%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV822-1 : 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 : n029.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 09:02:27 AM UTC 2026 % Result : Unsatisfiable 2.85s 3.12s % Output : Proof 2.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV822-1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 21:15:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.41/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.85/3.12 % SZS status Unsatisfiable % 2.85/3.12 % SZS output start Proof % 2.96/3.15 ( % 2.96/3.15 (declare-sort $$unsorted 0) % 2.96/3.15 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.v_xa $$unsorted) % 2.96/3.15 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.v_Q $$unsorted) % 2.96/3.15 (declare-const tptp.t_a $$unsorted) % 2.96/3.15 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.t_b $$unsorted) % 2.96/3.15 (declare-const tptp.v_P $$unsorted) % 2.96/3.15 (declare-const tptp.c_Option_Othe (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.v_n $$unsorted) % 2.96/3.15 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.c_Option_Ooption_ONone (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_OWT (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_Obody (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.tc_Com_Ocom $$unsorted) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.c_Option_Ooption_OSome (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 (-> $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.v_xb $$unsorted) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.tc_nat $$unsorted) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 2.96/3.15 (declare-const tptp.v_x $$unsorted) % 2.96/3.15 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.v_pn $$unsorted) % 2.96/3.15 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.96/3.15 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 2.96/3.15 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 2.96/3.15 (define @t1 () (@var "T_a" $$unsorted)) % 2.96/3.15 (define @t2 () (@var "V_d" $$unsorted)) % 2.96/3.15 (define @t3 () (@var "V_e" $$unsorted)) % 2.96/3.15 (define @t4 () (@var "V_b" $$unsorted)) % 2.96/3.15 (define @t5 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t3 @t1)) % 2.96/3.15 (define @t6 () (tptp.c_HOL_Oplus__class_Oplus @t5 @t2 @t1)) % 2.96/3.15 (define @t7 () (@var "V_c" $$unsorted)) % 2.96/3.15 (define @t8 () (@var "V_a" $$unsorted)) % 2.96/3.15 (define @t9 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t3 @t1)) % 2.96/3.15 (define @t10 () (tptp.c_HOL_Oplus__class_Oplus @t9 @t7 @t1)) % 2.96/3.15 (define @t11 () (tptp.c_lessequals @t10 @t6 @t1)) % 2.96/3.15 (define @t12 () (not @t11)) % 2.96/3.15 (define @t13 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t4 @t1)) % 2.96/3.15 (define @t14 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t13 @t3 @t1) @t7 @t1)) % 2.96/3.15 (define @t15 () (tptp.c_lessequals @t14 @t2 @t1)) % 2.96/3.15 (define @t16 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 2.96/3.15 (define @t17 () (@list @t1 @t8 @t4 @t3 @t7 @t2)) % 2.96/3.15 (define @t18 () (@var "V_m" $$unsorted)) % 2.96/3.15 (define @t19 () (@var "V_n" $$unsorted)) % 2.96/3.15 (define @t20 () (tptp.c_lessequals @t19 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t21 () (not @t20)) % 2.96/3.15 (define @t22 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t23 () (tptp.c_Suc @t18)) % 2.96/3.15 (define @t24 () (tptp.c_HOL_Ominus__class_Ominus @t23 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t25 () (@list @t18 @t19)) % 2.96/3.15 (define @t26 () (@var "V_y" $$unsorted)) % 2.96/3.15 (define @t27 () (@var "V_x" $$unsorted)) % 2.96/3.15 (define @t28 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t27 @t1)) % 2.96/3.15 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus @t28 (tptp.c_HOL_Otimes__class_Otimes @t26 @t26 @t1) @t1)) % 2.96/3.15 (define @t30 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 2.96/3.15 (define @t31 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 2.96/3.15 (define @t32 () (@list @t1 @t27 @t26)) % 2.96/3.15 (define @t33 () (not (tptp.class_Divides_Osemiring__div @t1))) % 2.96/3.15 (define @t34 () (@list @t1 @t8)) % 2.96/3.15 (define @t35 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t8 @t1)) % 2.96/3.15 (define @t36 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t7 @t1)) % 2.96/3.15 (define @t37 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 2.96/3.15 (define @t38 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t8 @t1)) % 2.96/3.15 (define @t39 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t4 @t1)) % 2.96/3.15 (define @t40 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 2.96/3.15 (define @t41 () (@list @t1 @t8 @t4)) % 2.96/3.15 (define @t42 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t43 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t45 () (@var "V_l" $$unsorted)) % 2.96/3.15 (define @t46 () (@var "V_k" $$unsorted)) % 2.96/3.15 (define @t47 () (not (tptp.c_HOL_Oord__class_Oless @t46 @t45 tptp.tc_nat))) % 2.96/3.15 (define @t48 () (tptp.c_HOL_Oplus__class_Oplus @t46 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t49 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t26 @t1)) % 2.96/3.15 (define @t50 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 2.96/3.15 (define @t51 () (tptp.c_Suc @t50)) % 2.96/3.15 (define @t52 () (= @t18 @t51)) % 2.96/3.15 (define @t53 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t54 () (not (= @t53 @t51))) % 2.96/3.15 (define @t55 () (= @t19 @t51)) % 2.96/3.15 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t50 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t57 () (not @t56)) % 2.96/3.15 (define @t58 () (tptp.c_Divides_Odiv__class_Omod @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t59 () (not @t44)) % 2.96/3.15 (define @t60 () (tptp.c_HOL_Ominus__class_Ominus @t45 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t61 () (tptp.c_HOL_Ominus__class_Ominus @t45 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t62 () (@list @t45 @t19 @t18)) % 2.96/3.15 (define @t63 () (= @t8 @t30)) % 2.96/3.15 (define @t64 () (not (tptp.class_Int_Onumber__ring @t1))) % 2.96/3.15 (define @t65 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 2.96/3.15 (define @t66 () (= @t19 @t50)) % 2.96/3.15 (define @t67 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t7 @t1)) % 2.96/3.15 (define @t68 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t7 @t1)) % 2.96/3.15 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t68 @t67 @t1)) % 2.96/3.15 (define @t70 () (not @t69)) % 2.96/3.15 (define @t71 () (not (tptp.c_lessequals @t30 @t7 @t1))) % 2.96/3.15 (define @t72 () (tptp.c_HOL_Oord__class_Oless @t8 @t4 @t1)) % 2.96/3.15 (define @t73 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 2.96/3.15 (define @t74 () (@list @t1 @t8 @t4 @t7)) % 2.96/3.15 (define @t75 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t4 @t1)) % 2.96/3.15 (define @t76 () (tptp.c_HOL_Otimes__class_Otimes @t7 @t8 @t1)) % 2.96/3.15 (define @t77 () (tptp.c_HOL_Oord__class_Oless @t76 @t75 @t1)) % 2.96/3.15 (define @t78 () (not @t77)) % 2.96/3.15 (define @t79 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 2.96/3.15 (define @t80 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t27 @t1)) % 2.96/3.15 (define @t81 () (= @t80 @t30)) % 2.96/3.15 (define @t82 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 2.96/3.15 (define @t83 () (@list @t1 @t27)) % 2.96/3.15 (define @t84 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 2.96/3.15 (define @t85 () (@list @t1 @t8 @t3 @t7 @t4 @t2)) % 2.96/3.15 (define @t86 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t4 @t8 @t1) @t3 @t1) @t2 @t1)) % 2.96/3.15 (define @t87 () (tptp.c_lessequals @t7 @t86 @t1)) % 2.96/3.15 (define @t88 () (@list @t1 @t7 @t4 @t8 @t3 @t2)) % 2.96/3.15 (define @t89 () (@var "V_j" $$unsorted)) % 2.96/3.15 (define @t90 () (@var "V_i" $$unsorted)) % 2.96/3.15 (define @t91 () (not (tptp.c_HOL_Oord__class_Oless @t90 @t89 tptp.tc_nat))) % 2.96/3.15 (define @t92 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t93 () (@list @t90 @t18 @t89)) % 2.96/3.15 (define @t94 () (tptp.c_HOL_Oplus__class_Oplus @t89 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t95 () (@list @t90 @t89 @t18)) % 2.96/3.15 (define @t96 () (tptp.c_HOL_Oplus__class_Oplus @t90 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t97 () (@list @t90 @t46 @t89)) % 2.96/3.15 (define @t98 () (@var "V_z" $$unsorted)) % 2.96/3.15 (define @t99 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t98 tptp.tc_nat)) % 2.96/3.15 (define @t100 () (tptp.c_HOL_Oord__class_Oless @t27 @t99 tptp.tc_nat)) % 2.96/3.15 (define @t101 () (@list @t27 @t26 @t98)) % 2.96/3.15 (define @t102 () (tptp.c_HOL_Oord__class_Oless @t27 @t26 tptp.tc_nat)) % 2.96/3.15 (define @t103 () (not @t102)) % 2.96/3.15 (define @t104 () (tptp.c_Suc @t19)) % 2.96/3.15 (define @t105 () (tptp.c_lessequals @t104 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t106 () (not @t105)) % 2.96/3.15 (define @t107 () (tptp.c_HOL_Oord__class_Oless @t19 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t108 () (@list @t19 @t18)) % 2.96/3.15 (define @t109 () (tptp.c_lessequals @t23 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t110 () (not @t109)) % 2.96/3.15 (define @t111 () (tptp.c_lessequals @t4 @t8 @t1)) % 2.96/3.15 (define @t112 () (not @t111)) % 2.96/3.15 (define @t113 () (tptp.c_lessequals @t4 @t36 @t1)) % 2.96/3.15 (define @t114 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 2.96/3.15 (define @t115 () (@list @t1 @t4 @t8 @t7)) % 2.96/3.15 (define @t116 () (tptp.c_lessequals @t30 @t8 @t1)) % 2.96/3.15 (define @t117 () (not @t116)) % 2.96/3.15 (define @t118 () (not (tptp.c_lessequals @t4 @t7 @t1))) % 2.96/3.15 (define @t119 () (tptp.c_Orderings_Oord__class_Omin @t27 @t98 @t1)) % 2.96/3.15 (define @t120 () (tptp.c_Orderings_Oord__class_Omin @t27 @t26 @t1)) % 2.96/3.15 (define @t121 () (tptp.c_Orderings_Oord__class_Omax @t120 @t119 @t1)) % 2.96/3.15 (define @t122 () (tptp.c_Orderings_Oord__class_Omax @t26 @t98 @t1)) % 2.96/3.15 (define @t123 () (tptp.c_Orderings_Oord__class_Omin @t27 @t122 @t1)) % 2.96/3.15 (define @t124 () (not (tptp.class_Orderings_Olinorder @t1))) % 2.96/3.15 (define @t125 () (@list @t1 @t27 @t26 @t98)) % 2.96/3.15 (define @t126 () (tptp.c_Orderings_Oord__class_Omin @t26 @t27 @t1)) % 2.96/3.15 (define @t127 () (@list @t1 @t26 @t98 @t27)) % 2.96/3.15 (define @t128 () (@var "V_com1_H" $$unsorted)) % 2.96/3.15 (define @t129 () (@var "V_com1" $$unsorted)) % 2.96/3.15 (define @t130 () (@var "V_com2_H" $$unsorted)) % 2.96/3.15 (define @t131 () (tptp.c_Com_Ocom_OSemi @t128 @t130)) % 2.96/3.15 (define @t132 () (@var "V_com2" $$unsorted)) % 2.96/3.15 (define @t133 () (tptp.c_Com_Ocom_OSemi @t129 @t132)) % 2.96/3.15 (define @t134 () (not (= @t133 @t131))) % 2.96/3.15 (define @t135 () (@list @t129 @t132 @t128 @t130)) % 2.96/3.15 (define @t136 () (tptp.c_Orderings_Oord__class_Omax @t27 @t26 @t1)) % 2.96/3.15 (define @t137 () (@list @t1 @t26 @t27)) % 2.96/3.15 (define @t138 () (tptp.c_lessequals @t8 @t27 @t1)) % 2.96/3.15 (define @t139 () (not @t138)) % 2.96/3.15 (define @t140 () (tptp.c_lessequals @t4 @t27 @t1)) % 2.96/3.15 (define @t141 () (not @t140)) % 2.96/3.15 (define @t142 () (tptp.c_Orderings_Oord__class_Omax @t8 @t4 @t1)) % 2.96/3.15 (define @t143 () (tptp.c_lessequals @t142 @t27 @t1)) % 2.96/3.15 (define @t144 () (@list @t1 @t8 @t4 @t27)) % 2.96/3.15 (define @t145 () (tptp.c_lessequals @t26 @t27 @t1)) % 2.96/3.15 (define @t146 () (not @t145)) % 2.96/3.15 (define @t147 () (tptp.c_lessequals @t98 @t27 @t1)) % 2.96/3.15 (define @t148 () (not @t147)) % 2.96/3.15 (define @t149 () (tptp.c_lessequals @t27 @t98 @t1)) % 2.96/3.15 (define @t150 () (not @t149)) % 2.96/3.15 (define @t151 () (tptp.c_lessequals @t26 @t98 @t1)) % 2.96/3.15 (define @t152 () (not @t151)) % 2.96/3.15 (define @t153 () (tptp.c_lessequals @t136 @t98 @t1)) % 2.96/3.15 (define @t154 () (not (tptp.c_lessequals @t46 @t89 tptp.tc_nat))) % 2.96/3.15 (define @t155 () (tptp.c_HOL_Oplus__class_Oplus @t90 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t156 () (tptp.c_lessequals @t155 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t157 () (tptp.c_HOL_Ominus__class_Ominus @t89 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t158 () (tptp.c_lessequals @t90 @t157 tptp.tc_nat)) % 2.96/3.15 (define @t159 () (@list @t90 @t89 @t46)) % 2.96/3.15 (define @t160 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t27 tptp.tc_nat)) % 2.96/3.15 (define @t161 () (@list @t18 @t27)) % 2.96/3.15 (define @t162 () (@list @t90 @t18)) % 2.96/3.15 (define @t163 () (not (= @t10 @t6))) % 2.96/3.15 (define @t164 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 2.96/3.15 (define @t165 () (not (tptp.c_lessequals @t90 @t89 tptp.tc_nat))) % 2.96/3.15 (define @t166 () (@var "V_u" $$unsorted)) % 2.96/3.15 (define @t167 () (tptp.c_HOL_Ominus__class_Ominus @t89 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t168 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t167 @t166 tptp.tc_nat) @t19 tptp.tc_nat)) % 2.96/3.15 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t18 @t168 tptp.tc_nat)) % 2.96/3.15 (define @t170 () (tptp.c_HOL_Otimes__class_Otimes @t89 @t166 tptp.tc_nat)) % 2.96/3.15 (define @t171 () (tptp.c_HOL_Oplus__class_Oplus @t170 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t172 () (tptp.c_HOL_Otimes__class_Otimes @t90 @t166 tptp.tc_nat)) % 2.96/3.15 (define @t173 () (tptp.c_HOL_Oplus__class_Oplus @t172 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t174 () (tptp.c_HOL_Oord__class_Oless @t173 @t171 tptp.tc_nat)) % 2.96/3.15 (define @t175 () (@list @t90 @t166 @t18 @t89 @t19)) % 2.96/3.15 (define @t176 () (not @t174)) % 2.96/3.15 (define @t177 () (@list @t18 @t89 @t90 @t166 @t19)) % 2.96/3.15 (define @t178 () (not (tptp.c_lessequals @t89 @t90 tptp.tc_nat))) % 2.96/3.15 (define @t179 () (tptp.c_HOL_Ominus__class_Ominus @t90 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t180 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t179 @t166 tptp.tc_nat) @t18 tptp.tc_nat)) % 2.96/3.15 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t180 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t182 () (@list @t90 @t89 @t166 @t18 @t19)) % 2.96/3.15 (define @t183 () (not @t72)) % 2.96/3.15 (define @t184 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t2 @t1))) % 2.96/3.15 (define @t185 () (tptp.c_HOL_Oord__class_Oless @t30 @t4 @t1)) % 2.96/3.15 (define @t186 () (not @t185)) % 2.96/3.15 (define @t187 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 @t1)) % 2.96/3.15 (define @t188 () (tptp.c_HOL_Oord__class_Oless @t68 @t187 @t1)) % 2.96/3.15 (define @t189 () (@list @t1 @t8 @t7 @t4 @t2)) % 2.96/3.15 (define @t190 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t4 @t1)) % 2.96/3.15 (define @t191 () (tptp.c_Divides_Odiv__class_Omod @t190 @t7 @t1)) % 2.96/3.15 (define @t192 () (tptp.c_Divides_Odiv__class_Omod @t8 @t7 @t1)) % 2.96/3.15 (define @t193 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t192 @t4 @t1) @t7 @t1)) % 2.96/3.15 (define @t194 () (@list @t1 @t8 @t7 @t4)) % 2.96/3.15 (define @t195 () (tptp.c_lessequals @t27 @t8 @t1)) % 2.96/3.15 (define @t196 () (not @t195)) % 2.96/3.15 (define @t197 () (tptp.c_lessequals @t27 @t4 @t1)) % 2.96/3.15 (define @t198 () (not @t197)) % 2.96/3.15 (define @t199 () (tptp.c_Orderings_Oord__class_Omin @t8 @t4 @t1)) % 2.96/3.15 (define @t200 () (tptp.c_lessequals @t27 @t199 @t1)) % 2.96/3.15 (define @t201 () (@list @t1 @t27 @t8 @t4)) % 2.96/3.15 (define @t202 () (tptp.c_lessequals @t27 @t26 @t1)) % 2.96/3.15 (define @t203 () (not @t202)) % 2.96/3.15 (define @t204 () (tptp.c_Orderings_Oord__class_Omin @t26 @t98 @t1)) % 2.96/3.15 (define @t205 () (tptp.c_lessequals @t27 @t204 @t1)) % 2.96/3.15 (define @t206 () (tptp.c_lessequals @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t207 () (not @t206)) % 2.96/3.15 (define @t208 () (= @t22 @t50)) % 2.96/3.15 (define @t209 () (not @t208)) % 2.96/3.15 (define @t210 () (tptp.c_HOL_Ominus__class_Ominus @t26 @t98 @t1)) % 2.96/3.15 (define @t211 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t98 @t1)) % 2.96/3.15 (define @t212 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 2.96/3.15 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t27 @t98 @t1)) % 2.96/3.15 (define @t214 () (not @t213)) % 2.96/3.15 (define @t215 () (tptp.c_HOL_Oord__class_Oless @t26 @t98 @t1)) % 2.96/3.15 (define @t216 () (not @t215)) % 2.96/3.15 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t136 @t98 @t1)) % 2.96/3.15 (define @t218 () (tptp.c_HOL_Oplus__class_Oplus @t46 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t219 () (tptp.c_Suc @t89)) % 2.96/3.15 (define @t220 () (tptp.c_Suc @t157)) % 2.96/3.15 (define @t221 () (tptp.c_HOL_Oord__class_Oless @t30 @t8 @t1)) % 2.96/3.15 (define @t222 () (not @t221)) % 2.96/3.15 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t4 @t36 @t1)) % 2.96/3.15 (define @t224 () (tptp.c_HOL_Oplus__class_Oplus @t51 @t50 tptp.tc_nat)) % 2.96/3.15 (define @t225 () (tptp.c_Divides_Odiv__class_Omod @t8 @t4 @t1)) % 2.96/3.15 (define @t226 () (tptp.c_HOL_Oord__class_Oless @t98 @t27 @t1)) % 2.96/3.15 (define @t227 () (not @t226)) % 2.96/3.15 (define @t228 () (tptp.c_HOL_Oord__class_Oless @t98 @t26 @t1)) % 2.96/3.15 (define @t229 () (not @t228)) % 2.96/3.15 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t98 @t120 @t1)) % 2.96/3.15 (define @t231 () (@list @t1 @t98 @t27 @t26)) % 2.96/3.15 (define @t232 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t26 tptp.tc_nat)) % 2.96/3.15 (define @t233 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t98 tptp.tc_nat)) % 2.96/3.15 (define @t234 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t7 tptp.tc_nat)) % 2.96/3.15 (define @t235 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t2 tptp.tc_nat)) % 2.96/3.15 (define @t236 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t7 @t1)) % 2.96/3.15 (define @t237 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t2 @t1)) % 2.96/3.15 (define @t238 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t26 @t1)) % 2.96/3.15 (define @t239 () (tptp.c_HOL_Otimes__class_Otimes @t27 @t98 @t1)) % 2.96/3.15 (define @t240 () (tptp.c_HOL_Oplus__class_Oplus @t238 @t239 @t1)) % 2.96/3.15 (define @t241 () (@list @t19)) % 2.96/3.15 (define @t242 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t8 @t1)) % 2.96/3.15 (define @t243 () (tptp.c_lessequals @t30 @t242 @t1)) % 2.96/3.15 (define @t244 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 2.96/3.15 (define @t245 () (tptp.c_HOL_Ominus__class_Ominus @t173 @t171 tptp.tc_nat)) % 2.96/3.15 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t50 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t247 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t248 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t249 () (tptp.c_lessequals @t248 @t247 tptp.tc_nat)) % 2.96/3.15 (define @t250 () (@list @t18 @t46 @t19)) % 2.96/3.15 (define @t251 () (tptp.c_HOL_Otimes__class_Otimes @t46 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t252 () (tptp.c_HOL_Otimes__class_Otimes @t46 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t253 () (tptp.c_lessequals @t252 @t251 tptp.tc_nat)) % 2.96/3.15 (define @t254 () (@list @t46 @t18 @t19)) % 2.96/3.15 (define @t255 () (not (tptp.c_lessequals @t46 @t45 tptp.tc_nat))) % 2.96/3.15 (define @t256 () (tptp.c_HOL_Oplus__class_Oplus @t89 @t45 tptp.tc_nat)) % 2.96/3.15 (define @t257 () (@list @t90 @t46 @t89 @t45)) % 2.96/3.15 (define @t258 () (tptp.c_lessequals @t8 @t4 @t1)) % 2.96/3.15 (define @t259 () (not @t258)) % 2.96/3.15 (define @t260 () (not (tptp.c_lessequals @t7 @t2 @t1))) % 2.96/3.15 (define @t261 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t2 @t1)) % 2.96/3.15 (define @t262 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 2.96/3.15 (define @t263 () (tptp.c_HOL_Oord__class_Oless @t18 @t104 tptp.tc_nat)) % 2.96/3.15 (define @t264 () (not @t263)) % 2.96/3.15 (define @t265 () (tptp.c_Suc @t27)) % 2.96/3.15 (define @t266 () (tptp.c_HOL_Oord__class_Oless @t27 @t265 tptp.tc_nat)) % 2.96/3.15 (define @t267 () (tptp.c_lessequals @t27 @t27 tptp.tc_nat)) % 2.96/3.15 (define @t268 () (@list @t27)) % 2.96/3.15 (define @t269 () (tptp.c_HOL_Otimes__class_Otimes @t19 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t270 () (= (tptp.c_HOL_Oplus__class_Oplus @t30 @t30 @t1) @t30)) % 2.96/3.15 (define @t271 () (@list @t1)) % 2.96/3.15 (define @t272 () (not (tptp.c_lessequals @t30 @t30 @t1))) % 2.96/3.15 (define @t273 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 2.96/3.15 (define @t274 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t8 @t1)) % 2.96/3.15 (define @t275 () (tptp.c_Divides_Odiv__class_Omod @t4 @t7 @t1)) % 2.96/3.15 (define @t276 () (tptp.c_Divides_Odiv__class_Omod @t39 @t7 @t1)) % 2.96/3.15 (define @t277 () (tptp.c_lessequals @t30 @t4 @t1)) % 2.96/3.15 (define @t278 () (not @t277)) % 2.96/3.15 (define @t279 () (tptp.c_HOL_Oord__class_Oless @t27 @t26 @t1)) % 2.96/3.15 (define @t280 () (not @t279)) % 2.96/3.15 (define @t281 () (not (tptp.class_Orderings_Opreorder @t1))) % 2.96/3.15 (define @t282 () (@list @t1 @t27 @t98 @t26)) % 2.96/3.15 (define @t283 () (tptp.c_HOL_Oord__class_Oless @t26 @t27 @t1)) % 2.96/3.15 (define @t284 () (not @t283)) % 2.96/3.15 (define @t285 () (not (tptp.class_Orderings_Oorder @t1))) % 2.96/3.15 (define @t286 () (= @t136 @t26)) % 2.96/3.15 (define @t287 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t98 @t1)) % 2.96/3.15 (define @t288 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t287 @t1)) % 2.96/3.15 (define @t289 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t98 @t1)) % 2.96/3.15 (define @t290 () (tptp.c_HOL_Oplus__class_Oplus @t27 @t98 tptp.tc_nat)) % 2.96/3.15 (define @t291 () (tptp.c_HOL_Oplus__class_Oplus @t19 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t292 () (@list @t18 @t19 @t46)) % 2.96/3.15 (define @t293 () (tptp.c_HOL_Oplus__class_Oplus @t4 @t7 @t1)) % 2.96/3.15 (define @t294 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t293 @t1)) % 2.96/3.15 (define @t295 () (tptp.c_HOL_Oplus__class_Oplus @t39 @t7 @t1)) % 2.96/3.15 (define @t296 () (= @t295 @t294)) % 2.96/3.15 (define @t297 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t2 @t1)) % 2.96/3.15 (define @t298 () (tptp.c_HOL_Oplus__class_Oplus @t8 @t297 @t1)) % 2.96/3.15 (define @t299 () (@list @t1 @t8 @t7 @t2)) % 2.96/3.15 (define @t300 () (tptp.c_HOL_Oord__class_Oless @t50 @t43 tptp.tc_nat)) % 2.96/3.15 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t50 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t302 () (@list @t18)) % 2.96/3.15 (define @t303 () (tptp.c_lessequals @t51 @t53 tptp.tc_nat)) % 2.96/3.15 (define @t304 () (not @t303)) % 2.96/3.15 (define @t305 () (tptp.c_lessequals @t51 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t306 () (tptp.c_lessequals @t98 @t136 @t1)) % 2.96/3.15 (define @t307 () (tptp.c_lessequals @t98 @t26 @t1)) % 2.96/3.15 (define @t308 () (@list @t1 @t98 @t26 @t27)) % 2.96/3.15 (define @t309 () (= @t46 @t50)) % 2.96/3.15 (define @t310 () (= @t18 @t19)) % 2.96/3.15 (define @t311 () (not (= @t252 @t251))) % 2.96/3.15 (define @t312 () (not @t205)) % 2.96/3.15 (define @t313 () (tptp.c_lessequals @t120 @t98 @t1)) % 2.96/3.15 (define @t314 () (tptp.c_lessequals @t199 @t27 @t1)) % 2.96/3.15 (define @t315 () (not @t200)) % 2.96/3.15 (define @t316 () (tptp.c_Option_Ooption_ONone @t1)) % 2.96/3.15 (define @t317 () (@var "V_a_H" $$unsorted)) % 2.96/3.15 (define @t318 () (tptp.c_Option_Ooption_OSome @t317 @t1)) % 2.96/3.15 (define @t319 () (@var "V_xa" $$unsorted)) % 2.96/3.15 (define @t320 () (= @t26 @t30)) % 2.96/3.15 (define @t321 () (not (tptp.c_lessequals @t30 @t27 @t1))) % 2.96/3.15 (define @t322 () (not (tptp.c_lessequals @t30 @t26 @t1))) % 2.96/3.15 (define @t323 () (not (= @t49 @t30))) % 2.96/3.15 (define @t324 () (= @t27 @t30)) % 2.96/3.15 (define @t325 () (= @t18 @t50)) % 2.96/3.15 (define @t326 () (not (= @t43 @t50))) % 2.96/3.15 (define @t327 () (tptp.c_HOL_Oord__class_Oless @t7 @t86 @t1)) % 2.96/3.15 (define @t328 () (tptp.c_HOL_Oord__class_Oless @t10 @t6 @t1)) % 2.96/3.15 (define @t329 () (not @t328)) % 2.96/3.15 (define @t330 () (tptp.c_HOL_Oord__class_Oless @t14 @t2 @t1)) % 2.96/3.15 (define @t331 () (= @t58 (tptp.c_Divides_Odiv__class_Omod @t22 @t19 tptp.tc_nat))) % 2.96/3.15 (define @t332 () (not (= @t173 @t171))) % 2.96/3.15 (define @t333 () (= @t4 @t30)) % 2.96/3.15 (define @t334 () (not (= @t190 @t30))) % 2.96/3.15 (define @t335 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 2.96/3.15 (define @t336 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 2.96/3.15 (define @t337 () (@var "V_b_H" $$unsorted)) % 2.96/3.15 (define @t338 () (not (= @t192 (tptp.c_Divides_Odiv__class_Omod @t317 @t7 @t1)))) % 2.96/3.15 (define @t339 () (not (= @t275 (tptp.c_Divides_Odiv__class_Omod @t337 @t7 @t1)))) % 2.96/3.15 (define @t340 () (@list @t1 @t4 @t7 @t337 @t8 @t317)) % 2.96/3.15 (define @t341 () (tptp.c_HOL_Oord__class_Oless @t8 @t30 @t1)) % 2.96/3.15 (define @t342 () (not @t341)) % 2.96/3.15 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t242 @t30 @t1)) % 2.96/3.15 (define @t344 () (not @t343)) % 2.96/3.15 (define @t345 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 2.96/3.15 (define @t346 () (not (= @t51 @t43))) % 2.96/3.15 (define @t347 () (@list @t1 @t4 @t8)) % 2.96/3.15 (define @t348 () (tptp.c_HOL_Oord__class_Oless @t30 @t190 @t1)) % 2.96/3.15 (define @t349 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t30 @t1))) % 2.96/3.15 (define @t350 () (not @t301)) % 2.96/3.15 (define @t351 () (tptp.c_HOL_Oord__class_Oless @t50 @t53 tptp.tc_nat)) % 2.96/3.15 (define @t352 () (not @t153)) % 2.96/3.15 (define @t353 () (not @t307)) % 2.96/3.15 (define @t354 () (tptp.c_lessequals @t27 @t142 @t1)) % 2.96/3.15 (define @t355 () (not @t143)) % 2.96/3.15 (define @t356 () (tptp.c_lessequals @t157 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t357 () (tptp.c_lessequals @t89 @t155 tptp.tc_nat)) % 2.96/3.15 (define @t358 () (@list @t89 @t90 @t46)) % 2.96/3.15 (define @t359 () (@list @t89 @t46 @t90)) % 2.96/3.15 (define @t360 () (tptp.c_HOL_Oord__class_Oless @t98 @t136 @t1)) % 2.96/3.15 (define @t361 () (tptp.c_lessequals @t173 @t171 tptp.tc_nat)) % 2.96/3.15 (define @t362 () (not @t361)) % 2.96/3.15 (define @t363 () (tptp.c_lessequals @t180 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t364 () (tptp.c_lessequals @t18 @t168 tptp.tc_nat)) % 2.96/3.15 (define @t365 () (tptp.c_Divides_Odiv__class_Omod @t23 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t366 () (tptp.c_HOL_Oplus__class_Oplus @t251 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t367 () (@list @t46 @t19 @t18)) % 2.96/3.15 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t120 @t98 @t1)) % 2.96/3.15 (define @t369 () (@var "V_w" $$unsorted)) % 2.96/3.15 (define @t370 () (= @t369 @t27)) % 2.96/3.15 (define @t371 () (= @t26 @t98)) % 2.96/3.15 (define @t372 () (= @t8 @t4)) % 2.96/3.15 (define @t373 () (= @t7 @t2)) % 2.96/3.15 (define @t374 () (tptp.c_HOL_Otimes__class_Otimes @t4 @t7 tptp.tc_nat)) % 2.96/3.15 (define @t375 () (tptp.c_lessequals @t8 @t30 @t1)) % 2.96/3.15 (define @t376 () (not @t375)) % 2.96/3.15 (define @t377 () (tptp.c_HOL_Oord__class_Oless @t39 @t30 @t1)) % 2.96/3.15 (define @t378 () (tptp.c_lessequals @t4 @t30 @t1)) % 2.96/3.15 (define @t379 () (not @t378)) % 2.96/3.15 (define @t380 () (tptp.c_HOL_Otimes__class_Otimes @t30 @t30 @t1)) % 2.96/3.15 (define @t381 () (tptp.c_HOL_Oplus__class_Oplus @t380 @t380 @t1)) % 2.96/3.15 (define @t382 () (tptp.c_HOL_Oplus__class_Oplus @t90 @t157 tptp.tc_nat)) % 2.96/3.15 (define @t383 () (tptp.c_HOL_Ominus__class_Ominus @t96 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t384 () (tptp.c_HOL_Oplus__class_Oplus @t157 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t385 () (tptp.c_HOL_Oplus__class_Oplus @t89 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t386 () (tptp.c_HOL_Ominus__class_Ominus @t385 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t387 () (@var "V_ry" $$unsorted)) % 2.96/3.15 (define @t388 () (@var "V_ly" $$unsorted)) % 2.96/3.15 (define @t389 () (@var "V_rx" $$unsorted)) % 2.96/3.15 (define @t390 () (@var "V_lx" $$unsorted)) % 2.96/3.15 (define @t391 () (tptp.c_HOL_Otimes__class_Otimes @t390 @t389 @t1)) % 2.96/3.15 (define @t392 () (tptp.c_HOL_Otimes__class_Otimes @t389 @t387 @t1)) % 2.96/3.15 (define @t393 () (tptp.c_HOL_Otimes__class_Otimes @t390 @t388 @t1)) % 2.96/3.15 (define @t394 () (tptp.c_HOL_Otimes__class_Otimes @t393 @t392 @t1)) % 2.96/3.15 (define @t395 () (@list @t1 @t390 @t388 @t389 @t387)) % 2.96/3.15 (define @t396 () (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t8 @t1) @t30)) % 2.96/3.15 (define @t397 () (= (tptp.c_HOL_Otimes__class_Otimes @t8 @t30 @t1) @t30)) % 2.96/3.15 (define @t398 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 2.96/3.15 (define @t399 () (tptp.c_HOL_Otimes__class_Otimes @t50 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t400 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t50 tptp.tc_nat)) % 2.96/3.15 (define @t401 () (tptp.c_lessequals @t51 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t402 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t403 () (not (tptp.c_lessequals @t402 @t19 tptp.tc_nat))) % 2.96/3.15 (define @t404 () (tptp.c_lessequals @t46 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t405 () (tptp.c_lessequals @t27 @t99 tptp.tc_nat)) % 2.96/3.15 (define @t406 () (tptp.c_lessequals @t27 @t26 tptp.tc_nat)) % 2.96/3.15 (define @t407 () (tptp.c_Divides_Odiv__class_Omod @t13 @t7 @t1)) % 2.96/3.15 (define @t408 () (not (tptp.class_Divides_Oring__div @t1))) % 2.96/3.15 (define @t409 () (= @t120 @t27)) % 2.96/3.15 (define @t410 () (@var "V_P" $$unsorted)) % 2.96/3.15 (define @t411 () (@var "T_b" $$unsorted)) % 2.96/3.15 (define @t412 () (@var "V_Q" $$unsorted)) % 2.96/3.15 (define @t413 () (tptp.c_HOL_Oord__class_Oless @t27 @t27 @t1)) % 2.96/3.15 (define @t414 () (not @t413)) % 2.96/3.15 (define @t415 () (tptp.c_lessequals @t27 @t27 @t1)) % 2.96/3.15 (define @t416 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t192 @t4 @t1) @t7 @t1)) % 2.96/3.15 (define @t417 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t8 @t275 @t1) @t7 @t1)) % 2.96/3.15 (define @t418 () (tptp.c_Orderings_Oord__class_Omin @t27 @t204 @t1)) % 2.96/3.15 (define @t419 () (tptp.c_HOL_Oplus__class_Oplus @t50 @t51 tptp.tc_nat)) % 2.96/3.15 (define @t420 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t7 @t1))) % 2.96/3.15 (define @t421 () (not (tptp.c_lessequals @t46 @t18 tptp.tc_nat))) % 2.96/3.15 (define @t422 () (not @t404)) % 2.96/3.15 (define @t423 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t424 () (tptp.c_HOL_Ominus__class_Ominus @t18 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t425 () (tptp.c_lessequals @t424 @t423 tptp.tc_nat)) % 2.96/3.15 (define @t426 () (tptp.c_HOL_Oplus__class_Oplus @t89 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t179 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t428 () (@var "V_y_H" $$unsorted)) % 2.96/3.15 (define @t429 () (@var "V_x_H" $$unsorted)) % 2.96/3.15 (define @t430 () (tptp.c_HOL_Ominus__class_Ominus @t429 @t428 @t1)) % 2.96/3.15 (define @t431 () (not @t246)) % 2.96/3.15 (define @t432 () (tptp.c_HOL_Oord__class_Oless @t248 @t247 tptp.tc_nat)) % 2.96/3.15 (define @t433 () (not @t432)) % 2.96/3.15 (define @t434 () (tptp.c_HOL_Oord__class_Oless @t252 @t251 tptp.tc_nat)) % 2.96/3.15 (define @t435 () (not @t434)) % 2.96/3.15 (define @t436 () (not @t253)) % 2.96/3.15 (define @t437 () (tptp.c_HOL_Oord__class_Oless @t7 @t30 @t1)) % 2.96/3.15 (define @t438 () (not @t437)) % 2.96/3.15 (define @t439 () (tptp.c_lessequals @t76 @t75 @t1)) % 2.96/3.15 (define @t440 () (not @t439)) % 2.96/3.15 (define @t441 () (@list @t1 @t7 @t8 @t4)) % 2.96/3.15 (define @t442 () (tptp.c_HOL_Oord__class_Oless @t30 @t7 @t1)) % 2.96/3.15 (define @t443 () (not @t442)) % 2.96/3.15 (define @t444 () (tptp.c_lessequals @t68 @t67 @t1)) % 2.96/3.15 (define @t445 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t19 tptp.tc_nat))) % 2.96/3.15 (define @t446 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t18 tptp.tc_nat))) % 2.96/3.15 (define @t447 () (@var "V_s1" $$unsorted)) % 2.96/3.15 (define @t448 () (@var "V_s0" $$unsorted)) % 2.96/3.15 (define @t449 () (@var "V_c0" $$unsorted)) % 2.96/3.15 (define @t450 () (@var "V_s2" $$unsorted)) % 2.96/3.15 (define @t451 () (@var "V_c1" $$unsorted)) % 2.96/3.15 (define @t452 () (tptp.c_Com_Ocom_OSemi @t449 @t451)) % 2.96/3.15 (define @t453 () (tptp.c_HOL_Oord__class_Oless @t27 @t142 @t1)) % 2.96/3.15 (define @t454 () (not @t217)) % 2.96/3.15 (define @t455 () (not @t351)) % 2.96/3.15 (define @t456 () (= @t27 @t26)) % 2.96/3.15 (define @t457 () (tptp.c_HOL_Ominus__class_Ominus @t27 @t26 @t1)) % 2.96/3.15 (define @t458 () (not (= @t13 @t30))) % 2.96/3.15 (define @t459 () (not (tptp.c_lessequals @t29 @t30 @t1))) % 2.96/3.15 (define @t460 () (tptp.c_HOL_Oord__class_Oless @t199 @t27 @t1)) % 2.96/3.15 (define @t461 () (not @t230)) % 2.96/3.15 (define @t462 () (tptp.c_HOL_Oord__class_Oless @t30 @t39 @t1)) % 2.96/3.15 (define @t463 () (tptp.c_lessequals @t190 @t30 @t1)) % 2.96/3.15 (define @t464 () (not (tptp.c_HOL_Oord__class_Oless @t89 @t46 tptp.tc_nat))) % 2.96/3.15 (define @t465 () (tptp.c_HOL_Oord__class_Oless @t27 @t27 tptp.tc_nat)) % 2.96/3.15 (define @t466 () (tptp.c_HOL_Oplus__class_Oplus @t46 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t467 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t468 () (@var "V_s" $$unsorted)) % 2.96/3.15 (define @t469 () (@var "V_t" $$unsorted)) % 2.96/3.15 (define @t470 () (tptp.c_Natural_Oevalc @t7 @t468 @t469)) % 2.96/3.15 (define @t471 () (tptp.c_lessequals @t13 @t30 @t1)) % 2.96/3.15 (define @t472 () (tptp.c_HOL_Oord__class_Oless @t36 @t261 @t1)) % 2.96/3.15 (define @t473 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 2.96/3.15 (define @t474 () (@list @t27 @t26)) % 2.96/3.15 (define @t475 () (tptp.c_HOL_Oord__class_Oless @t13 @t30 @t1)) % 2.96/3.15 (define @t476 () (tptp.c_lessequals @t36 @t293 @t1)) % 2.96/3.15 (define @t477 () (tptp.c_HOL_Oplus__class_Oplus @t7 @t4 @t1)) % 2.96/3.15 (define @t478 () (tptp.c_lessequals @t35 @t477 @t1)) % 2.96/3.15 (define @t479 () (tptp.c_lessequals @t218 @t48 tptp.tc_nat)) % 2.96/3.15 (define @t480 () (@list @t90 @t89)) % 2.96/3.15 (define @t481 () (= (tptp.c_HOL_Oplus__class_Oplus @t19 @t22 tptp.tc_nat) @t18)) % 2.96/3.15 (define @t482 () (@var "V_c2" $$unsorted)) % 2.96/3.15 (define @t483 () (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi @t451 @t482)))) % 2.96/3.15 (define @t484 () (tptp.c_Com_OWT @t451)) % 2.96/3.15 (define @t485 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 2.96/3.15 (define @t486 () (@var "V_xb" $$unsorted)) % 2.96/3.15 (define @t487 () (@list @t128 @t130)) % 2.96/3.15 (define @t488 () (not @t463)) % 2.96/3.15 (define @t489 () (tptp.c_HOL_Oord__class_Oless @t190 @t30 @t1)) % 2.96/3.15 (define @t490 () (tptp.c_HOL_Oord__class_Oless @t424 @t423 tptp.tc_nat)) % 2.96/3.15 (define @t491 () (tptp.c_lessequals @t242 @t30 @t1)) % 2.96/3.15 (define @t492 () (@var "V_r" $$unsorted)) % 2.96/3.15 (define @t493 () (@var "V_q" $$unsorted)) % 2.96/3.15 (define @t494 () (not (tptp.c_lessequals @t7 @t30 @t1))) % 2.96/3.15 (define @t495 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 2.96/3.15 (define @t496 () (not (= @t29 @t30))) % 2.96/3.15 (define @t497 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 2.96/3.15 (define @t498 () (tptp.c_HOL_Otimes__class_Otimes @t8 @t8 @t1)) % 2.96/3.15 (define @t499 () (tptp.c_Suc @t46)) % 2.96/3.15 (define @t500 () (tptp.c_HOL_Otimes__class_Otimes @t499 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t501 () (tptp.c_HOL_Otimes__class_Otimes @t499 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t502 () (tptp.c_HOL_Oord__class_Oless @t501 @t500 tptp.tc_nat)) % 2.96/3.15 (define @t503 () (= @t4 @t7)) % 2.96/3.15 (define @t504 () (not (= @t39 @t36))) % 2.96/3.15 (define @t505 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 2.96/3.15 (define @t506 () (tptp.c_Suc @t58)) % 2.96/3.15 (define @t507 () (= @t506 @t19)) % 2.96/3.15 (define @t508 () (not (= @t43 @t51))) % 2.96/3.15 (define @t509 () (tptp.c_lessequals @t501 @t500 tptp.tc_nat)) % 2.96/3.15 (define @t510 () (tptp.c_HOL_Oord__class_Oless @t30 @t29 @t1)) % 2.96/3.15 (define @t511 () (tptp.c_Orderings_Oord__class_Omax @t26 @t27 @t1)) % 2.96/3.15 (define @t512 () (tptp.c_HOL_Otimes__class_Otimes @t18 @t18 tptp.tc_nat)) % 2.96/3.15 (define @t513 () (tptp.c_HOL_Oord__class_Oless @t4 @t8 @t1)) % 2.96/3.15 (define @t514 () (tptp.c_HOL_Ominus__class_Ominus @t19 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t515 () (@list @t19 @t90)) % 2.96/3.15 (define @t516 () (tptp.c_HOL_Otimes__class_Otimes @t46 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t517 () (tptp.c_HOL_Otimes__class_Otimes @t46 @t90 tptp.tc_nat)) % 2.96/3.15 (define @t518 () (@list @t46 @t90 @t89)) % 2.96/3.15 (define @t519 () (tptp.c_HOL_Otimes__class_Otimes @t89 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t520 () (tptp.c_HOL_Otimes__class_Otimes @t90 @t46 tptp.tc_nat)) % 2.96/3.15 (define @t521 () (not @t513)) % 2.96/3.15 (define @t522 () (tptp.c_lessequals @t68 @t187 @t1)) % 2.96/3.15 (define @t523 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 2.96/3.15 (define @t524 () (tptp.c_Orderings_Oord__class_Omax @t27 @t122 @t1)) % 2.96/3.15 (define @t525 () (tptp.c_Orderings_Oord__class_Omax @t27 @t98 @t1)) % 2.96/3.15 (define @t526 () (= (tptp.c_HOL_Oplus__class_Oplus @t30 @t8 @t1) @t8)) % 2.96/3.15 (define @t527 () (= (tptp.c_HOL_Oplus__class_Oplus @t8 @t30 @t1) @t8)) % 2.96/3.15 (define @t528 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 2.96/3.15 (define @t529 () (tptp.c_lessequals @t30 @t190 @t1)) % 2.96/3.15 (define @t530 () (not @t529)) % 2.96/3.15 (define @t531 () (@list @t27 @t1)) % 2.96/3.15 (define @t532 () (= @t469 @t468)) % 2.96/3.15 (define @t533 () (tptp.c_HOL_Oord__class_Oless @t30 @t242 @t1)) % 2.96/3.15 (define @t534 () (tptp.c_HOL_Oord__class_Oless @t90 @t157 tptp.tc_nat)) % 2.96/3.15 (define @t535 () (tptp.c_HOL_Oord__class_Oless @t155 @t89 tptp.tc_nat)) % 2.96/3.15 (define @t536 () (tptp.c_HOL_Oord__class_Oless @t36 @t293 @t1)) % 2.96/3.15 (define @t537 () (tptp.c_HOL_Oord__class_Oless @t35 @t477 @t1)) % 2.96/3.15 (define @t538 () (tptp.c_HOL_Oord__class_Oless @t218 @t48 tptp.tc_nat)) % 2.96/3.15 (define @t539 () (tptp.c_Orderings_Oord__class_Omin @t18 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t540 () (tptp.c_HOL_Oord__class_Oless @t19 @t23 tptp.tc_nat)) % 2.96/3.15 (define @t541 () (not @t540)) % 2.96/3.15 (define @t542 () (= @t19 @t18)) % 2.96/3.15 (define @t543 () (tptp.c_HOL_Oord__class_Oless @t50 @t467 tptp.tc_nat)) % 2.96/3.15 (define @t544 () (tptp.c_Orderings_Oord__class_Omin @t136 @t525 @t1)) % 2.96/3.15 (define @t545 () (tptp.c_Orderings_Oord__class_Omax @t27 @t204 @t1)) % 2.96/3.15 (define @t546 () (tptp.c_lessequals @t428 @t429 @t1)) % 2.96/3.15 (define @t547 () (not (= @t457 @t430))) % 2.96/3.15 (define @t548 () (@list @t1 @t27 @t26 @t429 @t428)) % 2.96/3.15 (define @t549 () (tptp.c_HOL_Oord__class_Oless @t429 @t428 @t1)) % 2.96/3.15 (define @t550 () (tptp.c_Suc @t90)) % 2.96/3.15 (define @t551 () (tptp.c_HOL_Otimes__class_Otimes @t393 @t389 @t1)) % 2.96/3.15 (define @t552 () (@list @t1 @t390 @t388 @t389)) % 2.96/3.15 (define @t553 () (tptp.c_HOL_Otimes__class_Otimes @t390 @t392 @t1)) % 2.96/3.15 (define @t554 () (@list @t1 @t390 @t389 @t387)) % 2.96/3.15 (define @t555 () (= (tptp.c_HOL_Otimes__class_Otimes @t39 @t7 @t1) (tptp.c_HOL_Oplus__class_Oplus @t68 @t67 @t1))) % 2.96/3.15 (define @t556 () (tptp.c_lessequals @t104 @t23 tptp.tc_nat)) % 2.96/3.15 (define @t557 () (@var "V_pn" $$unsorted)) % 2.96/3.15 (define @t558 () (tptp.c_Com_Obody @t557)) % 2.96/3.15 (define @t559 () (tptp.c_Com_Ocom_OBODY @t557)) % 2.96/3.15 (define @t560 () (tptp.c_HOL_Oord__class_Oless @t23 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t561 () (@var "V_pname_H" $$unsorted)) % 2.96/3.15 (define @t562 () (tptp.c_Com_Ocom_OBODY @t561)) % 2.96/3.15 (define @t563 () (@list @t561)) % 2.96/3.15 (define @t564 () (not (tptp.c_Natural_Oevaln @t7 @t468 @t19 @t469))) % 2.96/3.15 (define @t565 () (tptp.c_Option_Othe @t558 tptp.tc_Com_Ocom)) % 2.96/3.15 (define @t566 () (tptp.c_Com_Ocom_OBODY @t410)) % 2.96/3.15 (define @t567 () (tptp.c_Com_Obody @t410)) % 2.96/3.15 (define @t568 () (tptp.c_Option_Othe @t567 tptp.tc_Com_Ocom)) % 2.96/3.15 (define @t569 () (tptp.c_lessequals @t18 @t104 tptp.tc_nat)) % 2.96/3.15 (define @t570 () (@var "V_nat_H" $$unsorted)) % 2.96/3.15 (define @t571 () (tptp.c_Suc @t570)) % 2.96/3.15 (define @t572 () (@list @t570)) % 2.96/3.15 (define @t573 () (@var "V_s_H" $$unsorted)) % 2.96/3.15 (define @t574 () (@var "V_nat" $$unsorted)) % 2.96/3.15 (define @t575 () (tptp.c_Suc @t574)) % 2.96/3.15 (define @t576 () (not (= @t575 @t571))) % 2.96/3.15 (define @t577 () (or @t576 (= @t574 @t570))) % 2.96/3.15 (define @t578 () (forall (@list @t574 @t570) @t577)) % 2.96/3.15 (define @t579 () (not (tptp.c_Natural_Oevaln @t566 @t468 @t19 @t447))) % 2.96/3.15 (define @t580 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t410 @t19 @t468 @t447)) % 2.96/3.15 (define @t581 () (@var "V_t1" $$unsorted)) % 2.96/3.15 (define @t582 () (@var "V_n1" $$unsorted)) % 2.96/3.15 (define @t583 () (not (tptp.c_Natural_Oevaln @t451 @t447 @t582 @t581))) % 2.96/3.15 (define @t584 () (@var "V_t2" $$unsorted)) % 2.96/3.15 (define @t585 () (@var "V_n2" $$unsorted)) % 2.96/3.15 (define @t586 () (not (tptp.c_Natural_Oevaln @t482 @t450 @t585 @t584))) % 2.96/3.15 (define @t587 () (tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 @t451 @t482 @t447 @t450 @t581 @t584)) % 2.96/3.15 (define @t588 () (tptp.c_Suc @t43)) % 2.96/3.15 (define @t589 () (tptp.c_HOL_Oplus__class_Oplus @t23 @t19 tptp.tc_nat)) % 2.96/3.15 (define @t590 () (tptp.c_HOL_Oplus__class_Oplus @t18 @t104 tptp.tc_nat)) % 2.96/3.15 (define @t591 () (@var "V_pname" $$unsorted)) % 2.96/3.15 (define @t592 () (tptp.c_HOL_Oord__class_Oless @t23 @t104 tptp.tc_nat)) % 2.96/3.15 (define @t593 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P tptp.v_x) tptp.v_xa))) % 2.96/3.15 (define @t594 () (or @t593 @t593)) % 2.96/3.15 (define @t595 () (tptp.c_Suc tptp.v_n)) % 2.96/3.15 (define @t596 () (tptp.c_Com_Ocom_OBODY tptp.v_pn)) % 2.96/3.15 (define @t597 () (tptp.c_Natural_Oevaln @t596 tptp.v_xa @t595 tptp.v_xb)) % 2.96/3.15 (define @t598 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q tptp.v_x) tptp.v_xb))) % 2.96/3.15 (define @t599 () (not @t598)) % 2.96/3.15 (define @t600 () (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom)) % 2.96/3.15 (define @t601 () (tptp.c_Natural_Oevaln @t600 tptp.v_xa tptp.v_n tptp.v_xb)) % 2.96/3.15 (define @t602 () (or @t599 @t599)) % 2.96/3.15 (define @t603 () (@var "V_Z" $$unsorted)) % 2.96/3.15 (define @t604 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t603) @t468)))) % 2.96/3.15 (define @t605 () (not (tptp.c_Natural_Oevaln @t596 @t468 @t595 @t573))) % 2.96/3.15 (define @t606 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t603) @t573))) % 2.96/3.15 (define @t607 () (@var "V_sa" $$unsorted)) % 2.96/3.15 (define @t608 () (@var "V_Za" $$unsorted)) % 2.96/3.15 (define @t609 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t608) @t607)))) % 2.96/3.15 (define @t610 () (@var "V_s_Ha" $$unsorted)) % 2.96/3.15 (define @t611 () (not (tptp.c_Natural_Oevaln @t600 @t607 tptp.v_n @t610))) % 2.96/3.15 (define @t612 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t608) @t610))) % 2.96/3.15 (define @t613 () (or @t612 @t611 @t609 @t606 @t605 @t604)) % 2.96/3.15 (define @t614 () (@list @t608 @t610 @t607 @t603 @t573 @t468)) % 2.96/3.15 (define @t615 () (forall @t614 @t613)) % 2.96/3.15 (define @t616 () (not @t601)) % 2.96/3.15 (define @t617 () (or @t597 @t616)) % 2.96/3.15 (define @t618 () (@list false false)) % 2.96/3.15 (define @t619 () (not @t593)) % 2.96/3.15 (define @t620 () (not @t597)) % 2.96/3.15 (define @t621 () (or @t598 @t620 @t619)) % 2.96/3.15 (define @t622 () (not @t621)) % 2.96/3.15 (define @t623 () (@list true false false)) % 2.96/3.15 (define @t624 () (or @t606 @t605 @t604)) % 2.96/3.15 (define @t625 () (forall (@list @t603 @t573 @t468) @t624)) % 2.96/3.15 (define @t626 () (not @t625)) % 2.96/3.15 (define @t627 () (@list true)) % 2.96/3.15 (define @t628 () (or @t612 @t611 @t609)) % 2.96/3.15 (define @t629 () (forall (@list @t608 @t610 @t607) @t628)) % 2.96/3.15 (define @t630 () (or @t628 @t624)) % 2.96/3.15 (define @t631 () (@list @t625)) % 2.96/3.15 (define @t632 () (@quantifiers_skolemize @t625 1)) % 2.96/3.15 (define @t633 () (@quantifiers_skolemize @t625 2)) % 2.96/3.15 (define @t634 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 tptp.v_pn @t595 @t633 @t632)) % 2.96/3.15 (define @t635 () (@quantifiers_skolemize @t625 0)) % 2.96/3.15 (define @t636 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_P @t635) @t633))) % 2.96/3.15 (define @t637 () (not @t636)) % 2.96/3.15 (define @t638 () (tptp.c_Natural_Oevaln @t596 @t633 @t595 @t632)) % 2.96/3.15 (define @t639 () (not @t638)) % 2.96/3.15 (define @t640 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.v_Q @t635) @t632))) % 2.96/3.15 (define @t641 () (or @t640 @t639 @t637)) % 2.96/3.15 (define @t642 () (not @t641)) % 2.96/3.15 (define @t643 () (@list @t641)) % 2.96/3.15 (define @t644 () (= @t595 (tptp.c_Suc @t634))) % 2.96/3.15 (define @t645 () (or @t644 @t639)) % 2.96/3.15 (define @t646 () (= tptp.v_n @t634)) % 2.96/3.15 (define @t647 () (not @t644)) % 2.96/3.15 (define @t648 () (or @t647 @t646)) % 2.96/3.15 (define @t649 () (tptp.c_Natural_Oevaln @t600 @t633 @t634 @t632)) % 2.96/3.15 (define @t650 () (or @t649 @t639)) % 2.96/3.15 (define @t651 () (tptp.c_Natural_Oevaln @t600 @t633 tptp.v_n @t632)) % 2.96/3.15 (define @t652 () (and @t649 @t646)) % 2.96/3.15 (define @t653 () (not @t651)) % 2.96/3.15 (define @t654 () (or @t640 @t653 @t637)) % 2.96/3.15 (define @t655 () (not @t654)) % 2.96/3.15 (assume @p1 (forall @t17 (or @t16 @t15 @t12))) % 2.96/3.15 (assume @p2 (forall @t25 (or (= @t24 (tptp.c_Suc @t22)) @t21))) % 2.96/3.15 (assume @p3 (forall @t32 (or @t31 (tptp.c_lessequals @t30 @t29 @t1)))) % 2.96/3.15 (assume @p4 (forall @t34 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t30 @t1) @t8)))) % 2.96/3.15 (assume @p5 (forall @t34 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t8 @t1) @t30)))) % 2.96/3.15 (assume @p6 (forall (@list @t1 @t8 @t7) (or @t37 (= @t36 @t35)))) % 2.96/3.15 (assume @p7 (forall @t41 (or @t40 (= @t39 @t38)))) % 2.96/3.15 (assume @p8 (forall @t25 (= @t43 @t42))) % 2.96/3.15 (assume @p9 (forall (@list @t18 @t45 @t46 @t19) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t18 @t45 tptp.tc_nat) @t48)) @t47 @t44))) % 2.96/3.15 (assume @p10 (forall @t32 (or @t37 (= @t49 (tptp.c_HOL_Oplus__class_Oplus @t26 @t27 @t1))))) % 2.96/3.15 (assume @p11 (forall @t25 (or @t54 @t52))) % 2.96/3.15 (assume @p12 (forall @t25 (or @t54 @t55))) % 2.96/3.15 (assume @p13 (forall @t25 (or (tptp.c_lessequals @t58 @t19 tptp.tc_nat) @t57))) % 2.96/3.15 (assume @p14 (forall @t62 (or (tptp.c_HOL_Oord__class_Oless @t61 @t60 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t18 @t45 tptp.tc_nat)) @t59))) % 2.96/3.15 (assume @p15 (forall (@list @t1 @t27 @t8) (or @t65 @t64 (not (= @t27 (tptp.c_HOL_Oplus__class_Oplus @t27 @t8 @t1))) @t63))) % 2.96/3.15 (assume @p16 (forall @t25 (or (not (= @t43 @t18)) @t66))) % 2.96/3.15 (assume @p17 (forall (@list @t27 @t8) (or (not (= @t27 (tptp.c_HOL_Oplus__class_Oplus @t27 @t8 tptp.tc_nat))) (= @t8 @t50)))) % 2.96/3.15 (assume @p18 (forall @t74 (or @t73 @t72 @t71 @t70))) % 2.96/3.15 (assume @p19 (forall @t74 (or @t73 @t72 @t71 @t78))) % 2.96/3.15 (assume @p20 (forall @t74 (or @t79 @t72 @t71 @t70))) % 2.96/3.15 (assume @p21 (forall @t74 (or @t79 @t72 @t71 @t78))) % 2.96/3.15 (assume @p22 (forall @t83 (or @t82 @t81))) % 2.96/3.15 (assume @p23 (forall @t83 (or @t84 @t81))) % 2.96/3.15 (assume @p24 (forall @t85 (or @t16 @t11 (not @t15)))) % 2.96/3.15 (assume @p25 (forall @t88 (or @t16 @t87 @t12))) % 2.96/3.15 (assume @p26 (forall @t85 (or @t16 @t11 (not @t87)))) % 2.96/3.15 (assume @p27 (forall @t93 (or (tptp.c_HOL_Oord__class_Oless @t90 @t92 tptp.tc_nat) @t91))) % 2.96/3.15 (assume @p28 (forall @t95 (or (tptp.c_HOL_Oord__class_Oless @t90 @t94 tptp.tc_nat) @t91))) % 2.96/3.15 (assume @p29 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t90 @t46 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t96 @t46 tptp.tc_nat))))) % 2.96/3.15 (assume @p30 (forall @t101 (or @t100 (not (tptp.c_HOL_Oord__class_Oless @t27 @t98 tptp.tc_nat))))) % 2.96/3.15 (assume @p31 (forall @t101 (or @t100 @t103))) % 2.96/3.15 (assume @p32 (forall @t108 (or @t107 @t106))) % 2.96/3.15 (assume @p33 (forall @t108 (or @t105 (not @t107)))) % 2.96/3.15 (assume @p34 (forall @t25 (or @t44 @t110))) % 2.96/3.15 (assume @p35 (forall @t25 (or @t109 @t59))) % 2.96/3.15 (assume @p36 (forall @t115 (or @t114 @t40 @t113 @t112 @t71))) % 2.96/3.15 (assume @p37 (forall @t115 (or @t114 @t40 @t113 @t118 @t117))) % 2.96/3.15 (assume @p38 (forall @t125 (or @t124 (= @t123 @t121)))) % 2.96/3.15 (assume @p39 (forall @t127 (or @t124 (= (tptp.c_Orderings_Oord__class_Omin @t122 @t27 @t1) (tptp.c_Orderings_Oord__class_Omax @t126 (tptp.c_Orderings_Oord__class_Omin @t98 @t27 @t1) @t1))))) % 2.96/3.15 (assume @p40 (forall @t135 (or @t134 (= @t129 @t128)))) % 2.96/3.15 (assume @p41 (forall @t135 (or @t134 (= @t132 @t130)))) % 2.96/3.15 (assume @p42 (forall @t137 (or @t124 (tptp.c_lessequals @t26 @t136 @t1)))) % 2.96/3.15 (assume @p43 (forall @t32 (or @t124 (tptp.c_lessequals @t27 @t136 @t1)))) % 2.96/3.15 (assume @p44 (forall @t144 (or @t124 @t143 @t141 @t139))) % 2.96/3.15 (assume @p45 (forall @t127 (or @t124 (tptp.c_lessequals @t122 @t27 @t1) @t148 @t146))) % 2.96/3.15 (assume @p46 (forall @t125 (or @t124 @t153 @t152 @t150))) % 2.96/3.15 (assume @p47 (forall @t159 (or @t158 (not @t156) @t154))) % 2.96/3.15 (assume @p48 (forall @t97 (or @t156 (not @t158) @t154))) % 2.96/3.15 (assume @p49 (forall @t161 (tptp.c_HOL_Oord__class_Oless @t18 (tptp.c_Suc @t160) tptp.tc_nat))) % 2.96/3.15 (assume @p50 (forall @t162 (tptp.c_HOL_Oord__class_Oless @t90 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t18 @t90 tptp.tc_nat)) tptp.tc_nat))) % 2.96/3.15 (assume @p51 (forall @t162 (tptp.c_HOL_Oord__class_Oless @t90 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t90 @t18 tptp.tc_nat)) tptp.tc_nat))) % 2.96/3.15 (assume @p52 (forall @t85 (or @t164 @t163 (= @t14 @t2)))) % 2.96/3.15 (assume @p53 (forall @t85 (or @t164 @t163 (= @t7 @t86)))) % 2.96/3.15 (assume @p54 (forall @t175 (or @t174 (not @t169) @t165))) % 2.96/3.15 (assume @p55 (forall @t177 (or @t169 @t176 @t165))) % 2.96/3.15 (assume @p56 (forall @t175 (or @t174 (not @t181) @t178))) % 2.96/3.15 (assume @p57 (forall @t182 (or @t181 @t176 @t178))) % 2.96/3.15 (assume @p58 (forall (@list @t1 @t8 @t3 @t4 @t2) (or @t164 (= (tptp.c_HOL_Oplus__class_Oplus @t9 @t86 @t1) @t6)))) % 2.96/3.15 (assume @p59 (forall @t189 (or @t73 @t188 @t71 @t186 @t184 @t183))) % 2.96/3.15 (assume @p60 (forall @t194 (or @t33 (= @t193 @t191)))) % 2.96/3.15 (assume @p61 (forall @t32 (or @t124 (tptp.c_lessequals @t120 @t27 @t1)))) % 2.96/3.15 (assume @p62 (forall @t32 (or @t124 (tptp.c_lessequals @t120 @t26 @t1)))) % 2.96/3.15 (assume @p63 (forall @t201 (or @t124 @t200 @t198 @t196))) % 2.96/3.15 (assume @p64 (forall @t125 (or @t124 @t205 @t150 @t203))) % 2.96/3.15 (assume @p65 (forall (@list @t1 @t8 @t3 @t7 @t4) (or @t164 (= @t10 (tptp.c_HOL_Oplus__class_Oplus @t5 @t14 @t1))))) % 2.96/3.15 (assume @p66 (forall @t25 (or @t208 @t207))) % 2.96/3.15 (assume @p67 (forall @t25 (or @t209 @t206))) % 2.96/3.15 (assume @p68 (forall @t125 (or @t212 (= (tptp.c_HOL_Ominus__class_Ominus @t120 @t98 @t1) (tptp.c_Orderings_Oord__class_Omin @t211 @t210 @t1))))) % 2.96/3.15 (assume @p69 (forall @t125 (or @t124 @t217 @t216 @t214))) % 2.96/3.15 (assume @p70 (forall (@list @t89 @t46 @t18) (or (= (tptp.c_HOL_Ominus__class_Ominus @t220 @t18 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t219 @t218 tptp.tc_nat)) @t154))) % 2.96/3.15 (assume @p71 (forall @t115 (or @t114 @t40 @t223 @t118 @t222))) % 2.96/3.15 (assume @p72 (= @t224 @t51)) % 2.96/3.15 (assume @p73 (forall @t41 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t225 @t4 @t1) @t225)))) % 2.96/3.15 (assume @p74 (forall @t34 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t30 @t8 @t1) @t30)))) % 2.96/3.15 (assume @p75 (forall @t231 (or @t124 @t230 @t229 @t227))) % 2.96/3.15 (assume @p76 (forall @t101 (= (tptp.c_HOL_Oplus__class_Oplus @t232 @t233 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t233 @t232 tptp.tc_nat)))) % 2.96/3.15 (assume @p77 (forall (@list @t27 @t7 @t2) (= (tptp.c_HOL_Oplus__class_Oplus @t234 @t235 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t235 @t234 tptp.tc_nat)))) % 2.96/3.15 (assume @p78 (forall (@list @t1 @t27 @t7 @t2) (or @t65 @t64 (= (tptp.c_HOL_Oplus__class_Oplus @t236 @t237 @t1) (tptp.c_HOL_Oplus__class_Oplus @t237 @t236 @t1))))) % 2.96/3.15 (assume @p79 (forall @t125 (or @t65 @t64 (= @t240 (tptp.c_HOL_Oplus__class_Oplus @t239 @t238 @t1))))) % 2.96/3.15 (assume @p80 (forall @t241 (or @t66 (not (tptp.c_HOL_Oord__class_Oless @t19 @t51 tptp.tc_nat))))) % 2.96/3.15 (assume @p81 (forall @t34 (or @t244 @t116 (not @t243)))) % 2.96/3.15 (assume @p82 (forall @t34 (or @t244 @t243 @t117))) % 2.96/3.15 (assume @p83 (forall @t32 (or @t124 (= (tptp.c_Orderings_Oord__class_Omin @t27 @t120 @t1) @t120)))) % 2.96/3.15 (assume @p84 (forall @t175 (or (= @t245 (tptp.c_HOL_Ominus__class_Ominus @t18 @t168 tptp.tc_nat)) @t165))) % 2.96/3.15 (assume @p85 (forall @t175 (or (= @t245 (tptp.c_HOL_Ominus__class_Ominus @t180 @t19 tptp.tc_nat)) @t178))) % 2.96/3.15 (assume @p86 (forall @t41 (or @t84 (= (tptp.c_HOL_Oplus__class_Oplus @t13 @t4 @t1) @t8)))) % 2.96/3.15 (assume @p87 (forall @t250 (or @t249 @t246))) % 2.96/3.15 (assume @p88 (forall @t254 (or @t253 @t246))) % 2.96/3.15 (assume @p89 (forall @t257 (or (tptp.c_lessequals @t155 @t256 tptp.tc_nat) @t255 @t165))) % 2.96/3.15 (assume @p90 (forall @t189 (or @t262 (tptp.c_lessequals @t36 @t261 @t1) @t260 @t259))) % 2.96/3.15 (assume @p91 (forall @t25 (or @t263 @t207))) % 2.96/3.15 (assume @p92 (forall @t25 (or @t206 @t264))) % 2.96/3.15 (assume @p93 (forall @t268 (or (not @t267) @t266))) % 2.96/3.15 (assume @p94 (forall @t32 (or @t37 (= @t238 (tptp.c_HOL_Otimes__class_Otimes @t26 @t27 @t1))))) % 2.96/3.15 (assume @p95 (forall @t25 (= @t53 @t269))) % 2.96/3.15 (assume @p96 (forall @t271 (or @t244 @t270))) % 2.96/3.15 (assume @p97 (= (tptp.c_HOL_Oplus__class_Oplus @t50 @t50 tptp.tc_nat) @t50)) % 2.96/3.15 (assume @p98 (forall @t271 (or @t273 @t272 @t272 @t270))) % 2.96/3.15 (assume @p99 (forall @t41 (or @t37 (= @t190 @t274)))) % 2.96/3.15 (assume @p100 (forall @t25 (tptp.c_HOL_Oord__class_Oless @t22 @t23 tptp.tc_nat))) % 2.96/3.15 (assume @p101 (forall @t74 (or @t33 (= @t276 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t192 @t275 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p102 (forall @t41 (or @t273 (tptp.c_lessequals @t30 @t39 @t1) @t278 @t117))) % 2.96/3.15 (assume @p103 (forall @t282 (or @t281 @t213 @t216 @t280))) % 2.96/3.15 (assume @p104 (forall @t231 (or @t285 @t226 @t229 @t284))) % 2.96/3.15 (assume @p105 (forall @t32 (or @t124 @t286 @t203))) % 2.96/3.15 (assume @p106 (forall @t32 (or @t124 (not @t286) @t202))) % 2.96/3.15 (assume @p107 (forall @t32 (or @t124 (= @t136 @t27) @t146))) % 2.96/3.15 (assume @p108 (forall @t125 (or @t37 (= @t288 (tptp.c_HOL_Oplus__class_Oplus @t49 @t98 @t1))))) % 2.96/3.15 (assume @p109 (forall @t125 (or @t82 (= @t288 (tptp.c_HOL_Oplus__class_Oplus @t26 @t289 @t1))))) % 2.96/3.15 (assume @p110 (forall @t101 (= (tptp.c_HOL_Oplus__class_Oplus @t27 @t99 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t26 @t290 tptp.tc_nat)))) % 2.96/3.15 (assume @p111 (forall @t292 (= (tptp.c_HOL_Oplus__class_Oplus @t43 @t46 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t18 @t291 tptp.tc_nat)))) % 2.96/3.15 (assume @p112 (forall @t74 (or @t40 @t296))) % 2.96/3.15 (assume @p113 (forall @t74 (or @t40 (= @t294 (tptp.c_HOL_Oplus__class_Oplus @t4 @t36 @t1))))) % 2.96/3.15 (assume @p114 (forall @t74 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t296))) % 2.96/3.15 (assume @p115 (forall @t299 (or @t37 (= @t298 (tptp.c_HOL_Oplus__class_Oplus @t36 @t2 @t1))))) % 2.96/3.15 (assume @p116 (forall @t74 (or @t37 (= @t295 (tptp.c_HOL_Oplus__class_Oplus @t36 @t4 @t1))))) % 2.96/3.15 (assume @p117 (forall @t299 (or @t37 (= @t298 (tptp.c_HOL_Oplus__class_Oplus @t7 (tptp.c_HOL_Oplus__class_Oplus @t8 @t2 @t1) @t1))))) % 2.96/3.15 (assume @p118 (forall @t74 (or @t37 @t296))) % 2.96/3.15 (assume @p119 (forall @t108 (or @t56 @t301 (not @t300)))) % 2.96/3.15 (assume @p120 (forall @t302 (not (tptp.c_HOL_Oord__class_Oless @t18 @t50 tptp.tc_nat)))) % 2.96/3.15 (assume @p121 (forall @t241 (not (tptp.c_HOL_Oord__class_Oless @t19 @t50 tptp.tc_nat)))) % 2.96/3.15 (assume @p122 (forall @t108 (or @t305 @t304))) % 2.96/3.15 (assume @p123 (forall @t34 (or @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t30 @t1) @t8)))) % 2.96/3.15 (assume @p124 (forall @t34 (or @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t8 @t1) @t30)))) % 2.96/3.15 (assume @p125 (forall @t302 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t18 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p126 (forall @t302 (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t50 tptp.tc_nat) @t18))) % 2.96/3.15 (assume @p127 (forall @t83 (or @t65 @t64 @t81))) % 2.96/3.15 (assume @p128 (forall @t74 (or @t33 (= @t191 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t192 @t275 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p129 (forall @t308 (or @t124 @t307 @t147 (not @t306)))) % 2.96/3.15 (assume @p130 (forall (@list @t89 @t90 @t166 @t18) (or @t178 (= @t173 (tptp.c_HOL_Oplus__class_Oplus @t170 @t180 tptp.tc_nat))))) % 2.96/3.15 (assume @p131 (forall @t254 (or @t311 @t310 @t309))) % 2.96/3.15 (assume @p132 (forall @t254 (or @t311 @t309 @t310))) % 2.96/3.15 (assume @p133 (forall @t250 (or (not (= @t248 @t247)) @t309 @t310))) % 2.96/3.15 (assume @p134 (forall @t282 (or @t124 @t149 @t312))) % 2.96/3.15 (assume @p135 (forall @t125 (or @t124 @t202 @t312))) % 2.96/3.15 (assume @p136 (forall @t125 (or @t124 @t313 @t152))) % 2.96/3.15 (assume @p137 (forall @t125 (or @t124 @t313 @t150))) % 2.96/3.15 (assume @p138 (forall @t144 (or @t124 @t314 @t141))) % 2.96/3.15 (assume @p139 (forall @t144 (or @t124 @t314 @t139))) % 2.96/3.15 (assume @p140 (forall (@list @t1 @t27 @t4 @t8) (or @t124 @t197 @t315))) % 2.96/3.15 (assume @p141 (forall @t201 (or @t124 @t195 @t315))) % 2.96/3.15 (assume @p142 (forall @t241 (= (tptp.c_Orderings_Oord__class_Omin @t50 @t19 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p143 (forall @t241 (= (tptp.c_Orderings_Oord__class_Omin @t19 @t50 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p144 (forall (@list @t317 @t1) (not (= @t318 @t316)))) % 2.96/3.15 (assume @p145 (forall (@list @t319 @t1) (not (= (tptp.c_Option_Ooption_OSome @t319 @t1) @t316)))) % 2.96/3.15 (assume @p146 (forall (@list @t8 @t1 @t317) (or (not (= (tptp.c_Option_Ooption_OSome @t8 @t1) @t318)) (= @t8 @t317)))) % 2.96/3.15 (assume @p147 (forall @t32 (or @t273 @t323 @t322 @t321 @t320))) % 2.96/3.15 (assume @p148 (forall @t32 (or @t273 @t323 @t322 @t321 @t324))) % 2.96/3.15 (assume @p149 (forall @t25 (or @t326 @t325))) % 2.96/3.15 (assume @p150 (forall @t25 (or @t326 @t66))) % 2.96/3.15 (assume @p151 (forall @t34 (or @t244 (not (= @t242 @t30)) @t63))) % 2.96/3.15 (assume @p152 (forall @t85 (or @t16 @t328 (not @t327)))) % 2.96/3.15 (assume @p153 (forall @t88 (or @t16 @t327 @t329))) % 2.96/3.15 (assume @p154 (forall @t85 (or @t16 @t328 (not @t330)))) % 2.96/3.15 (assume @p155 (forall @t17 (or @t16 @t330 @t329))) % 2.96/3.15 (assume @p156 (forall @t25 (or @t331 @t21))) % 2.96/3.15 (assume @p157 (forall @t175 (or @t332 @t178 (= @t180 @t19)))) % 2.96/3.15 (assume @p158 (forall @t175 (or @t332 @t165 (= @t18 @t168)))) % 2.96/3.15 (assume @p159 (forall @t127 (or @t124 @t151 @t149 (not @t313)))) % 2.96/3.15 (assume @p160 (forall (@list @t90 @t89 @t166 @t19) (or @t165 (= (tptp.c_HOL_Oplus__class_Oplus @t172 @t168 tptp.tc_nat) @t171)))) % 2.96/3.15 (assume @p161 (forall @t41 (or @t335 @t334 @t333 @t63))) % 2.96/3.15 (assume @p162 (forall @t41 (or @t336 @t334 @t333 @t63))) % 2.96/3.15 (assume @p163 (forall @t25 (or (not (= @t53 @t50)) @t66 @t325))) % 2.96/3.15 (assume @p164 (forall @t41 (or @t336 @t334 @t63 @t333))) % 2.96/3.15 (assume @p165 (forall @t340 (or @t33 @t339 @t338 (= @t276 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t317 @t337 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p166 (tptp.c_HOL_Oord__class_Oless @t50 @t51 tptp.tc_nat)) % 2.96/3.15 (assume @p167 (forall @t34 (or @t244 @t343 @t342))) % 2.96/3.15 (assume @p168 (forall @t34 (or @t244 @t341 @t344))) % 2.96/3.15 (assume @p169 (forall @t34 (or @t345 @t341 @t344))) % 2.96/3.15 (assume @p170 (forall @t34 (or @t345 @t343 @t342))) % 2.96/3.15 (assume @p171 (forall @t25 (or @t346 @t55 @t52))) % 2.96/3.15 (assume @p172 (forall @t25 (or @t346 @t325 @t66))) % 2.96/3.15 (assume @p173 (forall @t347 (or @t73 @t185 @t222 (not (tptp.c_HOL_Oord__class_Oless @t30 @t274 @t1))))) % 2.96/3.15 (assume @p174 (forall @t347 (or @t73 @t185 @t222 (not @t348)))) % 2.96/3.15 (assume @p175 (forall @t41 (or @t73 @t348 @t186 @t222))) % 2.96/3.15 (assume @p176 (forall @t41 (or @t31 @t348 @t349 @t342))) % 2.96/3.15 (assume @p177 (forall @t25 (or @t351 @t57 @t350))) % 2.96/3.15 (assume @p178 (forall @t127 (or @t124 @t151 @t352))) % 2.96/3.15 (assume @p179 (forall @t282 (or @t124 @t149 @t352))) % 2.96/3.15 (assume @p180 (forall @t231 (or @t124 @t306 @t353))) % 2.96/3.15 (assume @p181 (forall @t231 (or @t124 @t306 @t148))) % 2.96/3.15 (assume @p182 (forall @t201 (or @t124 @t354 @t198))) % 2.96/3.15 (assume @p183 (forall @t201 (or @t124 @t354 @t196))) % 2.96/3.15 (assume @p184 (forall (@list @t1 @t4 @t27 @t8) (or @t124 @t140 @t355))) % 2.96/3.15 (assume @p185 (forall (@list @t1 @t8 @t27 @t4) (or @t124 @t138 @t355))) % 2.96/3.15 (assume @p186 (forall @t358 (or @t357 (not @t356)))) % 2.96/3.15 (assume @p187 (forall @t359 (or @t356 (not @t357)))) % 2.96/3.15 (assume @p188 (forall @t308 (or @t124 @t228 @t226 (not @t360)))) % 2.96/3.15 (assume @p189 (forall @t25 (= (tptp.c_HOL_Otimes__class_Otimes @t18 @t104 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t18 @t53 tptp.tc_nat)))) % 2.96/3.15 (assume @p190 (forall @t25 (= (tptp.c_HOL_Otimes__class_Otimes @t23 @t19 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t19 @t53 tptp.tc_nat)))) % 2.96/3.15 (assume @p191 (forall @t32 (or @t31 (not (tptp.c_HOL_Oord__class_Oless @t29 @t30 @t1))))) % 2.96/3.15 (assume @p192 (forall @t182 (or @t363 @t362 @t178))) % 2.96/3.15 (assume @p193 (forall @t175 (or @t361 (not @t363) @t178))) % 2.96/3.15 (assume @p194 (forall @t177 (or @t364 @t362 @t165))) % 2.96/3.15 (assume @p195 (forall @t175 (or @t361 (not @t364) @t165))) % 2.96/3.15 (assume @p196 (forall @t367 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t366) @t19 tptp.tc_nat) @t365))) % 2.96/3.15 (assume @p197 (forall @t127 (or @t124 @t215 @t213 (not @t368)))) % 2.96/3.15 (assume @p198 (forall (@list @t1 @t369 @t26 @t27 @t98) (or @t65 @t64 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t369 @t26 @t1) @t239 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t369 @t98 @t1) @t238 @t1))) @t371 @t370))) % 2.96/3.15 (assume @p199 (forall @t189 (or @t65 @t64 (not (= (tptp.c_HOL_Oplus__class_Oplus @t68 @t187 @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t8 @t2 @t1) @t67 @t1))) @t373 @t372))) % 2.96/3.15 (assume @p200 (forall (@list @t8 @t7 @t4 @t2) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t8 @t7 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t4 @t2 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t8 @t2 tptp.tc_nat) @t374 tptp.tc_nat))) @t373 @t372))) % 2.96/3.15 (assume @p201 (forall (@list @t369 @t26 @t27 @t98) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t369 @t26 tptp.tc_nat) @t233 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t369 @t98 tptp.tc_nat) @t232 tptp.tc_nat))) @t371 @t370))) % 2.96/3.15 (assume @p202 (forall @t41 (or @t273 @t377 @t349 @t376))) % 2.96/3.15 (assume @p203 (forall @t41 (or @t273 @t377 @t379 @t342))) % 2.96/3.15 (assume @p204 (forall @t271 (or @t31 (tptp.c_lessequals @t381 @t30 @t1)))) % 2.96/3.15 (assume @p205 (forall @t340 (or @t33 @t339 @t338 (= @t191 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t317 @t337 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p206 (forall @t159 (or (= @t383 @t382) @t154))) % 2.96/3.15 (assume @p207 (forall @t358 (or (= @t386 @t384) @t154))) % 2.96/3.15 (assume @p208 (= (tptp.c_HOL_Otimes__class_Otimes @t51 @t51 tptp.tc_nat) @t51)) % 2.96/3.15 (assume @p209 (forall @t395 (or @t37 (= @t394 (tptp.c_HOL_Otimes__class_Otimes @t391 (tptp.c_HOL_Otimes__class_Otimes @t388 @t387 @t1) @t1))))) % 2.96/3.15 (assume @p210 (forall @t395 (or @t37 (= @t394 (tptp.c_HOL_Otimes__class_Otimes @t390 (tptp.c_HOL_Otimes__class_Otimes @t388 @t392 @t1) @t1))))) % 2.96/3.15 (assume @p211 (forall @t395 (or @t37 (= @t394 (tptp.c_HOL_Otimes__class_Otimes @t389 (tptp.c_HOL_Otimes__class_Otimes @t393 @t387 @t1) @t1))))) % 2.96/3.15 (assume @p212 (forall @t34 (or @t37 @t396))) % 2.96/3.15 (assume @p213 (forall @t34 (or @t37 @t397))) % 2.96/3.15 (assume @p214 (forall @t34 (or @t335 @t397))) % 2.96/3.15 (assume @p215 (forall (@list @t1 @t4) (or @t335 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t4 @t1) @t30)))) % 2.96/3.15 (assume @p216 (forall @t34 (or @t398 @t397))) % 2.96/3.15 (assume @p217 (forall @t34 (or @t398 @t396))) % 2.96/3.15 (assume @p218 (forall @t241 (= @t399 @t50))) % 2.96/3.15 (assume @p219 (forall @t302 (= @t400 @t50))) % 2.96/3.15 (assume @p220 (forall @t83 (or @t37 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t27 @t1) @t30)))) % 2.96/3.15 (assume @p221 (forall @t159 (or (= (tptp.c_HOL_Ominus__class_Ominus @t90 @t157 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t155 @t89 tptp.tc_nat)) @t154))) % 2.96/3.15 (assume @p222 (forall @t302 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t51 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p223 (forall @t25 (or @t401 @t304))) % 2.96/3.15 (assume @p224 (forall (@list @t1 @t27 @t26 @t98 @t166) (or @t82 (not (= @t288 (tptp.c_HOL_Oplus__class_Oplus @t26 @t166 @t1))) (= @t289 @t166)))) % 2.96/3.15 (assume @p225 (forall @t93 (or (tptp.c_lessequals @t90 @t92 tptp.tc_nat) @t165))) % 2.96/3.15 (assume @p226 (forall @t95 (or (tptp.c_lessequals @t90 @t94 tptp.tc_nat) @t165))) % 2.96/3.15 (assume @p227 (forall @t367 (or @t404 @t403))) % 2.96/3.15 (assume @p228 (forall @t292 (or @t206 @t403))) % 2.96/3.15 (assume @p229 (forall @t101 (or @t405 (not (tptp.c_lessequals @t27 @t98 tptp.tc_nat))))) % 2.96/3.15 (assume @p230 (forall @t101 (or @t405 (not @t406)))) % 2.96/3.15 (assume @p231 (forall @t74 (or @t408 (= @t407 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t192 @t4 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p232 (forall @t74 (or @t408 (= @t407 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t8 @t275 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p233 (forall @t32 (or @t124 @t409 @t203))) % 2.96/3.15 (assume @p234 (forall @t32 (or @t124 (not @t409) @t202))) % 2.96/3.15 (assume @p235 (forall @t32 (or @t124 (= @t120 @t26) @t146))) % 2.96/3.15 (assume @p236 (forall @t125 (or @t212 (= (tptp.c_HOL_Ominus__class_Ominus @t136 @t98 @t1) (tptp.c_Orderings_Oord__class_Omax @t211 @t210 @t1))))) % 2.96/3.15 (assume @p237 (forall (@list @t410 @t1) (= (tptp.c_COMBI @t410 @t1) @t410))) % 2.96/3.15 (assume @p238 (forall (@list @t410 @t412 @t1 @t411) (= (tptp.c_COMBK @t410 @t412 @t1 @t411) @t410))) % 2.96/3.15 (assume @p239 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t58 @t19 tptp.tc_nat) @t57))) % 2.96/3.15 (assume @p240 (forall @t32 (or @t124 @t279 @t145))) % 2.96/3.15 (assume @p241 (forall @t83 (or @t124 (not @t415) @t414))) % 2.96/3.15 (assume @p242 (forall @t83 (or @t124 @t413 @t415))) % 2.96/3.15 (assume @p243 (forall @t32 (or @t124 @t280 @t146))) % 2.96/3.15 (assume @p244 (forall @t137 (or @t124 @t145 @t279))) % 2.96/3.15 (assume @p245 (forall @t32 (or @t124 @t203 @t284))) % 2.96/3.15 (assume @p246 (forall @t137 (or @t124 @t283 @t202))) % 2.96/3.15 (assume @p247 (forall @t137 (or @t281 @t146 @t280))) % 2.96/3.15 (assume @p248 (forall @t74 (or @t33 (= @t276 @t416)))) % 2.96/3.15 (assume @p249 (forall @t74 (or @t33 (= @t276 @t417)))) % 2.96/3.15 (assume @p250 (forall @t125 (or @t124 (= (tptp.c_Orderings_Oord__class_Omin @t120 @t98 @t1) @t418)))) % 2.96/3.15 (assume @p251 (forall @t125 (or @t124 (= @t418 (tptp.c_Orderings_Oord__class_Omin @t26 @t119 @t1))))) % 2.96/3.15 (assume @p252 (= @t51 @t419)) % 2.96/3.15 (assume @p253 (forall @t115 (or @t114 @t40 @t223 @t420 @t117))) % 2.96/3.15 (assume @p254 (forall @t62 (or (tptp.c_lessequals @t61 @t60 tptp.tc_nat) @t207))) % 2.96/3.15 (assume @p255 (forall (@list @t18 @t45 @t19) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t18 @t45 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t19 @t45 tptp.tc_nat) tptp.tc_nat) @t207))) % 2.96/3.15 (assume @p256 (forall @t250 (or @t425 @t207 @t422 @t421))) % 2.96/3.15 (assume @p257 (forall @t292 (or @t206 (not @t425) @t422 @t421))) % 2.96/3.15 (assume @p258 (forall @t108 (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t42 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p259 (forall @t159 (= @t427 (tptp.c_HOL_Ominus__class_Ominus @t90 @t426 tptp.tc_nat)))) % 2.96/3.15 (assume @p260 (forall (@list @t1 @t26) (not (= @t316 (tptp.c_Option_Ooption_OSome @t26 @t1))))) % 2.96/3.15 (assume @p261 (forall (@list @t1 @t317) (not (= @t316 @t318)))) % 2.96/3.15 (assume @p262 (forall (@list @t1 @t319 @t26 @t27) (or @t82 (not (= (tptp.c_HOL_Ominus__class_Ominus @t319 @t26 @t1) @t80)) (= @t319 @t26)))) % 2.96/3.15 (assume @p263 (forall (@list @t1 @t27 @t429 @t428) (or @t82 (not (= @t80 @t430)) (= @t429 @t428)))) % 2.96/3.15 (assume @p264 (forall @t250 (or (not (= @t424 @t423)) @t422 @t421 @t310))) % 2.96/3.15 (assume @p265 (forall @t32 (or @t124 (= (tptp.c_Orderings_Oord__class_Omin @t27 @t136 @t1) @t27)))) % 2.96/3.15 (assume @p266 (forall @t254 (or @t311 @t431 @t310))) % 2.96/3.15 (assume @p267 (forall @t25 (or @t346 @t55 @t66))) % 2.96/3.15 (assume @p268 (forall @t25 (or @t346 @t325 @t52))) % 2.96/3.15 (assume @p269 (forall @t254 (or @t246 @t433))) % 2.96/3.15 (assume @p270 (forall @t254 (or @t246 @t435))) % 2.96/3.15 (assume @p271 (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP)) % 2.96/3.15 (assume @p272 (forall @t292 (or @t206 @t431 (not @t249)))) % 2.96/3.15 (assume @p273 (forall @t292 (or @t206 @t431 @t436))) % 2.96/3.15 (assume @p274 (forall @t292 (or @t206 @t436 @t431))) % 2.96/3.15 (assume @p275 (forall @t254 (or @t253 @t207 @t431))) % 2.96/3.15 (assume @p276 (forall @t115 (or @t31 @t111 @t440 @t438))) % 2.96/3.15 (assume @p277 (forall @t441 (or @t31 @t439 @t112 @t438))) % 2.96/3.15 (assume @p278 (forall @t74 (or @t31 @t258 @t440 @t443))) % 2.96/3.15 (assume @p279 (forall @t441 (or @t31 @t439 @t259 @t443))) % 2.96/3.15 (assume @p280 (forall @t74 (or @t73 @t258 @t443 @t440))) % 2.96/3.15 (assume @p281 (forall @t74 (or @t73 @t258 @t443 (not @t444)))) % 2.96/3.15 (assume @p282 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t51 @t53 tptp.tc_nat) @t446 @t445))) % 2.96/3.15 (assume @p283 (forall (@list @t449 @t451 @t448 @t450 @t447) (or (tptp.c_Natural_Oevalc @t452 @t448 @t450) (not (tptp.c_Natural_Oevalc @t451 @t447 @t450)) (not (tptp.c_Natural_Oevalc @t449 @t448 @t447))))) % 2.96/3.15 (assume @p284 (forall @t241 (= (tptp.c_HOL_Ominus__class_Ominus @t50 @t19 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p285 (forall @t250 (= (tptp.c_HOL_Ominus__class_Ominus @t402 @t291 tptp.tc_nat) @t22))) % 2.96/3.15 (assume @p286 (forall @t254 (= (tptp.c_HOL_Ominus__class_Ominus @t218 @t48 tptp.tc_nat) @t22))) % 2.96/3.15 (assume @p287 (forall @t241 (tptp.c_HOL_Oord__class_Oless @t50 @t104 tptp.tc_nat))) % 2.96/3.15 (assume @p288 (forall @t268 (tptp.c_HOL_Oord__class_Oless @t50 @t265 tptp.tc_nat))) % 2.96/3.15 (assume @p289 (forall @t201 (or @t124 @t453 (not (tptp.c_HOL_Oord__class_Oless @t27 @t8 @t1))))) % 2.96/3.15 (assume @p290 (forall @t201 (or @t124 @t453 (not (tptp.c_HOL_Oord__class_Oless @t27 @t4 @t1))))) % 2.96/3.15 (assume @p291 (forall @t231 (or @t124 @t360 @t227))) % 2.96/3.15 (assume @p292 (forall @t231 (or @t124 @t360 @t229))) % 2.96/3.15 (assume @p293 (forall @t282 (or @t124 @t213 @t454))) % 2.96/3.15 (assume @p294 (forall @t127 (or @t124 @t215 @t454))) % 2.96/3.15 (assume @p295 (forall @t32 (or @t124 (= @t120 @t126)))) % 2.96/3.15 (assume @p296 (forall (@list @t90 @t166 @t89 @t46) (= (tptp.c_HOL_Oplus__class_Oplus @t172 (tptp.c_HOL_Oplus__class_Oplus @t170 @t46 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t96 @t166 tptp.tc_nat) @t46 tptp.tc_nat)))) % 2.96/3.15 (assume @p297 (forall (@list @t1 @t8 @t3 @t4 @t7) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.c_HOL_Oplus__class_Oplus @t9 (tptp.c_HOL_Oplus__class_Oplus @t5 @t7 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t39 @t3 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p298 (forall @t25 (tptp.c_lessequals @t22 @t18 tptp.tc_nat))) % 2.96/3.15 (assume @p299 (forall @t108 (or @t56 @t455))) % 2.96/3.15 (assume @p300 (forall @t25 (or @t301 @t455))) % 2.96/3.15 (assume @p301 (forall @t41 (or @t273 @t377 @t349 @t342))) % 2.96/3.15 (assume @p302 (forall @t32 (or @t65 @t64 (not (= @t457 @t30)) @t456))) % 2.96/3.15 (assume @p303 (forall @t41 (or @t84 @t458 @t372))) % 2.96/3.15 (assume @p304 (forall @t41 (or @t82 @t458 @t372))) % 2.96/3.15 (assume @p305 (forall @t32 (or @t31 @t324 @t459))) % 2.96/3.15 (assume @p306 (forall @t137 (or @t31 @t320 @t459))) % 2.96/3.15 (assume @p307 (forall @t254 (= (tptp.c_HOL_Otimes__class_Otimes @t46 @t22 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t252 @t251 tptp.tc_nat)))) % 2.96/3.15 (assume @p308 (forall @t292 (= (tptp.c_HOL_Otimes__class_Otimes @t22 @t46 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t248 @t247 tptp.tc_nat)))) % 2.96/3.15 (assume @p309 (forall @t144 (or @t124 @t460 (not (tptp.c_HOL_Oord__class_Oless @t8 @t27 @t1))))) % 2.96/3.15 (assume @p310 (forall @t144 (or @t124 @t460 (not (tptp.c_HOL_Oord__class_Oless @t4 @t27 @t1))))) % 2.96/3.15 (assume @p311 (forall @t231 (or @t124 @t226 @t461))) % 2.96/3.15 (assume @p312 (forall @t308 (or @t124 @t228 @t461))) % 2.96/3.15 (assume @p313 (forall @t125 (or @t124 @t368 @t214))) % 2.96/3.15 (assume @p314 (forall @t125 (or @t124 @t368 @t216))) % 2.96/3.15 (assume @p315 (forall @t250 (or (= (tptp.c_HOL_Ominus__class_Ominus @t424 @t423 tptp.tc_nat) @t22) @t422 @t421))) % 2.96/3.15 (assume @p316 (forall @t159 (= @t427 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t90 @t46 tptp.tc_nat) @t89 tptp.tc_nat)))) % 2.96/3.15 (assume @p317 (forall @t241 (tptp.c_lessequals @t50 @t19 tptp.tc_nat))) % 2.96/3.15 (assume @p318 (forall @t41 (or @t273 @t462 @t186 @t117))) % 2.96/3.15 (assume @p319 (forall @t41 (or @t273 @t462 @t278 @t222))) % 2.96/3.15 (assume @p320 (forall (@list @t8 @t7 @t4) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t8 @t7 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t4 @t7 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t7 @t8 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t8 @t4 tptp.tc_nat))))) % 2.96/3.15 (assume @p321 (forall @t41 (or @t31 @t463 @t379 @t117))) % 2.96/3.15 (assume @p322 (forall @t41 (or @t31 @t463 @t278 @t376))) % 2.96/3.15 (assume @p323 (forall (@list @t89 @t19 @t46) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t89 @t19 tptp.tc_nat) @t46 tptp.tc_nat) @t464))) % 2.96/3.15 (assume @p324 (forall @t25 (or (= @t58 @t18) @t59))) % 2.96/3.15 (assume @p325 (= @t51 @t224)) % 2.96/3.15 (assume @p326 (forall @t32 (or @t281 @t279 @t145 @t203))) % 2.96/3.15 (assume @p327 (forall @t268 (not @t465))) % 2.96/3.15 (assume @p328 (forall @t241 (not (tptp.c_HOL_Oord__class_Oless @t19 @t19 tptp.tc_nat)))) % 2.96/3.15 (assume @p329 (forall @t83 (or @t285 @t414))) % 2.96/3.15 (assume @p330 (forall @t83 (or @t124 @t414))) % 2.96/3.15 (assume @p331 (forall @t83 (or @t281 @t414))) % 2.96/3.15 (assume @p332 (forall (@list @t90 @t46) (or (not (tptp.c_lessequals @t90 @t466 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t466 @t90 tptp.tc_nat) @t46)))) % 2.96/3.15 (assume @p333 (forall @t83 (or @t124 (= (tptp.c_Orderings_Oord__class_Omin @t27 @t27 @t1) @t27)))) % 2.96/3.15 (assume @p334 (forall @t241 (or @t66 (not (tptp.c_lessequals @t19 @t50 tptp.tc_nat))))) % 2.96/3.15 (assume @p335 (forall @t41 (or @t273 @t462 @t186 @t222))) % 2.96/3.15 (assume @p336 (forall @t108 (tptp.c_lessequals @t19 @t42 tptp.tc_nat))) % 2.96/3.15 (assume @p337 (forall @t108 (tptp.c_lessequals @t19 @t43 tptp.tc_nat))) % 2.96/3.15 (assume @p338 (forall @t161 (tptp.c_lessequals @t18 @t160 tptp.tc_nat))) % 2.96/3.15 (assume @p339 (forall @t108 (= (tptp.c_HOL_Oplus__class_Oplus @t467 @t18 tptp.tc_nat) (tptp.c_Orderings_Oord__class_Omax @t19 @t18 tptp.tc_nat)))) % 2.96/3.15 (assume @p340 (forall (@list @t468) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t468 @t468))) % 2.96/3.15 (assume @p341 (forall @t137 (or @t345 @t283 @t279 @t456))) % 2.96/3.15 (assume @p342 (forall @t32 (or @t124 @t456 @t283 @t279))) % 2.96/3.15 (assume @p343 (forall @t25 (or @t310 @t21 @t207))) % 2.96/3.15 (assume @p344 (forall @t108 (or @t107 @t44 @t310))) % 2.96/3.15 (assume @p345 (forall (@list @t166 @t469 @t7 @t468) (or (= @t166 @t469) (not (tptp.c_Natural_Oevalc @t7 @t468 @t166)) (not @t470)))) % 2.96/3.15 (assume @p346 (forall @t108 (or (not (= @t467 @t50)) @t209 @t310))) % 2.96/3.15 (assume @p347 (forall (@list @t26 @t27) (or (tptp.c_HOL_Oord__class_Oless @t26 @t27 tptp.tc_nat) @t102 @t456))) % 2.96/3.15 (assume @p348 (forall @t32 (or @t285 @t456 @t146 @t203))) % 2.96/3.15 (assume @p349 (forall @t137 (or @t124 @t283 @t279 @t456))) % 2.96/3.15 (assume @p350 (forall @t32 (or @t285 @t456 @t203 @t146))) % 2.96/3.15 (assume @p351 (forall @t137 (or @t124 @t283 @t456 @t279))) % 2.96/3.15 (assume @p352 (forall @t32 (or @t124 @t456 @t279 @t283))) % 2.96/3.15 (assume @p353 (forall @t340 (or @t408 @t339 @t338 (= @t407 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t317 @t337 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p354 (forall @t41 (or @t212 @t258 (not @t471)))) % 2.96/3.15 (assume @p355 (forall @t41 (or @t212 @t471 @t259))) % 2.96/3.15 (assume @p356 (forall @t83 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t27 @t27 @t1) @t27)))) % 2.96/3.15 (assume @p357 (forall @t189 (or @t473 @t472 @t184 @t183))) % 2.96/3.15 (assume @p358 (forall @t257 (or (tptp.c_HOL_Oord__class_Oless @t155 @t256 tptp.tc_nat) @t47 @t91))) % 2.96/3.15 (assume @p359 (forall @t474 (or @t406 @t103))) % 2.96/3.15 (assume @p360 (forall @t25 (or @t206 @t59))) % 2.96/3.15 (assume @p361 (forall @t32 (or @t285 @t202 @t280))) % 2.96/3.15 (assume @p362 (forall @t32 (or @t281 @t202 @t280))) % 2.96/3.15 (assume @p363 (forall (@list @t18 @t89 @t46) (or (= (tptp.c_HOL_Ominus__class_Ominus @t18 @t220 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t402 @t219 tptp.tc_nat)) @t154))) % 2.96/3.15 (assume @p364 (forall @t41 (or @t212 @t72 (not @t475)))) % 2.96/3.15 (assume @p365 (forall @t41 (or @t212 @t475 @t183))) % 2.96/3.15 (assume @p366 (forall @t194 (or @t114 @t476 @t259))) % 2.96/3.15 (assume @p367 (forall @t74 (or @t114 @t258 (not @t476)))) % 2.96/3.15 (assume @p368 (forall @t441 (or @t114 @t478 @t259))) % 2.96/3.15 (assume @p369 (forall @t74 (or @t114 @t258 (not @t478)))) % 2.96/3.15 (assume @p370 (forall @t194 (or @t262 @t476 @t259))) % 2.96/3.15 (assume @p371 (forall @t441 (or @t262 @t478 @t259))) % 2.96/3.15 (assume @p372 (forall @t97 (or (tptp.c_lessequals @t155 @t426 tptp.tc_nat) @t165))) % 2.96/3.15 (assume @p373 (forall @t292 (or @t206 (not @t479)))) % 2.96/3.15 (assume @p374 (forall @t254 (or @t479 @t207))) % 2.96/3.15 (assume @p375 (forall @t480 (or @t165 (= @t89 (tptp.c_HOL_Oplus__class_Oplus @t167 @t90 tptp.tc_nat))))) % 2.96/3.15 (assume @p376 (forall @t108 (or @t481 @t21))) % 2.96/3.15 (assume @p377 (forall @t25 (or (= (tptp.c_HOL_Oplus__class_Oplus @t22 @t19 tptp.tc_nat) @t18) @t21))) % 2.96/3.15 (assume @p378 (forall @t292 (or @t44 @t435))) % 2.96/3.15 (assume @p379 (forall @t292 (or @t44 @t433))) % 2.96/3.15 (assume @p380 (forall (@list @t482 @t451) (or (tptp.c_Com_OWT @t482) @t483))) % 2.96/3.15 (assume @p381 (forall (@list @t451 @t482) (or @t484 @t483))) % 2.96/3.15 (assume @p382 (forall @t159 (or (= @t382 @t383) @t154))) % 2.96/3.15 (assume @p383 (forall @t359 (or (= @t384 @t386) @t154))) % 2.96/3.15 (assume @p384 (forall @t32 (or @t485 (= (tptp.c_HOL_Otimes__class_Otimes @t27 @t238 @t1) @t238)))) % 2.96/3.15 (assume @p385 (forall (@list @t27 @t19 @t319 @t26 @t486) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t27 (tptp.c_HOL_Otimes__class_Otimes @t19 @t319 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t26 (tptp.c_HOL_Otimes__class_Otimes @t19 @t486 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t27 @t19 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t26 @t19 tptp.tc_nat))))) % 2.96/3.15 (assume @p386 (forall @t189 (or @t73 @t188 @t443 @t117 @t260 @t183))) % 2.96/3.15 (assume @p387 (forall @t189 (or @t73 @t188 @t71 @t222 @t184 @t259))) % 2.96/3.15 (assume @p388 (forall @t241 (or @t56 @t66))) % 2.96/3.15 (assume @p389 (forall @t487 (not (= @t131 tptp.c_Com_Ocom_OSKIP)))) % 2.96/3.15 (assume @p390 (not (tptp.c_HOL_Oord__class_Oless @t50 @t50 tptp.tc_nat))) % 2.96/3.15 (assume @p391 (forall @t41 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t39 @t4 @t1) @t225)))) % 2.96/3.15 (assume @p392 (forall @t347 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t38 @t4 @t1) @t225)))) % 2.96/3.15 (assume @p393 (forall @t347 (or @t31 @t277 @t378 @t488))) % 2.96/3.15 (assume @p394 (forall @t41 (or @t31 @t375 @t378 @t488))) % 2.96/3.15 (assume @p395 (forall @t347 (or @t31 @t277 @t116 @t488))) % 2.96/3.15 (assume @p396 (forall @t41 (or @t31 @t375 @t116 @t488))) % 2.96/3.15 (assume @p397 (forall @t347 (or @t73 (tptp.c_HOL_Oord__class_Oless @t274 @t30 @t1) @t349 @t222))) % 2.96/3.15 (assume @p398 (forall @t41 (or @t73 @t489 @t349 @t222))) % 2.96/3.15 (assume @p399 (forall @t41 (or @t73 @t489 @t186 @t342))) % 2.96/3.15 (assume @p400 (forall @t108 (or (tptp.c_HOL_Oord__class_Oless @t19 @t53 tptp.tc_nat) @t446 @t445))) % 2.96/3.15 (assume @p401 (forall @t108 (or (tptp.c_HOL_Oord__class_Oless @t19 @t269 tptp.tc_nat) @t446 @t445))) % 2.96/3.15 (assume @p402 (forall @t292 (or @t44 (not @t490) @t422 @t421))) % 2.96/3.15 (assume @p403 (forall @t250 (or @t490 @t59 @t422 @t421))) % 2.96/3.15 (assume @p404 (forall @t115 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t1)) @t223 @t420 @t222))) % 2.96/3.15 (assume @p405 (forall (@list @t449 @t451) (or (tptp.c_Com_OWT @t452) (not @t484) (not (tptp.c_Com_OWT @t449))))) % 2.96/3.15 (assume @p406 (forall @t34 (or @t244 @t491 @t376))) % 2.96/3.15 (assume @p407 (forall @t34 (or @t244 @t375 (not @t491)))) % 2.96/3.15 (assume @p408 (forall @t25 (= (tptp.c_HOL_Otimes__class_Otimes @t50 @t18 tptp.tc_nat) @t399))) % 2.96/3.15 (assume @p409 (forall @t25 (= @t400 (tptp.c_HOL_Otimes__class_Otimes @t19 @t50 tptp.tc_nat)))) % 2.96/3.15 (assume @p410 (forall @t480 (not (tptp.c_HOL_Oord__class_Oless @t96 @t90 tptp.tc_nat)))) % 2.96/3.15 (assume @p411 (forall (@list @t89 @t90) (not (tptp.c_HOL_Oord__class_Oless @t385 @t90 tptp.tc_nat)))) % 2.96/3.15 (assume @p412 (forall (@list @t4 @t493 @t7 @t492) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t4 (tptp.c_Divides_Odiv__class_Omod @t493 @t7 tptp.tc_nat) tptp.tc_nat) @t492 tptp.tc_nat) @t374 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t492 @t4 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t50 @t7 tptp.tc_nat))))) % 2.96/3.15 (assume @p413 (forall @t194 (or @t16 @t444 @t494 @t112))) % 2.96/3.15 (assume @p414 (forall @t441 (or @t16 @t439 @t494 @t112))) % 2.96/3.15 (assume @p415 (forall @t194 (or @t495 @t444 @t71 @t259))) % 2.96/3.15 (assume @p416 (forall @t441 (or @t495 @t439 @t71 @t259))) % 2.96/3.15 (assume @p417 (forall @t441 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t439 @t71 @t259))) % 2.96/3.15 (assume @p418 (forall @t25 (or @t331 @t44))) % 2.96/3.15 (assume @p419 (forall (@list @t1 @t27 @t492 @t7 @t2) (or @t65 @t64 (not (= (tptp.c_HOL_Oplus__class_Oplus @t27 (tptp.c_HOL_Otimes__class_Otimes @t492 @t7 @t1) @t1) (tptp.c_HOL_Oplus__class_Oplus @t27 (tptp.c_HOL_Otimes__class_Otimes @t492 @t2 @t1) @t1))) @t373 (= @t492 @t30)))) % 2.96/3.15 (assume @p420 (forall (@list @t27 @t492 @t7 @t2) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t27 (tptp.c_HOL_Otimes__class_Otimes @t492 @t7 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t27 (tptp.c_HOL_Otimes__class_Otimes @t492 @t2 tptp.tc_nat) tptp.tc_nat))) @t373 (= @t492 @t50)))) % 2.96/3.15 (assume @p421 (forall @t32 (or @t31 @t496 @t320))) % 2.96/3.15 (assume @p422 (forall @t41 (or @t497 @t463 @t379 @t117))) % 2.96/3.15 (assume @p423 (forall @t41 (or @t497 @t463 @t278 @t376))) % 2.96/3.15 (assume @p424 (forall @t347 (or @t497 (tptp.c_lessequals @t274 @t30 @t1) @t379 @t117))) % 2.96/3.15 (assume @p425 (forall @t34 (or @t31 (not (tptp.c_HOL_Oord__class_Oless @t498 @t30 @t1))))) % 2.96/3.15 (assume @p426 (forall @t254 (or @t502 @t59))) % 2.96/3.15 (assume @p427 (forall @t292 (or @t44 (not @t502)))) % 2.96/3.15 (assume @p428 (forall @t101 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t27 @t26 tptp.tc_nat) @t290)) @t371))) % 2.96/3.15 (assume @p429 (forall @t250 (or (not (= @t402 @t291)) @t310))) % 2.96/3.15 (assume @p430 (forall @t254 (or (not (= @t218 @t48)) @t310))) % 2.96/3.15 (assume @p431 (forall @t125 (or @t65 @t64 (not (= @t49 @t289)) @t371))) % 2.96/3.15 (assume @p432 (forall @t74 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t504 @t503))) % 2.96/3.15 (assume @p433 (forall @t74 (or @t505 @t504 @t503))) % 2.96/3.15 (assume @p434 (forall @t115 (or @t505 (not (= @t38 @t35)) @t503))) % 2.96/3.15 (assume @p435 (forall @t25 (tptp.c_lessequals @t58 @t18 tptp.tc_nat))) % 2.96/3.15 (assume @p436 (forall @t125 (or @t114 (= (tptp.c_HOL_Oplus__class_Oplus @t120 @t98 @t1) (tptp.c_Orderings_Oord__class_Omin @t289 @t287 @t1))))) % 2.96/3.15 (assume @p437 (forall @t292 (or (tptp.c_lessequals @t18 (tptp.c_HOL_Ominus__class_Ominus @t42 @t46 tptp.tc_nat) tptp.tc_nat) @t422))) % 2.96/3.15 (assume @p438 (forall @t74 (or @t408 (= @t407 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t192 @t275 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p439 (forall @t25 (or (not @t507) (= @t365 @t50)))) % 2.96/3.15 (assume @p440 (forall @t74 (or @t33 (= @t191 @t193)))) % 2.96/3.15 (assume @p441 (forall @t74 (or @t33 (= @t191 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t8 @t275 @t1) @t7 @t1))))) % 2.96/3.15 (assume @p442 (forall @t25 (or @t508 @t55 @t66))) % 2.96/3.15 (assume @p443 (forall @t25 (or @t508 @t325 @t52))) % 2.96/3.15 (assume @p444 (forall @t254 (or @t509 @t207))) % 2.96/3.15 (assume @p445 (forall @t292 (or @t206 (not @t509)))) % 2.96/3.15 (assume @p446 (forall @t32 (or @t31 @t510 @t324))) % 2.96/3.15 (assume @p447 (forall @t32 (or @t31 @t510 @t320))) % 2.96/3.15 (assume @p448 (forall (@list @t1 @t8 @t4 @t7 @t2) (or @t37 (= (tptp.c_HOL_Oplus__class_Oplus @t39 @t297 @t1) (tptp.c_HOL_Oplus__class_Oplus @t36 @t261 @t1))))) % 2.96/3.15 (assume @p449 (forall @t32 (or @t124 (= @t136 @t511)))) % 2.96/3.15 (assume @p450 (forall @t125 (or @t124 (tptp.c_lessequals @t121 @t123 @t1)))) % 2.96/3.15 (assume @p451 (forall @t241 (= (tptp.c_Orderings_Oord__class_Omax @t19 @t50 tptp.tc_nat) @t19))) % 2.96/3.15 (assume @p452 (forall @t241 (= (tptp.c_Orderings_Oord__class_Omax @t50 @t19 tptp.tc_nat) @t19))) % 2.96/3.15 (assume @p453 (forall @t32 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t27 @t120 @t1) @t27)))) % 2.96/3.15 (assume @p454 (forall @t302 (tptp.c_lessequals @t18 @t512 tptp.tc_nat))) % 2.96/3.15 (assume @p455 (forall @t441 (or @t31 @t437 @t442 @t78))) % 2.96/3.15 (assume @p456 (forall @t115 (or @t31 @t513 @t72 @t78))) % 2.96/3.15 (assume @p457 (forall @t441 (or @t31 @t437 @t442 @t70))) % 2.96/3.15 (assume @p458 (forall @t115 (or @t31 @t513 @t72 @t70))) % 2.96/3.15 (assume @p459 (forall @t515 (or (= (tptp.c_HOL_Ominus__class_Ominus @t19 @t514 tptp.tc_nat) @t90) (not (tptp.c_lessequals @t90 @t19 tptp.tc_nat))))) % 2.96/3.15 (assume @p460 (forall @t254 (= (tptp.c_HOL_Otimes__class_Otimes @t46 @t58 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t252 @t251 tptp.tc_nat)))) % 2.96/3.15 (assume @p461 (forall @t292 (= (tptp.c_HOL_Otimes__class_Otimes @t58 @t46 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t248 @t247 tptp.tc_nat)))) % 2.96/3.15 (assume @p462 (forall @t250 (or @t432 @t59 @t431))) % 2.96/3.15 (assume @p463 (forall @t254 (or @t434 @t59 @t431))) % 2.96/3.15 (assume @p464 (forall @t518 (or (tptp.c_HOL_Oord__class_Oless @t517 @t516 tptp.tc_nat) @t431 @t91))) % 2.96/3.15 (assume @p465 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t520 @t519 tptp.tc_nat) @t431 @t91))) % 2.96/3.15 (assume @p466 (forall @t292 (or @t44 @t435 @t431))) % 2.96/3.15 (assume @p467 (forall @t115 (or @t31 @t513 @t78 @t438))) % 2.96/3.15 (assume @p468 (forall @t441 (or @t31 @t77 @t521 @t438))) % 2.96/3.15 (assume @p469 (forall @t74 (or @t31 @t72 @t78 @t443))) % 2.96/3.15 (assume @p470 (forall @t441 (or @t31 @t77 @t183 @t443))) % 2.96/3.15 (assume @p471 (forall @t441 (or @t31 @t77 @t438 @t521))) % 2.96/3.15 (assume @p472 (forall @t441 (or @t73 @t77 @t443 @t183))) % 2.96/3.15 (assume @p473 (forall @t194 (or @t31 @t69 @t438 @t521))) % 2.96/3.15 (assume @p474 (forall @t194 (or @t73 @t69 @t443 @t183))) % 2.96/3.15 (assume @p475 (forall @t194 (or @t31 @t69 @t183 @t443))) % 2.96/3.15 (assume @p476 (forall @t194 (or @t31 @t69 @t521 @t438))) % 2.96/3.15 (assume @p477 (forall @t441 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t77 @t443 @t183))) % 2.96/3.15 (assume @p478 (forall @t125 (or @t114 (= (tptp.c_HOL_Oplus__class_Oplus @t136 @t98 @t1) (tptp.c_Orderings_Oord__class_Omax @t289 @t287 @t1))))) % 2.96/3.15 (assume @p479 (forall @t257 (or (tptp.c_lessequals @t520 (tptp.c_HOL_Otimes__class_Otimes @t89 @t45 tptp.tc_nat) tptp.tc_nat) @t255 @t165))) % 2.96/3.15 (assume @p480 (forall @t302 (tptp.c_lessequals @t18 (tptp.c_HOL_Otimes__class_Otimes @t18 @t512 tptp.tc_nat) tptp.tc_nat))) % 2.96/3.15 (assume @p481 (forall @t189 (or @t523 @t522 @t71 @t278 @t260 @t259))) % 2.96/3.15 (assume @p482 (forall @t189 (or @t523 @t522 @t71 @t117 @t260 @t259))) % 2.96/3.15 (assume @p483 (forall @t125 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t136 @t98 @t1) @t524)))) % 2.96/3.15 (assume @p484 (forall @t125 (or @t124 (= @t524 (tptp.c_Orderings_Oord__class_Omax @t26 @t525 @t1))))) % 2.96/3.15 (assume @p485 (forall @t367 (= (tptp.c_Divides_Odiv__class_Omod @t366 @t19 tptp.tc_nat) @t58))) % 2.96/3.15 (assume @p486 (forall @t194 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t8 @t75 @t1) @t4 @t1) @t225)))) % 2.96/3.15 (assume @p487 (forall @t74 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t8 @t67 @t1) @t4 @t1) @t225)))) % 2.96/3.15 (assume @p488 (forall (@list @t1 @t8 @t18 @t4) (or @t37 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t8 @t18 @t1) (tptp.c_HOL_Otimes__class_Otimes @t4 @t18 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t39 @t18 @t1))))) % 2.96/3.15 (assume @p489 (forall @t83 (or @t37 (= (tptp.c_HOL_Oplus__class_Oplus @t30 @t27 @t1) @t27)))) % 2.96/3.15 (assume @p490 (forall @t34 (or @t40 @t526))) % 2.96/3.15 (assume @p491 (forall @t268 (= @t27 (tptp.c_HOL_Oplus__class_Oplus @t27 @t50 tptp.tc_nat)))) % 2.96/3.15 (assume @p492 (forall @t241 (= (tptp.c_HOL_Oplus__class_Oplus @t50 @t19 tptp.tc_nat) @t19))) % 2.96/3.15 (assume @p493 (forall @t302 (= (tptp.c_HOL_Oplus__class_Oplus @t18 @t50 tptp.tc_nat) @t18))) % 2.96/3.15 (assume @p494 (forall @t83 (or @t65 @t64 (= @t27 (tptp.c_HOL_Oplus__class_Oplus @t27 @t30 @t1))))) % 2.96/3.15 (assume @p495 (forall @t34 (or @t40 @t527))) % 2.96/3.15 (assume @p496 (forall @t34 (or @t528 @t526))) % 2.96/3.15 (assume @p497 (forall @t34 (or @t528 @t527))) % 2.96/3.15 (assume @p498 (forall @t34 (or @t37 @t527))) % 2.96/3.15 (assume @p499 (forall @t34 (or @t37 @t526))) % 2.96/3.15 (assume @p500 (forall @t271 (or @t31 (not (tptp.c_HOL_Oord__class_Oless @t30 @t381 @t1))))) % 2.96/3.15 (assume @p501 (forall @t32 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t27 @t136 @t1) @t136)))) % 2.96/3.15 (assume @p502 (forall @t41 (or @t31 @t375 @t116 @t530))) % 2.96/3.15 (assume @p503 (forall @t347 (or @t31 @t378 @t116 @t530))) % 2.96/3.15 (assume @p504 (forall @t41 (or @t31 @t375 @t277 @t530))) % 2.96/3.15 (assume @p505 (forall @t347 (or @t31 @t378 @t277 @t530))) % 2.96/3.15 (assume @p506 (forall @t531 (= (tptp.c_Fun_Oid @t27 @t1) @t27))) % 2.96/3.15 (assume @p507 (forall @t25 (= (tptp.c_HOL_Ominus__class_Ominus @t43 @t19 tptp.tc_nat) @t18))) % 2.96/3.15 (assume @p508 (forall @t108 (= (tptp.c_HOL_Ominus__class_Ominus @t42 @t19 tptp.tc_nat) @t18))) % 2.96/3.15 (assume @p509 (forall @t41 (or @t84 (= (tptp.c_HOL_Ominus__class_Ominus @t39 @t4 @t1) @t8)))) % 2.96/3.15 (assume @p510 (forall @t189 (or @t473 @t472 @t184 @t259))) % 2.96/3.15 (assume @p511 (forall @t189 (or @t473 @t472 @t260 @t183))) % 2.96/3.15 (assume @p512 (forall (@list @t469 @t468) (or @t532 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t468 @t469))))) % 2.96/3.15 (assume @p513 (forall @t25 (or @t300 @t57))) % 2.96/3.15 (assume @p514 (forall @t25 (or @t300 @t350))) % 2.96/3.15 (assume @p515 (forall @t34 (or @t244 @t221 (not @t533)))) % 2.96/3.15 (assume @p516 (forall @t34 (or @t244 @t533 @t222))) % 2.96/3.15 (assume @p517 (forall @t32 (or @t31 @t496 @t324))) % 2.96/3.15 (assume @p518 (tptp.c_lessequals @t50 @t50 tptp.tc_nat)) % 2.96/3.15 (assume @p519 (forall @t97 (or @t535 (not @t534)))) % 2.96/3.15 (assume @p520 (forall @t159 (or @t534 (not @t535)))) % 2.96/3.15 (assume @p521 (forall @t194 (or @t473 @t536 @t183))) % 2.96/3.15 (assume @p522 (forall @t194 (or @t114 @t536 @t183))) % 2.96/3.15 (assume @p523 (forall @t74 (or @t114 @t72 (not @t536)))) % 2.96/3.15 (assume @p524 (forall @t441 (or @t473 @t537 @t183))) % 2.96/3.15 (assume @p525 (forall @t441 (or @t114 @t537 @t183))) % 2.96/3.15 (assume @p526 (forall @t74 (or @t114 @t72 (not @t537)))) % 2.96/3.15 (assume @p527 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t155 @t426 tptp.tc_nat) @t91))) % 2.96/3.15 (assume @p528 (forall @t292 (or @t44 (not @t538)))) % 2.96/3.15 (assume @p529 (forall @t254 (or @t538 @t59))) % 2.96/3.15 (assume @p530 (forall @t25 (or @t303 (not @t305) (not @t401)))) % 2.96/3.15 (assume @p531 (forall @t231 (or @t285 @t147 @t353 @t146))) % 2.96/3.15 (assume @p532 (forall @t231 (or @t285 @t226 @t353 @t284))) % 2.96/3.15 (assume @p533 (forall @t231 (or @t285 @t226 @t229 @t146))) % 2.96/3.15 (assume @p534 (forall @t41 (or @t273 (tptp.c_lessequals @t39 @t30 @t1) @t379 @t376))) % 2.96/3.15 (assume @p535 (forall @t282 (or @t281 @t149 @t152 @t203))) % 2.96/3.15 (assume @p536 (forall @t241 (tptp.c_lessequals @t19 @t19 tptp.tc_nat))) % 2.96/3.15 (assume @p537 (forall @t97 (or (tptp.c_lessequals @t90 @t46 tptp.tc_nat) (not (tptp.c_lessequals @t89 @t46 tptp.tc_nat)) @t165))) % 2.96/3.15 (assume @p538 (forall @t268 @t267)) % 2.96/3.15 (assume @p539 (forall @t83 (or @t285 @t415))) % 2.96/3.15 (assume @p540 (forall @t83 (or @t281 @t415))) % 2.96/3.15 (assume @p541 (forall @t282 (or @t281 @t213 @t216 @t203))) % 2.96/3.15 (assume @p542 (forall @t282 (or @t281 @t213 @t152 @t280))) % 2.96/3.15 (assume @p543 (forall (@list @t1 @t8 @t4 @t2 @t7) (or @t212 (tptp.c_lessequals @t8 @t261 @t1) @t260 (not (tptp.c_lessequals @t8 @t293 @t1))))) % 2.96/3.15 (assume @p544 (forall (@list @t18 @t90 @t19) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t18 @t90 tptp.tc_nat) @t514 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t539 @t90 tptp.tc_nat)))) % 2.96/3.15 (assume @p545 (= @t419 @t51)) % 2.96/3.15 (assume @p546 (forall @t83 (or @t485 (= @t28 @t27)))) % 2.96/3.15 (assume @p547 (forall @t41 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t190 @t4 @t1) @t30)))) % 2.96/3.15 (assume @p548 (forall @t347 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t274 @t4 @t1) @t30)))) % 2.96/3.15 (assume @p549 (forall (@list @t2 @t27) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t2 @t27 tptp.tc_nat) @t2 tptp.tc_nat) @t50))) % 2.96/3.15 (assume @p550 (forall @t189 (or @t73 @t188 @t71 @t117 @t184 @t183))) % 2.96/3.15 (assume @p551 (forall @t108 (or @t542 @t541 @t207))) % 2.96/3.15 (assume @p552 (forall @t97 (or (tptp.c_lessequals @t520 @t519 tptp.tc_nat) @t165))) % 2.96/3.15 (assume @p553 (forall @t518 (or (tptp.c_lessequals @t517 @t516 tptp.tc_nat) @t165))) % 2.96/3.15 (assume @p554 (forall @t254 (or @t253 @t207))) % 2.96/3.15 (assume @p555 (forall @t250 (or @t249 @t207))) % 2.96/3.15 (assume @p556 (forall @t25 (or @t44 (not @t543)))) % 2.96/3.15 (assume @p557 (forall @t108 (or @t543 @t59))) % 2.96/3.15 (assume @p558 (forall @t271 (or @t31 (= @t381 @t30)))) % 2.96/3.15 (assume @p559 (forall @t441 (or @t31 @t437 @t72 @t70))) % 2.96/3.15 (assume @p560 (forall @t115 (or @t31 @t513 @t442 @t70))) % 2.96/3.15 (assume @p561 (forall @t441 (or @t31 @t437 @t72 @t78))) % 2.96/3.15 (assume @p562 (forall @t115 (or @t31 @t513 @t442 @t78))) % 2.96/3.15 (assume @p563 (forall @t241 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t19 @t51 tptp.tc_nat)) @t19) @t57))) % 2.96/3.15 (assume @p564 (forall @t25 (or (tptp.c_HOL_Oord__class_Oless @t22 @t18 tptp.tc_nat) @t350 @t57))) % 2.96/3.15 (assume @p565 (forall @t125 (or @t124 (tptp.c_lessequals @t545 @t544 @t1)))) % 2.96/3.16 (assume @p566 (forall @t548 (or @t212 @t547 @t546 @t146))) % 2.96/3.16 (assume @p567 (forall @t548 (or @t212 @t547 @t145 (not @t546)))) % 2.96/3.16 (assume @p568 (forall @t548 (or @t212 @t547 @t549 @t280))) % 2.96/3.16 (assume @p569 (forall @t548 (or @t212 @t547 @t279 (not @t549)))) % 2.96/3.16 (assume @p570 (forall @t194 (or @t33 (= @t416 @t276)))) % 2.96/3.16 (assume @p571 (forall @t74 (or @t33 (= @t417 @t276)))) % 2.96/3.16 (assume @p572 (forall @t108 (or @t481 @t44))) % 2.96/3.16 (assume @p573 (forall @t515 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t19 @t550 tptp.tc_nat) @t19 tptp.tc_nat) @t57))) % 2.96/3.16 (assume @p574 (forall @t25 (or @t508 @t55 @t52))) % 2.96/3.16 (assume @p575 (forall @t25 (or @t508 @t325 @t66))) % 2.96/3.16 (assume @p576 (forall @t127 (or @t124 (= (tptp.c_Orderings_Oord__class_Omax @t204 @t27 @t1) (tptp.c_Orderings_Oord__class_Omin @t511 (tptp.c_Orderings_Oord__class_Omax @t98 @t27 @t1) @t1))))) % 2.96/3.16 (assume @p577 (forall @t125 (or @t124 (= @t545 @t544)))) % 2.96/3.16 (assume @p578 (forall @t347 (or @t285 @t513 @t372 @t112))) % 2.96/3.16 (assume @p579 (forall @t347 (or @t285 @t513 @t112 @t372))) % 2.96/3.16 (assume @p580 (forall @t25 (or @t44 @t310 @t207))) % 2.96/3.16 (assume @p581 (forall @t25 (or @t310 @t44 @t207))) % 2.96/3.16 (assume @p582 (forall @t32 (or @t285 @t456 @t279 @t203))) % 2.96/3.16 (assume @p583 (forall @t32 (or @t285 @t279 @t456 @t203))) % 2.96/3.16 (assume @p584 (forall @t41 (or @t285 @t72 @t372 @t259))) % 2.96/3.16 (assume @p585 (forall @t41 (or @t285 @t72 @t259 @t372))) % 2.96/3.16 (assume @p586 (forall @t32 (or @t124 @t456 @t203 @t279))) % 2.96/3.16 (assume @p587 (forall @t32 (or @t124 @t456 @t279 @t203))) % 2.96/3.16 (assume @p588 (forall @t41 (or @t497 @t529 @t278 @t117))) % 2.96/3.16 (assume @p589 (forall @t41 (or @t31 @t529 @t379 @t376))) % 2.96/3.16 (assume @p590 (forall @t41 (or @t31 @t529 @t278 @t117))) % 2.96/3.16 (assume @p591 (forall @t34 (or @t31 (tptp.c_lessequals @t30 @t498 @t1)))) % 2.96/3.16 (assume @p592 (forall @t41 (or @t16 @t529 @t379 @t376))) % 2.96/3.16 (assume @p593 (forall @t41 (or @t16 @t529 @t278 @t117))) % 2.96/3.16 (assume @p594 (forall @t194 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t68 @t67 @t1) (tptp.c_HOL_Otimes__class_Otimes @t225 @t7 @t1))))) % 2.96/3.16 (assume @p595 (forall @t441 (or @t33 (= (tptp.c_Divides_Odiv__class_Omod @t76 @t75 @t1) (tptp.c_HOL_Otimes__class_Otimes @t7 @t225 @t1))))) % 2.96/3.16 (assume @p596 (forall @t74 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.c_HOL_Otimes__class_Otimes @t190 @t7 @t1) (tptp.c_HOL_Otimes__class_Otimes @t8 @t67 @t1))))) % 2.96/3.16 (assume @p597 (forall @t552 (or @t37 (= @t551 (tptp.c_HOL_Otimes__class_Otimes @t391 @t388 @t1))))) % 2.96/3.16 (assume @p598 (forall @t552 (or @t37 (= @t551 (tptp.c_HOL_Otimes__class_Otimes @t390 (tptp.c_HOL_Otimes__class_Otimes @t388 @t389 @t1) @t1))))) % 2.96/3.16 (assume @p599 (forall @t554 (or @t37 (= @t553 (tptp.c_HOL_Otimes__class_Otimes @t391 @t387 @t1))))) % 2.96/3.16 (assume @p600 (forall @t554 (or @t37 (= @t553 (tptp.c_HOL_Otimes__class_Otimes @t389 (tptp.c_HOL_Otimes__class_Otimes @t390 @t387 @t1) @t1))))) % 2.96/3.16 (assume @p601 (forall @t292 (= (tptp.c_HOL_Otimes__class_Otimes @t53 @t46 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t18 @t247 tptp.tc_nat)))) % 2.96/3.16 (assume @p602 (forall @t125 (or @t37 (= (tptp.c_HOL_Otimes__class_Otimes @t27 (tptp.c_HOL_Otimes__class_Otimes @t26 @t98 @t1) @t1) (tptp.c_HOL_Otimes__class_Otimes @t238 @t98 @t1))))) % 2.96/3.16 (assume @p603 (forall @t74 (or @t37 @t555))) % 2.96/3.16 (assume @p604 (forall @t74 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t555))) % 2.96/3.16 (assume @p605 (forall @t292 (= (tptp.c_HOL_Otimes__class_Otimes @t43 @t46 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t248 @t247 tptp.tc_nat)))) % 2.96/3.16 (assume @p606 (forall @t254 (= (tptp.c_HOL_Otimes__class_Otimes @t46 @t43 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t252 @t251 tptp.tc_nat)))) % 2.96/3.16 (assume @p607 (forall @t125 (or @t37 (= (tptp.c_HOL_Otimes__class_Otimes @t27 @t287 @t1) @t240)))) % 2.96/3.16 (assume @p608 (forall @t487 (not (= tptp.c_Com_Ocom_OSKIP @t131)))) % 2.96/3.16 (assume @p609 (forall @t41 (or @t285 @t183 @t521))) % 2.96/3.16 (assume @p610 (forall @t32 (or @t124 @t280 @t284))) % 2.96/3.16 (assume @p611 (forall @t108 (or @t20 @t206))) % 2.96/3.16 (assume @p612 (forall @t137 (or @t124 @t145 @t202))) % 2.96/3.16 (assume @p613 (forall @t137 (or @t281 @t284 @t280))) % 2.96/3.16 (assume @p614 (forall @t347 (or @t281 @t521 @t183))) % 2.96/3.16 (assume @p615 (forall @t108 (or @t556 @t21))) % 2.96/3.16 (assume @p616 (forall @t108 (or @t20 (not @t556)))) % 2.96/3.16 (assume @p617 (forall @t531 (= (tptp.c_Option_Othe (tptp.c_Option_Ooption_OSome @t27 @t1) @t1) @t27))) % 2.96/3.16 (assume @p618 (forall @t254 (or (not (= @t501 @t500)) @t310))) % 2.96/3.16 (assume @p619 (= (tptp.c_COMBK tptp.v_P tptp.v_Q tptp.t_a tptp.t_b) tptp.v_P)) % 2.96/3.16 (assume @p620 (forall (@list @t557) (or (tptp.c_Com_OWT @t559) (= @t558 (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom))))) % 2.96/3.16 (assume @p621 (forall @t25 (or @t263 @t59))) % 2.96/3.16 (assume @p622 (forall @t25 (or @t44 (not @t560)))) % 2.96/3.16 (assume @p623 (forall @t563 (not (= @t562 tptp.c_Com_Ocom_OSKIP)))) % 2.96/3.16 (assume @p624 (forall (@list @t7 @t468 @t18 @t469 @t19) (or (tptp.c_Natural_Oevaln @t7 @t468 @t18 @t469) @t21 @t564))) % 2.96/3.16 (assume @p625 (forall (@list @t557 @t448 @t447) (or (tptp.c_Natural_Oevalc @t559 @t448 @t447) (not (tptp.c_Natural_Oevalc @t565 @t448 @t447))))) % 2.96/3.16 (assume @p626 (forall (@list @t410 @t468 @t447) (or (tptp.c_Natural_Oevalc @t568 @t468 @t447) (not (tptp.c_Natural_Oevalc @t566 @t468 @t447))))) % 2.96/3.16 (assume @p627 (forall @t25 (= @t365 (tptp.c_Divides_Odiv__class_Omod @t506 @t19 tptp.tc_nat)))) % 2.96/3.16 (assume @p628 (forall @t241 (not (= @t19 @t104)))) % 2.96/3.16 (assume @p629 (forall @t241 (not (= @t104 @t19)))) % 2.96/3.16 (assume @p630 (forall @t241 (not (tptp.c_lessequals @t104 @t19 tptp.tc_nat)))) % 2.96/3.16 (assume @p631 (forall @t25 (or @t569 @t207))) % 2.96/3.16 (assume @p632 (forall @t25 (or @t206 @t110))) % 2.96/3.16 (assume @p633 (forall @t97 (or (tptp.c_HOL_Oord__class_Oless @t550 @t46 tptp.tc_nat) @t464 @t91))) % 2.96/3.16 (assume @p634 (forall @t268 @t266)) % 2.96/3.16 (assume @p635 (forall @t241 (tptp.c_HOL_Oord__class_Oless @t19 @t104 tptp.tc_nat))) % 2.96/3.16 (assume @p636 (forall @t302 (not (= @t23 @t50)))) % 2.96/3.16 (assume @p637 (forall @t572 (not (= @t571 @t50)))) % 2.96/3.16 (assume @p638 (forall (@list @t468 @t19) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t468 @t19 @t468))) % 2.96/3.16 (assume @p639 (forall (@list @t7 @t468 @t19 @t573) (or (tptp.c_Natural_Oevaln @t7 @t468 @t104 @t573) (not (tptp.c_Natural_Oevaln @t7 @t468 @t19 @t573))))) % 2.96/3.16 (assume @p640 (forall @t108 (or @t542 @t541 @t107))) % 2.96/3.16 (assume @p641 (forall @t25 (or @t310 @t541 @t107))) % 2.96/3.16 (assume @p642 (forall @t25 (or @t310 @t44 @t264))) % 2.96/3.16 (assume @p643 (forall @t25 (= (tptp.c_HOL_Ominus__class_Ominus @t23 @t104 tptp.tc_nat) @t22))) % 2.96/3.16 (assume @p644 (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x)) % 2.96/3.16 (assume @p645 @t578) % 2.96/3.16 (assume @p646 (forall @t474 (or (not (= @t265 (tptp.c_Suc @t26))) @t456))) % 2.96/3.16 (assume @p647 (forall (@list @t410 @t468 @t19 @t447) (or (tptp.c_Natural_Oevaln @t568 @t468 @t580 @t447) @t579))) % 2.96/3.16 (assume @p648 (forall (@list @t482 @t450 @t451 @t447 @t581 @t584 @t585 @t582) (or (tptp.c_Natural_Oevaln @t482 @t450 @t587 @t584) @t586 @t583))) % 2.96/3.16 (assume @p649 (forall (@list @t451 @t447 @t482 @t450 @t581 @t584 @t585 @t582) (or (tptp.c_Natural_Oevaln @t451 @t447 @t587 @t581) @t586 @t583))) % 2.96/3.16 (assume @p650 (forall @t302 (not (= @t50 @t23)))) % 2.96/3.16 (assume @p651 (forall @t572 (not (= @t50 @t571)))) % 2.96/3.16 (assume @p652 (forall @t25 (= @t589 @t588))) % 2.96/3.16 (assume @p653 (forall @t25 (= @t590 @t588))) % 2.96/3.16 (assume @p654 (forall (@list @t410) (or (= @t567 (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 @t410) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT @t566))))) % 2.96/3.16 (assume @p655 (forall @t25 (= (tptp.c_Orderings_Oord__class_Omax @t23 @t104 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t18 @t19 tptp.tc_nat))))) % 2.96/3.16 (assume @p656 (forall @t25 (or (= @t365 @t506) @t507))) % 2.96/3.16 (assume @p657 (forall (@list @t561 @t129 @t132) (not (= @t562 @t133)))) % 2.96/3.16 (assume @p658 (forall (@list @t129 @t132 @t561) (not (= @t133 @t562)))) % 2.96/3.16 (assume @p659 (forall (@list @t449 @t451 @t448 @t19 @t450 @t447) (or (tptp.c_Natural_Oevaln @t452 @t448 @t19 @t450) (not (tptp.c_Natural_Oevaln @t451 @t447 @t19 @t450)) (not (tptp.c_Natural_Oevaln @t449 @t448 @t19 @t447))))) % 2.96/3.16 (assume @p660 (forall @t25 (= @t589 @t590))) % 2.96/3.16 (assume @p661 (forall @t25 (or @t560 (= @t23 @t19) @t59))) % 2.96/3.16 (assume @p662 (forall @t25 (or @t207 @t106))) % 2.96/3.16 (assume @p663 (forall @t108 (or @t105 @t206))) % 2.96/3.16 (assume @p664 (forall (@list @t557 @t448 @t19 @t447) (or (tptp.c_Natural_Oevaln @t559 @t448 @t104 @t447) (not (tptp.c_Natural_Oevaln @t565 @t448 @t19 @t447))))) % 2.96/3.16 (assume @p665 (forall @t292 (= (tptp.c_HOL_Ominus__class_Ominus @t24 @t499 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t22 @t46 tptp.tc_nat)))) % 2.96/3.16 (assume @p666 (forall (@list @t591 @t561) (or (not (= (tptp.c_Com_Ocom_OBODY @t591) @t562)) (= @t591 @t561)))) % 2.96/3.16 (assume @p667 (forall @t241 (tptp.c_lessequals @t104 @t104 tptp.tc_nat))) % 2.96/3.16 (assume @p668 (= (tptp.c_COMBI tptp.v_P tptp.t_a) tptp.v_P)) % 2.96/3.16 (assume @p669 (forall @t25 (= (tptp.c_Orderings_Oord__class_Omin @t23 @t104 tptp.tc_nat) (tptp.c_Suc @t539)))) % 2.96/3.16 (assume @p670 (forall (@list @t19 @t410 @t468 @t447) (or (= @t19 (tptp.c_Suc @t580)) @t579))) % 2.96/3.16 (assume @p671 (forall @t25 (or (= @t18 @t104) @t206 (not @t569)))) % 2.96/3.16 (assume @p672 (forall @t268 (or @t465 @t266))) % 2.96/3.16 (assume @p673 (forall @t25 (or @t59 @t541))) % 2.96/3.16 (assume @p674 (forall @t108 (or @t540 @t44))) % 2.96/3.16 (assume @p675 (forall @t563 (not (= tptp.c_Com_Ocom_OSKIP @t562)))) % 2.96/3.16 (assume @p676 (forall (@list @t469 @t468 @t19) (or @t532 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t468 @t19 @t469))))) % 2.96/3.16 (assume @p677 (forall (@list @t27 @t19) (or (tptp.c_HOL_Oord__class_Oless @t265 @t104 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t27 @t19 tptp.tc_nat))))) % 2.96/3.16 (assume @p678 (forall @t25 (or @t44 (not @t592)))) % 2.96/3.16 (assume @p679 (forall @t25 (or @t592 @t59))) % 2.96/3.16 (assume @p680 (forall (@list @t7 @t468 @t469 @t19) (or @t470 @t564))) % 2.96/3.16 (assume @p681 (forall (@list @t7 @t468 @t469 @t27) (or @t470 (not (tptp.c_Natural_Oevaln @t7 @t468 @t27 @t469))))) % 2.96/3.16 (assume @p682 @t594) % 2.96/3.16 (assume @p683 (or @t597 @t593)) % 2.96/3.16 (assume @p684 (or @t599 @t593)) % 2.96/3.16 (assume @p685 (or @t593 @t601)) % 2.96/3.16 (assume @p686 (or @t597 @t601)) % 2.96/3.16 (assume @p687 (or @t599 @t601)) % 2.96/3.16 (assume @p688 (or @t593 @t599)) % 2.96/3.16 (assume @p689 (or @t597 @t599)) % 2.96/3.16 (assume @p690 @t602) % 2.96/3.16 (assume @p691 @t615) % 2.96/3.16 (assume @p692 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 2.96/3.16 (assume @p693 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 2.96/3.16 (assume @p694 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 2.96/3.16 (assume @p695 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 2.96/3.16 (assume @p696 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 2.96/3.16 (assume @p697 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 2.96/3.16 (assume @p698 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 2.96/3.16 (assume @p699 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 2.96/3.16 (assume @p700 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 2.96/3.16 (assume @p701 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 2.96/3.16 (assume @p702 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 2.96/3.16 (assume @p703 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 2.96/3.16 (assume @p704 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 2.96/3.16 (assume @p705 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 2.96/3.16 (assume @p706 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 2.96/3.16 (assume @p707 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 2.96/3.16 (assume @p708 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 2.96/3.16 (assume @p709 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 2.96/3.16 (assume @p710 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 2.96/3.16 (assume @p711 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 2.96/3.16 (assume @p712 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 2.96/3.16 (assume @p713 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 2.96/3.16 (assume @p714 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 2.96/3.16 (assume @p715 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 2.96/3.16 (assume @p716 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 2.96/3.16 (assume @p717 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 2.96/3.16 (assume @p718 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 2.96/3.16 (step @p719 :rule instantiate :premises (@p664) :args ((@list tptp.v_pn tptp.v_xa tptp.v_n tptp.v_xb))) % 2.96/3.16 (step @p720 :rule cnf_or_pos :args (@t617)) % 2.96/3.16 (step @p721 :rule reordering :premises (@p720) :args ((or @t597 @t616 (not @t617)))) % 2.96/3.16 (step @p722 :rule chain_m_resolution :premises (@p721 @p719 @p686) :args (@t597 @t618 (@list @t617 @t601))) % 2.96/3.16 (step @p723 :rule aci_norm :args ((= @t594 @t593))) % 2.96/3.16 (step @p724 :rule eq_resolve :premises (@p682 @p723)) % 2.96/3.16 (step @p725 :rule aci_norm :args ((= @t602 @t599))) % 2.96/3.16 (step @p726 :rule eq_resolve :premises (@p690 @p725)) % 2.96/3.16 (step @p727 :rule cnf_or_pos :args (@t621)) % 2.96/3.16 (step @p728 :rule reordering :premises (@p727) :args ((or @t598 @t619 @t620 @t622))) % 2.96/3.16 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p724 @p722) :args (@t622 @t623 (@list @t598 @t593 @t597))) % 2.96/3.16 (assume-push @p818 @t625) % 2.96/3.16 (step @p731 :rule instantiate :premises (@p818) :args ((@list tptp.v_x tptp.v_xb tptp.v_xa))) % 2.96/3.16 (step-pop @p819 :rule scope :premises (@p731)) % 2.96/3.16 (step @p732 :rule process_scope :premises (@p819) :args (@t621)) % 2.96/3.16 (step @p734 :rule implies_elim :premises (@p732)) % 2.96/3.16 (step @p735 :rule chain_m_resolution :premises (@p734 @p729) :args (@t626 @t627 (@list @t621))) % 2.96/3.16 (step @p736 :rule quant-miniscope-or :args ((= (forall @t614 @t630) (or @t629 @t625)))) % 2.96/3.16 (step @p737 :rule aci_norm :args ((= @t613 @t630))) % 2.96/3.16 (step @p738 :rule cong :premises (@p737) :args (@t615)) % 2.96/3.16 (step @p739 :rule trans :premises (@p738 @p736)) % 2.96/3.16 (step @p740 :rule eq_resolve :premises (@p691 @p739)) % 2.96/3.16 (step @p741 :rule chain_m_resolution :premises (@p740 @p735) :args (@t629 @t627 @t631)) % 2.96/3.16 (step @p742 :rule eq-symm :args (@t574 @t570)) % 2.96/3.16 (step @p743 :rule eq-symm :args (@t575 @t571)) % 2.96/3.16 (step @p744 :rule cong :premises (@p743) :args (@t576)) % 2.96/3.16 (step @p745 :rule nary_cong :premises (@p744 @p742) :args (@t577)) % 2.96/3.16 (step @p746 :rule cong :premises (@p745) :args (@t578)) % 2.96/3.16 (step @p747 :rule eq_resolve :premises (@p645 @p746)) % 2.96/3.16 (step @p748 :rule instantiate :premises (@p747) :args ((@list @t634 tptp.v_n))) % 2.96/3.16 (step @p749 :rule instantiate :premises (@p670) :args ((@list @t595 tptp.v_pn @t633 @t632))) % 2.96/3.16 (step @p750 :rule refl :args (@t642)) % 2.96/3.16 (step @p751 :rule bool-double-not-elim :args (@t625)) % 2.96/3.16 (step @p752 :rule nary_cong :premises (@p751 @p750) :args ((or (not @t626) @t642))) % 2.96/3.16 (assume-push @p820 @t626) % 2.96/3.16 (step @p754 :rule skolemize :premises (@p820)) % 2.96/3.16 (step-pop @p821 :rule scope :premises (@p754)) % 2.96/3.16 (step @p755 :rule process_scope :premises (@p821) :args (@t642)) % 2.96/3.16 (step @p757 :rule implies_elim :premises (@p755)) % 2.96/3.16 (step @p758 :rule eq_resolve :premises (@p757 @p752)) % 2.96/3.16 (step @p759 :rule chain_m_resolution :premises (@p758 @p735) :args (@t642 @t627 @t631)) % 2.96/3.16 (step @p760 :rule bool-double-not-elim :args (@t638)) % 2.96/3.16 (step @p761 :rule refl :args (@t641)) % 2.96/3.16 (step @p762 :rule nary_cong :premises (@p761 @p760) :args ((or @t641 (not @t639)))) % 2.96/3.16 (step @p763 :rule cnf_or_neg :args (@t641 1)) % 2.96/3.16 (step @p764 :rule eq_resolve :premises (@p763 @p762)) % 2.96/3.16 (step @p765 :rule reordering :premises (@p764) :args ((or @t638 @t641))) % 2.96/3.16 (step @p766 :rule chain_m_resolution :premises (@p765 @p759) :args (@t638 @t627 @t643)) % 2.96/3.16 (step @p767 :rule cnf_or_pos :args (@t645)) % 2.96/3.16 (step @p768 :rule reordering :premises (@p767) :args ((or @t639 @t644 (not @t645)))) % 2.96/3.16 (step @p769 :rule chain_m_resolution :premises (@p768 @p766 @p749) :args (@t644 @t618 (@list @t638 @t645))) % 2.96/3.16 (step @p770 :rule cnf_or_pos :args (@t648)) % 2.96/3.16 (step @p771 :rule reordering :premises (@p770) :args ((or @t647 @t646 (not @t648)))) % 2.96/3.16 (step @p772 :rule chain_m_resolution :premises (@p771 @p769 @p748) :args (@t646 @t618 (@list @t644 @t648))) % 2.96/3.16 (step @p773 :rule instantiate :premises (@p647) :args ((@list tptp.v_pn @t633 @t595 @t632))) % 2.96/3.16 (step @p774 :rule cnf_or_pos :args (@t650)) % 2.96/3.16 (step @p775 :rule reordering :premises (@p774) :args ((or @t639 @t649 (not @t650)))) % 2.96/3.16 (step @p776 :rule chain_m_resolution :premises (@p775 @p766 @p773) :args (@t649 @t618 (@list @t638 @t650))) % 2.96/3.16 (assume-push @p822 @t649) % 2.96/3.16 (assume-push @p823 @t646) % 2.96/3.16 (assume-push @p824 @t649) % 2.96/3.16 (assume-push @p825 @t646) % 2.96/3.16 (step @p781 :rule true_intro :premises (@p822)) % 2.96/3.16 (step @p782 :rule refl :args (@t632)) % 2.96/3.16 (step @p783 :rule refl :args (@t633)) % 2.96/3.16 (step @p784 :rule refl :args (@t600)) % 2.96/3.16 (step @p785 :rule cong :premises (@p784 @p783 @p823 @p782) :args (@t651)) % 2.96/3.16 (step @p786 :rule trans :premises (@p785 @p781)) % 2.96/3.16 (step @p787 :rule true_elim :premises (@p786)) % 2.96/3.16 (step-pop @p826 :rule scope :premises (@p787)) % 2.96/3.16 (step-pop @p827 :rule scope :premises (@p826)) % 2.96/3.16 (step @p788 :rule process_scope :premises (@p827) :args (@t651)) % 2.96/3.16 (step @p791 :rule and_intro :premises (@p822 @p823)) % 2.96/3.16 (step @p792 :rule modus_ponens :premises (@p791 @p788)) % 2.96/3.16 (step-pop @p828 :rule scope :premises (@p792)) % 2.96/3.16 (step-pop @p829 :rule scope :premises (@p828)) % 2.96/3.16 (step @p793 :rule process_scope :premises (@p829) :args (@t651)) % 2.96/3.16 (step @p796 :rule implies_elim :premises (@p793)) % 2.96/3.16 (step @p797 :rule cnf_and_neg :args (@t652)) % 2.96/3.16 (step @p798 :rule resolution :premises (@p797 @p796) :args (true @t652)) % 2.96/3.16 (step @p799 :rule reordering :premises (@p798) :args ((or (not @t649) @t651 (not @t646)))) % 2.96/3.16 (step @p800 :rule chain_m_resolution :premises (@p799 @p776 @p772) :args (@t651 @t618 (@list @t649 @t646))) % 2.96/3.16 (step @p801 :rule bool-double-not-elim :args (@t636)) % 2.96/3.16 (step @p802 :rule nary_cong :premises (@p761 @p801) :args ((or @t641 (not @t637)))) % 2.96/3.16 (step @p803 :rule cnf_or_neg :args (@t641 2)) % 2.96/3.16 (step @p804 :rule eq_resolve :premises (@p803 @p802)) % 2.96/3.16 (step @p805 :rule reordering :premises (@p804) :args ((or @t636 @t641))) % 2.96/3.16 (step @p806 :rule chain_m_resolution :premises (@p805 @p759) :args (@t636 @t627 @t643)) % 2.96/3.16 (step @p807 :rule cnf_or_neg :args (@t641 0)) % 2.96/3.16 (step @p808 :rule chain_m_resolution :premises (@p807 @p759) :args ((not @t640) @t627 @t643)) % 2.96/3.16 (step @p809 :rule cnf_or_pos :args (@t654)) % 2.96/3.16 (step @p810 :rule reordering :premises (@p809) :args ((or @t640 @t637 @t653 @t655))) % 2.96/3.16 (step @p811 :rule chain_m_resolution :premises (@p810 @p808 @p806 @p800) :args (@t655 @t623 (@list @t640 @t636 @t651))) % 2.96/3.16 (assume-push @p830 @t629) % 2.96/3.16 (step @p813 :rule instantiate :premises (@p830) :args ((@list @t635 @t632 @t633))) % 2.96/3.16 (step-pop @p831 :rule scope :premises (@p813)) % 2.96/3.16 (step @p814 :rule process_scope :premises (@p831) :args (@t654)) % 2.96/3.16 (step @p816 :rule implies_elim :premises (@p814)) % 2.96/3.16 (step @p817 false :rule chain_m_resolution :premises (@p816 @p811 @p741) :args (false (@list true false) (@list @t654 @t629))) % 2.96/3.16 ) % 2.96/3.16 % SZS output end Proof % 2.96/3.16 % cvc5 exiting %------------------------------------------------------------------------------