%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV824-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:02:27 AM UTC 2026 % Result : Unsatisfiable 15.95s 16.13s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV824-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:15:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.66 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.61/15.87 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.13 % SZS status Unsatisfiable % 15.95/16.13 % SZS output start Proof % 15.95/16.15 ( % 15.95/16.15 (declare-sort $$unsorted 0) % 15.95/16.15 (declare-const tptp.v_fun2 (-> $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.v_com $$unsorted) % 15.95/16.15 (declare-const tptp.v_xb $$unsorted) % 15.95/16.15 (declare-const tptp.v_fun1 (-> $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Com_Ocom_OBODY (-> $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.v_n $$unsorted) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.tc_nat $$unsorted) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Orderings_Oord__class_Omin (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.v_xa $$unsorted) % 15.95/16.15 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.t_a $$unsorted) % 15.95/16.15 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.v_x $$unsorted) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 15.95/16.15 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.15 (define @t1 () (@var "V_m" $$unsorted)) % 15.95/16.15 (define @t2 () (@var "V_n" $$unsorted)) % 15.95/16.15 (define @t3 () (tptp.c_lessequals @t2 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t4 () (not @t3)) % 15.95/16.15 (define @t5 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t6 () (tptp.c_Suc @t1)) % 15.95/16.15 (define @t7 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t8 () (@list @t1 @t2)) % 15.95/16.15 (define @t9 () (@var "T_a" $$unsorted)) % 15.95/16.15 (define @t10 () (@var "V_y" $$unsorted)) % 15.95/16.15 (define @t11 () (@var "V_x" $$unsorted)) % 15.95/16.15 (define @t12 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t11 @t9)) % 15.95/16.15 (define @t13 () (tptp.c_HOL_Oplus__class_Oplus @t12 (tptp.c_HOL_Otimes__class_Otimes @t10 @t10 @t9) @t9)) % 15.95/16.15 (define @t14 () (tptp.c_HOL_Ozero__class_Ozero @t9)) % 15.95/16.15 (define @t15 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t9))) % 15.95/16.15 (define @t16 () (@list @t9 @t11 @t10)) % 15.95/16.15 (define @t17 () (@var "V_a" $$unsorted)) % 15.95/16.15 (define @t18 () (not (tptp.class_Divides_Osemiring__div @t9))) % 15.95/16.15 (define @t19 () (@list @t9 @t17)) % 15.95/16.15 (define @t20 () (@var "V_c" $$unsorted)) % 15.95/16.15 (define @t21 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t17 @t9)) % 15.95/16.15 (define @t22 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t20 @t9)) % 15.95/16.15 (define @t23 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t9))) % 15.95/16.15 (define @t24 () (@var "V_b" $$unsorted)) % 15.95/16.15 (define @t25 () (tptp.c_HOL_Oplus__class_Oplus @t24 @t17 @t9)) % 15.95/16.15 (define @t26 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t24 @t9)) % 15.95/16.15 (define @t27 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t9))) % 15.95/16.15 (define @t28 () (@list @t9 @t17 @t24)) % 15.95/16.15 (define @t29 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t30 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t31 () (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t32 () (@var "V_l" $$unsorted)) % 15.95/16.15 (define @t33 () (@var "V_k" $$unsorted)) % 15.95/16.15 (define @t34 () (not (tptp.c_HOL_Oord__class_Oless @t33 @t32 tptp.tc_nat))) % 15.95/16.15 (define @t35 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t36 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t10 @t9)) % 15.95/16.15 (define @t37 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 15.95/16.15 (define @t38 () (tptp.c_Suc @t37)) % 15.95/16.15 (define @t39 () (= @t1 @t38)) % 15.95/16.15 (define @t40 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t41 () (not (= @t40 @t38))) % 15.95/16.15 (define @t42 () (= @t2 @t38)) % 15.95/16.15 (define @t43 () (tptp.c_HOL_Oord__class_Oless @t37 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t44 () (not @t43)) % 15.95/16.15 (define @t45 () (tptp.c_Divides_Odiv__class_Omod @t1 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t46 () (not @t31)) % 15.95/16.15 (define @t47 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t48 () (tptp.c_HOL_Ominus__class_Ominus @t32 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t49 () (@list @t32 @t2 @t1)) % 15.95/16.15 (define @t50 () (= @t17 @t14)) % 15.95/16.15 (define @t51 () (not (tptp.class_Int_Onumber__ring @t9))) % 15.95/16.15 (define @t52 () (not (tptp.class_Ring__and__Field_Oidom @t9))) % 15.95/16.15 (define @t53 () (= @t2 @t37)) % 15.95/16.15 (define @t54 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t20 @t9)) % 15.95/16.15 (define @t55 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t20 @t9)) % 15.95/16.15 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t55 @t54 @t9)) % 15.95/16.15 (define @t57 () (not @t56)) % 15.95/16.15 (define @t58 () (not (tptp.c_lessequals @t14 @t20 @t9))) % 15.95/16.15 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t17 @t24 @t9)) % 15.95/16.15 (define @t60 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t9))) % 15.95/16.15 (define @t61 () (@list @t9 @t17 @t24 @t20)) % 15.95/16.15 (define @t62 () (@var "V_d" $$unsorted)) % 15.95/16.15 (define @t63 () (@var "V_e" $$unsorted)) % 15.95/16.15 (define @t64 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t63 @t9)) % 15.95/16.15 (define @t65 () (tptp.c_HOL_Oplus__class_Oplus @t64 @t62 @t9)) % 15.95/16.15 (define @t66 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t63 @t9)) % 15.95/16.15 (define @t67 () (tptp.c_HOL_Oplus__class_Oplus @t66 @t20 @t9)) % 15.95/16.15 (define @t68 () (tptp.c_lessequals @t67 @t65 @t9)) % 15.95/16.15 (define @t69 () (not @t68)) % 15.95/16.15 (define @t70 () (tptp.c_HOL_Ominus__class_Ominus @t17 @t24 @t9)) % 15.95/16.15 (define @t71 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t70 @t63 @t9) @t20 @t9)) % 15.95/16.15 (define @t72 () (tptp.c_lessequals @t71 @t62 @t9)) % 15.95/16.15 (define @t73 () (not (tptp.class_Ring__and__Field_Opordered__ring @t9))) % 15.95/16.15 (define @t74 () (@list @t9 @t17 @t24 @t63 @t20 @t62)) % 15.95/16.15 (define @t75 () (@list @t9 @t17 @t63 @t20 @t24 @t62)) % 15.95/16.15 (define @t76 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes (tptp.c_HOL_Ominus__class_Ominus @t24 @t17 @t9) @t63 @t9) @t62 @t9)) % 15.95/16.15 (define @t77 () (tptp.c_lessequals @t20 @t76 @t9)) % 15.95/16.15 (define @t78 () (@list @t9 @t20 @t24 @t17 @t63 @t62)) % 15.95/16.15 (define @t79 () (@var "V_j" $$unsorted)) % 15.95/16.15 (define @t80 () (@var "V_i" $$unsorted)) % 15.95/16.15 (define @t81 () (not (tptp.c_HOL_Oord__class_Oless @t80 @t79 tptp.tc_nat))) % 15.95/16.15 (define @t82 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t79 tptp.tc_nat)) % 15.95/16.15 (define @t83 () (@list @t80 @t1 @t79)) % 15.95/16.15 (define @t84 () (tptp.c_HOL_Oplus__class_Oplus @t79 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t85 () (@list @t80 @t79 @t1)) % 15.95/16.15 (define @t86 () (tptp.c_HOL_Oplus__class_Oplus @t80 @t79 tptp.tc_nat)) % 15.95/16.15 (define @t87 () (@list @t80 @t33 @t79)) % 15.95/16.15 (define @t88 () (@var "V_z" $$unsorted)) % 15.95/16.15 (define @t89 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t88 tptp.tc_nat)) % 15.95/16.15 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t11 @t89 tptp.tc_nat)) % 15.95/16.15 (define @t91 () (@list @t11 @t10 @t88)) % 15.95/16.15 (define @t92 () (tptp.c_HOL_Oord__class_Oless @t11 @t10 tptp.tc_nat)) % 15.95/16.15 (define @t93 () (not @t92)) % 15.95/16.15 (define @t94 () (tptp.c_Suc @t2)) % 15.95/16.15 (define @t95 () (tptp.c_lessequals @t94 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t96 () (not @t95)) % 15.95/16.15 (define @t97 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t98 () (@list @t2 @t1)) % 15.95/16.15 (define @t99 () (tptp.c_lessequals @t6 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t100 () (not @t99)) % 15.95/16.15 (define @t101 () (tptp.c_lessequals @t24 @t17 @t9)) % 15.95/16.15 (define @t102 () (not @t101)) % 15.95/16.15 (define @t103 () (tptp.c_lessequals @t24 @t22 @t9)) % 15.95/16.15 (define @t104 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t9))) % 15.95/16.15 (define @t105 () (@list @t9 @t24 @t17 @t20)) % 15.95/16.15 (define @t106 () (tptp.c_lessequals @t14 @t17 @t9)) % 15.95/16.15 (define @t107 () (not @t106)) % 15.95/16.15 (define @t108 () (not (tptp.c_lessequals @t24 @t20 @t9))) % 15.95/16.15 (define @t109 () (tptp.c_Orderings_Oord__class_Omin @t11 @t88 @t9)) % 15.95/16.15 (define @t110 () (tptp.c_Orderings_Oord__class_Omin @t11 @t10 @t9)) % 15.95/16.15 (define @t111 () (tptp.c_Orderings_Oord__class_Omax @t110 @t109 @t9)) % 15.95/16.15 (define @t112 () (tptp.c_Orderings_Oord__class_Omax @t10 @t88 @t9)) % 15.95/16.15 (define @t113 () (tptp.c_Orderings_Oord__class_Omin @t11 @t112 @t9)) % 15.95/16.15 (define @t114 () (not (tptp.class_Orderings_Olinorder @t9))) % 15.95/16.15 (define @t115 () (@list @t9 @t11 @t10 @t88)) % 15.95/16.15 (define @t116 () (tptp.c_Orderings_Oord__class_Omin @t10 @t11 @t9)) % 15.95/16.15 (define @t117 () (@list @t9 @t10 @t88 @t11)) % 15.95/16.15 (define @t118 () (@var "V_com1_H" $$unsorted)) % 15.95/16.15 (define @t119 () (@var "V_com1" $$unsorted)) % 15.95/16.15 (define @t120 () (@var "V_com2_H" $$unsorted)) % 15.95/16.15 (define @t121 () (tptp.c_Com_Ocom_OSemi @t118 @t120)) % 15.95/16.15 (define @t122 () (@var "V_com2" $$unsorted)) % 15.95/16.15 (define @t123 () (tptp.c_Com_Ocom_OSemi @t119 @t122)) % 15.95/16.15 (define @t124 () (not (= @t123 @t121))) % 15.95/16.15 (define @t125 () (@list @t119 @t122 @t118 @t120)) % 15.95/16.15 (define @t126 () (tptp.c_Orderings_Oord__class_Omax @t11 @t10 @t9)) % 15.95/16.15 (define @t127 () (@list @t9 @t10 @t11)) % 15.95/16.15 (define @t128 () (tptp.c_lessequals @t17 @t11 @t9)) % 15.95/16.15 (define @t129 () (not @t128)) % 15.95/16.15 (define @t130 () (tptp.c_lessequals @t24 @t11 @t9)) % 15.95/16.15 (define @t131 () (not @t130)) % 15.95/16.15 (define @t132 () (tptp.c_Orderings_Oord__class_Omax @t17 @t24 @t9)) % 15.95/16.15 (define @t133 () (tptp.c_lessequals @t132 @t11 @t9)) % 15.95/16.15 (define @t134 () (@list @t9 @t17 @t24 @t11)) % 15.95/16.15 (define @t135 () (tptp.c_lessequals @t10 @t11 @t9)) % 15.95/16.15 (define @t136 () (not @t135)) % 15.95/16.15 (define @t137 () (tptp.c_lessequals @t88 @t11 @t9)) % 15.95/16.15 (define @t138 () (not @t137)) % 15.95/16.15 (define @t139 () (tptp.c_lessequals @t11 @t88 @t9)) % 15.95/16.15 (define @t140 () (not @t139)) % 15.95/16.15 (define @t141 () (tptp.c_lessequals @t10 @t88 @t9)) % 15.95/16.15 (define @t142 () (not @t141)) % 15.95/16.15 (define @t143 () (tptp.c_lessequals @t126 @t88 @t9)) % 15.95/16.15 (define @t144 () (not (tptp.c_lessequals @t33 @t79 tptp.tc_nat))) % 15.95/16.15 (define @t145 () (tptp.c_HOL_Oplus__class_Oplus @t80 @t33 tptp.tc_nat)) % 15.95/16.15 (define @t146 () (tptp.c_lessequals @t145 @t79 tptp.tc_nat)) % 15.95/16.15 (define @t147 () (tptp.c_HOL_Ominus__class_Ominus @t79 @t33 tptp.tc_nat)) % 15.95/16.15 (define @t148 () (tptp.c_lessequals @t80 @t147 tptp.tc_nat)) % 15.95/16.15 (define @t149 () (@list @t80 @t79 @t33)) % 15.95/16.15 (define @t150 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t11 tptp.tc_nat)) % 15.95/16.15 (define @t151 () (@list @t1 @t11)) % 15.95/16.15 (define @t152 () (@list @t80 @t1)) % 15.95/16.15 (define @t153 () (not (= @t67 @t65))) % 15.95/16.15 (define @t154 () (not (tptp.class_Ring__and__Field_Oring @t9))) % 15.95/16.15 (define @t155 () (not (tptp.c_lessequals @t80 @t79 tptp.tc_nat))) % 15.95/16.15 (define @t156 () (@var "V_u" $$unsorted)) % 15.95/16.15 (define @t157 () (tptp.c_HOL_Ominus__class_Ominus @t79 @t80 tptp.tc_nat)) % 15.95/16.15 (define @t158 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t157 @t156 tptp.tc_nat) @t2 tptp.tc_nat)) % 15.95/16.15 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t1 @t158 tptp.tc_nat)) % 15.95/16.15 (define @t160 () (tptp.c_HOL_Otimes__class_Otimes @t79 @t156 tptp.tc_nat)) % 15.95/16.15 (define @t161 () (tptp.c_HOL_Oplus__class_Oplus @t160 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t162 () (tptp.c_HOL_Otimes__class_Otimes @t80 @t156 tptp.tc_nat)) % 15.95/16.15 (define @t163 () (tptp.c_HOL_Oplus__class_Oplus @t162 @t1 tptp.tc_nat)) % 15.95/16.15 (define @t164 () (tptp.c_HOL_Oord__class_Oless @t163 @t161 tptp.tc_nat)) % 15.95/16.15 (define @t165 () (@list @t80 @t156 @t1 @t79 @t2)) % 15.95/16.15 (define @t166 () (not @t164)) % 15.95/16.15 (define @t167 () (@list @t1 @t79 @t80 @t156 @t2)) % 15.95/16.15 (define @t168 () (not (tptp.c_lessequals @t79 @t80 tptp.tc_nat))) % 15.95/16.15 (define @t169 () (tptp.c_HOL_Ominus__class_Ominus @t80 @t79 tptp.tc_nat)) % 15.95/16.15 (define @t170 () (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t169 @t156 tptp.tc_nat) @t1 tptp.tc_nat)) % 15.95/16.15 (define @t171 () (tptp.c_HOL_Oord__class_Oless @t170 @t2 tptp.tc_nat)) % 15.95/16.15 (define @t172 () (@list @t80 @t79 @t156 @t1 @t2)) % 15.95/16.15 (define @t173 () (not @t59)) % 15.95/16.15 (define @t174 () (not (tptp.c_HOL_Oord__class_Oless @t20 @t62 @t9))) % 15.95/16.15 (define @t175 () (tptp.c_HOL_Oord__class_Oless @t14 @t24 @t9)) % 15.95/16.15 (define @t176 () (not @t175)) % 15.95/16.15 (define @t177 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t62 @t9)) % 15.95/16.15 (define @t178 () (tptp.c_HOL_Oord__class_Oless @t55 @t177 @t9)) % 15.95/16.15 (define @t179 () (@list @t9 @t17 @t20 @t24 @t62)) % 15.95/16.15 (define @t180 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t24 @t9)) % 15.95/16.15 (define @t181 () (tptp.c_Divides_Odiv__class_Omod @t180 @t20 @t9)) % 15.95/16.15 (define @t182 () (tptp.c_Divides_Odiv__class_Omod @t17 @t20 @t9)) % 15.95/16.15 (define @t183 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t182 @t24 @t9) @t20 @t9)) % 15.95/16.16 (define @t184 () (@list @t9 @t17 @t20 @t24)) % 15.95/16.16 (define @t185 () (tptp.c_lessequals @t11 @t17 @t9)) % 15.95/16.16 (define @t186 () (not @t185)) % 15.95/16.16 (define @t187 () (tptp.c_lessequals @t11 @t24 @t9)) % 15.95/16.16 (define @t188 () (not @t187)) % 15.95/16.16 (define @t189 () (tptp.c_Orderings_Oord__class_Omin @t17 @t24 @t9)) % 15.95/16.16 (define @t190 () (tptp.c_lessequals @t11 @t189 @t9)) % 15.95/16.16 (define @t191 () (@list @t9 @t11 @t17 @t24)) % 15.95/16.16 (define @t192 () (tptp.c_lessequals @t11 @t10 @t9)) % 15.95/16.16 (define @t193 () (not @t192)) % 15.95/16.16 (define @t194 () (tptp.c_Orderings_Oord__class_Omin @t10 @t88 @t9)) % 15.95/16.16 (define @t195 () (tptp.c_lessequals @t11 @t194 @t9)) % 15.95/16.16 (define @t196 () (tptp.c_lessequals @t1 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t197 () (not @t196)) % 15.95/16.16 (define @t198 () (= @t5 @t37)) % 15.95/16.16 (define @t199 () (not @t198)) % 15.95/16.16 (define @t200 () (tptp.c_HOL_Ominus__class_Ominus @t10 @t88 @t9)) % 15.95/16.16 (define @t201 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t88 @t9)) % 15.95/16.16 (define @t202 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t9))) % 15.95/16.16 (define @t203 () (tptp.c_HOL_Oord__class_Oless @t11 @t88 @t9)) % 15.95/16.16 (define @t204 () (not @t203)) % 15.95/16.16 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t10 @t88 @t9)) % 15.95/16.16 (define @t206 () (not @t205)) % 15.95/16.16 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t126 @t88 @t9)) % 15.95/16.16 (define @t208 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t209 () (tptp.c_Suc @t79)) % 15.95/16.16 (define @t210 () (tptp.c_Suc @t147)) % 15.95/16.16 (define @t211 () (tptp.c_HOL_Oord__class_Oless @t14 @t17 @t9)) % 15.95/16.16 (define @t212 () (not @t211)) % 15.95/16.16 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t24 @t22 @t9)) % 15.95/16.16 (define @t214 () (tptp.c_HOL_Oplus__class_Oplus @t38 @t37 tptp.tc_nat)) % 15.95/16.16 (define @t215 () (tptp.c_Divides_Odiv__class_Omod @t17 @t24 @t9)) % 15.95/16.16 (define @t216 () (tptp.c_HOL_Oord__class_Oless @t88 @t11 @t9)) % 15.95/16.16 (define @t217 () (not @t216)) % 15.95/16.16 (define @t218 () (tptp.c_HOL_Oord__class_Oless @t88 @t10 @t9)) % 15.95/16.16 (define @t219 () (not @t218)) % 15.95/16.16 (define @t220 () (tptp.c_HOL_Oord__class_Oless @t88 @t110 @t9)) % 15.95/16.16 (define @t221 () (@list @t9 @t88 @t11 @t10)) % 15.95/16.16 (define @t222 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t10 tptp.tc_nat)) % 15.95/16.16 (define @t223 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t88 tptp.tc_nat)) % 15.95/16.16 (define @t224 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t20 tptp.tc_nat)) % 15.95/16.16 (define @t225 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t62 tptp.tc_nat)) % 15.95/16.16 (define @t226 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t20 @t9)) % 15.95/16.16 (define @t227 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t62 @t9)) % 15.95/16.16 (define @t228 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t10 @t9)) % 15.95/16.16 (define @t229 () (tptp.c_HOL_Otimes__class_Otimes @t11 @t88 @t9)) % 15.95/16.16 (define @t230 () (tptp.c_HOL_Oplus__class_Oplus @t228 @t229 @t9)) % 15.95/16.16 (define @t231 () (@list @t2)) % 15.95/16.16 (define @t232 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t17 @t9)) % 15.95/16.16 (define @t233 () (tptp.c_lessequals @t14 @t232 @t9)) % 15.95/16.16 (define @t234 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t9))) % 15.95/16.16 (define @t235 () (tptp.c_HOL_Ominus__class_Ominus @t163 @t161 tptp.tc_nat)) % 15.95/16.16 (define @t236 () (not (tptp.class_OrderedGroup_Ogroup__add @t9))) % 15.95/16.16 (define @t237 () (tptp.c_HOL_Oord__class_Oless @t37 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t238 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t239 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t240 () (tptp.c_lessequals @t239 @t238 tptp.tc_nat)) % 15.95/16.16 (define @t241 () (@list @t1 @t33 @t2)) % 15.95/16.16 (define @t242 () (tptp.c_HOL_Otimes__class_Otimes @t33 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t243 () (tptp.c_HOL_Otimes__class_Otimes @t33 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t244 () (tptp.c_lessequals @t243 @t242 tptp.tc_nat)) % 15.95/16.16 (define @t245 () (@list @t33 @t1 @t2)) % 15.95/16.16 (define @t246 () (@var "V_pname_H" $$unsorted)) % 15.95/16.16 (define @t247 () (tptp.c_Com_Ocom_OBODY @t246)) % 15.95/16.16 (define @t248 () (not (tptp.c_lessequals @t33 @t32 tptp.tc_nat))) % 15.95/16.16 (define @t249 () (tptp.c_HOL_Oplus__class_Oplus @t79 @t32 tptp.tc_nat)) % 15.95/16.16 (define @t250 () (@list @t80 @t33 @t79 @t32)) % 15.95/16.16 (define @t251 () (tptp.c_lessequals @t17 @t24 @t9)) % 15.95/16.16 (define @t252 () (not @t251)) % 15.95/16.16 (define @t253 () (not (tptp.c_lessequals @t20 @t62 @t9))) % 15.95/16.16 (define @t254 () (tptp.c_HOL_Oplus__class_Oplus @t24 @t62 @t9)) % 15.95/16.16 (define @t255 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t9))) % 15.95/16.16 (define @t256 () (tptp.c_HOL_Oord__class_Oless @t1 @t94 tptp.tc_nat)) % 15.95/16.16 (define @t257 () (not @t256)) % 15.95/16.16 (define @t258 () (tptp.c_Suc @t11)) % 15.95/16.16 (define @t259 () (tptp.c_HOL_Oord__class_Oless @t11 @t258 tptp.tc_nat)) % 15.95/16.16 (define @t260 () (tptp.c_lessequals @t11 @t11 tptp.tc_nat)) % 15.95/16.16 (define @t261 () (@list @t11)) % 15.95/16.16 (define @t262 () (tptp.c_HOL_Otimes__class_Otimes @t2 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t263 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t14 @t9) @t14)) % 15.95/16.16 (define @t264 () (@list @t9)) % 15.95/16.16 (define @t265 () (not (tptp.c_lessequals @t14 @t14 @t9))) % 15.95/16.16 (define @t266 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t9))) % 15.95/16.16 (define @t267 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t17 @t9)) % 15.95/16.16 (define @t268 () (tptp.c_Divides_Odiv__class_Omod @t24 @t20 @t9)) % 15.95/16.16 (define @t269 () (tptp.c_Divides_Odiv__class_Omod @t26 @t20 @t9)) % 15.95/16.16 (define @t270 () (tptp.c_lessequals @t14 @t24 @t9)) % 15.95/16.16 (define @t271 () (not @t270)) % 15.95/16.16 (define @t272 () (tptp.c_HOL_Oord__class_Oless @t11 @t10 @t9)) % 15.95/16.16 (define @t273 () (not @t272)) % 15.95/16.16 (define @t274 () (not (tptp.class_Orderings_Opreorder @t9))) % 15.95/16.16 (define @t275 () (@list @t9 @t11 @t88 @t10)) % 15.95/16.16 (define @t276 () (tptp.c_HOL_Oord__class_Oless @t10 @t11 @t9)) % 15.95/16.16 (define @t277 () (not @t276)) % 15.95/16.16 (define @t278 () (not (tptp.class_Orderings_Oorder @t9))) % 15.95/16.16 (define @t279 () (= @t126 @t10)) % 15.95/16.16 (define @t280 () (tptp.c_HOL_Oplus__class_Oplus @t10 @t88 @t9)) % 15.95/16.16 (define @t281 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t280 @t9)) % 15.95/16.16 (define @t282 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t88 @t9)) % 15.95/16.16 (define @t283 () (not (tptp.class_OrderedGroup_Oab__group__add @t9))) % 15.95/16.16 (define @t284 () (tptp.c_HOL_Oplus__class_Oplus @t11 @t88 tptp.tc_nat)) % 15.95/16.16 (define @t285 () (tptp.c_HOL_Oplus__class_Oplus @t2 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t286 () (@list @t1 @t2 @t33)) % 15.95/16.16 (define @t287 () (tptp.c_HOL_Oplus__class_Oplus @t24 @t20 @t9)) % 15.95/16.16 (define @t288 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t287 @t9)) % 15.95/16.16 (define @t289 () (tptp.c_HOL_Oplus__class_Oplus @t26 @t20 @t9)) % 15.95/16.16 (define @t290 () (= @t289 @t288)) % 15.95/16.16 (define @t291 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t62 @t9)) % 15.95/16.16 (define @t292 () (tptp.c_HOL_Oplus__class_Oplus @t17 @t291 @t9)) % 15.95/16.16 (define @t293 () (@list @t9 @t17 @t20 @t62)) % 15.95/16.16 (define @t294 () (tptp.c_HOL_Oord__class_Oless @t37 @t30 tptp.tc_nat)) % 15.95/16.16 (define @t295 () (tptp.c_HOL_Oord__class_Oless @t37 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t296 () (@list @t1)) % 15.95/16.16 (define @t297 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t24 @t9)) % 15.95/16.16 (define @t298 () (tptp.c_HOL_Otimes__class_Otimes @t20 @t17 @t9)) % 15.95/16.16 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t298 @t297 @t9)) % 15.95/16.16 (define @t300 () (not @t299)) % 15.95/16.16 (define @t301 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t9))) % 15.95/16.16 (define @t302 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t11 @t9)) % 15.95/16.16 (define @t303 () (= @t302 @t14)) % 15.95/16.16 (define @t304 () (@list @t9 @t11)) % 15.95/16.16 (define @t305 () (tptp.c_lessequals @t88 @t126 @t9)) % 15.95/16.16 (define @t306 () (tptp.c_lessequals @t88 @t10 @t9)) % 15.95/16.16 (define @t307 () (@list @t9 @t88 @t10 @t11)) % 15.95/16.16 (define @t308 () (= @t33 @t37)) % 15.95/16.16 (define @t309 () (= @t1 @t2)) % 15.95/16.16 (define @t310 () (not (= @t243 @t242))) % 15.95/16.16 (define @t311 () (not @t195)) % 15.95/16.16 (define @t312 () (tptp.c_lessequals @t110 @t88 @t9)) % 15.95/16.16 (define @t313 () (tptp.c_lessequals @t189 @t11 @t9)) % 15.95/16.16 (define @t314 () (not @t190)) % 15.95/16.16 (define @t315 () (= @t10 @t14)) % 15.95/16.16 (define @t316 () (not (tptp.c_lessequals @t14 @t11 @t9))) % 15.95/16.16 (define @t317 () (not (tptp.c_lessequals @t14 @t10 @t9))) % 15.95/16.16 (define @t318 () (not (= @t36 @t14))) % 15.95/16.16 (define @t319 () (= @t11 @t14)) % 15.95/16.16 (define @t320 () (= @t1 @t37)) % 15.95/16.16 (define @t321 () (not (= @t30 @t37))) % 15.95/16.16 (define @t322 () (tptp.c_HOL_Oord__class_Oless @t20 @t76 @t9)) % 15.95/16.16 (define @t323 () (tptp.c_HOL_Oord__class_Oless @t67 @t65 @t9)) % 15.95/16.16 (define @t324 () (not @t323)) % 15.95/16.16 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t71 @t62 @t9)) % 15.95/16.16 (define @t326 () (= @t45 (tptp.c_Divides_Odiv__class_Omod @t5 @t2 tptp.tc_nat))) % 15.95/16.16 (define @t327 () (not (= @t163 @t161))) % 15.95/16.16 (define @t328 () (= @t24 @t14)) % 15.95/16.16 (define @t329 () (not (= @t180 @t14))) % 15.95/16.16 (define @t330 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t9))) % 15.95/16.16 (define @t331 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t9))) % 15.95/16.16 (define @t332 () (@var "V_b_H" $$unsorted)) % 15.95/16.16 (define @t333 () (@var "V_a_H" $$unsorted)) % 15.95/16.16 (define @t334 () (not (= @t182 (tptp.c_Divides_Odiv__class_Omod @t333 @t20 @t9)))) % 15.95/16.16 (define @t335 () (not (= @t268 (tptp.c_Divides_Odiv__class_Omod @t332 @t20 @t9)))) % 15.95/16.16 (define @t336 () (@list @t9 @t24 @t20 @t332 @t17 @t333)) % 15.95/16.16 (define @t337 () (tptp.c_HOL_Oord__class_Oless @t17 @t14 @t9)) % 15.95/16.16 (define @t338 () (not @t337)) % 15.95/16.16 (define @t339 () (tptp.c_HOL_Oord__class_Oless @t232 @t14 @t9)) % 15.95/16.16 (define @t340 () (not @t339)) % 15.95/16.16 (define @t341 () (not (tptp.class_Ring__and__Field_Oordered__idom @t9))) % 15.95/16.16 (define @t342 () (not (= @t38 @t30))) % 15.95/16.16 (define @t343 () (@list @t9 @t24 @t17)) % 15.95/16.16 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t14 @t180 @t9)) % 15.95/16.16 (define @t345 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t14 @t9))) % 15.95/16.16 (define @t346 () (not @t295)) % 15.95/16.16 (define @t347 () (tptp.c_HOL_Oord__class_Oless @t37 @t40 tptp.tc_nat)) % 15.95/16.16 (define @t348 () (not @t143)) % 15.95/16.16 (define @t349 () (not @t306)) % 15.95/16.16 (define @t350 () (tptp.c_lessequals @t11 @t132 @t9)) % 15.95/16.16 (define @t351 () (not @t133)) % 15.95/16.16 (define @t352 () (tptp.c_lessequals @t147 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t353 () (tptp.c_lessequals @t79 @t145 tptp.tc_nat)) % 15.95/16.16 (define @t354 () (@list @t79 @t80 @t33)) % 15.95/16.16 (define @t355 () (@list @t79 @t33 @t80)) % 15.95/16.16 (define @t356 () (tptp.c_HOL_Oord__class_Oless @t88 @t126 @t9)) % 15.95/16.16 (define @t357 () (tptp.c_lessequals @t163 @t161 tptp.tc_nat)) % 15.95/16.16 (define @t358 () (not @t357)) % 15.95/16.16 (define @t359 () (tptp.c_lessequals @t170 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t360 () (tptp.c_lessequals @t1 @t158 tptp.tc_nat)) % 15.95/16.16 (define @t361 () (tptp.c_Divides_Odiv__class_Omod @t6 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t362 () (tptp.c_HOL_Oplus__class_Oplus @t242 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t363 () (@list @t33 @t2 @t1)) % 15.95/16.16 (define @t364 () (tptp.c_HOL_Oord__class_Oless @t110 @t88 @t9)) % 15.95/16.16 (define @t365 () (@var "V_w" $$unsorted)) % 15.95/16.16 (define @t366 () (= @t365 @t11)) % 15.95/16.16 (define @t367 () (= @t10 @t88)) % 15.95/16.16 (define @t368 () (= @t17 @t24)) % 15.95/16.16 (define @t369 () (= @t20 @t62)) % 15.95/16.16 (define @t370 () (tptp.c_HOL_Otimes__class_Otimes @t24 @t20 tptp.tc_nat)) % 15.95/16.16 (define @t371 () (tptp.c_lessequals @t17 @t14 @t9)) % 15.95/16.16 (define @t372 () (not @t371)) % 15.95/16.16 (define @t373 () (tptp.c_HOL_Oord__class_Oless @t26 @t14 @t9)) % 15.95/16.16 (define @t374 () (tptp.c_lessequals @t24 @t14 @t9)) % 15.95/16.16 (define @t375 () (not @t374)) % 15.95/16.16 (define @t376 () (tptp.c_HOL_Otimes__class_Otimes @t14 @t14 @t9)) % 15.95/16.16 (define @t377 () (tptp.c_HOL_Oplus__class_Oplus @t376 @t376 @t9)) % 15.95/16.16 (define @t378 () (tptp.c_HOL_Oplus__class_Oplus @t80 @t147 tptp.tc_nat)) % 15.95/16.16 (define @t379 () (tptp.c_HOL_Ominus__class_Ominus @t86 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t380 () (tptp.c_HOL_Oplus__class_Oplus @t147 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t381 () (tptp.c_HOL_Oplus__class_Oplus @t79 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t382 () (tptp.c_HOL_Ominus__class_Ominus @t381 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t383 () (@var "V_ry" $$unsorted)) % 15.95/16.16 (define @t384 () (@var "V_ly" $$unsorted)) % 15.95/16.16 (define @t385 () (@var "V_rx" $$unsorted)) % 15.95/16.16 (define @t386 () (@var "V_lx" $$unsorted)) % 15.95/16.16 (define @t387 () (tptp.c_HOL_Otimes__class_Otimes @t386 @t385 @t9)) % 15.95/16.16 (define @t388 () (tptp.c_HOL_Otimes__class_Otimes @t385 @t383 @t9)) % 15.95/16.16 (define @t389 () (tptp.c_HOL_Otimes__class_Otimes @t386 @t384 @t9)) % 15.95/16.16 (define @t390 () (tptp.c_HOL_Otimes__class_Otimes @t389 @t388 @t9)) % 15.95/16.16 (define @t391 () (@list @t9 @t386 @t384 @t385 @t383)) % 15.95/16.16 (define @t392 () (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t17 @t9) @t14)) % 15.95/16.16 (define @t393 () (= (tptp.c_HOL_Otimes__class_Otimes @t17 @t14 @t9) @t14)) % 15.95/16.16 (define @t394 () (not (tptp.class_Ring__and__Field_Omult__zero @t9))) % 15.95/16.16 (define @t395 () (tptp.c_HOL_Otimes__class_Otimes @t37 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t396 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t37 tptp.tc_nat)) % 15.95/16.16 (define @t397 () (tptp.c_lessequals @t38 @t40 tptp.tc_nat)) % 15.95/16.16 (define @t398 () (not @t397)) % 15.95/16.16 (define @t399 () (tptp.c_lessequals @t38 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t400 () (tptp.c_lessequals @t38 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t401 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t402 () (not (tptp.c_lessequals @t401 @t2 tptp.tc_nat))) % 15.95/16.16 (define @t403 () (tptp.c_lessequals @t33 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t404 () (tptp.c_lessequals @t11 @t89 tptp.tc_nat)) % 15.95/16.16 (define @t405 () (tptp.c_lessequals @t11 @t10 tptp.tc_nat)) % 15.95/16.16 (define @t406 () (tptp.c_Divides_Odiv__class_Omod @t70 @t20 @t9)) % 15.95/16.16 (define @t407 () (not (tptp.class_Divides_Oring__div @t9))) % 15.95/16.16 (define @t408 () (= @t110 @t11)) % 15.95/16.16 (define @t409 () (tptp.c_HOL_Oord__class_Oless @t11 @t11 @t9)) % 15.95/16.16 (define @t410 () (not @t409)) % 15.95/16.16 (define @t411 () (tptp.c_lessequals @t11 @t11 @t9)) % 15.95/16.16 (define @t412 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t182 @t24 @t9) @t20 @t9)) % 15.95/16.16 (define @t413 () (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t17 @t268 @t9) @t20 @t9)) % 15.95/16.16 (define @t414 () (tptp.c_Orderings_Oord__class_Omin @t11 @t194 @t9)) % 15.95/16.16 (define @t415 () (tptp.c_HOL_Oplus__class_Oplus @t37 @t38 tptp.tc_nat)) % 15.95/16.16 (define @t416 () (not (tptp.c_HOL_Oord__class_Oless @t24 @t20 @t9))) % 15.95/16.16 (define @t417 () (not (tptp.c_lessequals @t33 @t1 tptp.tc_nat))) % 15.95/16.16 (define @t418 () (not @t403)) % 15.95/16.16 (define @t419 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t420 () (tptp.c_HOL_Ominus__class_Ominus @t1 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t421 () (tptp.c_lessequals @t420 @t419 tptp.tc_nat)) % 15.95/16.16 (define @t422 () (tptp.c_HOL_Oplus__class_Oplus @t79 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t423 () (tptp.c_HOL_Ominus__class_Ominus @t169 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t424 () (@var "V_xa" $$unsorted)) % 15.95/16.16 (define @t425 () (@var "V_y_H" $$unsorted)) % 15.95/16.16 (define @t426 () (@var "V_x_H" $$unsorted)) % 15.95/16.16 (define @t427 () (tptp.c_HOL_Ominus__class_Ominus @t426 @t425 @t9)) % 15.95/16.16 (define @t428 () (not @t237)) % 15.95/16.16 (define @t429 () (tptp.c_HOL_Oord__class_Oless @t239 @t238 tptp.tc_nat)) % 15.95/16.16 (define @t430 () (not @t429)) % 15.95/16.16 (define @t431 () (tptp.c_HOL_Oord__class_Oless @t243 @t242 tptp.tc_nat)) % 15.95/16.16 (define @t432 () (not @t431)) % 15.95/16.16 (define @t433 () (not @t244)) % 15.95/16.16 (define @t434 () (tptp.c_HOL_Oord__class_Oless @t20 @t14 @t9)) % 15.95/16.16 (define @t435 () (not @t434)) % 15.95/16.16 (define @t436 () (tptp.c_lessequals @t298 @t297 @t9)) % 15.95/16.16 (define @t437 () (not @t436)) % 15.95/16.16 (define @t438 () (@list @t9 @t20 @t17 @t24)) % 15.95/16.16 (define @t439 () (tptp.c_HOL_Oord__class_Oless @t14 @t20 @t9)) % 15.95/16.16 (define @t440 () (not @t439)) % 15.95/16.16 (define @t441 () (tptp.c_lessequals @t55 @t54 @t9)) % 15.95/16.16 (define @t442 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t2 tptp.tc_nat))) % 15.95/16.16 (define @t443 () (not (tptp.c_HOL_Oord__class_Oless @t38 @t1 tptp.tc_nat))) % 15.95/16.16 (define @t444 () (@var "V_s1" $$unsorted)) % 15.95/16.16 (define @t445 () (@var "V_s0" $$unsorted)) % 15.95/16.16 (define @t446 () (@var "V_c0" $$unsorted)) % 15.95/16.16 (define @t447 () (@var "V_s2" $$unsorted)) % 15.95/16.16 (define @t448 () (@var "V_c1" $$unsorted)) % 15.95/16.16 (define @t449 () (tptp.c_Com_Ocom_OSemi @t446 @t448)) % 15.95/16.16 (define @t450 () (tptp.c_HOL_Oord__class_Oless @t11 @t132 @t9)) % 15.95/16.16 (define @t451 () (not @t207)) % 15.95/16.16 (define @t452 () (not @t347)) % 15.95/16.16 (define @t453 () (= @t11 @t10)) % 15.95/16.16 (define @t454 () (tptp.c_HOL_Ominus__class_Ominus @t11 @t10 @t9)) % 15.95/16.16 (define @t455 () (not (= @t70 @t14))) % 15.95/16.16 (define @t456 () (not (tptp.c_lessequals @t13 @t14 @t9))) % 15.95/16.16 (define @t457 () (tptp.c_HOL_Oord__class_Oless @t189 @t11 @t9)) % 15.95/16.16 (define @t458 () (not @t220)) % 15.95/16.16 (define @t459 () (tptp.c_HOL_Oord__class_Oless @t14 @t26 @t9)) % 15.95/16.16 (define @t460 () (tptp.c_lessequals @t180 @t14 @t9)) % 15.95/16.16 (define @t461 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t9))) % 15.95/16.16 (define @t462 () (not (tptp.c_HOL_Oord__class_Oless @t79 @t33 tptp.tc_nat))) % 15.95/16.16 (define @t463 () (tptp.c_HOL_Oord__class_Oless @t11 @t11 tptp.tc_nat)) % 15.95/16.16 (define @t464 () (tptp.c_HOL_Oplus__class_Oplus @t33 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t465 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t466 () (@var "V_s" $$unsorted)) % 15.95/16.16 (define @t467 () (@var "V_t" $$unsorted)) % 15.95/16.16 (define @t468 () (tptp.c_Natural_Oevalc @t20 @t466 @t467)) % 15.95/16.16 (define @t469 () (tptp.c_lessequals @t70 @t14 @t9)) % 15.95/16.16 (define @t470 () (tptp.c_HOL_Oord__class_Oless @t22 @t254 @t9)) % 15.95/16.16 (define @t471 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t9))) % 15.95/16.16 (define @t472 () (@list @t11 @t10)) % 15.95/16.16 (define @t473 () (tptp.c_HOL_Oord__class_Oless @t70 @t14 @t9)) % 15.95/16.16 (define @t474 () (tptp.c_lessequals @t22 @t287 @t9)) % 15.95/16.16 (define @t475 () (tptp.c_HOL_Oplus__class_Oplus @t20 @t24 @t9)) % 15.95/16.16 (define @t476 () (tptp.c_lessequals @t21 @t475 @t9)) % 15.95/16.16 (define @t477 () (tptp.c_lessequals @t208 @t35 tptp.tc_nat)) % 15.95/16.16 (define @t478 () (@list @t80 @t79)) % 15.95/16.16 (define @t479 () (= (tptp.c_HOL_Oplus__class_Oplus @t2 @t5 tptp.tc_nat) @t1)) % 15.95/16.16 (define @t480 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t9))) % 15.95/16.16 (define @t481 () (@var "V_xb" $$unsorted)) % 15.95/16.16 (define @t482 () (@list @t118 @t120)) % 15.95/16.16 (define @t483 () (not @t460)) % 15.95/16.16 (define @t484 () (tptp.c_HOL_Oord__class_Oless @t180 @t14 @t9)) % 15.95/16.16 (define @t485 () (tptp.c_HOL_Oord__class_Oless @t420 @t419 tptp.tc_nat)) % 15.95/16.16 (define @t486 () (tptp.c_lessequals @t232 @t14 @t9)) % 15.95/16.16 (define @t487 () (@var "V_r" $$unsorted)) % 15.95/16.16 (define @t488 () (@var "V_q" $$unsorted)) % 15.95/16.16 (define @t489 () (not (tptp.c_lessequals @t20 @t14 @t9))) % 15.95/16.16 (define @t490 () (not (tptp.class_Ring__and__Field_Omult__mono @t9))) % 15.95/16.16 (define @t491 () (not (= @t13 @t14))) % 15.95/16.16 (define @t492 () (tptp.c_HOL_Otimes__class_Otimes @t17 @t17 @t9)) % 15.95/16.16 (define @t493 () (tptp.c_Suc @t33)) % 15.95/16.16 (define @t494 () (tptp.c_HOL_Otimes__class_Otimes @t493 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t495 () (tptp.c_HOL_Otimes__class_Otimes @t493 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t496 () (tptp.c_HOL_Oord__class_Oless @t495 @t494 tptp.tc_nat)) % 15.95/16.16 (define @t497 () (= @t24 @t20)) % 15.95/16.16 (define @t498 () (not (= @t26 @t22))) % 15.95/16.16 (define @t499 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t9))) % 15.95/16.16 (define @t500 () (tptp.c_Suc @t45)) % 15.95/16.16 (define @t501 () (= @t500 @t2)) % 15.95/16.16 (define @t502 () (not (= @t30 @t38))) % 15.95/16.16 (define @t503 () (tptp.c_lessequals @t495 @t494 tptp.tc_nat)) % 15.95/16.16 (define @t504 () (tptp.c_HOL_Oord__class_Oless @t14 @t13 @t9)) % 15.95/16.16 (define @t505 () (@var "V_pname" $$unsorted)) % 15.95/16.16 (define @t506 () (tptp.c_Orderings_Oord__class_Omax @t10 @t11 @t9)) % 15.95/16.16 (define @t507 () (tptp.c_HOL_Otimes__class_Otimes @t1 @t1 tptp.tc_nat)) % 15.95/16.16 (define @t508 () (tptp.c_HOL_Oord__class_Oless @t24 @t17 @t9)) % 15.95/16.16 (define @t509 () (tptp.c_HOL_Ominus__class_Ominus @t2 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t510 () (@list @t2 @t80)) % 15.95/16.16 (define @t511 () (tptp.c_HOL_Otimes__class_Otimes @t33 @t79 tptp.tc_nat)) % 15.95/16.16 (define @t512 () (tptp.c_HOL_Otimes__class_Otimes @t33 @t80 tptp.tc_nat)) % 15.95/16.16 (define @t513 () (@list @t33 @t80 @t79)) % 15.95/16.16 (define @t514 () (tptp.c_HOL_Otimes__class_Otimes @t79 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t515 () (tptp.c_HOL_Otimes__class_Otimes @t80 @t33 tptp.tc_nat)) % 15.95/16.16 (define @t516 () (not @t508)) % 15.95/16.16 (define @t517 () (@list @t246)) % 15.95/16.16 (define @t518 () (tptp.c_lessequals @t55 @t177 @t9)) % 15.95/16.16 (define @t519 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t9))) % 15.95/16.16 (define @t520 () (tptp.c_Orderings_Oord__class_Omax @t11 @t112 @t9)) % 15.95/16.16 (define @t521 () (tptp.c_Orderings_Oord__class_Omax @t11 @t88 @t9)) % 15.95/16.16 (define @t522 () (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t17 @t9) @t17)) % 15.95/16.16 (define @t523 () (= (tptp.c_HOL_Oplus__class_Oplus @t17 @t14 @t9) @t17)) % 15.95/16.16 (define @t524 () (not (tptp.class_OrderedGroup_Omonoid__add @t9))) % 15.95/16.16 (define @t525 () (tptp.c_lessequals @t14 @t180 @t9)) % 15.95/16.16 (define @t526 () (not @t525)) % 15.95/16.16 (define @t527 () (= @t467 @t466)) % 15.95/16.16 (define @t528 () (tptp.c_HOL_Oord__class_Oless @t14 @t232 @t9)) % 15.95/16.16 (define @t529 () (tptp.c_HOL_Oord__class_Oless @t80 @t147 tptp.tc_nat)) % 15.95/16.16 (define @t530 () (tptp.c_HOL_Oord__class_Oless @t145 @t79 tptp.tc_nat)) % 15.95/16.16 (define @t531 () (tptp.c_HOL_Oord__class_Oless @t22 @t287 @t9)) % 15.95/16.16 (define @t532 () (tptp.c_HOL_Oord__class_Oless @t21 @t475 @t9)) % 15.95/16.16 (define @t533 () (tptp.c_HOL_Oord__class_Oless @t208 @t35 tptp.tc_nat)) % 15.95/16.16 (define @t534 () (tptp.c_Orderings_Oord__class_Omin @t1 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t535 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 tptp.tc_nat)) % 15.95/16.16 (define @t536 () (not @t535)) % 15.95/16.16 (define @t537 () (= @t2 @t1)) % 15.95/16.16 (define @t538 () (tptp.c_HOL_Oord__class_Oless @t37 @t465 tptp.tc_nat)) % 15.95/16.16 (define @t539 () (tptp.c_Orderings_Oord__class_Omin @t126 @t521 @t9)) % 15.95/16.16 (define @t540 () (tptp.c_Orderings_Oord__class_Omax @t11 @t194 @t9)) % 15.95/16.16 (define @t541 () (tptp.c_lessequals @t425 @t426 @t9)) % 15.95/16.16 (define @t542 () (not (= @t454 @t427))) % 15.95/16.16 (define @t543 () (@list @t9 @t11 @t10 @t426 @t425)) % 15.95/16.16 (define @t544 () (tptp.c_HOL_Oord__class_Oless @t426 @t425 @t9)) % 15.95/16.16 (define @t545 () (tptp.c_Suc @t80)) % 15.95/16.16 (define @t546 () (tptp.c_HOL_Otimes__class_Otimes @t389 @t385 @t9)) % 15.95/16.16 (define @t547 () (@list @t9 @t386 @t384 @t385)) % 15.95/16.16 (define @t548 () (tptp.c_HOL_Otimes__class_Otimes @t386 @t388 @t9)) % 15.95/16.16 (define @t549 () (@list @t9 @t386 @t385 @t383)) % 15.95/16.16 (define @t550 () (= (tptp.c_HOL_Otimes__class_Otimes @t26 @t20 @t9) (tptp.c_HOL_Oplus__class_Oplus @t55 @t54 @t9))) % 15.95/16.16 (define @t551 () (tptp.c_lessequals @t94 @t6 tptp.tc_nat)) % 15.95/16.16 (define @t552 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t553 () (not (tptp.c_Natural_Oevaln @t20 @t466 @t2 @t467))) % 15.95/16.16 (define @t554 () (tptp.c_lessequals @t1 @t94 tptp.tc_nat)) % 15.95/16.16 (define @t555 () (@var "V_nat_H" $$unsorted)) % 15.95/16.16 (define @t556 () (tptp.c_Suc @t555)) % 15.95/16.16 (define @t557 () (@list @t555)) % 15.95/16.16 (define @t558 () (@var "V_s_H" $$unsorted)) % 15.95/16.16 (define @t559 () (@var "V_nat" $$unsorted)) % 15.95/16.16 (define @t560 () (@var "V_t1" $$unsorted)) % 15.95/16.16 (define @t561 () (@var "V_n1" $$unsorted)) % 15.95/16.16 (define @t562 () (not (tptp.c_Natural_Oevaln @t448 @t444 @t561 @t560))) % 15.95/16.16 (define @t563 () (@var "V_t2" $$unsorted)) % 15.95/16.16 (define @t564 () (@var "V_n2" $$unsorted)) % 15.95/16.16 (define @t565 () (@var "V_c2" $$unsorted)) % 15.95/16.16 (define @t566 () (not (tptp.c_Natural_Oevaln @t565 @t447 @t564 @t563))) % 15.95/16.16 (define @t567 () (tptp.c_Natural_Osko__Natural__Xevaln__max2__1__1 @t448 @t565 @t444 @t447 @t560 @t563)) % 15.95/16.16 (define @t568 () (tptp.c_Suc @t30)) % 15.95/16.16 (define @t569 () (tptp.c_HOL_Oplus__class_Oplus @t6 @t2 tptp.tc_nat)) % 15.95/16.16 (define @t570 () (tptp.c_HOL_Oplus__class_Oplus @t1 @t94 tptp.tc_nat)) % 15.95/16.16 (define @t571 () (@var "V_P" $$unsorted)) % 15.95/16.16 (define @t572 () (tptp.c_HOL_Oord__class_Oless @t6 @t94 tptp.tc_nat)) % 15.95/16.16 (define @t573 () (tptp.v_fun1 tptp.v_x tptp.v_xa)) % 15.95/16.16 (define @t574 () (tptp.c_Natural_Oevaln tptp.v_com tptp.v_xa tptp.v_n tptp.v_xb)) % 15.95/16.16 (define @t575 () (tptp.v_fun2 tptp.v_x tptp.v_xb)) % 15.95/16.16 (define @t576 () (@var "V_Z" $$unsorted)) % 15.95/16.16 (define @t577 () (tptp.c_Suc tptp.v_n)) % 15.95/16.16 (define @t578 () (forall (@list @t576 @t558 @t466) (or (tptp.v_fun2 @t576 @t558) (not (tptp.c_Natural_Oevaln tptp.v_com @t466 @t577 @t558)) (not (tptp.v_fun1 @t576 @t466))))) % 15.95/16.16 (define @t579 () (not @t574)) % 15.95/16.16 (define @t580 () (tptp.c_Natural_Oevaln tptp.v_com tptp.v_xa @t577 tptp.v_xb)) % 15.95/16.16 (define @t581 () (or @t580 @t579)) % 15.95/16.16 (define @t582 () (not @t573)) % 15.95/16.16 (define @t583 () (not @t580)) % 15.95/16.16 (define @t584 () (or @t575 @t583 @t582)) % 15.95/16.16 (define @t585 () (not @t584)) % 15.95/16.16 (assume @p1 (forall @t8 (or (= @t7 (tptp.c_Suc @t5)) @t4))) % 15.95/16.16 (assume @p2 (forall @t16 (or @t15 (tptp.c_lessequals @t14 @t13 @t9)))) % 15.95/16.16 (assume @p3 (forall @t19 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t14 @t9) @t17)))) % 15.95/16.16 (assume @p4 (forall @t19 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t17 @t9) @t14)))) % 15.95/16.16 (assume @p5 (forall (@list @t9 @t17 @t20) (or @t23 (= @t22 @t21)))) % 15.95/16.16 (assume @p6 (forall @t28 (or @t27 (= @t26 @t25)))) % 15.95/16.16 (assume @p7 (forall @t8 (= @t30 @t29))) % 15.95/16.16 (assume @p8 (forall (@list @t1 @t32 @t33 @t2) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t32 tptp.tc_nat) @t35)) @t34 @t31))) % 15.95/16.16 (assume @p9 (forall @t16 (or @t23 (= @t36 (tptp.c_HOL_Oplus__class_Oplus @t10 @t11 @t9))))) % 15.95/16.16 (assume @p10 (forall @t8 (or @t41 @t39))) % 15.95/16.16 (assume @p11 (forall @t8 (or @t41 @t42))) % 15.95/16.16 (assume @p12 (forall @t8 (or (tptp.c_lessequals @t45 @t2 tptp.tc_nat) @t44))) % 15.95/16.16 (assume @p13 (forall @t49 (or (tptp.c_HOL_Oord__class_Oless @t48 @t47 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t1 @t32 tptp.tc_nat)) @t46))) % 15.95/16.16 (assume @p14 (forall (@list @t9 @t11 @t17) (or @t52 @t51 (not (= @t11 (tptp.c_HOL_Oplus__class_Oplus @t11 @t17 @t9))) @t50))) % 15.95/16.16 (assume @p15 (forall @t8 (or (not (= @t30 @t1)) @t53))) % 15.95/16.16 (assume @p16 (forall (@list @t11 @t17) (or (not (= @t11 (tptp.c_HOL_Oplus__class_Oplus @t11 @t17 tptp.tc_nat))) (= @t17 @t37)))) % 15.95/16.16 (assume @p17 (forall @t61 (or @t60 @t59 @t58 @t57))) % 15.95/16.16 (assume @p18 (forall @t74 (or @t73 @t72 @t69))) % 15.95/16.16 (assume @p19 (forall @t75 (or @t73 @t68 (not @t72)))) % 15.95/16.16 (assume @p20 (forall @t78 (or @t73 @t77 @t69))) % 15.95/16.16 (assume @p21 (forall @t75 (or @t73 @t68 (not @t77)))) % 15.95/16.16 (assume @p22 (forall @t83 (or (tptp.c_HOL_Oord__class_Oless @t80 @t82 tptp.tc_nat) @t81))) % 15.95/16.16 (assume @p23 (forall @t85 (or (tptp.c_HOL_Oord__class_Oless @t80 @t84 tptp.tc_nat) @t81))) % 15.95/16.16 (assume @p24 (forall @t87 (or (tptp.c_HOL_Oord__class_Oless @t80 @t33 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t86 @t33 tptp.tc_nat))))) % 15.95/16.16 (assume @p25 (forall @t91 (or @t90 (not (tptp.c_HOL_Oord__class_Oless @t11 @t88 tptp.tc_nat))))) % 15.95/16.16 (assume @p26 (forall @t91 (or @t90 @t93))) % 15.95/16.16 (assume @p27 (forall @t98 (or @t97 @t96))) % 15.95/16.16 (assume @p28 (forall @t98 (or @t95 (not @t97)))) % 15.95/16.16 (assume @p29 (forall @t8 (or @t31 @t100))) % 15.95/16.16 (assume @p30 (forall @t8 (or @t99 @t46))) % 15.95/16.16 (assume @p31 (forall @t105 (or @t104 @t27 @t103 @t102 @t58))) % 15.95/16.16 (assume @p32 (forall @t105 (or @t104 @t27 @t103 @t108 @t107))) % 15.95/16.16 (assume @p33 (forall @t115 (or @t114 (= @t113 @t111)))) % 15.95/16.16 (assume @p34 (forall @t117 (or @t114 (= (tptp.c_Orderings_Oord__class_Omin @t112 @t11 @t9) (tptp.c_Orderings_Oord__class_Omax @t116 (tptp.c_Orderings_Oord__class_Omin @t88 @t11 @t9) @t9))))) % 15.95/16.16 (assume @p35 (forall @t125 (or @t124 (= @t119 @t118)))) % 15.95/16.16 (assume @p36 (forall @t125 (or @t124 (= @t122 @t120)))) % 15.95/16.16 (assume @p37 (forall @t127 (or @t114 (tptp.c_lessequals @t10 @t126 @t9)))) % 15.95/16.16 (assume @p38 (forall @t16 (or @t114 (tptp.c_lessequals @t11 @t126 @t9)))) % 15.95/16.16 (assume @p39 (forall @t134 (or @t114 @t133 @t131 @t129))) % 15.95/16.16 (assume @p40 (forall @t117 (or @t114 (tptp.c_lessequals @t112 @t11 @t9) @t138 @t136))) % 15.95/16.16 (assume @p41 (forall @t115 (or @t114 @t143 @t142 @t140))) % 15.95/16.16 (assume @p42 (forall @t149 (or @t148 (not @t146) @t144))) % 15.95/16.16 (assume @p43 (forall @t87 (or @t146 (not @t148) @t144))) % 15.95/16.16 (assume @p44 (forall @t151 (tptp.c_HOL_Oord__class_Oless @t1 (tptp.c_Suc @t150) tptp.tc_nat))) % 15.95/16.16 (assume @p45 (forall @t152 (tptp.c_HOL_Oord__class_Oless @t80 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t1 @t80 tptp.tc_nat)) tptp.tc_nat))) % 15.95/16.16 (assume @p46 (forall @t152 (tptp.c_HOL_Oord__class_Oless @t80 (tptp.c_Suc (tptp.c_HOL_Oplus__class_Oplus @t80 @t1 tptp.tc_nat)) tptp.tc_nat))) % 15.95/16.16 (assume @p47 (forall @t75 (or @t154 @t153 (= @t71 @t62)))) % 15.95/16.16 (assume @p48 (forall @t75 (or @t154 @t153 (= @t20 @t76)))) % 15.95/16.16 (assume @p49 (forall @t165 (or @t164 (not @t159) @t155))) % 15.95/16.16 (assume @p50 (forall @t167 (or @t159 @t166 @t155))) % 15.95/16.16 (assume @p51 (forall @t165 (or @t164 (not @t171) @t168))) % 15.95/16.16 (assume @p52 (forall @t172 (or @t171 @t166 @t168))) % 15.95/16.16 (assume @p53 (forall (@list @t9 @t17 @t63 @t24 @t62) (or @t154 (= (tptp.c_HOL_Oplus__class_Oplus @t66 @t76 @t9) @t65)))) % 15.95/16.16 (assume @p54 (forall @t179 (or @t60 @t178 @t58 @t176 @t174 @t173))) % 15.95/16.16 (assume @p55 (forall @t184 (or @t18 (= @t183 @t181)))) % 15.95/16.16 (assume @p56 (forall @t16 (or @t114 (tptp.c_lessequals @t110 @t11 @t9)))) % 15.95/16.16 (assume @p57 (forall @t16 (or @t114 (tptp.c_lessequals @t110 @t10 @t9)))) % 15.95/16.16 (assume @p58 (forall @t191 (or @t114 @t190 @t188 @t186))) % 15.95/16.16 (assume @p59 (forall @t115 (or @t114 @t195 @t140 @t193))) % 15.95/16.16 (assume @p60 (forall (@list @t9 @t17 @t63 @t20 @t24) (or @t154 (= @t67 (tptp.c_HOL_Oplus__class_Oplus @t64 @t71 @t9))))) % 15.95/16.16 (assume @p61 (forall @t8 (or @t198 @t197))) % 15.95/16.16 (assume @p62 (forall @t8 (or @t199 @t196))) % 15.95/16.16 (assume @p63 (forall @t115 (or @t202 (= (tptp.c_HOL_Ominus__class_Ominus @t110 @t88 @t9) (tptp.c_Orderings_Oord__class_Omin @t201 @t200 @t9))))) % 15.95/16.16 (assume @p64 (forall @t115 (or @t114 @t207 @t206 @t204))) % 15.95/16.16 (assume @p65 (forall (@list @t79 @t33 @t1) (or (= (tptp.c_HOL_Ominus__class_Ominus @t210 @t1 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t209 @t208 tptp.tc_nat)) @t144))) % 15.95/16.16 (assume @p66 (forall @t105 (or @t104 @t27 @t213 @t108 @t212))) % 15.95/16.16 (assume @p67 (= @t214 @t38)) % 15.95/16.16 (assume @p68 (forall @t28 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t215 @t24 @t9) @t215)))) % 15.95/16.16 (assume @p69 (forall @t19 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t14 @t17 @t9) @t14)))) % 15.95/16.16 (assume @p70 (forall @t221 (or @t114 @t220 @t219 @t217))) % 15.95/16.16 (assume @p71 (forall @t91 (= (tptp.c_HOL_Oplus__class_Oplus @t222 @t223 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t223 @t222 tptp.tc_nat)))) % 15.95/16.16 (assume @p72 (forall (@list @t11 @t20 @t62) (= (tptp.c_HOL_Oplus__class_Oplus @t224 @t225 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t225 @t224 tptp.tc_nat)))) % 15.95/16.16 (assume @p73 (forall (@list @t9 @t11 @t20 @t62) (or @t52 @t51 (= (tptp.c_HOL_Oplus__class_Oplus @t226 @t227 @t9) (tptp.c_HOL_Oplus__class_Oplus @t227 @t226 @t9))))) % 15.95/16.16 (assume @p74 (forall @t115 (or @t52 @t51 (= @t230 (tptp.c_HOL_Oplus__class_Oplus @t229 @t228 @t9))))) % 15.95/16.16 (assume @p75 (forall @t231 (or @t53 (not (tptp.c_HOL_Oord__class_Oless @t2 @t38 tptp.tc_nat))))) % 15.95/16.16 (assume @p76 (forall @t19 (or @t234 @t106 (not @t233)))) % 15.95/16.16 (assume @p77 (forall @t19 (or @t234 @t233 @t107))) % 15.95/16.16 (assume @p78 (forall @t16 (or @t114 (= (tptp.c_Orderings_Oord__class_Omin @t11 @t110 @t9) @t110)))) % 15.95/16.16 (assume @p79 (forall @t165 (or (= @t235 (tptp.c_HOL_Ominus__class_Ominus @t1 @t158 tptp.tc_nat)) @t155))) % 15.95/16.16 (assume @p80 (forall @t165 (or (= @t235 (tptp.c_HOL_Ominus__class_Ominus @t170 @t2 tptp.tc_nat)) @t168))) % 15.95/16.16 (assume @p81 (forall @t28 (or @t236 (= (tptp.c_HOL_Oplus__class_Oplus @t70 @t24 @t9) @t17)))) % 15.95/16.16 (assume @p82 (forall @t241 (or @t240 @t237))) % 15.95/16.16 (assume @p83 (forall @t245 (or @t244 @t237))) % 15.95/16.16 (assume @p84 (forall (@list @t246 @t119 @t122) (not (= @t247 @t123)))) % 15.95/16.16 (assume @p85 (forall @t250 (or (tptp.c_lessequals @t145 @t249 tptp.tc_nat) @t248 @t155))) % 15.95/16.16 (assume @p86 (forall @t179 (or @t255 (tptp.c_lessequals @t22 @t254 @t9) @t253 @t252))) % 15.95/16.16 (assume @p87 (forall @t8 (or @t256 @t197))) % 15.95/16.16 (assume @p88 (forall @t8 (or @t196 @t257))) % 15.95/16.16 (assume @p89 (forall @t261 (or (not @t260) @t259))) % 15.95/16.16 (assume @p90 (forall @t16 (or @t23 (= @t228 (tptp.c_HOL_Otimes__class_Otimes @t10 @t11 @t9))))) % 15.95/16.16 (assume @p91 (forall @t8 (= @t40 @t262))) % 15.95/16.16 (assume @p92 (forall @t264 (or @t234 @t263))) % 15.95/16.16 (assume @p93 (= (tptp.c_HOL_Oplus__class_Oplus @t37 @t37 tptp.tc_nat) @t37)) % 15.95/16.16 (assume @p94 (forall @t264 (or @t266 @t265 @t265 @t263))) % 15.95/16.16 (assume @p95 (forall @t28 (or @t23 (= @t180 @t267)))) % 15.95/16.16 (assume @p96 (forall @t8 (tptp.c_HOL_Oord__class_Oless @t5 @t6 tptp.tc_nat))) % 15.95/16.16 (assume @p97 (forall @t61 (or @t18 (= @t269 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t182 @t268 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p98 (forall @t28 (or @t266 (tptp.c_lessequals @t14 @t26 @t9) @t271 @t107))) % 15.95/16.16 (assume @p99 (forall @t275 (or @t274 @t203 @t206 @t273))) % 15.95/16.16 (assume @p100 (forall @t221 (or @t278 @t216 @t219 @t277))) % 15.95/16.16 (assume @p101 (forall @t16 (or @t114 @t279 @t193))) % 15.95/16.16 (assume @p102 (forall @t16 (or @t114 (not @t279) @t192))) % 15.95/16.16 (assume @p103 (forall @t16 (or @t114 (= @t126 @t11) @t136))) % 15.95/16.16 (assume @p104 (forall @t115 (or @t23 (= @t281 (tptp.c_HOL_Oplus__class_Oplus @t36 @t88 @t9))))) % 15.95/16.16 (assume @p105 (forall @t115 (or @t283 (= @t281 (tptp.c_HOL_Oplus__class_Oplus @t10 @t282 @t9))))) % 15.95/16.16 (assume @p106 (forall @t91 (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t89 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t10 @t284 tptp.tc_nat)))) % 15.95/16.16 (assume @p107 (forall @t286 (= (tptp.c_HOL_Oplus__class_Oplus @t30 @t33 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t1 @t285 tptp.tc_nat)))) % 15.95/16.16 (assume @p108 (forall @t61 (or @t27 @t290))) % 15.95/16.16 (assume @p109 (forall @t61 (or @t27 (= @t288 (tptp.c_HOL_Oplus__class_Oplus @t24 @t22 @t9))))) % 15.95/16.16 (assume @p110 (forall @t61 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t9)) @t290))) % 15.95/16.16 (assume @p111 (forall @t293 (or @t23 (= @t292 (tptp.c_HOL_Oplus__class_Oplus @t22 @t62 @t9))))) % 15.95/16.16 (assume @p112 (forall @t61 (or @t23 (= @t289 (tptp.c_HOL_Oplus__class_Oplus @t22 @t24 @t9))))) % 15.95/16.16 (assume @p113 (forall @t293 (or @t23 (= @t292 (tptp.c_HOL_Oplus__class_Oplus @t20 (tptp.c_HOL_Oplus__class_Oplus @t17 @t62 @t9) @t9))))) % 15.95/16.16 (assume @p114 (forall @t61 (or @t23 @t290))) % 15.95/16.16 (assume @p115 (forall @t98 (or @t43 @t295 (not @t294)))) % 15.95/16.16 (assume @p116 (forall @t296 (not (tptp.c_HOL_Oord__class_Oless @t1 @t37 tptp.tc_nat)))) % 15.95/16.16 (assume @p117 (forall @t61 (or @t60 @t59 @t58 @t300))) % 15.95/16.16 (assume @p118 (forall @t61 (or @t301 @t59 @t58 @t57))) % 15.95/16.16 (assume @p119 (forall @t61 (or @t301 @t59 @t58 @t300))) % 15.95/16.16 (assume @p120 (forall @t304 (or @t283 @t303))) % 15.95/16.16 (assume @p121 (forall @t304 (or @t236 @t303))) % 15.95/16.16 (assume @p122 (forall @t19 (or @t236 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t14 @t9) @t17)))) % 15.95/16.16 (assume @p123 (forall @t19 (or @t236 (= (tptp.c_HOL_Ominus__class_Ominus @t17 @t17 @t9) @t14)))) % 15.95/16.16 (assume @p124 (forall @t296 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t1 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p125 (forall @t296 (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t37 tptp.tc_nat) @t1))) % 15.95/16.16 (assume @p126 (forall @t304 (or @t52 @t51 @t303))) % 15.95/16.16 (assume @p127 (forall @t61 (or @t18 (= @t181 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t182 @t268 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p128 (forall @t307 (or @t114 @t306 @t137 (not @t305)))) % 15.95/16.16 (assume @p129 (forall (@list @t79 @t80 @t156 @t1) (or @t168 (= @t163 (tptp.c_HOL_Oplus__class_Oplus @t160 @t170 tptp.tc_nat))))) % 15.95/16.16 (assume @p130 (forall @t245 (or @t310 @t309 @t308))) % 15.95/16.16 (assume @p131 (forall @t245 (or @t310 @t308 @t309))) % 15.95/16.16 (assume @p132 (forall @t241 (or (not (= @t239 @t238)) @t308 @t309))) % 15.95/16.16 (assume @p133 (forall @t275 (or @t114 @t139 @t311))) % 15.95/16.16 (assume @p134 (forall @t115 (or @t114 @t192 @t311))) % 15.95/16.16 (assume @p135 (forall @t115 (or @t114 @t312 @t142))) % 15.95/16.16 (assume @p136 (forall @t115 (or @t114 @t312 @t140))) % 15.95/16.16 (assume @p137 (forall @t134 (or @t114 @t313 @t131))) % 15.95/16.16 (assume @p138 (forall @t134 (or @t114 @t313 @t129))) % 15.95/16.16 (assume @p139 (forall (@list @t9 @t11 @t24 @t17) (or @t114 @t187 @t314))) % 15.95/16.16 (assume @p140 (forall @t191 (or @t114 @t185 @t314))) % 15.95/16.16 (assume @p141 (forall @t231 (= (tptp.c_Orderings_Oord__class_Omin @t37 @t2 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p142 (forall @t231 (= (tptp.c_Orderings_Oord__class_Omin @t2 @t37 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p143 (forall @t16 (or @t266 @t318 @t317 @t316 @t315))) % 15.95/16.16 (assume @p144 (forall @t16 (or @t266 @t318 @t317 @t316 @t319))) % 15.95/16.16 (assume @p145 (forall @t8 (or @t321 @t320))) % 15.95/16.16 (assume @p146 (forall @t8 (or @t321 @t53))) % 15.95/16.16 (assume @p147 (forall @t19 (or @t234 (not (= @t232 @t14)) @t50))) % 15.95/16.16 (assume @p148 (forall @t75 (or @t73 @t323 (not @t322)))) % 15.95/16.16 (assume @p149 (forall @t78 (or @t73 @t322 @t324))) % 15.95/16.16 (assume @p150 (forall @t75 (or @t73 @t323 (not @t325)))) % 15.95/16.16 (assume @p151 (forall @t74 (or @t73 @t325 @t324))) % 15.95/16.16 (assume @p152 (forall @t8 (or @t326 @t4))) % 15.95/16.16 (assume @p153 (forall @t165 (or @t327 @t168 (= @t170 @t2)))) % 15.95/16.16 (assume @p154 (forall @t165 (or @t327 @t155 (= @t1 @t158)))) % 15.95/16.16 (assume @p155 (forall @t117 (or @t114 @t141 @t139 (not @t312)))) % 15.95/16.16 (assume @p156 (forall (@list @t80 @t79 @t156 @t2) (or @t155 (= (tptp.c_HOL_Oplus__class_Oplus @t162 @t158 tptp.tc_nat) @t161)))) % 15.95/16.16 (assume @p157 (forall @t28 (or @t330 @t329 @t328 @t50))) % 15.95/16.16 (assume @p158 (forall @t28 (or @t331 @t329 @t328 @t50))) % 15.95/16.16 (assume @p159 (forall @t8 (or (not (= @t40 @t37)) @t53 @t320))) % 15.95/16.16 (assume @p160 (forall @t28 (or @t331 @t329 @t50 @t328))) % 15.95/16.16 (assume @p161 (forall @t336 (or @t18 @t335 @t334 (= @t269 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t333 @t332 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p162 (tptp.c_HOL_Oord__class_Oless @t37 @t38 tptp.tc_nat)) % 15.95/16.16 (assume @p163 (forall @t19 (or @t234 @t339 @t338))) % 15.95/16.16 (assume @p164 (forall @t19 (or @t234 @t337 @t340))) % 15.95/16.16 (assume @p165 (forall @t19 (or @t341 @t337 @t340))) % 15.95/16.16 (assume @p166 (forall @t19 (or @t341 @t339 @t338))) % 15.95/16.16 (assume @p167 (forall @t8 (or @t342 @t42 @t39))) % 15.95/16.16 (assume @p168 (forall @t8 (or @t342 @t320 @t53))) % 15.95/16.16 (assume @p169 (forall @t343 (or @t60 @t175 @t212 (not (tptp.c_HOL_Oord__class_Oless @t14 @t267 @t9))))) % 15.95/16.16 (assume @p170 (forall @t343 (or @t60 @t175 @t212 (not @t344)))) % 15.95/16.16 (assume @p171 (forall @t28 (or @t60 @t344 @t176 @t212))) % 15.95/16.16 (assume @p172 (forall @t28 (or @t15 @t344 @t345 @t338))) % 15.95/16.16 (assume @p173 (forall @t8 (or @t347 @t44 @t346))) % 15.95/16.16 (assume @p174 (forall @t117 (or @t114 @t141 @t348))) % 15.95/16.16 (assume @p175 (forall @t275 (or @t114 @t139 @t348))) % 15.95/16.16 (assume @p176 (forall @t221 (or @t114 @t305 @t349))) % 15.95/16.16 (assume @p177 (forall @t221 (or @t114 @t305 @t138))) % 15.95/16.16 (assume @p178 (forall @t191 (or @t114 @t350 @t188))) % 15.95/16.16 (assume @p179 (forall @t191 (or @t114 @t350 @t186))) % 15.95/16.16 (assume @p180 (forall (@list @t9 @t24 @t11 @t17) (or @t114 @t130 @t351))) % 15.95/16.16 (assume @p181 (forall (@list @t9 @t17 @t11 @t24) (or @t114 @t128 @t351))) % 15.95/16.16 (assume @p182 (forall @t354 (or @t353 (not @t352)))) % 15.95/16.16 (assume @p183 (forall @t355 (or @t352 (not @t353)))) % 15.95/16.16 (assume @p184 (forall @t307 (or @t114 @t218 @t216 (not @t356)))) % 15.95/16.16 (assume @p185 (forall @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t1 @t94 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t1 @t40 tptp.tc_nat)))) % 15.95/16.16 (assume @p186 (forall @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t6 @t2 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t2 @t40 tptp.tc_nat)))) % 15.95/16.16 (assume @p187 (forall @t16 (or @t15 (not (tptp.c_HOL_Oord__class_Oless @t13 @t14 @t9))))) % 15.95/16.16 (assume @p188 (forall @t172 (or @t359 @t358 @t168))) % 15.95/16.16 (assume @p189 (forall @t165 (or @t357 (not @t359) @t168))) % 15.95/16.16 (assume @p190 (forall @t167 (or @t360 @t358 @t155))) % 15.95/16.16 (assume @p191 (forall @t165 (or @t357 (not @t360) @t155))) % 15.95/16.16 (assume @p192 (forall @t363 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Suc @t362) @t2 tptp.tc_nat) @t361))) % 15.95/16.16 (assume @p193 (forall @t117 (or @t114 @t205 @t203 (not @t364)))) % 15.95/16.16 (assume @p194 (forall (@list @t9 @t365 @t10 @t11 @t88) (or @t52 @t51 (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t365 @t10 @t9) @t229 @t9) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t365 @t88 @t9) @t228 @t9))) @t367 @t366))) % 15.95/16.16 (assume @p195 (forall @t179 (or @t52 @t51 (not (= (tptp.c_HOL_Oplus__class_Oplus @t55 @t177 @t9) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t17 @t62 @t9) @t54 @t9))) @t369 @t368))) % 15.95/16.16 (assume @p196 (forall (@list @t17 @t20 @t24 @t62) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t17 @t20 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t24 @t62 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t17 @t62 tptp.tc_nat) @t370 tptp.tc_nat))) @t369 @t368))) % 15.95/16.16 (assume @p197 (forall (@list @t365 @t10 @t11 @t88) (or (not (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t365 @t10 tptp.tc_nat) @t223 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t365 @t88 tptp.tc_nat) @t222 tptp.tc_nat))) @t367 @t366))) % 15.95/16.16 (assume @p198 (forall @t28 (or @t266 @t373 @t345 @t372))) % 15.95/16.16 (assume @p199 (forall @t28 (or @t266 @t373 @t375 @t338))) % 15.95/16.16 (assume @p200 (forall @t264 (or @t15 (tptp.c_lessequals @t377 @t14 @t9)))) % 15.95/16.16 (assume @p201 (forall @t336 (or @t18 @t335 @t334 (= @t181 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t333 @t332 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p202 (forall @t149 (or (= @t379 @t378) @t144))) % 15.95/16.16 (assume @p203 (forall @t354 (or (= @t382 @t380) @t144))) % 15.95/16.16 (assume @p204 (= (tptp.c_HOL_Otimes__class_Otimes @t38 @t38 tptp.tc_nat) @t38)) % 15.95/16.16 (assume @p205 (forall @t391 (or @t23 (= @t390 (tptp.c_HOL_Otimes__class_Otimes @t387 (tptp.c_HOL_Otimes__class_Otimes @t384 @t383 @t9) @t9))))) % 15.95/16.16 (assume @p206 (forall @t391 (or @t23 (= @t390 (tptp.c_HOL_Otimes__class_Otimes @t386 (tptp.c_HOL_Otimes__class_Otimes @t384 @t388 @t9) @t9))))) % 15.95/16.16 (assume @p207 (forall @t391 (or @t23 (= @t390 (tptp.c_HOL_Otimes__class_Otimes @t385 (tptp.c_HOL_Otimes__class_Otimes @t389 @t383 @t9) @t9))))) % 15.95/16.16 (assume @p208 (forall @t19 (or @t23 @t392))) % 15.95/16.16 (assume @p209 (forall @t19 (or @t23 @t393))) % 15.95/16.16 (assume @p210 (forall @t19 (or @t330 @t393))) % 15.95/16.16 (assume @p211 (forall (@list @t9 @t24) (or @t330 (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t24 @t9) @t14)))) % 15.95/16.16 (assume @p212 (forall @t19 (or @t394 @t393))) % 15.95/16.16 (assume @p213 (forall @t19 (or @t394 @t392))) % 15.95/16.16 (assume @p214 (forall @t231 (= @t395 @t37))) % 15.95/16.16 (assume @p215 (forall @t296 (= @t396 @t37))) % 15.95/16.16 (assume @p216 (forall @t304 (or @t23 (= (tptp.c_HOL_Otimes__class_Otimes @t14 @t11 @t9) @t14)))) % 15.95/16.16 (assume @p217 (forall @t231 (not (tptp.c_HOL_Oord__class_Oless @t2 @t37 tptp.tc_nat)))) % 15.95/16.16 (assume @p218 (forall @t98 (or @t399 @t398))) % 15.95/16.16 (assume @p219 (forall @t8 (or @t400 @t398))) % 15.95/16.16 (assume @p220 (forall (@list @t9 @t11 @t10 @t88 @t156) (or @t283 (not (= @t281 (tptp.c_HOL_Oplus__class_Oplus @t10 @t156 @t9))) (= @t282 @t156)))) % 15.95/16.16 (assume @p221 (forall @t83 (or (tptp.c_lessequals @t80 @t82 tptp.tc_nat) @t155))) % 15.95/16.16 (assume @p222 (forall @t85 (or (tptp.c_lessequals @t80 @t84 tptp.tc_nat) @t155))) % 15.95/16.16 (assume @p223 (forall @t363 (or @t403 @t402))) % 15.95/16.16 (assume @p224 (forall @t286 (or @t196 @t402))) % 15.95/16.16 (assume @p225 (forall @t91 (or @t404 (not (tptp.c_lessequals @t11 @t88 tptp.tc_nat))))) % 15.95/16.16 (assume @p226 (forall @t91 (or @t404 (not @t405)))) % 15.95/16.16 (assume @p227 (forall @t61 (or @t407 (= @t406 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t182 @t24 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p228 (forall @t61 (or @t407 (= @t406 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t17 @t268 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p229 (forall @t16 (or @t114 @t408 @t193))) % 15.95/16.16 (assume @p230 (forall @t16 (or @t114 (not @t408) @t192))) % 15.95/16.16 (assume @p231 (forall @t16 (or @t114 (= @t110 @t10) @t136))) % 15.95/16.16 (assume @p232 (forall @t115 (or @t202 (= (tptp.c_HOL_Ominus__class_Ominus @t126 @t88 @t9) (tptp.c_Orderings_Oord__class_Omax @t201 @t200 @t9))))) % 15.95/16.16 (assume @p233 (forall (@list @t119 @t122 @t246) (not (= @t123 @t247)))) % 15.95/16.16 (assume @p234 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t45 @t2 tptp.tc_nat) @t44))) % 15.95/16.16 (assume @p235 (forall @t16 (or @t114 @t272 @t135))) % 15.95/16.16 (assume @p236 (forall @t304 (or @t114 (not @t411) @t410))) % 15.95/16.16 (assume @p237 (forall @t304 (or @t114 @t409 @t411))) % 15.95/16.16 (assume @p238 (forall @t16 (or @t114 @t273 @t136))) % 15.95/16.16 (assume @p239 (forall @t127 (or @t114 @t135 @t272))) % 15.95/16.16 (assume @p240 (forall @t16 (or @t114 @t193 @t277))) % 15.95/16.16 (assume @p241 (forall @t127 (or @t114 @t276 @t192))) % 15.95/16.16 (assume @p242 (forall @t127 (or @t274 @t136 @t273))) % 15.95/16.16 (assume @p243 (forall @t61 (or @t18 (= @t269 @t412)))) % 15.95/16.16 (assume @p244 (forall @t61 (or @t18 (= @t269 @t413)))) % 15.95/16.16 (assume @p245 (forall @t115 (or @t114 (= (tptp.c_Orderings_Oord__class_Omin @t110 @t88 @t9) @t414)))) % 15.95/16.16 (assume @p246 (forall @t115 (or @t114 (= @t414 (tptp.c_Orderings_Oord__class_Omin @t10 @t109 @t9))))) % 15.95/16.16 (assume @p247 (= @t38 @t415)) % 15.95/16.16 (assume @p248 (forall @t105 (or @t104 @t27 @t213 @t416 @t107))) % 15.95/16.16 (assume @p249 (forall @t49 (or (tptp.c_lessequals @t48 @t47 tptp.tc_nat) @t197))) % 15.95/16.16 (assume @p250 (forall (@list @t1 @t32 @t2) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus @t1 @t32 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t2 @t32 tptp.tc_nat) tptp.tc_nat) @t197))) % 15.95/16.16 (assume @p251 (forall @t241 (or @t421 @t197 @t418 @t417))) % 15.95/16.16 (assume @p252 (forall @t286 (or @t196 (not @t421) @t418 @t417))) % 15.95/16.16 (assume @p253 (forall @t98 (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t29 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p254 (forall @t149 (= @t423 (tptp.c_HOL_Ominus__class_Ominus @t80 @t422 tptp.tc_nat)))) % 15.95/16.16 (assume @p255 (forall (@list @t9 @t424 @t10 @t11) (or @t283 (not (= (tptp.c_HOL_Ominus__class_Ominus @t424 @t10 @t9) @t302)) (= @t424 @t10)))) % 15.95/16.16 (assume @p256 (forall (@list @t9 @t11 @t426 @t425) (or @t283 (not (= @t302 @t427)) (= @t426 @t425)))) % 15.95/16.16 (assume @p257 (forall @t241 (or (not (= @t420 @t419)) @t418 @t417 @t309))) % 15.95/16.16 (assume @p258 (forall @t16 (or @t114 (= (tptp.c_Orderings_Oord__class_Omin @t11 @t126 @t9) @t11)))) % 15.95/16.16 (assume @p259 (forall @t245 (or @t310 @t428 @t309))) % 15.95/16.16 (assume @p260 (forall @t8 (or @t342 @t42 @t53))) % 15.95/16.16 (assume @p261 (forall @t8 (or @t342 @t320 @t39))) % 15.95/16.16 (assume @p262 (forall @t245 (or @t237 @t430))) % 15.95/16.16 (assume @p263 (forall @t245 (or @t237 @t432))) % 15.95/16.16 (assume @p264 (forall @t286 (or @t196 @t428 (not @t240)))) % 15.95/16.16 (assume @p265 (forall @t286 (or @t196 @t428 @t433))) % 15.95/16.16 (assume @p266 (forall @t286 (or @t196 @t433 @t428))) % 15.95/16.16 (assume @p267 (forall @t245 (or @t244 @t197 @t428))) % 15.95/16.16 (assume @p268 (forall @t105 (or @t15 @t101 @t437 @t435))) % 15.95/16.16 (assume @p269 (forall @t438 (or @t15 @t436 @t102 @t435))) % 15.95/16.16 (assume @p270 (forall @t61 (or @t15 @t251 @t437 @t440))) % 15.95/16.16 (assume @p271 (forall @t438 (or @t15 @t436 @t252 @t440))) % 15.95/16.16 (assume @p272 (forall @t61 (or @t60 @t251 @t440 @t437))) % 15.95/16.16 (assume @p273 (forall @t61 (or @t60 @t251 @t440 (not @t441)))) % 15.95/16.16 (assume @p274 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t38 @t40 tptp.tc_nat) @t443 @t442))) % 15.95/16.16 (assume @p275 (forall (@list @t446 @t448 @t445 @t447 @t444) (or (tptp.c_Natural_Oevalc @t449 @t445 @t447) (not (tptp.c_Natural_Oevalc @t448 @t444 @t447)) (not (tptp.c_Natural_Oevalc @t446 @t445 @t444))))) % 15.95/16.16 (assume @p276 (forall @t231 (= (tptp.c_HOL_Ominus__class_Ominus @t37 @t2 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p277 (forall @t241 (= (tptp.c_HOL_Ominus__class_Ominus @t401 @t285 tptp.tc_nat) @t5))) % 15.95/16.16 (assume @p278 (forall @t245 (= (tptp.c_HOL_Ominus__class_Ominus @t208 @t35 tptp.tc_nat) @t5))) % 15.95/16.16 (assume @p279 (forall @t231 (tptp.c_HOL_Oord__class_Oless @t37 @t94 tptp.tc_nat))) % 15.95/16.16 (assume @p280 (forall @t261 (tptp.c_HOL_Oord__class_Oless @t37 @t258 tptp.tc_nat))) % 15.95/16.16 (assume @p281 (forall @t191 (or @t114 @t450 (not (tptp.c_HOL_Oord__class_Oless @t11 @t17 @t9))))) % 15.95/16.16 (assume @p282 (forall @t191 (or @t114 @t450 (not (tptp.c_HOL_Oord__class_Oless @t11 @t24 @t9))))) % 15.95/16.16 (assume @p283 (forall @t221 (or @t114 @t356 @t217))) % 15.95/16.16 (assume @p284 (forall @t221 (or @t114 @t356 @t219))) % 15.95/16.16 (assume @p285 (forall @t275 (or @t114 @t203 @t451))) % 15.95/16.16 (assume @p286 (forall @t117 (or @t114 @t205 @t451))) % 15.95/16.16 (assume @p287 (forall @t16 (or @t114 (= @t110 @t116)))) % 15.95/16.16 (assume @p288 (forall (@list @t80 @t156 @t79 @t33) (= (tptp.c_HOL_Oplus__class_Oplus @t162 (tptp.c_HOL_Oplus__class_Oplus @t160 @t33 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t86 @t156 tptp.tc_nat) @t33 tptp.tc_nat)))) % 15.95/16.16 (assume @p289 (forall (@list @t9 @t17 @t63 @t24 @t20) (or (not (tptp.class_Ring__and__Field_Osemiring @t9)) (= (tptp.c_HOL_Oplus__class_Oplus @t66 (tptp.c_HOL_Oplus__class_Oplus @t64 @t20 @t9) @t9) (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t26 @t63 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p290 (forall @t8 (tptp.c_lessequals @t5 @t1 tptp.tc_nat))) % 15.95/16.16 (assume @p291 (forall @t98 (or @t43 @t452))) % 15.95/16.16 (assume @p292 (forall @t8 (or @t295 @t452))) % 15.95/16.16 (assume @p293 (forall @t28 (or @t266 @t373 @t345 @t338))) % 15.95/16.16 (assume @p294 (forall @t16 (or @t52 @t51 (not (= @t454 @t14)) @t453))) % 15.95/16.16 (assume @p295 (forall @t28 (or @t236 @t455 @t368))) % 15.95/16.16 (assume @p296 (forall @t28 (or @t283 @t455 @t368))) % 15.95/16.16 (assume @p297 (forall @t16 (or @t15 @t319 @t456))) % 15.95/16.16 (assume @p298 (forall @t127 (or @t15 @t315 @t456))) % 15.95/16.16 (assume @p299 (forall @t245 (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t5 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t243 @t242 tptp.tc_nat)))) % 15.95/16.16 (assume @p300 (forall @t286 (= (tptp.c_HOL_Otimes__class_Otimes @t5 @t33 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t239 @t238 tptp.tc_nat)))) % 15.95/16.16 (assume @p301 (forall @t134 (or @t114 @t457 (not (tptp.c_HOL_Oord__class_Oless @t17 @t11 @t9))))) % 15.95/16.16 (assume @p302 (forall @t134 (or @t114 @t457 (not (tptp.c_HOL_Oord__class_Oless @t24 @t11 @t9))))) % 15.95/16.16 (assume @p303 (forall @t221 (or @t114 @t216 @t458))) % 15.95/16.16 (assume @p304 (forall @t307 (or @t114 @t218 @t458))) % 15.95/16.16 (assume @p305 (forall @t115 (or @t114 @t364 @t204))) % 15.95/16.16 (assume @p306 (forall @t115 (or @t114 @t364 @t206))) % 15.95/16.16 (assume @p307 (forall @t241 (or (= (tptp.c_HOL_Ominus__class_Ominus @t420 @t419 tptp.tc_nat) @t5) @t418 @t417))) % 15.95/16.16 (assume @p308 (forall @t149 (= @t423 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t80 @t33 tptp.tc_nat) @t79 tptp.tc_nat)))) % 15.95/16.16 (assume @p309 (forall @t231 (tptp.c_lessequals @t37 @t2 tptp.tc_nat))) % 15.95/16.16 (assume @p310 (forall @t28 (or @t266 @t459 @t176 @t107))) % 15.95/16.16 (assume @p311 (forall @t28 (or @t266 @t459 @t271 @t212))) % 15.95/16.16 (assume @p312 (forall (@list @t17 @t20 @t24) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t17 @t20 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t24 @t20 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals @t20 @t17 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t17 @t24 tptp.tc_nat))))) % 15.95/16.16 (assume @p313 (forall @t28 (or @t15 @t460 @t375 @t107))) % 15.95/16.16 (assume @p314 (forall @t28 (or @t15 @t460 @t271 @t372))) % 15.95/16.16 (assume @p315 (forall @t28 (or @t461 @t460 @t375 @t107))) % 15.95/16.16 (assume @p316 (forall @t28 (or @t461 @t460 @t271 @t372))) % 15.95/16.16 (assume @p317 (forall @t149 (or (= (tptp.c_HOL_Ominus__class_Ominus @t80 @t147 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t145 @t79 tptp.tc_nat)) @t144))) % 15.95/16.16 (assume @p318 (forall @t296 (= (tptp.c_Divides_Odiv__class_Omod @t1 @t38 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p319 (forall (@list @t79 @t2 @t33) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t79 @t2 tptp.tc_nat) @t33 tptp.tc_nat) @t462))) % 15.95/16.16 (assume @p320 (forall @t8 (or (= @t45 @t1) @t46))) % 15.95/16.16 (assume @p321 (= @t38 @t214)) % 15.95/16.16 (assume @p322 (forall @t16 (or @t274 @t272 @t135 @t193))) % 15.95/16.16 (assume @p323 (forall @t261 (not @t463))) % 15.95/16.16 (assume @p324 (forall @t231 (not (tptp.c_HOL_Oord__class_Oless @t2 @t2 tptp.tc_nat)))) % 15.95/16.16 (assume @p325 (forall @t304 (or @t278 @t410))) % 15.95/16.16 (assume @p326 (forall @t304 (or @t114 @t410))) % 15.95/16.16 (assume @p327 (forall @t304 (or @t274 @t410))) % 15.95/16.16 (assume @p328 (forall (@list @t80 @t33) (or (not (tptp.c_lessequals @t80 @t464 tptp.tc_nat)) (= (tptp.c_HOL_Ominus__class_Ominus @t464 @t80 tptp.tc_nat) @t33)))) % 15.95/16.16 (assume @p329 (forall @t304 (or @t114 (= (tptp.c_Orderings_Oord__class_Omin @t11 @t11 @t9) @t11)))) % 15.95/16.16 (assume @p330 (forall @t231 (or @t53 (not (tptp.c_lessequals @t2 @t37 tptp.tc_nat))))) % 15.95/16.16 (assume @p331 (forall @t28 (or @t266 @t459 @t176 @t212))) % 15.95/16.16 (assume @p332 (forall @t98 (tptp.c_lessequals @t2 @t29 tptp.tc_nat))) % 15.95/16.16 (assume @p333 (forall @t98 (tptp.c_lessequals @t2 @t30 tptp.tc_nat))) % 15.95/16.16 (assume @p334 (forall @t151 (tptp.c_lessequals @t1 @t150 tptp.tc_nat))) % 15.95/16.16 (assume @p335 (forall @t98 (= (tptp.c_HOL_Oplus__class_Oplus @t465 @t1 tptp.tc_nat) (tptp.c_Orderings_Oord__class_Omax @t2 @t1 tptp.tc_nat)))) % 15.95/16.16 (assume @p336 (forall (@list @t466) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t466 @t466))) % 15.95/16.16 (assume @p337 (forall @t127 (or @t341 @t276 @t272 @t453))) % 15.95/16.16 (assume @p338 (forall @t16 (or @t114 @t453 @t276 @t272))) % 15.95/16.16 (assume @p339 (forall @t8 (or @t309 @t4 @t197))) % 15.95/16.16 (assume @p340 (forall @t98 (or @t97 @t31 @t309))) % 15.95/16.16 (assume @p341 (forall (@list @t156 @t467 @t20 @t466) (or (= @t156 @t467) (not (tptp.c_Natural_Oevalc @t20 @t466 @t156)) (not @t468)))) % 15.95/16.16 (assume @p342 (forall @t98 (or (not (= @t465 @t37)) @t199 @t309))) % 15.95/16.16 (assume @p343 (forall (@list @t10 @t11) (or (tptp.c_HOL_Oord__class_Oless @t10 @t11 tptp.tc_nat) @t92 @t453))) % 15.95/16.16 (assume @p344 (forall @t16 (or @t278 @t453 @t136 @t193))) % 15.95/16.16 (assume @p345 (forall @t127 (or @t114 @t276 @t272 @t453))) % 15.95/16.16 (assume @p346 (forall @t16 (or @t278 @t453 @t193 @t136))) % 15.95/16.16 (assume @p347 (forall @t127 (or @t114 @t276 @t453 @t272))) % 15.95/16.16 (assume @p348 (forall @t16 (or @t114 @t453 @t272 @t276))) % 15.95/16.16 (assume @p349 (forall @t336 (or @t407 @t335 @t334 (= @t406 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t333 @t332 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p350 (forall @t28 (or @t202 @t251 (not @t469)))) % 15.95/16.16 (assume @p351 (forall @t28 (or @t202 @t469 @t252))) % 15.95/16.16 (assume @p352 (forall @t304 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t11 @t11 @t9) @t11)))) % 15.95/16.16 (assume @p353 (forall @t179 (or @t471 @t470 @t174 @t173))) % 15.95/16.16 (assume @p354 (forall @t250 (or (tptp.c_HOL_Oord__class_Oless @t145 @t249 tptp.tc_nat) @t34 @t81))) % 15.95/16.16 (assume @p355 (forall @t472 (or @t405 @t93))) % 15.95/16.16 (assume @p356 (forall @t8 (or @t196 @t46))) % 15.95/16.16 (assume @p357 (forall @t16 (or @t278 @t192 @t273))) % 15.95/16.16 (assume @p358 (forall @t16 (or @t274 @t192 @t273))) % 15.95/16.16 (assume @p359 (forall (@list @t1 @t79 @t33) (or (= (tptp.c_HOL_Ominus__class_Ominus @t1 @t210 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t401 @t209 tptp.tc_nat)) @t144))) % 15.95/16.16 (assume @p360 (forall @t28 (or @t202 @t59 (not @t473)))) % 15.95/16.16 (assume @p361 (forall @t28 (or @t202 @t473 @t173))) % 15.95/16.16 (assume @p362 (forall @t184 (or @t104 @t474 @t252))) % 15.95/16.16 (assume @p363 (forall @t61 (or @t104 @t251 (not @t474)))) % 15.95/16.16 (assume @p364 (forall @t438 (or @t104 @t476 @t252))) % 15.95/16.16 (assume @p365 (forall @t61 (or @t104 @t251 (not @t476)))) % 15.95/16.16 (assume @p366 (forall @t184 (or @t255 @t474 @t252))) % 15.95/16.16 (assume @p367 (forall @t438 (or @t255 @t476 @t252))) % 15.95/16.16 (assume @p368 (forall @t87 (or (tptp.c_lessequals @t145 @t422 tptp.tc_nat) @t155))) % 15.95/16.16 (assume @p369 (forall @t286 (or @t196 (not @t477)))) % 15.95/16.16 (assume @p370 (forall @t245 (or @t477 @t197))) % 15.95/16.16 (assume @p371 (forall @t478 (or @t155 (= @t79 (tptp.c_HOL_Oplus__class_Oplus @t157 @t80 tptp.tc_nat))))) % 15.95/16.16 (assume @p372 (forall @t98 (or @t479 @t4))) % 15.95/16.16 (assume @p373 (forall @t8 (or (= (tptp.c_HOL_Oplus__class_Oplus @t5 @t2 tptp.tc_nat) @t1) @t4))) % 15.95/16.16 (assume @p374 (forall @t286 (or @t31 @t432))) % 15.95/16.16 (assume @p375 (forall @t286 (or @t31 @t430))) % 15.95/16.16 (assume @p376 (forall @t149 (or (= @t378 @t379) @t144))) % 15.95/16.16 (assume @p377 (forall @t355 (or (= @t380 @t382) @t144))) % 15.95/16.16 (assume @p378 (forall @t16 (or @t480 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t228 @t9) @t228)))) % 15.95/16.16 (assume @p379 (forall (@list @t11 @t2 @t424 @t10 @t481) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Otimes__class_Otimes @t2 @t424 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t10 (tptp.c_HOL_Otimes__class_Otimes @t2 @t481 tptp.tc_nat) tptp.tc_nat))) (= (tptp.c_Divides_Odiv__class_Omod @t11 @t2 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t10 @t2 tptp.tc_nat))))) % 15.95/16.16 (assume @p380 (forall @t179 (or @t60 @t178 @t440 @t107 @t253 @t173))) % 15.95/16.16 (assume @p381 (forall @t179 (or @t60 @t178 @t58 @t212 @t174 @t252))) % 15.95/16.16 (assume @p382 (forall @t231 (or @t43 @t53))) % 15.95/16.16 (assume @p383 (forall @t482 (not (= @t121 tptp.c_Com_Ocom_OSKIP)))) % 15.95/16.16 (assume @p384 (not (tptp.c_HOL_Oord__class_Oless @t37 @t37 tptp.tc_nat))) % 15.95/16.16 (assume @p385 (forall @t28 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t26 @t24 @t9) @t215)))) % 15.95/16.16 (assume @p386 (forall @t343 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t25 @t24 @t9) @t215)))) % 15.95/16.16 (assume @p387 (forall @t343 (or @t15 @t270 @t374 @t483))) % 15.95/16.16 (assume @p388 (forall @t28 (or @t15 @t371 @t374 @t483))) % 15.95/16.16 (assume @p389 (forall @t343 (or @t15 @t270 @t106 @t483))) % 15.95/16.16 (assume @p390 (forall @t28 (or @t15 @t371 @t106 @t483))) % 15.95/16.16 (assume @p391 (forall @t343 (or @t60 (tptp.c_HOL_Oord__class_Oless @t267 @t14 @t9) @t345 @t212))) % 15.95/16.16 (assume @p392 (forall @t28 (or @t60 @t484 @t345 @t212))) % 15.95/16.16 (assume @p393 (forall @t28 (or @t60 @t484 @t176 @t338))) % 15.95/16.16 (assume @p394 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t2 @t40 tptp.tc_nat) @t443 @t442))) % 15.95/16.16 (assume @p395 (forall @t98 (or (tptp.c_HOL_Oord__class_Oless @t2 @t262 tptp.tc_nat) @t443 @t442))) % 15.95/16.16 (assume @p396 (forall @t286 (or @t31 (not @t485) @t418 @t417))) % 15.95/16.16 (assume @p397 (forall @t241 (or @t485 @t46 @t418 @t417))) % 15.95/16.16 (assume @p398 (forall @t105 (or (not (tptp.class_Ring__and__Field_Oordered__semidom @t9)) @t213 @t416 @t212))) % 15.95/16.16 (assume @p399 (forall @t19 (or @t234 @t486 @t372))) % 15.95/16.16 (assume @p400 (forall @t19 (or @t234 @t371 (not @t486)))) % 15.95/16.16 (assume @p401 (forall @t8 (= (tptp.c_HOL_Otimes__class_Otimes @t37 @t1 tptp.tc_nat) @t395))) % 15.95/16.16 (assume @p402 (forall @t8 (= @t396 (tptp.c_HOL_Otimes__class_Otimes @t2 @t37 tptp.tc_nat)))) % 15.95/16.16 (assume @p403 (forall @t478 (not (tptp.c_HOL_Oord__class_Oless @t86 @t80 tptp.tc_nat)))) % 15.95/16.16 (assume @p404 (forall (@list @t79 @t80) (not (tptp.c_HOL_Oord__class_Oless @t381 @t80 tptp.tc_nat)))) % 15.95/16.16 (assume @p405 (forall (@list @t24 @t488 @t20 @t487) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t24 (tptp.c_Divides_Odiv__class_Omod @t488 @t20 tptp.tc_nat) tptp.tc_nat) @t487 tptp.tc_nat) @t370 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t487 @t24 tptp.tc_nat)) (not (tptp.c_HOL_Oord__class_Oless @t37 @t20 tptp.tc_nat))))) % 15.95/16.16 (assume @p406 (forall @t184 (or @t73 @t441 @t489 @t102))) % 15.95/16.16 (assume @p407 (forall @t438 (or @t73 @t436 @t489 @t102))) % 15.95/16.16 (assume @p408 (forall @t184 (or @t490 @t441 @t58 @t252))) % 15.95/16.16 (assume @p409 (forall @t438 (or @t490 @t436 @t58 @t252))) % 15.95/16.16 (assume @p410 (forall @t438 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t9)) @t436 @t58 @t252))) % 15.95/16.16 (assume @p411 (forall @t8 (or @t326 @t31))) % 15.95/16.16 (assume @p412 (forall (@list @t9 @t11 @t487 @t20 @t62) (or @t52 @t51 (not (= (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Otimes__class_Otimes @t487 @t20 @t9) @t9) (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Otimes__class_Otimes @t487 @t62 @t9) @t9))) @t369 (= @t487 @t14)))) % 15.95/16.16 (assume @p413 (forall (@list @t11 @t487 @t20 @t62) (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Otimes__class_Otimes @t487 @t20 tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t11 (tptp.c_HOL_Otimes__class_Otimes @t487 @t62 tptp.tc_nat) tptp.tc_nat))) @t369 (= @t487 @t37)))) % 15.95/16.16 (assume @p414 (forall @t16 (or @t15 @t491 @t315))) % 15.95/16.16 (assume @p415 (forall @t16 (or @t15 @t491 @t319))) % 15.95/16.16 (assume @p416 (forall @t343 (or @t461 (tptp.c_lessequals @t267 @t14 @t9) @t375 @t107))) % 15.95/16.16 (assume @p417 (forall @t19 (or @t15 (not (tptp.c_HOL_Oord__class_Oless @t492 @t14 @t9))))) % 15.95/16.16 (assume @p418 (forall @t245 (or @t496 @t46))) % 15.95/16.16 (assume @p419 (forall @t286 (or @t31 (not @t496)))) % 15.95/16.16 (assume @p420 (forall @t91 (or (not (= (tptp.c_HOL_Oplus__class_Oplus @t11 @t10 tptp.tc_nat) @t284)) @t367))) % 15.95/16.16 (assume @p421 (forall @t241 (or (not (= @t401 @t285)) @t309))) % 15.95/16.16 (assume @p422 (forall @t245 (or (not (= @t208 @t35)) @t309))) % 15.95/16.16 (assume @p423 (forall @t115 (or @t52 @t51 (not (= @t36 @t282)) @t367))) % 15.95/16.16 (assume @p424 (forall @t61 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t9)) @t498 @t497))) % 15.95/16.16 (assume @p425 (forall @t61 (or @t499 @t498 @t497))) % 15.95/16.16 (assume @p426 (forall @t105 (or @t499 (not (= @t25 @t21)) @t497))) % 15.95/16.16 (assume @p427 (forall @t8 (tptp.c_lessequals @t45 @t1 tptp.tc_nat))) % 15.95/16.16 (assume @p428 (forall @t115 (or @t104 (= (tptp.c_HOL_Oplus__class_Oplus @t110 @t88 @t9) (tptp.c_Orderings_Oord__class_Omin @t282 @t280 @t9))))) % 15.95/16.16 (assume @p429 (forall @t286 (or (tptp.c_lessequals @t1 (tptp.c_HOL_Ominus__class_Ominus @t29 @t33 tptp.tc_nat) tptp.tc_nat) @t418))) % 15.95/16.16 (assume @p430 (forall @t61 (or @t407 (= @t406 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus @t182 @t268 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p431 (forall @t8 (or (not @t501) (= @t361 @t37)))) % 15.95/16.16 (assume @p432 (forall @t61 (or @t18 (= @t181 @t183)))) % 15.95/16.16 (assume @p433 (forall @t61 (or @t18 (= @t181 (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t17 @t268 @t9) @t20 @t9))))) % 15.95/16.16 (assume @p434 (forall @t8 (or @t502 @t42 @t53))) % 15.95/16.16 (assume @p435 (forall @t8 (or @t502 @t320 @t39))) % 15.95/16.16 (assume @p436 (forall @t245 (or @t503 @t197))) % 15.95/16.16 (assume @p437 (forall @t286 (or @t196 (not @t503)))) % 15.95/16.16 (assume @p438 (forall @t16 (or @t15 @t504 @t319))) % 15.95/16.16 (assume @p439 (forall @t16 (or @t15 @t504 @t315))) % 15.95/16.16 (assume @p440 (forall (@list @t9 @t17 @t24 @t20 @t62) (or @t23 (= (tptp.c_HOL_Oplus__class_Oplus @t26 @t291 @t9) (tptp.c_HOL_Oplus__class_Oplus @t22 @t254 @t9))))) % 15.95/16.16 (assume @p441 (forall (@list @t505 @t246) (or (not (= (tptp.c_Com_Ocom_OBODY @t505) @t247)) (= @t505 @t246)))) % 15.95/16.16 (assume @p442 (forall @t16 (or @t114 (= @t126 @t506)))) % 15.95/16.16 (assume @p443 (forall @t115 (or @t114 (tptp.c_lessequals @t111 @t113 @t9)))) % 15.95/16.16 (assume @p444 (forall @t231 (= (tptp.c_Orderings_Oord__class_Omax @t2 @t37 tptp.tc_nat) @t2))) % 15.95/16.16 (assume @p445 (forall @t231 (= (tptp.c_Orderings_Oord__class_Omax @t37 @t2 tptp.tc_nat) @t2))) % 15.95/16.16 (assume @p446 (forall @t16 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t11 @t110 @t9) @t11)))) % 15.95/16.16 (assume @p447 (forall @t296 (tptp.c_lessequals @t1 @t507 tptp.tc_nat))) % 15.95/16.16 (assume @p448 (forall @t438 (or @t15 @t434 @t439 @t300))) % 15.95/16.16 (assume @p449 (forall @t105 (or @t15 @t508 @t59 @t300))) % 15.95/16.16 (assume @p450 (forall @t438 (or @t15 @t434 @t439 @t57))) % 15.95/16.16 (assume @p451 (forall @t105 (or @t15 @t508 @t59 @t57))) % 15.95/16.16 (assume @p452 (forall @t510 (or (= (tptp.c_HOL_Ominus__class_Ominus @t2 @t509 tptp.tc_nat) @t80) (not (tptp.c_lessequals @t80 @t2 tptp.tc_nat))))) % 15.95/16.16 (assume @p453 (forall @t245 (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t45 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t243 @t242 tptp.tc_nat)))) % 15.95/16.16 (assume @p454 (forall @t286 (= (tptp.c_HOL_Otimes__class_Otimes @t45 @t33 tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod @t239 @t238 tptp.tc_nat)))) % 15.95/16.16 (assume @p455 (forall @t241 (or @t429 @t46 @t428))) % 15.95/16.16 (assume @p456 (forall @t245 (or @t431 @t46 @t428))) % 15.95/16.16 (assume @p457 (forall @t513 (or (tptp.c_HOL_Oord__class_Oless @t512 @t511 tptp.tc_nat) @t428 @t81))) % 15.95/16.16 (assume @p458 (forall @t87 (or (tptp.c_HOL_Oord__class_Oless @t515 @t514 tptp.tc_nat) @t428 @t81))) % 15.95/16.16 (assume @p459 (forall @t286 (or @t31 @t432 @t428))) % 15.95/16.16 (assume @p460 (forall @t105 (or @t15 @t508 @t300 @t435))) % 15.95/16.16 (assume @p461 (forall @t438 (or @t15 @t299 @t516 @t435))) % 15.95/16.16 (assume @p462 (forall @t61 (or @t15 @t59 @t300 @t440))) % 15.95/16.16 (assume @p463 (forall @t438 (or @t15 @t299 @t173 @t440))) % 15.95/16.16 (assume @p464 (forall @t438 (or @t15 @t299 @t435 @t516))) % 15.95/16.16 (assume @p465 (forall @t438 (or @t60 @t299 @t440 @t173))) % 15.95/16.16 (assume @p466 (forall @t184 (or @t15 @t56 @t435 @t516))) % 15.95/16.16 (assume @p467 (forall @t184 (or @t60 @t56 @t440 @t173))) % 15.95/16.16 (assume @p468 (forall @t184 (or @t15 @t56 @t173 @t440))) % 15.95/16.16 (assume @p469 (forall @t184 (or @t15 @t56 @t516 @t435))) % 15.95/16.16 (assume @p470 (forall @t438 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t9)) @t299 @t440 @t173))) % 15.95/16.16 (assume @p471 (forall @t517 (not (= tptp.c_Com_Ocom_OSKIP @t247)))) % 15.95/16.16 (assume @p472 (forall @t115 (or @t104 (= (tptp.c_HOL_Oplus__class_Oplus @t126 @t88 @t9) (tptp.c_Orderings_Oord__class_Omax @t282 @t280 @t9))))) % 15.95/16.16 (assume @p473 (forall @t250 (or (tptp.c_lessequals @t515 (tptp.c_HOL_Otimes__class_Otimes @t79 @t32 tptp.tc_nat) tptp.tc_nat) @t248 @t155))) % 15.95/16.16 (assume @p474 (forall @t296 (tptp.c_lessequals @t1 (tptp.c_HOL_Otimes__class_Otimes @t1 @t507 tptp.tc_nat) tptp.tc_nat))) % 15.95/16.16 (assume @p475 (forall @t179 (or @t519 @t518 @t58 @t271 @t253 @t252))) % 15.95/16.16 (assume @p476 (forall @t179 (or @t519 @t518 @t58 @t107 @t253 @t252))) % 15.95/16.16 (assume @p477 (forall @t115 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t126 @t88 @t9) @t520)))) % 15.95/16.16 (assume @p478 (forall @t115 (or @t114 (= @t520 (tptp.c_Orderings_Oord__class_Omax @t10 @t521 @t9))))) % 15.95/16.16 (assume @p479 (forall @t363 (= (tptp.c_Divides_Odiv__class_Omod @t362 @t2 tptp.tc_nat) @t45))) % 15.95/16.16 (assume @p480 (forall @t184 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t17 @t297 @t9) @t24 @t9) @t215)))) % 15.95/16.16 (assume @p481 (forall @t61 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Oplus__class_Oplus @t17 @t54 @t9) @t24 @t9) @t215)))) % 15.95/16.16 (assume @p482 (forall (@list @t9 @t17 @t1 @t24) (or @t23 (= (tptp.c_HOL_Oplus__class_Oplus (tptp.c_HOL_Otimes__class_Otimes @t17 @t1 @t9) (tptp.c_HOL_Otimes__class_Otimes @t24 @t1 @t9) @t9) (tptp.c_HOL_Otimes__class_Otimes @t26 @t1 @t9))))) % 15.95/16.16 (assume @p483 (forall @t304 (or @t23 (= (tptp.c_HOL_Oplus__class_Oplus @t14 @t11 @t9) @t11)))) % 15.95/16.16 (assume @p484 (forall @t19 (or @t27 @t522))) % 15.95/16.16 (assume @p485 (forall @t261 (= @t11 (tptp.c_HOL_Oplus__class_Oplus @t11 @t37 tptp.tc_nat)))) % 15.95/16.16 (assume @p486 (forall @t231 (= (tptp.c_HOL_Oplus__class_Oplus @t37 @t2 tptp.tc_nat) @t2))) % 15.95/16.16 (assume @p487 (forall @t296 (= (tptp.c_HOL_Oplus__class_Oplus @t1 @t37 tptp.tc_nat) @t1))) % 15.95/16.16 (assume @p488 (forall @t304 (or @t52 @t51 (= @t11 (tptp.c_HOL_Oplus__class_Oplus @t11 @t14 @t9))))) % 15.95/16.16 (assume @p489 (forall @t19 (or @t27 @t523))) % 15.95/16.16 (assume @p490 (forall @t19 (or @t524 @t522))) % 15.95/16.16 (assume @p491 (forall @t19 (or @t524 @t523))) % 15.95/16.16 (assume @p492 (forall @t19 (or @t23 @t523))) % 15.95/16.16 (assume @p493 (forall @t19 (or @t23 @t522))) % 15.95/16.16 (assume @p494 (forall @t264 (or @t15 (not (tptp.c_HOL_Oord__class_Oless @t14 @t377 @t9))))) % 15.95/16.16 (assume @p495 (forall @t16 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t11 @t126 @t9) @t126)))) % 15.95/16.16 (assume @p496 (forall @t28 (or @t15 @t371 @t106 @t526))) % 15.95/16.16 (assume @p497 (forall @t343 (or @t15 @t374 @t106 @t526))) % 15.95/16.16 (assume @p498 (forall @t28 (or @t15 @t371 @t270 @t526))) % 15.95/16.16 (assume @p499 (forall @t343 (or @t15 @t374 @t270 @t526))) % 15.95/16.16 (assume @p500 (forall (@list @t11 @t9) (= (tptp.c_Fun_Oid @t11 @t9) @t11))) % 15.95/16.16 (assume @p501 (forall @t8 (= (tptp.c_HOL_Ominus__class_Ominus @t30 @t2 tptp.tc_nat) @t1))) % 15.95/16.16 (assume @p502 (forall @t98 (= (tptp.c_HOL_Ominus__class_Ominus @t29 @t2 tptp.tc_nat) @t1))) % 15.95/16.16 (assume @p503 (forall @t28 (or @t236 (= (tptp.c_HOL_Ominus__class_Ominus @t26 @t24 @t9) @t17)))) % 15.95/16.16 (assume @p504 (forall @t179 (or @t471 @t470 @t174 @t252))) % 15.95/16.16 (assume @p505 (forall @t179 (or @t471 @t470 @t253 @t173))) % 15.95/16.16 (assume @p506 (forall (@list @t467 @t466) (or @t527 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t466 @t467))))) % 15.95/16.16 (assume @p507 (forall @t8 (or @t294 @t44))) % 15.95/16.16 (assume @p508 (forall @t8 (or @t294 @t346))) % 15.95/16.16 (assume @p509 (forall @t19 (or @t234 @t211 (not @t528)))) % 15.95/16.16 (assume @p510 (forall @t19 (or @t234 @t528 @t212))) % 15.95/16.16 (assume @p511 (tptp.c_lessequals @t37 @t37 tptp.tc_nat)) % 15.95/16.16 (assume @p512 (forall @t87 (or @t530 (not @t529)))) % 15.95/16.16 (assume @p513 (forall @t149 (or @t529 (not @t530)))) % 15.95/16.16 (assume @p514 (forall @t184 (or @t471 @t531 @t173))) % 15.95/16.16 (assume @p515 (forall @t184 (or @t104 @t531 @t173))) % 15.95/16.16 (assume @p516 (forall @t61 (or @t104 @t59 (not @t531)))) % 15.95/16.16 (assume @p517 (forall @t438 (or @t471 @t532 @t173))) % 15.95/16.16 (assume @p518 (forall @t438 (or @t104 @t532 @t173))) % 15.95/16.16 (assume @p519 (forall @t61 (or @t104 @t59 (not @t532)))) % 15.95/16.16 (assume @p520 (forall @t87 (or (tptp.c_HOL_Oord__class_Oless @t145 @t422 tptp.tc_nat) @t81))) % 15.95/16.16 (assume @p521 (forall @t286 (or @t31 (not @t533)))) % 15.95/16.16 (assume @p522 (forall @t245 (or @t533 @t46))) % 15.95/16.16 (assume @p523 (forall @t8 (or @t397 (not @t399) (not @t400)))) % 15.95/16.16 (assume @p524 (forall @t221 (or @t278 @t137 @t349 @t136))) % 15.95/16.16 (assume @p525 (forall @t221 (or @t278 @t216 @t349 @t277))) % 15.95/16.16 (assume @p526 (forall @t221 (or @t278 @t216 @t219 @t136))) % 15.95/16.16 (assume @p527 (forall @t28 (or @t266 (tptp.c_lessequals @t26 @t14 @t9) @t375 @t372))) % 15.95/16.16 (assume @p528 (forall @t275 (or @t274 @t139 @t142 @t193))) % 15.95/16.16 (assume @p529 (forall @t231 (tptp.c_lessequals @t2 @t2 tptp.tc_nat))) % 15.95/16.16 (assume @p530 (forall @t87 (or (tptp.c_lessequals @t80 @t33 tptp.tc_nat) (not (tptp.c_lessequals @t79 @t33 tptp.tc_nat)) @t155))) % 15.95/16.16 (assume @p531 (forall @t261 @t260)) % 15.95/16.16 (assume @p532 (forall @t304 (or @t278 @t411))) % 15.95/16.16 (assume @p533 (forall @t304 (or @t274 @t411))) % 15.95/16.16 (assume @p534 (forall @t275 (or @t274 @t203 @t206 @t193))) % 15.95/16.16 (assume @p535 (forall @t275 (or @t274 @t203 @t142 @t273))) % 15.95/16.16 (assume @p536 (forall (@list @t9 @t17 @t24 @t62 @t20) (or @t202 (tptp.c_lessequals @t17 @t254 @t9) @t253 (not (tptp.c_lessequals @t17 @t287 @t9))))) % 15.95/16.16 (assume @p537 (forall (@list @t1 @t80 @t2) (= (tptp.c_Orderings_Oord__class_Omin (tptp.c_HOL_Ominus__class_Ominus @t1 @t80 tptp.tc_nat) @t509 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t534 @t80 tptp.tc_nat)))) % 15.95/16.16 (assume @p538 (= @t415 @t38)) % 15.95/16.16 (assume @p539 (forall @t304 (or @t480 (= @t12 @t11)))) % 15.95/16.16 (assume @p540 (forall @t28 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t180 @t24 @t9) @t14)))) % 15.95/16.16 (assume @p541 (forall @t343 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t267 @t24 @t9) @t14)))) % 15.95/16.16 (assume @p542 (forall (@list @t62 @t11) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Otimes__class_Otimes @t62 @t11 tptp.tc_nat) @t62 tptp.tc_nat) @t37))) % 15.95/16.16 (assume @p543 (forall @t179 (or @t60 @t178 @t58 @t107 @t174 @t173))) % 15.95/16.16 (assume @p544 (forall @t98 (or @t537 @t536 @t197))) % 15.95/16.16 (assume @p545 (forall @t517 (not (= @t247 tptp.c_Com_Ocom_OSKIP)))) % 15.95/16.16 (assume @p546 (forall @t87 (or (tptp.c_lessequals @t515 @t514 tptp.tc_nat) @t155))) % 15.95/16.16 (assume @p547 (forall @t513 (or (tptp.c_lessequals @t512 @t511 tptp.tc_nat) @t155))) % 15.95/16.16 (assume @p548 (forall @t245 (or @t244 @t197))) % 15.95/16.16 (assume @p549 (forall @t241 (or @t240 @t197))) % 15.95/16.16 (assume @p550 (forall @t8 (or @t31 (not @t538)))) % 15.95/16.16 (assume @p551 (forall @t98 (or @t538 @t46))) % 15.95/16.16 (assume @p552 (forall @t264 (or @t15 (= @t377 @t14)))) % 15.95/16.16 (assume @p553 (forall @t438 (or @t15 @t434 @t59 @t57))) % 15.95/16.16 (assume @p554 (forall @t105 (or @t15 @t508 @t439 @t57))) % 15.95/16.16 (assume @p555 (forall @t438 (or @t15 @t434 @t59 @t300))) % 15.95/16.16 (assume @p556 (forall @t105 (or @t15 @t508 @t439 @t300))) % 15.95/16.16 (assume @p557 (forall @t231 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t2 @t38 tptp.tc_nat)) @t2) @t44))) % 15.95/16.16 (assume @p558 (forall @t8 (or (tptp.c_HOL_Oord__class_Oless @t5 @t1 tptp.tc_nat) @t346 @t44))) % 15.95/16.16 (assume @p559 (forall @t115 (or @t114 (tptp.c_lessequals @t540 @t539 @t9)))) % 15.95/16.16 (assume @p560 (forall @t543 (or @t202 @t542 @t541 @t136))) % 15.95/16.16 (assume @p561 (forall @t543 (or @t202 @t542 @t135 (not @t541)))) % 15.95/16.16 (assume @p562 (forall @t543 (or @t202 @t542 @t544 @t273))) % 15.95/16.16 (assume @p563 (forall @t543 (or @t202 @t542 @t272 (not @t544)))) % 15.95/16.16 (assume @p564 (forall @t184 (or @t18 (= @t412 @t269)))) % 15.95/16.16 (assume @p565 (forall @t61 (or @t18 (= @t413 @t269)))) % 15.95/16.16 (assume @p566 (forall @t98 (or @t479 @t31))) % 15.95/16.16 (assume @p567 (forall @t510 (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t2 @t545 tptp.tc_nat) @t2 tptp.tc_nat) @t44))) % 15.95/16.16 (assume @p568 (forall @t8 (or @t502 @t42 @t39))) % 15.95/16.16 (assume @p569 (forall @t8 (or @t502 @t320 @t53))) % 15.95/16.16 (assume @p570 (forall @t117 (or @t114 (= (tptp.c_Orderings_Oord__class_Omax @t194 @t11 @t9) (tptp.c_Orderings_Oord__class_Omin @t506 (tptp.c_Orderings_Oord__class_Omax @t88 @t11 @t9) @t9))))) % 15.95/16.16 (assume @p571 (forall @t115 (or @t114 (= @t540 @t539)))) % 15.95/16.16 (assume @p572 (forall @t343 (or @t278 @t508 @t368 @t102))) % 15.95/16.16 (assume @p573 (forall @t343 (or @t278 @t508 @t102 @t368))) % 15.95/16.16 (assume @p574 (forall @t8 (or @t31 @t309 @t197))) % 15.95/16.16 (assume @p575 (forall @t8 (or @t309 @t31 @t197))) % 15.95/16.16 (assume @p576 (forall @t16 (or @t278 @t453 @t272 @t193))) % 15.95/16.16 (assume @p577 (forall @t16 (or @t278 @t272 @t453 @t193))) % 15.95/16.16 (assume @p578 (forall @t28 (or @t278 @t59 @t368 @t252))) % 15.95/16.16 (assume @p579 (forall @t28 (or @t278 @t59 @t252 @t368))) % 15.95/16.16 (assume @p580 (forall @t16 (or @t114 @t453 @t193 @t272))) % 15.95/16.16 (assume @p581 (forall @t16 (or @t114 @t453 @t272 @t193))) % 15.95/16.16 (assume @p582 (forall @t28 (or @t461 @t525 @t271 @t107))) % 15.95/16.16 (assume @p583 (forall @t28 (or @t15 @t525 @t375 @t372))) % 15.95/16.16 (assume @p584 (forall @t28 (or @t15 @t525 @t271 @t107))) % 15.95/16.16 (assume @p585 (forall @t19 (or @t15 (tptp.c_lessequals @t14 @t492 @t9)))) % 15.95/16.16 (assume @p586 (forall @t28 (or @t73 @t525 @t375 @t372))) % 15.95/16.16 (assume @p587 (forall @t28 (or @t73 @t525 @t271 @t107))) % 15.95/16.16 (assume @p588 (forall @t184 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t55 @t54 @t9) (tptp.c_HOL_Otimes__class_Otimes @t215 @t20 @t9))))) % 15.95/16.16 (assume @p589 (forall @t438 (or @t18 (= (tptp.c_Divides_Odiv__class_Omod @t298 @t297 @t9) (tptp.c_HOL_Otimes__class_Otimes @t20 @t215 @t9))))) % 15.95/16.16 (assume @p590 (forall @t61 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t9)) (= (tptp.c_HOL_Otimes__class_Otimes @t180 @t20 @t9) (tptp.c_HOL_Otimes__class_Otimes @t17 @t54 @t9))))) % 15.95/16.16 (assume @p591 (forall @t547 (or @t23 (= @t546 (tptp.c_HOL_Otimes__class_Otimes @t387 @t384 @t9))))) % 15.95/16.16 (assume @p592 (forall @t547 (or @t23 (= @t546 (tptp.c_HOL_Otimes__class_Otimes @t386 (tptp.c_HOL_Otimes__class_Otimes @t384 @t385 @t9) @t9))))) % 15.95/16.16 (assume @p593 (forall @t549 (or @t23 (= @t548 (tptp.c_HOL_Otimes__class_Otimes @t387 @t383 @t9))))) % 15.95/16.16 (assume @p594 (forall @t549 (or @t23 (= @t548 (tptp.c_HOL_Otimes__class_Otimes @t385 (tptp.c_HOL_Otimes__class_Otimes @t386 @t383 @t9) @t9))))) % 15.95/16.16 (assume @p595 (forall @t286 (= (tptp.c_HOL_Otimes__class_Otimes @t40 @t33 tptp.tc_nat) (tptp.c_HOL_Otimes__class_Otimes @t1 @t238 tptp.tc_nat)))) % 15.95/16.16 (assume @p596 (forall @t115 (or @t23 (= (tptp.c_HOL_Otimes__class_Otimes @t11 (tptp.c_HOL_Otimes__class_Otimes @t10 @t88 @t9) @t9) (tptp.c_HOL_Otimes__class_Otimes @t228 @t88 @t9))))) % 15.95/16.16 (assume @p597 (forall @t61 (or @t23 @t550))) % 15.95/16.16 (assume @p598 (forall @t61 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t9)) @t550))) % 15.95/16.16 (assume @p599 (forall @t286 (= (tptp.c_HOL_Otimes__class_Otimes @t30 @t33 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t239 @t238 tptp.tc_nat)))) % 15.95/16.16 (assume @p600 (forall @t245 (= (tptp.c_HOL_Otimes__class_Otimes @t33 @t30 tptp.tc_nat) (tptp.c_HOL_Oplus__class_Oplus @t243 @t242 tptp.tc_nat)))) % 15.95/16.16 (assume @p601 (forall @t115 (or @t23 (= (tptp.c_HOL_Otimes__class_Otimes @t11 @t280 @t9) @t230)))) % 15.95/16.16 (assume @p602 (forall @t482 (not (= tptp.c_Com_Ocom_OSKIP @t121)))) % 15.95/16.16 (assume @p603 (forall @t28 (or @t278 @t173 @t516))) % 15.95/16.16 (assume @p604 (forall @t16 (or @t114 @t273 @t277))) % 15.95/16.16 (assume @p605 (forall @t98 (or @t3 @t196))) % 15.95/16.16 (assume @p606 (forall @t127 (or @t114 @t135 @t192))) % 15.95/16.16 (assume @p607 (forall @t127 (or @t274 @t277 @t273))) % 15.95/16.16 (assume @p608 (forall @t343 (or @t274 @t516 @t173))) % 15.95/16.16 (assume @p609 (forall @t98 (or @t551 @t4))) % 15.95/16.16 (assume @p610 (forall @t98 (or @t3 (not @t551)))) % 15.95/16.16 (assume @p611 (forall @t245 (or (not (= @t495 @t494)) @t309))) % 15.95/16.16 (assume @p612 (forall @t8 (or @t256 @t46))) % 15.95/16.16 (assume @p613 (forall @t8 (or @t31 (not @t552)))) % 15.95/16.16 (assume @p614 (forall (@list @t20 @t466 @t1 @t467 @t2) (or (tptp.c_Natural_Oevaln @t20 @t466 @t1 @t467) @t4 @t553))) % 15.95/16.16 (assume @p615 (forall @t8 (= @t361 (tptp.c_Divides_Odiv__class_Omod @t500 @t2 tptp.tc_nat)))) % 15.95/16.16 (assume @p616 (forall @t231 (not (= @t2 @t94)))) % 15.95/16.16 (assume @p617 (forall @t231 (not (= @t94 @t2)))) % 15.95/16.16 (assume @p618 (forall @t231 (not (tptp.c_lessequals @t94 @t2 tptp.tc_nat)))) % 15.95/16.16 (assume @p619 (forall @t8 (or @t554 @t197))) % 15.95/16.16 (assume @p620 (forall @t8 (or @t196 @t100))) % 15.95/16.16 (assume @p621 (forall @t87 (or (tptp.c_HOL_Oord__class_Oless @t545 @t33 tptp.tc_nat) @t462 @t81))) % 15.95/16.16 (assume @p622 (forall @t261 @t259)) % 15.95/16.16 (assume @p623 (forall @t231 (tptp.c_HOL_Oord__class_Oless @t2 @t94 tptp.tc_nat))) % 15.95/16.16 (assume @p624 (forall @t296 (not (= @t6 @t37)))) % 15.95/16.16 (assume @p625 (forall @t557 (not (= @t556 @t37)))) % 15.95/16.16 (assume @p626 (forall (@list @t466 @t2) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t466 @t2 @t466))) % 15.95/16.16 (assume @p627 (forall (@list @t20 @t466 @t2 @t558) (or (tptp.c_Natural_Oevaln @t20 @t466 @t94 @t558) (not (tptp.c_Natural_Oevaln @t20 @t466 @t2 @t558))))) % 15.95/16.16 (assume @p628 (forall @t98 (or @t537 @t536 @t97))) % 15.95/16.16 (assume @p629 (forall @t8 (or @t309 @t536 @t97))) % 15.95/16.16 (assume @p630 (forall @t8 (or @t309 @t31 @t257))) % 15.95/16.16 (assume @p631 (forall @t8 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t94 tptp.tc_nat) @t5))) % 15.95/16.16 (assume @p632 (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x)) % 15.95/16.16 (assume @p633 (forall (@list @t559 @t555) (or (not (= (tptp.c_Suc @t559) @t556)) (= @t559 @t555)))) % 15.95/16.16 (assume @p634 (forall @t472 (or (not (= @t258 (tptp.c_Suc @t10))) @t453))) % 15.95/16.16 (assume @p635 (forall (@list @t565 @t447 @t448 @t444 @t560 @t563 @t564 @t561) (or (tptp.c_Natural_Oevaln @t565 @t447 @t567 @t563) @t566 @t562))) % 15.95/16.16 (assume @p636 (forall (@list @t448 @t444 @t565 @t447 @t560 @t563 @t564 @t561) (or (tptp.c_Natural_Oevaln @t448 @t444 @t567 @t560) @t566 @t562))) % 15.95/16.16 (assume @p637 (forall @t296 (not (= @t37 @t6)))) % 15.95/16.16 (assume @p638 (forall @t557 (not (= @t37 @t556)))) % 15.95/16.16 (assume @p639 (forall @t8 (= @t569 @t568))) % 15.95/16.16 (assume @p640 (forall @t8 (= @t570 @t568))) % 15.95/16.16 (assume @p641 (forall @t8 (= (tptp.c_Orderings_Oord__class_Omax @t6 @t94 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t1 @t2 tptp.tc_nat))))) % 15.95/16.16 (assume @p642 (forall @t8 (or (= @t361 @t500) @t501))) % 15.95/16.16 (assume @p643 (forall (@list @t446 @t448 @t445 @t2 @t447 @t444) (or (tptp.c_Natural_Oevaln @t449 @t445 @t2 @t447) (not (tptp.c_Natural_Oevaln @t448 @t444 @t2 @t447)) (not (tptp.c_Natural_Oevaln @t446 @t445 @t2 @t444))))) % 15.95/16.16 (assume @p644 (forall @t8 (= @t569 @t570))) % 15.95/16.16 (assume @p645 (forall @t8 (or @t552 (= @t6 @t2) @t46))) % 15.95/16.16 (assume @p646 (forall @t8 (or @t197 @t96))) % 15.95/16.16 (assume @p647 (forall @t98 (or @t95 @t196))) % 15.95/16.16 (assume @p648 (forall @t286 (= (tptp.c_HOL_Ominus__class_Ominus @t7 @t493 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t5 @t33 tptp.tc_nat)))) % 15.95/16.16 (assume @p649 (forall @t231 (tptp.c_lessequals @t94 @t94 tptp.tc_nat))) % 15.95/16.16 (assume @p650 (forall @t8 (= (tptp.c_Orderings_Oord__class_Omin @t6 @t94 tptp.tc_nat) (tptp.c_Suc @t534)))) % 15.95/16.16 (assume @p651 (forall (@list @t2 @t571 @t466 @t444) (or (= @t2 (tptp.c_Suc (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 @t571 @t2 @t466 @t444))) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY @t571) @t466 @t2 @t444))))) % 15.95/16.16 (assume @p652 (forall @t8 (or (= @t1 @t94) @t196 (not @t554)))) % 15.95/16.16 (assume @p653 (forall @t261 (or @t463 @t259))) % 15.95/16.16 (assume @p654 (forall @t8 (or @t46 @t536))) % 15.95/16.16 (assume @p655 (forall @t98 (or @t535 @t31))) % 15.95/16.16 (assume @p656 (forall (@list @t467 @t466 @t2) (or @t527 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t466 @t2 @t467))))) % 15.95/16.16 (assume @p657 (forall (@list @t11 @t2) (or (tptp.c_HOL_Oord__class_Oless @t258 @t94 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t11 @t2 tptp.tc_nat))))) % 15.95/16.16 (assume @p658 (forall @t8 (or @t31 (not @t572)))) % 15.95/16.16 (assume @p659 (forall @t8 (or @t572 @t46))) % 15.95/16.16 (assume @p660 (forall (@list @t20 @t466 @t467 @t2) (or @t468 @t553))) % 15.95/16.16 (assume @p661 (forall (@list @t20 @t466 @t467 @t11) (or @t468 (not (tptp.c_Natural_Oevaln @t20 @t466 @t11 @t467))))) % 15.95/16.16 (assume @p662 @t573) % 15.95/16.16 (assume @p663 @t574) % 15.95/16.16 (assume @p664 (not @t575)) % 15.95/16.16 (assume @p665 @t578) % 15.95/16.16 (assume @p666 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 15.95/16.16 (assume @p667 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 15.95/16.16 (assume @p668 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 15.95/16.16 (assume @p669 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 15.95/16.16 (assume @p670 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 15.95/16.16 (assume @p671 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 15.95/16.16 (assume @p672 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 15.95/16.16 (assume @p673 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 15.95/16.16 (assume @p674 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 15.95/16.16 (assume @p675 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 15.95/16.16 (assume @p676 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 15.95/16.16 (assume @p677 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 15.95/16.16 (assume @p678 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 15.95/16.16 (assume @p679 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 15.95/16.16 (assume @p680 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 15.95/16.16 (assume @p681 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 15.95/16.16 (assume @p682 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 15.95/16.16 (assume @p683 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 15.95/16.16 (assume @p684 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 15.95/16.16 (assume @p685 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 15.95/16.16 (assume @p686 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 15.95/16.16 (assume @p687 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 15.95/16.16 (assume @p688 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 15.95/16.16 (assume @p689 (tptp.class_Divides_Osemiring__div tptp.tc_nat)) % 15.95/16.16 (assume @p690 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 15.95/16.16 (assume @p691 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 15.95/16.16 (assume @p692 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 15.95/16.16 (step @p693 :rule instantiate :premises (@p627) :args ((@list tptp.v_com tptp.v_xa tptp.v_n tptp.v_xb))) % 15.95/16.16 (step @p694 :rule cnf_or_pos :args (@t581)) % 15.95/16.16 (step @p695 :rule reordering :premises (@p694) :args ((or @t579 @t580 (not @t581)))) % 15.95/16.16 (step @p696 :rule chain_m_resolution :premises (@p695 @p663 @p693) :args (@t580 (@list false false) (@list @t574 @t581))) % 15.95/16.16 (step @p697 :rule cnf_or_pos :args (@t584)) % 15.95/16.16 (step @p698 :rule reordering :premises (@p697) :args ((or @t575 @t582 @t583 @t585))) % 15.95/16.16 (step @p699 :rule chain_m_resolution :premises (@p698 @p664 @p662 @p696) :args (@t585 (@list true false false) (@list @t575 @t573 @t580))) % 15.95/16.16 (assume-push @p706 @t578) % 15.95/16.16 (step @p701 :rule instantiate :premises (@p665) :args ((@list tptp.v_x tptp.v_xb tptp.v_xa))) % 15.95/16.16 (step-pop @p707 :rule scope :premises (@p701)) % 15.95/16.16 (step @p702 :rule process_scope :premises (@p707) :args (@t584)) % 15.95/16.16 (step @p704 :rule implies_elim :premises (@p702)) % 15.95/16.16 (step @p705 false :rule chain_m_resolution :premises (@p704 @p699 @p665) :args (false (@list true false) (@list @t584 @t578))) % 15.95/16.16 ) % 15.95/16.16 % SZS output end Proof % 15.95/16.16 % cvc5 exiting %------------------------------------------------------------------------------