assume @p289 (forall @t141 (or @t364 @t363))) % 0.53/0.77 (assume @p290 (forall @t308 (or @t362 (not @t364)))) % 0.53/0.77 (assume @p291 (forall @t274 (or (tptp.c_lessequals @t367 @t366 tptp.tc_nat) @t365))) % 0.53/0.77 (assume @p292 (forall @t61 (or @t362 @t266))) % 0.53/0.77 (assume @p293 (forall @t369 (or @t368 @t324))) % 0.53/0.77 (assume @p294 (forall @t319 (tptp.c_lessequals @t54 @t318 tptp.tc_nat))) % 0.53/0.77 (assume @p295 (forall @t184 (tptp.c_lessequals @t58 @t59 tptp.tc_nat))) % 0.53/0.77 (assume @p296 (forall @t184 (tptp.c_lessequals @t58 @t183 tptp.tc_nat))) % 0.53/0.77 (assume @p297 (forall @t86 (or @t120 (not (tptp.c_lessequals @t58 @t55 tptp.tc_nat))))) % 0.53/0.77 (assume @p298 (forall @t371 (or (tptp.c_lessequals @t367 @t370 tptp.tc_nat) (not (tptp.c_lessequals @t138 @t337 tptp.tc_nat)) @t365))) % 0.53/0.77 (assume @p299 (forall @t330 (or (tptp.c_lessequals @t270 @t329 tptp.tc_nat) @t365))) % 0.53/0.77 (assume @p300 (forall @t328 (or (tptp.c_lessequals @t270 @t327 tptp.tc_nat) @t365))) % 0.53/0.77 (assume @p301 (forall @t374 (or @t373 @t372))) % 0.53/0.77 (assume @p302 (forall @t308 (or @t362 @t372))) % 0.53/0.77 (assume @p303 (forall @t146 (or @t375 (not (tptp.c_lessequals @t2 @t41 tptp.tc_nat))))) % 0.53/0.77 (assume @p304 (forall @t146 (or @t375 (not @t368)))) % 0.53/0.77 (assume @p305 (forall @t86 (tptp.c_lessequals @t55 @t58 tptp.tc_nat))) % 0.53/0.77 (assume @p306 (forall @t61 (tptp.c_lessequals @t124 @t54 tptp.tc_nat))) % 0.53/0.77 (assume @p307 (forall @t376 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t58 @t273 tptp.tc_nat) @t58 tptp.tc_nat) @t63))) % 0.53/0.77 (assume @p308 (forall @t86 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t58 @t109 tptp.tc_nat)) @t58) @t63))) % 0.53/0.77 (assume @p309 (forall @t377 (or (not (tptp.c_lessequals @t2 @t5 @t172)) (tptp.c_lessequals (tptp.c_Set_Oimage @t6 @t2 @t3 @t4) @t174 @t17)))) % 0.53/0.77 (assume @p310 (forall @t380 (or (tptp.c_lessequals @t379 @t378 @t172) @t35))) % 0.53/0.77 (assume @p311 (forall (@list @t6 @t5 @t3 @t4) (or (not (= @t174 @t26)) @t382))) % 0.53/0.77 (assume @p312 (forall (@list @t4 @t6 @t5 @t3) (or (not (= @t26 @t174)) @t382))) % 0.53/0.77 (assume @p313 (forall (@list @t6 @t3 @t4) (= @t383 @t26))) % 0.53/0.77 (assume @p314 (forall (@list @t4 @t6 @t3) (= @t26 @t383))) % 0.53/0.77 (assume @p315 (forall @t184 (or (not (= @t387 @t55)) @t386 @t137))) % 0.53/0.77 (assume @p316 (forall (@list @t269 @t58 @t138) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t269 @t58 tptp.tc_nat) @t138 tptp.tc_nat) @t272))) % 0.53/0.77 (assume @p317 (forall @t141 (or @t390 @t356 @t389))) % 0.53/0.77 (assume @p318 (forall @t85 (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t55 tptp.tc_nat) @t54))) % 0.53/0.77 (assume @p319 (forall @t85 (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t54 tptp.tc_nat) @t55))) % 0.53/0.77 (assume @p320 (forall @t393 (or (tptp.c_HOL_Oord__class_Oless @t392 @t391 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t54 @t337 tptp.tc_nat)) @t266))) % 0.53/0.77 (assume @p321 (forall (@list @t30 @t64 @t2) (or (not (tptp.hBOOL (tptp.hAPP @t30 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t64 @t2 tptp.tc_nat) @t64 tptp.tc_nat)))) @t31))) % 0.53/0.77 (assume @p322 (forall (@list @t30 @t64 @t67) (or (not (tptp.hBOOL (tptp.hAPP @t30 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Oplus__class_Oplus @t64 @t67 tptp.tc_nat) @t64 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t30 @t67))))) % 0.53/0.77 (assume @p323 (forall @t395 (= @t394 (tptp.c_HOL_Ominus__class_Ominus @t270 @t366 tptp.tc_nat)))) % 0.53/0.77 (assume @p324 (forall @t86 (= (tptp.c_HOL_Ominus__class_Ominus @t55 @t58 tptp.tc_nat) @t55))) % 0.53/0.77 (assume @p325 (forall @t144 (= (tptp.c_HOL_Ominus__class_Ominus @t143 @t142 tptp.tc_nat) @t384))) % 0.53/0.77 (assume @p326 (forall @t141 (= (tptp.c_HOL_Ominus__class_Ominus @t140 @t139 tptp.tc_nat) @t384))) % 0.53/0.77 (assume @p327 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t59 @t58 tptp.tc_nat) @t54))) % 0.53/0.77 (assume @p328 (forall @t184 (= (tptp.c_HOL_Ominus__class_Ominus @t183 @t58 tptp.tc_nat) @t54))) % 0.53/0.77 (assume @p329 (forall @t397 (or (tptp.c_HOL_Oord__class_Oless @t396 @t105 tptp.tc_nat) @t10 @t104))) % 0.53/0.77 (assume @p330 (forall (@list @t5 @t2 @t4 @t12) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_Finite__Set_Ocard (tptp.c_HOL_Ominus__class_Ominus @t94 (tptp.c_Set_Oinsert @t12 @t26 @t4) @t17) @t4) @t105 tptp.tc_nat) @t14 @t10 @t104))) % 0.53/0.77 (assume @p331 (forall (@list @t5 @t4 @t18 @t3 @t228 @t6) (or (= @t105 @t401) @t400 @t104 (not (tptp.c_lessequals (tptp.c_Set_Oimage @t228 @t18 @t3 @t4) @t5 @t17)) (not (tptp.c_Fun_Oinj__on @t228 @t18 @t3 @t4)) @t398 @t8))) % 0.53/0.77 (assume @p332 (forall @t168 (or (= @t404 (tptp.c_HOL_Ominus__class_Ominus @t105 @t403 tptp.tc_nat)) @t402 @t256))) % 0.53/0.77 (assume @p333 (forall @t397 (or (= @t396 (tptp.c_HOL_Ominus__class_Ominus @t105 @t147 tptp.tc_nat)) @t10 @t104))) % 0.53/0.77 (assume @p334 (forall @t151 (or @t203 @t405 @t75))) % 0.53/0.77 (assume @p335 (forall @t151 (or @t203 @t74 (not @t405)))) % 0.53/0.77 (assume @p336 (forall @t33 (tptp.c_in @t2 @t93 @t4))) % 0.53/0.77 (assume @p337 (forall @t407 (or @t358 @t35 @t406))) % 0.53/0.77 (assume @p338 (forall @t407 (or (= @t408 @t19) @t406))) % 0.53/0.77 (assume @p339 (forall (@list @t64 @t27 @t4) (or (= @t64 @t27) (not (tptp.c_in @t64 @t164 @t4))))) % 0.53/0.77 (assume @p340 (forall @t411 (or (not (= @t410 @t26)) @t409))) % 0.53/0.77 (assume @p341 (forall @t37 (or @t36 @t359))) % 0.53/0.77 (assume @p342 (forall @t99 (or @t98 @t35 @t9))) % 0.53/0.77 (assume @p343 (forall @t360 (or @t34 @t9 @t312))) % 0.53/0.77 (assume @p344 (forall @t360 (or @t34 @t312 @t9))) % 0.53/0.77 (assume @p345 (forall @t407 (or (= @t408 (tptp.c_Set_Oinsert @t2 @t19 @t4)) @t36))) % 0.53/0.77 (assume @p346 (forall (@list @t6 @t2 @t18 @t4 @t5 @t3) (or (tptp.c_in @t11 @t18 @t4) @t412 (not (tptp.c_lessequals @t174 @t18 @t17))))) % 0.53/0.77 (assume @p347 (forall @t339 (or @t89 @t362 (not @t413)))) % 0.53/0.77 (assume @p348 (forall @t339 (or @t89 @t413 @t363))) % 0.53/0.77 (assume @p349 (forall @t321 (or @t414 @t259))) % 0.53/0.77 (assume @p350 (forall (@list @t5 @t18 @t4 @t27) (or @t258 (not @t414)))) % 0.53/0.77 (assume @p351 @t416) % 0.53/0.77 (assume @p352 (forall (@list @t5 @t3 @t6 @t4) (or (tptp.c_Finite__Set_Ofinite @t5 @t3) (not (tptp.c_Fun_Oinj__on @t6 @t5 @t3 @t4)) (not (tptp.c_Finite__Set_Ofinite @t174 @t4))))) % 0.53/0.77 (assume @p353 (forall (@list @t18 @t3 @t6 @t5 @t4) (or @t399 (not (tptp.c_lessequals @t18 @t379 @t172)) @t104))) % 0.53/0.77 (assume @p354 (forall @t184 (or @t282 @t281 @t363))) % 0.53/0.77 (assume @p355 (forall @t184 (or @t279 @t418))) % 0.53/0.77 (assume @p356 (forall @t184 (or @t417 (not @t279)))) % 0.53/0.77 (assume @p357 (forall @t61 (or @t265 @t420))) % 0.53/0.77 (assume @p358 (forall @t61 (or @t419 @t266))) % 0.53/0.77 (assume @p359 (forall @t61 (or @t267 @t363))) % 0.53/0.77 (assume @p360 (forall @t61 (or @t362 @t283))) % 0.53/0.77 (assume @p361 (forall @t87 (or (not @t421) @t275))) % 0.53/0.77 (assume @p362 (forall @t255 (or (= @t423 @t422) @t104))) % 0.53/0.77 (assume @p363 (forall @t397 (or (tptp.c_lessequals @t396 @t105 tptp.tc_nat) @t104))) % 0.53/0.77 (assume @p364 (forall @t107 (or @t361 @t103))) % 0.53/0.77 (assume @p365 (forall (@list @t5 @t4 @t18 @t3 @t6) (or (tptp.c_lessequals @t105 @t401 tptp.tc_nat) @t400 @t398 @t8))) % 0.53/0.77 (assume @p366 (forall @t86 (= (tptp.c_HOL_Ominus__class_Ominus @t171 @t147 tptp.tc_nat) @t58))) % 0.53/0.77 (assume @p367 (forall @t61 (tptp.c_HOL_Oord__class_Oless @t384 @t122 tptp.tc_nat))) % 0.53/0.77 (assume @p368 (forall @t61 (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t171 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t350 @t58 tptp.tc_nat)))) % 0.53/0.77 (assume @p369 (forall @t144 (or @t428 @t266 @t425 @t424))) % 0.53/0.77 (assume @p370 (forall @t308 (or @t265 (not @t428) @t425 @t424))) % 0.53/0.77 (assume @p371 (forall @t434 (or (= @t433 @t431) @t429))) % 0.53/0.77 (assume @p372 (forall @t395 (or (= @t436 @t435) @t429))) % 0.53/0.77 (assume @p373 (forall @t61 (or (= (tptp.c_HOL_Oplus__class_Oplus @t384 @t58 tptp.tc_nat) @t54) @t438))) % 0.53/0.77 (assume @p374 (forall @t184 (or @t439 @t438))) % 0.53/0.77 (assume @p375 (forall @t440 (or @t365 (= @t269 (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Ominus__class_Ominus @t269 @t270 tptp.tc_nat) @t270 tptp.tc_nat))))) % 0.53/0.77 (assume @p376 (forall (@list @t270 @t138) (or (not (tptp.c_lessequals @t270 @t441 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t441 @t270 tptp.tc_nat) @t138)))) % 0.53/0.77 (assume @p377 (= @t109 @t315)) % 0.53/0.77 (assume @p378 (forall @t87 (not @t287))) % 0.53/0.77 (assume @p379 (forall @t86 (not (tptp.c_HOL_Oord__class_Oless @t58 @t58 tptp.tc_nat)))) % 0.53/0.77 (assume @p380 (forall @t84 (or @t200 @t225))) % 0.53/0.77 (assume @p381 (forall @t84 (or @t175 @t225))) % 0.53/0.77 (assume @p382 (forall @t84 (or @t207 @t225))) % 0.53/0.77 (assume @p383 (forall @t151 (or @t150 @t149 @t154 @t49))) % 0.53/0.77 (assume @p384 (forall @t101 (or @t89 (not (tptp.c_lessequals @t100 @t47 @t4))))) % 0.53/0.77 (assume @p385 (forall @t227 (or @t346 @t215 @t197 @t13))) % 0.53/0.77 (assume @p386 (forall @t198 (or @t175 @t13 @t215 @t197))) % 0.53/0.77 (assume @p387 (forall @t168 (or @t442 @t402 @t35))) % 0.53/0.77 (assume @p388 (forall @t369 (or @t13 @t443 @t40))) % 0.53/0.77 (assume @p389 (forall @t444 (or @t443 @t13 @t40))) % 0.53/0.77 (assume @p390 (forall @t61 (or @t137 @t445 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t54 @t58 tptp.tc_nat))))) % 0.53/0.77 (assume @p391 (forall @t184 (or @t279 @t265 @t137))) % 0.53/0.77 (assume @p392 (forall (@list @t30 @t58 @t54) (or (tptp.hBOOL (tptp.hAPP @t446 @t54)) @t279 @t137 @t265))) % 0.53/0.77 (assume @p393 (forall @t369 (or @t13 @t40 @t443))) % 0.53/0.77 (assume @p394 (forall @t449 (or @t448 @t199 @t447))) % 0.53/0.77 (assume @p395 (forall @t449 (or @t448 @t447 @t199))) % 0.53/0.77 (assume @p396 (forall @t444 (or (tptp.c_HOL_Oord__class_Oless @t12 @t2 tptp.tc_nat) @t323 @t13))) % 0.53/0.77 (assume @p397 (forall @t227 (or @t175 @t215 @t197 @t13))) % 0.53/0.77 (assume @p398 (forall @t227 (or @t175 @t215 @t13 @t197))) % 0.53/0.77 (assume @p399 (forall @t198 (or @t175 @t13 @t197 @t215))) % 0.53/0.77 (assume @p400 (forall @t184 (or @t445 @t266 @t57))) % 0.53/0.77 (assume @p401 (forall @t86 (or (= @t450 @t58) @t63))) % 0.53/0.77 (assume @p402 (forall @t86 (or (= @t58 @t450) @t63))) % 0.53/0.77 (assume @p403 (forall @t73 (or @t72 @t71 @t76 @t66))) % 0.53/0.77 (assume @p404 (forall @t371 (or (tptp.c_HOL_Oord__class_Oless @t367 @t370 tptp.tc_nat) @t338 @t271))) % 0.53/0.77 (assume @p405 (forall @t223 (or @t78 @t113 (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t64 @t20 @t4)) @t112))) % 0.53/0.77 (assume @p406 (forall @t53 (or @t78 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t27 @t27 @t4)))) % 0.53/0.77 (assume @p407 (forall @t87 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t2 @t2 tptp.tc_nat))) % 0.53/0.77 (assume @p408 (forall @t452 (or @t451 @t43 @t42 @t46 @t40))) % 0.53/0.77 (assume @p409 (forall @t452 (or @t451 @t42 @t40))) % 0.53/0.77 (assume @p410 (forall @t151 (or @t203 @t65 (not @t453)))) % 0.53/0.77 (assume @p411 (forall @t151 (or @t203 @t453 @t66))) % 0.53/0.77 (assume @p412 (forall @t339 (or @t89 @t454 @t266))) % 0.53/0.77 (assume @p413 (forall @t339 (or @t89 @t265 (not @t454)))) % 0.53/0.77 (assume @p414 (forall (@list @t4 @t177 @t178) (or @t175 (tptp.c_lessequals (tptp.c_Finite__Set_Olinorder__class_OMin @t177 @t4) (tptp.c_Finite__Set_Olinorder__class_OMin @t178 @t4) @t4) @t181 @t180 @t179))) % 0.53/0.77 (assume @p415 (forall @t101 (or @t89 (tptp.c_HOL_Oord__class_Oless @t47 @t100 @t4)))) % 0.53/0.77 (assume @p416 (forall @t107 (or @t102 (not (tptp.c_lessequals @t5 @t26 @t17))))) % 0.53/0.77 (assume @p417 (forall @t101 (tptp.c_lessequals @t26 @t26 @t17))) % 0.53/0.77 (assume @p418 (forall @t53 (or @t89 (tptp.c_HOL_Oord__class_Oless @t27 (tptp.c_HOL_Oplus__class_Oplus @t27 @t100 @t4) @t4)))) % 0.53/0.77 (assume @p419 (forall @t92 (or @t89 @t455 @t63))) % 0.53/0.77 (assume @p420 (forall @t92 (or @t89 @t62 (not @t455)))) % 0.53/0.77 (assume @p421 (forall @t53 (or @t78 (tptp.c_Ring__and__Field_Odvd__class_Odvd @t100 @t27 @t4)))) % 0.53/0.77 (assume @p422 (forall @t86 (or @t62 @t120))) % 0.53/0.77 (assume @p423 (not (tptp.c_HOL_Oord__class_Oless @t55 @t55 tptp.tc_nat))) % 0.53/0.77 (assume @p424 (forall @t151 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t117 @t64 @t4) @t314)))) % 0.53/0.77 (assume @p425 (forall @t157 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t129 @t64 @t4) @t314)))) % 0.53/0.77 (assume @p426 (forall @t131 (or @t89 @t186 @t185 @t49))) % 0.53/0.77 (assume @p427 (forall @t115 (or @t156 (= (tptp.c_Divides_Odiv__class_Omod @t314 @t20 @t4) @t192) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t20 @t64 @t4))))) % 0.53/0.77 (assume @p428 (forall @t53 (or @t52 @t456 @t348))) % 0.53/0.77 (assume @p429 (forall @t53 (or @t52 @t347 (not @t456)))) % 0.53/0.77 (assume @p430 (forall @t440 (not (tptp.c_HOL_Oord__class_Oless @t326 @t270 tptp.tc_nat)))) % 0.53/0.77 (assume @p431 (forall (@list @t269 @t270) (not (tptp.c_HOL_Oord__class_Oless @t430 @t270 tptp.tc_nat)))) % 0.53/0.77 (assume @p432 (forall @t61 (or @t457 @t265))) % 0.53/0.77 (assume @p433 (forall @t274 (or @t459 (not @t458)))) % 0.53/0.77 (assume @p434 (forall @t395 (or @t458 (not @t459)))) % 0.53/0.77 (assume @p435 (forall @t223 (or @t72 @t460 @t66))) % 0.53/0.77 (assume @p436 (forall @t223 (or @t187 @t460 @t66))) % 0.53/0.77 (assume @p437 (forall @t115 (or @t187 @t65 (not @t460)))) % 0.53/0.77 (assume @p438 (forall @t221 (or @t72 @t461 @t66))) % 0.53/0.77 (assume @p439 (forall @t221 (or @t187 @t461 @t66))) % 0.53/0.77 (assume @p440 (forall @t115 (or @t187 @t65 (not @t461)))) % 0.53/0.77 (assume @p441 (forall @t274 (or (tptp.c_HOL_Oord__class_Oless @t367 @t366 tptp.tc_nat) @t271))) % 0.53/0.77 (assume @p442 (forall @t308 (or @t265 (not @t462)))) % 0.53/0.77 (assume @p443 (forall @t141 (or @t462 @t266))) % 0.53/0.77 (assume @p444 (forall @t465 (or (not @t464) @t463))) % 0.53/0.77 (assume @p445 (forall @t465 (or (not @t463) @t464))) % 0.53/0.77 (assume @p446 (forall @t151 (or @t150 (tptp.c_lessequals @t117 @t47 @t4) @t349 @t348))) % 0.53/0.77 (assume @p447 (forall @t33 (tptp.c_lessequals @t2 @t2 @t17))) % 0.53/0.77 (assume @p448 (forall @t107 (tptp.c_lessequals @t5 @t5 @t17))) % 0.53/0.77 (assume @p449 (forall (@list @t5 @t293 @t4 @t18) (or @t351 @t466 @t35))) % 0.53/0.77 (assume @p450 (forall @t380 (or @t7 @t35 (not (tptp.c_Fun_Oinj__on @t6 @t18 @t4 @t3))))) % 0.53/0.77 (assume @p451 (forall @t470 (or @t469 @t194 @t468))) % 0.53/0.77 (assume @p452 (forall @t470 (or @t469 @t468 @t194))) % 0.53/0.77 (assume @p453 (forall (@list @t30 @t27 @t64) (or (tptp.hBOOL (tptp.hAPP @t30 @t55)) @t471 (not (tptp.hBOOL (tptp.hAPP @t30 (tptp.c_HOL_Ominus__class_Ominus @t27 @t64 tptp.tc_nat))))))) % 0.53/0.77 (assume @p454 (= @t188 @t109)) % 0.53/0.77 (assume @p455 (forall (@list @t6 @t5 @t18 @t4 @t3 @t293) (or (= (tptp.c_Set_Oimage @t6 @t19 @t4 @t3) (tptp.c_HOL_Ominus__class_Ominus @t379 @t378 @t172)) @t466 @t352 (not (tptp.c_Fun_Oinj__on @t6 @t293 @t4 @t3))))) % 0.53/0.77 (assume @p456 (forall @t85 (or (= @t54 @t147) (not (tptp.c_Ring__and__Field_Odvd__class_Odvd @t54 @t147 tptp.tc_nat))))) % 0.53/0.77 (assume @p457 (forall @t397 (or (= @t5 @t93) @t102 (not (tptp.c_lessequals @t5 @t93 @t17))))) % 0.53/0.77 (assume @p458 (forall @t61 (or @t265 (not @t472)))) % 0.53/0.77 (assume @p459 (forall @t184 (or @t472 @t266))) % 0.53/0.77 (assume @p460 (forall @t339 (or @t169 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t59 @t4) (tptp.c_HOL_Oplus__class_Oplus @t88 @t91 @t4))))) % 0.53/0.77 (assume @p461 (forall @t61 (or (tptp.c_HOL_Oord__class_Oless @t384 @t54 tptp.tc_nat) @t57 @t63))) % 0.53/0.77 (assume @p462 (forall (@list @t18 @t293 @t5 @t4) (or (= (tptp.c_HOL_Ominus__class_Ominus @t18 (tptp.c_HOL_Ominus__class_Ominus @t293 @t5 @t17) @t17) @t5) @t466 @t35))) % 0.53/0.77 (assume @p463 (forall @t223 (or @t156 (= @t193 @t191)))) % 0.53/0.77 (assume @p464 (forall @t115 (or @t156 (= @t190 @t191)))) % 0.53/0.77 (assume @p465 (forall @t184 (or @t439 @t265))) % 0.53/0.77 (assume @p466 (forall @t61 (or @t119 @t121 @t110))) % 0.53/0.77 (assume @p467 (forall @t61 (or @t119 @t118 @t120))) % 0.53/0.77 (assume @p468 (forall @t355 (or @t373 @t63 @t356))) % 0.53/0.77 (assume @p469 (forall @t151 (or @t200 @t66 @t473))) % 0.53/0.77 (assume @p470 (forall @t198 (or @t175 @t204 @t216))) % 0.53/0.77 (assume @p471 (forall @t452 (or @t451 @t43 @t42 @t40))) % 0.53/0.77 (assume @p472 (forall @t452 (or @t451 @t42 @t46 @t40))) % 0.53/0.77 (assume @p473 (forall @t227 (or @t207 @t216 @t204))) % 0.53/0.77 (assume @p474 (forall @t157 (or @t207 @t473 @t66))) % 0.53/0.77 (assume @p475 (forall @t395 (or (= (tptp.c_HOL_Ominus__class_Ominus @t270 @t432 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t367 @t269 tptp.tc_nat)) @t429))) % 0.53/0.77 (assume @p476 (forall @t474 (or (= @t431 @t433) @t429))) % 0.53/0.77 (assume @p477 (forall @t395 (or (= @t435 @t436) @t429))) % 0.53/0.77 (assume @p478 (forall @t434 (or @t476 (not @t475)))) % 0.53/0.77 (assume @p479 (forall @t474 (or @t475 (not @t476)))) % 0.53/0.77 (assume @p480 (forall @t61 (or @t457 @t438))) % 0.53/0.77 (assume @p481 (forall @t395 (or @t478 (not @t477) @t429))) % 0.53/0.77 (assume @p482 (forall @t274 (or @t477 (not @t478) @t429))) % 0.53/0.77 (assume @p483 (forall @t374 (or @t354 @t438 @t389 @t479))) % 0.53/0.77 (assume @p484 (forall @t141 (or @t388 @t438 @t356 @t479))) % 0.53/0.77 (assume @p485 (forall @t61 (or @t385 @t363))) % 0.53/0.77 (assume @p486 (forall @t61 (or @t386 @t362))) % 0.53/0.77 (assume @p487 (forall (@list @t27 @t20 @t64) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t27 @t20 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t64 @t20 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t20 @t27 tptp.tc_nat)) @t471))) % 0.53/0.77 (assume @p488 (forall @t308 (or (tptp.c_lessequals @t54 (tptp.c_HOL_Ominus__class_Ominus @t183 @t138 tptp.tc_nat) tptp.tc_nat) @t425))) % 0.53/0.77 (assume @p489 (forall @t482 (or @t481 @t8))) % 0.53/0.77 (assume @p490 (forall @t397 (or (= @t422 @t105) @t10 @t104))) % 0.53/0.77 (assume @p491 (forall @t321 (or (= (tptp.c_Finite__Set_Ocard @t320 @t4) (tptp.c_HOL_Ominus__class_Ominus @t404 @t147 tptp.tc_nat)) @t483 @t253 @t104))) % 0.53/0.77 (assume @p492 (forall (@list @t4 @t2 @t5) (or @t175 (tptp.c_lessequals @t2 @t231 @t4) @t10 @t104))) % 0.53/0.77 (assume @p493 (forall (@list @t4 @t5 @t2) (or @t175 (tptp.c_lessequals @t229 @t2 @t4) @t10 @t104))) % 0.53/0.77 (assume @p494 (forall (@list @t4 @t6 @t58 @t485) (or @t200 (tptp.c_lessequals (tptp.hAPP @t6 @t58) (tptp.hAPP @t6 @t485) @t4) (not (tptp.c_lessequals @t58 @t485 tptp.tc_nat)) (not (tptp.c_lessequals (tptp.hAPP @t6 @t484) (tptp.hAPP @t6 (tptp.c_Suc @t484)) @t4))))) % 0.53/0.77 (assume @p495 (forall @t339 (or (not (tptp.class_Ring__and__Field_Oring__1 @t4)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t384 @t4) (tptp.c_HOL_Ominus__class_Ominus @t88 @t91 @t4)) @t438))) % 0.53/0.77 (assume @p496 (forall @t168 (or @t442 (not (tptp.c_lessequals @t403 @t105 tptp.tc_nat)) @t35 @t256))) % 0.53/0.77 (assume @p497 (forall @t257 (or (tptp.c_lessequals @t105 @t403 tptp.tc_nat) @t35 @t256))) % 0.53/0.77 (assume @p498 (forall @t482 (or @t481 @t8 @t104))) % 0.53/0.77 (assume @p499 (forall @t482 (or (not @t481) @t104 @t7))) % 0.53/0.77 (assume @p500 (forall (@list @t54 @t269 @t138) (or (= (tptp.c_HOL_Ominus__class_Ominus @t54 @t487 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t143 @t486 tptp.tc_nat)) @t429))) % 0.53/0.77 (assume @p501 (forall (@list @t269 @t138 @t54) (or (= (tptp.c_HOL_Ominus__class_Ominus @t487 @t54 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t486 @t140 tptp.tc_nat)) @t429))) % 0.53/0.77 (assume @p502 (forall @t411 (or @t409 (= (tptp.c_Finite__Set_Ocard @t410 @t4) (tptp.c_Suc @t488)) (= @t488 @t55)))) % 0.53/0.77 (assume @p503 (forall @t33 (or @t28 (= (tptp.c_Finite__Set_Ocard @t93 @t4) (tptp.c_Suc @t108))))) % 0.53/0.77 (assume @p504 (forall @t227 (or @t175 @t210 @t195))) % 0.53/0.77 (assume @p505 (forall @t184 (or @t437 @t362))) % 0.53/0.77 (assume @p506 (forall @t184 (or @t489 @t438))) % 0.53/0.77 (assume @p507 (forall @t184 (or @t437 (not @t489)))) % 0.53/0.77 (assume @p508 (forall @t238 (or @t203 @t237 @t210 (not @t490)))) % 0.53/0.77 (assume @p509 (forall @t238 (or @t203 @t237 @t490 @t211))) % 0.53/0.77 (assume @p510 (forall (@list @t27 @t64 @t5 @t4) (or @t491 @t253))) % 0.53/0.77 (assume @p511 (forall (@list @t27 @t64 @t18 @t4) (or (tptp.c_in @t27 @t357 @t4) (not @t483)))) % 0.53/0.77 (assume @p512 (forall @t84 (or @t207 @t226))) % 0.53/0.77 (assume @p513 (forall @t84 (or @t200 @t226))) % 0.53/0.77 (assume @p514 (forall @t87 @t421)) % 0.53/0.77 (assume @p515 (forall @t274 (or (tptp.c_lessequals @t270 @t138 tptp.tc_nat) (not (tptp.c_lessequals @t269 @t138 tptp.tc_nat)) @t365))) % 0.53/0.77 (assume @p516 (forall @t86 (tptp.c_lessequals @t58 @t58 tptp.tc_nat))) % 0.53/0.77 (assume @p517 (forall @t208 (or @t207 (tptp.c_lessequals @t2 @t41 @t4) @t205 @t196))) % 0.53/0.77 (assume @p518 (forall @t214 (or @t200 (tptp.c_lessequals @t41 @t2 @t4) @t217 @t211))) % 0.53/0.77 (assume @p519 (forall @t86 (not (= @t58 @t171)))) % 0.53/0.77 (assume @p520 (forall @t86 (not (= @t171 @t58)))) % 0.53/0.77 (assume @p521 (forall @t86 (not (tptp.c_lessequals @t171 @t58 tptp.tc_nat)))) % 0.53/0.77 (assume @p522 (forall @t255 (tptp.hBOOL (tptp.hAPP @t254 @t2)))) % 0.53/0.77 (assume @p523 (forall @t61 (or @t492 @t363))) % 0.53/0.77 (assume @p524 (forall @t61 (or @t362 @t420))) % 0.53/0.77 (assume @p525 (forall (@list @t6 @t27 @t18 @t3 @t4) (= (tptp.c_Set_Oimage @t6 (tptp.c_Set_Oinsert @t27 @t18 @t3) @t3 @t4) (tptp.c_Set_Oinsert @t260 @t173 @t4)))) % 0.53/0.77 (assume @p526 (forall @t255 (or (= @t423 @t105) @t10 @t104))) % 0.53/0.77 (assume @p527 (forall (@list @t494 @t493 @t4 @t3) (or (tptp.c_Finite__Set_Ofinite (tptp.c_Set_Oimage @t494 @t493 @t4 @t3) @t3) (not (tptp.c_Finite__Set_Ofinite @t493 @t4))))) % 0.53/0.77 (assume @p528 (forall @t198 (or @t200 @t13 @t196 @t211))) % 0.53/0.77 (assume @p529 (forall @t198 (or @t200 @t13 @t211 @t196))) % 0.53/0.77 (assume @p530 (forall @t61 (or @t137 @t438 @t363))) % 0.53/0.77 (assume @p531 (forall (@list @t27 @t5 @t4 @t64) (or @t252 @t199 (not @t491)))) % 0.53/0.77 (assume @p532 @t496) % 0.53/0.77 (assume @p533 (forall (@list @t497 @t276) (or (not (= (tptp.c_Suc @t497) @t277)) (= @t497 @t276)))) % 0.53/0.77 (assume @p534 (forall @t369 (or (not (= @t170 (tptp.c_Suc @t12))) @t13))) % 0.53/0.77 (assume @p535 (forall (@list @t5 @t4 @t2) (or (tptp.c_lessequals @t105 @t423 tptp.tc_nat) @t104))) % 0.53/0.77 (assume @p536 (forall @t167 (or @t498 @t104))) % 0.53/0.77 (assume @p537 (forall (@list @t5 @t4 @t27) (or @t103 (not @t498)))) % 0.53/0.77 (assume @p538 (forall @t61 (or (= @t499 (tptp.c_Suc @t384)) @t438))) % 0.53/0.77 (assume @p539 (forall (@list @t5 @t2 @t12 @t4) (or @t502 (= @t12 @t2) (not @t501)))) % 0.53/0.77 (assume @p540 (forall @t255 (= (tptp.c_Set_Oinsert @t2 @t254 @t4) @t254))) % 0.53/0.77 (assume @p541 (forall @t255 (tptp.c_in @t2 @t254 @t4))) % 0.53/0.77 (assume @p542 (forall (@list @t27 @t18 @t4) (tptp.c_in @t27 @t300 @t4))) % 0.53/0.77 (assume @p543 (forall (@list @t2 @t18 @t4) (tptp.c_in @t2 @t97 @t4))) % 0.53/0.77 (assume @p544 (forall (@list @t2 @t12 @t5 @t4) (= (tptp.c_Set_Oinsert @t2 @t500 @t4) (tptp.c_Set_Oinsert @t12 @t254 @t4)))) % 0.53/0.77 (assume @p545 (forall (@list @t2 @t503 @t4) (or @t505 (not @t504)))) % 0.53/0.77 (assume @p546 (forall (@list @t503 @t2 @t4) (or @t504 (not @t505)))) % 0.53/0.77 (assume @p547 (forall @t255 (or (= @t423 (tptp.c_Suc @t105)) @t9 @t104))) % 0.53/0.77 (assume @p548 (forall @t393 (or (tptp.c_lessequals @t392 @t391 tptp.tc_nat) @t363))) % 0.53/0.77 (assume @p549 (forall (@list @t54 @t337 @t58) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t54 @t337 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t58 @t337 tptp.tc_nat) tptp.tc_nat) @t363))) % 0.53/0.77 (assume @p550 (forall @t144 (or @t506 @t363 @t425 @t424))) % 0.53/0.77 (assume @p551 (forall @t308 (or @t362 (not @t506) @t425 @t424))) % 0.53/0.77 (assume @p552 (forall (@list @t4 @t1 @t12 @t2) (or @t250 (not (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t12 @t4) @t247)) (= @t1 @t12)))) % 0.53/0.77 (assume @p553 (forall (@list @t4 @t2 @t233 @t232) (or @t250 (not (= @t247 @t235)) (= @t233 @t232)))) % 0.53/0.77 (assume @p554 (forall @t144 (or (not (= @t427 @t426)) @t425 @t424 @t137))) % 0.53/0.77 (assume @p555 (forall @t61 (tptp.c_lessequals @t384 @t54 tptp.tc_nat))) % 0.53/0.77 (assume @p556 (forall @t144 (or (= (tptp.c_HOL_Ominus__class_Ominus @t427 @t426 tptp.tc_nat) @t384) @t425 @t424))) % 0.53/0.77 (assume @p557 (forall @t395 (= @t394 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t270 @t138 tptp.tc_nat) @t269 tptp.tc_nat)))) % 0.53/0.77 (assume @p558 (forall @t61 (or @t363 @t418))) % 0.53/0.77 (assume @p559 (forall @t184 (or @t417 @t362))) % 0.53/0.77 (assume @p560 (forall (@list @t12 @t5 @t4 @t2) (or @t501 (not @t502)))) % 0.53/0.77 (assume @p561 (forall @t507 (or (= (tptp.c_Set_Oinsert @t11 @t379 @t3) @t379) @t10))) % 0.53/0.77 (assume @p562 (forall @t407 (or (not (= @t254 @t97)) @t36 @t9 @t442))) % 0.53/0.77 (assume @p563 (forall @t308 (= (tptp.c_HOL_Ominus__class_Ominus @t499 (tptp.c_Suc @t138) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t384 @t138 tptp.tc_nat)))) % 0.53/0.77 (assume @p564 (forall @t167 (or (= @t163 @t5) @t253))) % 0.53/0.77 (assume @p565 (forall @t86 (tptp.c_lessequals @t171 @t171 tptp.tc_nat))) % 0.53/0.77 (assume @p566 (forall @t482 (or (tptp.c_lessequals @t480 @t105 tptp.tc_nat) @t104))) % 0.53/0.77 (assume @p567 (forall @t230 (or (not (tptp.class_Finite__Set_Ofinite_Ofinite @t4)) @t103))) % 0.53/0.77 (assume @p568 (forall @t376 (or (= (tptp.c_HOL_Ominus__class_Ominus @t58 (tptp.c_HOL_Ominus__class_Ominus @t58 @t270 tptp.tc_nat) tptp.tc_nat) @t270) (not (tptp.c_lessequals @t270 @t58 tptp.tc_nat))))) % 0.53/0.77 (assume @p569 (forall @t61 (or (= @t54 @t171) @t362 (not @t492)))) % 0.53/0.77 (assume @p570 (forall (@list @t2 @t5 @t508 @t6 @t4) (or (not (tptp.c_in @t2 @t5 @t508)) (tptp.c_in @t11 (tptp.c_Set_Oimage @t6 @t5 @t508 @t4) @t4)))) % 0.53/0.77 (assume @p571 (forall @t377 (or @t412 @t509))) % 0.53/0.77 (assume @p572 (forall (@list @t6 @t2 @t5 @t3 @t4) (or @t509 @t412))) % 0.53/0.77 (assume @p573 (forall @t507 (or (tptp.c_in @t11 @t379 @t3) @t10))) % 0.53/0.77 (assume @p574 (tptp.c_Finite__Set_Ofinite tptp.v_U tptp.tc_Com_Opname)) % 0.53/0.77 (assume @p575 @t512) % 0.53/0.77 (assume @p576 @t515) % 0.53/0.77 (assume @p577 (tptp.c_in tptp.v_pn tptp.v_U tptp.tc_Com_Opname)) % 0.53/0.77 (assume @p578 (not @t517)) % 0.53/0.77 (assume @p579 @t518) % 0.53/0.77 (assume @p580 @t522) % 0.53/0.77 (assume @p581 (forall @t526 (or (tptp.class_Finite__Set_Ofinite_Ofinite @t525) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t524)) (not (tptp.class_Finite__Set_Ofinite_Ofinite @t523))))) % 0.53/0.77 (assume @p582 (forall @t526 (or (tptp.class_Orderings_Opreorder @t525) (not (tptp.class_Orderings_Opreorder @t524))))) % 0.53/0.77 (assume @p583 (forall @t526 (or (tptp.class_Orderings_Oorder @t525) (not (tptp.class_Orderings_Oorder @t524))))) % 0.53/0.77 (assume @p584 (forall @t526 (or (tptp.class_Orderings_Obot @t525) (not (tptp.class_Orderings_Obot @t524))))) % 0.53/0.77 (assume @p585 (forall @t526 (or (tptp.class_HOL_Oord @t525) (not (tptp.class_HOL_Oord @t524))))) % 0.53/0.77 (assume @p586 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.53/0.77 (assume @p587 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.53/0.77 (assume @p588 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.53/0.77 (assume @p589 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.53/0.77 (assume @p590 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.53/0.77 (assume @p591 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.53/0.77 (assume @p592 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.53/0.77 (assume @p593 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.53/0.77 (assume @p594 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.53/0.77 (assume @p595 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.53/0.77 (assume @p596 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.53/0.77 (assume @p597 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.53/0.77 (assume @p598 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.53/0.77 (assume @p599 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 0.53/0.77 (assume @p600 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.53/0.77 (assume @p601 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.53/0.77 (assume @p602 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.53/0.77 (assume @p603 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.53/0.77 (assume @p604 (tptp.class_Orderings_Obot tptp.tc_nat)) % 0.53/0.77 (assume @p605 (tptp.class_HOL_Oord tptp.tc_nat)) % 0.53/0.77 (assume @p606 (tptp.class_Finite__Set_Ofinite_Ofinite tptp.tc_bool)) % 0.53/0.77 (assume @p607 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.53/0.77 (assume @p608 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.53/0.77 (assume @p609 (tptp.class_Orderings_Obot tptp.tc_bool)) % 0.53/0.77 (assume @p610 (tptp.class_HOL_Oord tptp.tc_bool)) % 0.53/0.77 (assume @p611 (forall @t33 (tptp.c_fequal @t2 @t2 @t4))) % 0.53/0.77 (assume @p612 (forall (@list @t528 @t527 @t4) (or (= @t528 @t527) (not (tptp.c_fequal @t528 @t527 @t4))))) % 0.53/0.77 (step @p613 :rule refl :args (@t104)) % 0.53/0.77 (step @p614 :rule refl :args (@t9)) % 0.53/0.77 (step @p615 :rule eq-symm :args (@t396 @t105)) % 0.53/0.77 (step @p616 :rule nary_cong :premises (@p615 @p614 @p613) :args (@t415)) % 0.53/0.77 (step @p617 :rule cong :premises (@p616) :args (@t416)) % 0.53/0.77 (step @p618 :rule eq_resolve :premises (@p351 @p617)) % 0.53/0.77 (step @p619 :rule instantiate :premises (@p618) :args ((@list tptp.v_G @t516 tptp.t_a))) % 0.53/0.77 (step @p620 :rule cnf_or_pos :args (@t533)) % 0.53/0.77 (step @p621 :rule reordering :premises (@p620) :args ((or @t517 @t529 @t532 (not @t533)))) % 0.53/0.77 (step @p622 :rule chain_m_resolution :premises (@p621 @p578 @p579 @p619) :args (@t532 (@list true false false) (@list @t517 @t518 @t533))) % 0.53/0.77 (step @p623 :rule instantiate :premises (@p362) :args ((@list @t516 tptp.v_G tptp.t_a))) % 0.53/0.77 (step @p624 :rule cnf_or_pos :args (@t535)) % 0.53/0.77 (step @p625 :rule reordering :premises (@p624) :args ((or @t529 @t534 (not @t535)))) % 0.53/0.77 (step @p626 :rule chain_m_resolution :premises (@p625 @p579 @p623) :args (@t534 @t536 (@list @t518 @t535))) % 0.53/0.77 (step @p627 :rule instantiate :premises (@p538) :args ((@list @t510 @t511))) % 0.53/0.77 (step @p628 :rule cnf_or_pos :args (@t541)) % 0.53/0.77 (step @p629 :rule reordering :premises (@p628) :args ((or @t537 @t540 (not @t541)))) % 0.53/0.77 (step @p630 :rule chain_m_resolution :premises (@p629 @p575 @p627) :args (@t540 @t536 (@list @t512 @t541))) % 0.53/0.77 (step @p631 :rule eq-symm :args (@t495 @t384)) % 0.53/0.77 (step @p632 :rule cong :premises (@p631) :args (@t496)) % 0.53/0.77 (step @p633 :rule eq_resolve :premises (@p532 @p632)) % 0.53/0.77 (step @p634 :rule instantiate :premises (@p633) :args ((@list @t510 tptp.v_na))) % 0.53/0.77 (step @p635 :rule refl :args (@t543)) % 0.53/0.77 (step @p636 :rule refl :args (@t544)) % 0.53/0.77 (step @p637 :rule refl :args (@t545)) % 0.53/0.77 (step @p638 :rule refl :args (@t546)) % 0.53/0.77 (step @p639 :rule bool-double-not-elim :args (@t521)) % 0.53/0.77 (step @p640 :rule refl :args (@t547)) % 0.53/0.77 (step @p641 :rule nary_cong :premises (@p640 @p639 @p638 @p637 @p636 @p635) :args ((or @t547 (not @t522) @t546 @t545 @t544 @t543))) % 0.53/0.77 (assume-push @p691 @t543) % 0.53/0.77 (assume-push @p692 @t542) % 0.53/0.77 (step @p644 :rule evaluate :args ((= false true))) % 0.53/0.77 (step @p645 :rule true_intro :premises (@p634)) % 0.53/0.77 (step @p646 :rule bool-eq-false :args (@t542)) % 0.53/0.77 (step @p647 :rule symm :premises (@p646)) % 0.53/0.77 (step @p648 :rule eq-symm :args (@t539 @t519)) % 0.53/0.77 (step @p649 :rule cong :premises (@p648) :args (@t549)) % 0.53/0.77 (step @p650 :rule bool-eq-false :args (@t548)) % 0.53/0.77 (step @p651 :rule trans :premises (@p650 @p649)) % 0.53/0.77 (step @p652 :rule trans :premises (@p651 @p647)) % 0.53/0.77 (step @p653 :rule false_intro :premises (@p580)) % 0.53/0.77 (step @p654 :rule refl :args (@t519)) % 0.53/0.77 (step @p655 :rule symm :premises (@p626)) % 0.53/0.77 (step @p656 :rule cong :premises (@p622) :args (@t550)) % 0.53/0.77 (step @p657 :rule symm :premises (@p576)) % 0.53/0.77 (step @p658 :rule cong :premises (@p657) :args (@t538)) % 0.53/0.77 (step @p659 :rule trans :premises (@p630 @p658 @p656 @p655)) % 0.53/0.77 (step @p660 :rule cong :premises (@p659 @p654) :args (@t548)) % 0.53/0.77 (step @p661 :rule trans :premises (@p660 @p653)) % 0.53/0.77 (step @p662 :rule eq_resolve :premises (@p661 @p652)) % 0.53/0.77 (step @p663 :rule symm :premises (@p662)) % 0.53/0.77 (step @p664 :rule trans :premises (@p663 @p645)) % 0.53/0.77 (step @p665 false :rule eq_resolve :premises (@p664 @p644)) % 0.53/0.77 (step-pop @p693 :rule scope :premises (@p665)) % 0.53/0.77 (step-pop @p694 :rule scope :premises (@p693)) % 0.53/0.77 (step @p666 :rule process_scope :premises (@p694) :args (false)) % 0.53/0.77 (assume-push @p695 @t515) % 0.53/0.77 (assume-push @p696 @t522) % 0.53/0.77 (assume-push @p697 @t532) % 0.53/0.77 (assume-push @p698 @t534) % 0.53/0.77 (assume-push @p699 @t540) % 0.53/0.77 (assume-push @p700 @t542) % 0.53/0.77 (step @p646 :rule bool-eq-false :args (@t542)) % 0.53/0.77 (step @p647 :rule symm :premises (@p646)) % 0.53/0.77 (step @p648 :rule eq-symm :args (@t539 @t519)) % 0.53/0.77 (step @p649 :rule cong :premises (@p648) :args (@t549)) % 0.53/0.77 (step @p650 :rule bool-eq-false :args (@t548)) % 0.53/0.77 (step @p651 :rule trans :premises (@p650 @p649)) % 0.53/0.77 (step @p652 :rule trans :premises (@p651 @p647)) % 0.53/0.77 (step @p653 :rule false_intro :premises (@p580)) % 0.53/0.77 (step @p654 :rule refl :args (@t519)) % 0.53/0.77 (step @p655 :rule symm :premises (@p626)) % 0.53/0.77 (step @p656 :rule cong :premises (@p622) :args (@t550)) % 0.53/0.77 (step @p657 :rule symm :premises (@p576)) % 0.53/0.77 (step @p658 :rule cong :premises (@p657) :args (@t538)) % 0.53/0.77 (step @p659 :rule trans :premises (@p630 @p658 @p656 @p655)) % 0.53/0.77 (step @p660 :rule cong :premises (@p659 @p654) :args (@t548)) % 0.53/0.77 (step @p661 :rule trans :premises (@p660 @p653)) % 0.53/0.77 (step @p675 :rule eq_resolve :premises (@p661 @p652)) % 0.53/0.77 (step @p676 :rule false_elim :premises (@p675)) % 0.53/0.77 (step @p677 :rule and_intro :premises (@p676 @p634)) % 0.53/0.77 (step-pop @p701 :rule scope :premises (@p677)) % 0.53/0.77 (step-pop @p702 :rule scope :premises (@p701)) % 0.53/0.77 (step-pop @p703 :rule scope :premises (@p702)) % 0.53/0.77 (step-pop @p704 :rule scope :premises (@p703)) % 0.53/0.77 (step-pop @p705 :rule scope :premises (@p704)) % 0.53/0.77 (step-pop @p706 :rule scope :premises (@p705)) % 0.53/0.77 (step @p678 :rule process_scope :premises (@p706) :args (@t551)) % 0.53/0.77 (step @p685 :rule implies_elim :premises (@p678)) % 0.53/0.77 (step @p686 :rule resolution :premises (@p685 @p666) :args (true @t551)) % 0.53/0.77 (step @p687 :rule not_and :premises (@p686)) % 0.53/0.77 (step @p688 :rule eq_resolve :premises (@p687 @p641)) % 0.53/0.77 (step @p689 :rule reordering :premises (@p688) :args ((or @t521 @t547 @t546 @t545 @t544 @t543))) % 0.53/0.77 (step @p690 false :rule chain_m_resolution :premises (@p689 @p634 @p630 @p626 @p622 @p580 @p576) :args (false (@list false false false false true false) (@list @t542 @t540 @t534 @t532 @t521 @t515))) % 0.53/0.77 ) % 0.53/0.77 % SZS output end Proof % 0.53/0.77 % cvc5 exiting %------------------------------------------------------------------------------